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These are triage-oriented views, not the main review queue. Updating a PR may remove it from one of these lists, but does not remove it from the review queue unless the PR's status changes out of awaiting review.
| Number |
Author |
Title |
Description |
Labels |
+/- |
Modified files (first 100) |
📝 |
💬 |
All users who commented or reviewed |
Assignee(s) |
Approval(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 |
none |
97-34207 3 months ago |
80-81216 80 days ago |
113-35094 113 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 |
3 |
62-81660 2 months ago |
62-81624 62 days ago |
78-15227 78 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 |
none |
46-58585 1 month ago |
58-34687 58 days ago |
58-34653 58 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 |
none |
46-2262 1 month ago |
46-2324 46 days ago |
57-3420 57 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 |
none |
45-21670 1 month ago |
45-78298 45 days ago |
45-77738 45 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 |
none |
45-12904 1 month ago |
45-23054 45 days ago |
45-22494 45 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 |
none |
44-7017 1 month ago |
44-7057 44 days ago |
84-1847 84 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 |
none |
42-33156 1 month ago |
42-69285 42 days ago |
42-68725 42 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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[](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 |
1 |
40-11491 1 month ago |
40-11530 40 days ago |
45-41678 45 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 |
none |
39-8532 1 month ago |
46-29740 46 days ago |
46-29180 46 days |
| 39195 |
linesthatinterlace author:linesthatinterlace |
feat(Logic/Function/Defs): Add dcomp lemmas |
This PR adds API lemmas about `dcomp` that were previously missing.
---
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|
t-logic |
13/0 |
Mathlib/Logic/Function/Defs.lean |
1 |
6 |
['github-actions', 'linesthatinterlace', 'plp127'] |
nobody |
none |
36-78149 1 month ago |
37-79648 37 days ago |
37-79088 37 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 |
1 |
36-42512 1 month ago |
37-30748 37 days ago |
37-30188 37 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 |
none |
35-66332 1 month ago |
35-66411 35 days ago |
35-66341 35 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 |
1 |
35-37803 1 month ago |
42-2381 42 days ago |
67-68077 67 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 |
none |
34-65066 1 month ago |
34-67156 34 days ago |
34-66596 34 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 |
1 |
33-31290 1 month ago |
33-31362 33 days ago |
33-39398 33 days |
| 39549 |
Hagb author:Hagb |
feat(Order/RelIso/Basic): `swap`s and `compl`s are `Equiv`s |
---
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|
t-order |
13/8 |
Mathlib/Order/RelIso/Basic.lean |
1 |
3 |
['Hagb', 'github-actions', 'leanprover-radar'] |
nobody |
none |
30-49687 30 days ago |
30-52128 30 days ago |
30-51568 30 days |
| 29744 |
espottesmith author:espottesmith |
feat(Combinatorics): define directed hypergraphs |
This PR defines directed hypergraphs:
```
@[ext]
structure DiHypergraph (α : Type*) where
/-- The vertex set -/
vertexSet : Set α
/-- The edge set -/
edgeSet : Set ((Set α) × (Set α))
/-- Each edge is a pair (s, d), where s ⊆ vertexSet and d ⊆ vertexSet -/
edge_src_dst_isSubset_vertexSet' : ∀ ⦃e⦄, e ∈ edgeSet → e.1 ⊆ vertexSet ∧ e.2 ⊆ vertexSet
```
Additional definitions:
- tail/head stars and negative/positive stars
- some special cases (B-Graph, F-Graph, BF-Graph, and what I'm calling a "non-endless" dihypergraph, where neither the source/tail nor the destination/head are empty)
- Vertex and (hyper)edge adjacency
- isolated vertices
- empty and nonempty dihypergraphs
The design employed here is based off of #28613, but this PR does not depend on that one.
---
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|
t-combinatorics
new-contributor
|
398/0 |
Mathlib.lean,Mathlib/Combinatorics/DiHypergraph/Basic.lean |
2 |
4 |
['b-mehta', 'espottesmith', 'github-actions', 'mathlib4-merge-conflict-bot'] |
nobody |
none |
30-34214 30 days ago |
76-3599 76 days ago |
133-72906 133 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 |
1 |
30-34213 30 days ago |
155-51321 155 days ago |
155-50761 155 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 |
1 |
29-72271 29 days ago |
29-72336 29 days ago |
39-45689 39 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 |
1 |
29-25891 29 days ago |
30-52549 30 days ago |
30-51989 30 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 |
none |
28-83720 28 days ago |
28-83803 28 days ago |
28-83243 28 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 |
none |
28-72703 28 days ago |
28-85256 28 days ago |
28-86326 28 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 |
none |
28-62880 28 days ago |
28-63474 28 days ago |
28-62914 28 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 |
none |
28-62862 28 days ago |
28-63257 28 days ago |
28-62697 28 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 |
none |
28-34212 28 days ago |
59-73763 59 days ago |
104-80186 104 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 |
none |
28-32666 28 days ago |
28-32747 28 days ago |
28-32187 28 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 |
none |
27-77014 27 days ago |
27-81484 27 days ago |
28-42234 28 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 |
none |
27-7096 27 days ago |
27-7173 27 days ago |
27-16265 27 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 |
none |
27-2605 27 days ago |
27-2674 27 days ago |
27-2714 27 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 |
none |
26-34214 26 days ago |
112-60069 112 days ago |
115-7395 115 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 |
none |
26-25374 26 days ago |
26-25449 26 days ago |
26-24889 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 |
none |
25-84497 25 days ago |
25-84497 25 days ago |
30-52387 30 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 |
none |
25-54889 25 days ago |
25-54922 25 days ago |
26-73719 26 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 |
none |
25-23913 25 days ago |
25-23993 25 days ago |
25-23433 25 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 |
none |
24-65043 24 days ago |
24-65111 24 days ago |
24-64850 24 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 |
none |
24-31717 24 days ago |
24-31986 24 days ago |
24-31426 24 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 |
none |
24-18208 24 days ago |
24-59880 24 days ago |
24-59320 24 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 |
none |
24-6136 24 days ago |
24-19556 24 days ago |
24-18996 24 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 |
2 |
24-5608 24 days ago |
24-7272 24 days ago |
28-57011 28 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 |
none |
23-77570 23 days ago |
23-78801 23 days ago |
23-78241 23 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 |
none |
23-74723 23 days ago |
23-74798 23 days ago |
23-76483 23 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 |
1 |
23-72755 23 days ago |
26-26929 26 days ago |
26-26369 26 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 |
none |
23-70562 23 days ago |
23-70620 23 days ago |
23-70087 23 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 |
none |
23-46387 23 days ago |
24-69213 24 days ago |
25-46623 25 days |
| 39722 |
kg583 author:kg583 |
feat(Combinatorics): Link `Nat.Partition` to `YoungDiagram` |
---
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AI disclosure: Claude was used to source some proof sketches.
[](https://gitpod.io/from-referrer/)
|
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 |
2 |
23-26196 23 days ago |
25-53405 25 days ago |
26-50420 26 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 |
1 |
23-2637 23 days ago |
26-84748 26 days ago |
26-84188 26 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 |
none |
22-75095 22 days ago |
22-75136 22 days ago |
38-68333 38 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 |
none |
22-69712 22 days ago |
22-69789 22 days ago |
85-20944 85 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 |
none |
22-56574 22 days ago |
22-56582 22 days ago |
22-58911 22 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 |
none |
21-67254 21 days ago |
21-68599 21 days ago |
21-68039 21 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 |
1 |
21-65266 21 days ago |
22-21176 22 days ago |
22-20616 22 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 |
none |
21-49956 21 days ago |
23-7263 23 days ago |
23-6703 23 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 |
none |
21-46560 21 days ago |
21-46695 21 days ago |
23-685 23 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 |
none |
21-34215 21 days ago |
60-18899 60 days ago |
60-18339 60 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 |
none |
21-34211 21 days ago |
47-59714 47 days ago |
47-59208 47 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 |
1 |
20-83478 20 days ago |
37-71759 37 days ago |
37-71363 37 days |
| 39973 |
tb65536 author:tb65536 |
chore(Topology/Algebra/Category/ProfiniteGrp/*): to_additivize some declarations |
This PR to_additivizes some declarations relating to profinite groups. There were a few trickier declarations that I left out of this PR for now.
---
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|
t-algebra
t-group-theory
t-topology
label:t-algebra$ |
28/3 |
Mathlib/Topology/Algebra/Category/ProfiniteGrp/Basic.lean,Mathlib/Topology/Algebra/Category/ProfiniteGrp/Completion.lean,Mathlib/Topology/Algebra/Category/ProfiniteGrp/Limits.lean |
3 |
2 |
['github-actions'] |
nobody |
none |
20-72938 20 days ago |
20-72938 20 days ago |
20-72463 20 days |
| 39807 |
vihdzp author:vihdzp |
feat: universe-heterogeneous cardinal equality |
We introduce a predicate `LiftEq a b`, with notation `a =ₗ b`, which states that two cardinals (in different universes) are equal. This serves as a single canonical spelling for `lift.{v} a = lift.{u} b` and similar incantations.
Future PRs will introduce the analogous predicates for `<` and `≤`, and a notation typeclass so the notation can be reused for `Ordinal` and `OrderType`.
---
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|
t-set-theory |
319/152 |
Mathlib/Algebra/FreeAlgebra/Cardinality.lean,Mathlib/CategoryTheory/Abelian/GrothendieckCategory/EnoughInjectives.lean,Mathlib/FieldTheory/IsAlgClosed/Classification.lean,Mathlib/LinearAlgebra/Dimension/Basic.lean,Mathlib/LinearAlgebra/Dimension/Constructions.lean,Mathlib/LinearAlgebra/Dimension/Free.lean,Mathlib/LinearAlgebra/Dimension/FreeAndStrongRankCondition.lean,Mathlib/LinearAlgebra/Dimension/LinearMap.lean,Mathlib/LinearAlgebra/Dimension/StrongRankCondition.lean,Mathlib/ModelTheory/Basic.lean,Mathlib/ModelTheory/Satisfiability.lean,Mathlib/RingTheory/AlgebraicIndependent/Basic.lean,Mathlib/RingTheory/AlgebraicIndependent/RankAndCardinality.lean,Mathlib/RingTheory/AlgebraicIndependent/TranscendenceBasis.lean,Mathlib/RingTheory/LinearDisjoint.lean,Mathlib/RingTheory/Localization/Cardinality.lean,Mathlib/SetTheory/Cardinal/Aleph.lean,Mathlib/SetTheory/Cardinal/Arithmetic.lean,Mathlib/SetTheory/Cardinal/Basic.lean,Mathlib/SetTheory/Cardinal/Defs.lean,Mathlib/SetTheory/Cardinal/ENat.lean,Mathlib/SetTheory/Cardinal/Order.lean,Mathlib/SetTheory/Cardinal/ToNat.lean,Mathlib/SetTheory/Ordinal/Univ.lean,Mathlib/SetTheory/ZFC/Cardinal.lean |
25 |
2 |
['acmepjz', 'github-actions'] |
nobody |
none |
20-49379 20 days ago |
23-58009 23 days ago |
23-57691 23 days |
| 32294 |
jsm28 author:jsm28 |
feat(Geometry/Euclidean/Angle/Incenter): distance from second intersection with circumcircle |
Add the following lemma: given a triangle ABC, suppose an angle bisector from A through the incenter or excenter I meets the circumcircle again at X (including the case of an external bisector at A tangent to the circle, in which case X = A). Then XB = XI (= XC, by applying this lemma again). This is a standard configuration: https://en.wikipedia.org/wiki/Incenter%E2%80%93excenter_lemma
---
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|
t-euclidean-geometry |
214/0 |
Mathlib/Geometry/Euclidean/Angle/Incenter.lean |
1 |
5 |
['github-actions', 'jsm28', 'mathlib-dependent-issues', 'mathlib4-merge-conflict-bot', 'peakpoint'] |
nobody |
none |
20-41414 20 days ago |
20-41483 20 days ago |
82-58244 82 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 |
none |
20-6761 20 days ago |
20-9079 20 days ago |
20-8519 20 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 |
none |
20-4158 20 days ago |
20-4228 20 days ago |
20-4363 20 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 |
none |
19-73103 19 days ago |
21-54813 21 days ago |
21-54853 21 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 |
none |
19-72577 19 days ago |
46-22659 46 days ago |
46-22099 46 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 |
none |
19-67135 19 days ago |
19-67204 19 days ago |
19-66644 19 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 |
none |
19-65326 19 days ago |
19-65412 19 days ago |
19-64852 19 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 |
none |
19-64726 19 days ago |
19-65570 19 days ago |
19-65010 19 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 |
none |
19-63905 19 days ago |
24-49981 24 days ago |
24-49421 24 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 |
none |
19-7313 19 days ago |
19-7394 19 days ago |
50-21507 50 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 |
none |
18-85112 18 days ago |
18-85148 18 days ago |
31-30450 31 days |
| 39857 |
plp127 author:plp127 |
chore(Order/CompleteLattice/Basic): `Sort*` polymorphism |
Generalize some theorems from `Type*` to `Sort*`. Also make type-variables explicitly either `Type*` or `Sort*`.
---
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|
t-order |
15/20 |
Mathlib/Order/CompleteLattice/Basic.lean |
1 |
4 |
['SnirBroshi', 'b-mehta', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
none |
18-28866 18 days ago |
18-28903 18 days ago |
22-29058 22 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 |
none |
18-20131 18 days ago |
25-35608 25 days ago |
34-43253 34 days |
| 39759 |
plp127 author:plp127 |
chore(FieldTheory/KrullTopology): move lemmas to earlier file |
We move some lemmas unrelated to the Krull topology out of the `KrullTopology` file. They are placed in the earlier file `FieldTheory/IsGalois/Basic` instead.
---
In #23693 it is said that
> The proof of it uses some results in this file, so it can't be put into earlier files.
This is no longer true, so we want move it out of the `KrullTopology` file because the theorems have nothing to do with the Krull topology. I found that they can go in `FieldTheory/IsGalois/Basic` without modifying the proofs. They cannot go any earlier because the statement of the theorems contains `IsGalois`, which is defined in this file.
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|
t-algebra label:t-algebra$ |
59/68 |
Mathlib/FieldTheory/Galois/Basic.lean,Mathlib/FieldTheory/KrullTopology.lean |
2 |
5 |
['acmepjz', 'github-actions', 'grunweg', 'plp127', 'vihdzp'] |
nobody |
1 |
18-18567 18 days ago |
25-48107 25 days ago |
25-47547 25 days |
| 40033 |
JJYYY-JJY author:JJYYY-JJY |
chore: remove flexible linter suppressions |
This PR removes two local `linter.flexible` suppressions by replacing compact `simp; infer_instance` with explicit proofs.
Changed files:
- `Mathlib/Dynamics/TopologicalEntropy/DynamicalEntourage.lean`
- `Mathlib/Topology/UniformSpace/Ultra/Constructions.lean`
Tested with:
`lake build`
---
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|
new-contributor |
6/8 |
Mathlib/Dynamics/TopologicalEntropy/DynamicalEntourage.lean,Mathlib/Topology/UniformSpace/Ultra/Constructions.lean |
2 |
6 |
['chenson2018', 'github-actions', 'vihdzp'] |
nobody |
2 |
17-62622 17 days ago |
19-42806 19 days ago |
19-42246 19 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 |
none |
17-51668 17 days ago |
17-52907 17 days ago |
17-52389 17 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 |
none |
17-7591 17 days ago |
20-84953 20 days ago |
21-85789 21 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 |
1 |
16-46696 16 days ago |
20-51831 20 days ago |
21-15185 21 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 |
none |
16-45894 16 days ago |
22-33177 22 days ago |
22-32617 22 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 |
none |
16-39517 16 days ago |
19-61405 19 days ago |
19-60845 19 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 |
1 |
16-19501 16 days ago |
19-97 18 days ago |
18-85937 18 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 |
none |
15-51521 15 days ago |
20-73827 20 days ago |
20-73267 20 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 |
1 |
15-5355 15 days ago |
15-5437 15 days ago |
19-58519 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 |
none |
14-72075 14 days ago |
14-72440 14 days ago |
14-71880 14 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 |
none |
14-69071 14 days ago |
14-74714 14 days ago |
14-80125 14 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 |
none |
14-66405 14 days ago |
14-68845 14 days ago |
14-72139 14 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 |
none |
14-54285 14 days ago |
14-54371 14 days ago |
14-53811 14 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 |
none |
14-34214 14 days ago |
47-44934 47 days ago |
80-7054 80 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 |
none |
14-33526 14 days ago |
14-33567 14 days ago |
20-46323 20 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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[](https://gitpod.io/from-referrer/)
|
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 |
none |
14-30638 14 days ago |
14-78043 14 days ago |
14-77483 14 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 |
none |
14-19925 14 days ago |
14-19925 14 days ago |
14-28108 14 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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[](https://gitpod.io/from-referrer/)
|
t-ring-theory
large-import
|
267/2 |
Mathlib/RingTheory/AdicCompletion/Noetherian.lean |
1 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
nobody |
none |
14-19568 14 days ago |
17-56849 17 days ago |
17-56785 17 days |
| 40144 |
astrainfinita author:astrainfinita |
perf: lower the priority of `Normed*.to*` instances |
This PR further lowers the priority of these instances, since lower instance priority usually means priority 100, whereas we want these instances to have an even lower priority.
Only one file got significantly slower from searching for AddCommMonoid ↥(Lp ?m 1 ?m') during unification. Lean tries AddSubgroupClass.toAddCommGroup and then gets stuck on the metavariables. Adding a shortcut instance for Lp resolves it directly and avoids any further search.
---
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[](https://gitpod.io/from-referrer/)
|
t-analysis
t-algebra
label:t-algebra$ |
37/16 |
Mathlib/Analysis/Normed/Field/Basic.lean,Mathlib/Analysis/Normed/Group/Defs.lean,Mathlib/Analysis/Normed/Ring/Basic.lean,Mathlib/MeasureTheory/Function/LpSpace/Basic.lean |
4 |
5 |
['astrainfinita', 'github-actions', 'leanprover-radar'] |
nobody |
none |
14-3387 14 days ago |
16-5373 16 days ago |
16-4813 16 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 |
none |
14-2917 14 days ago |
14-2993 14 days ago |
32-21176 32 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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[](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 |
1 |
14-424 14 days ago |
14-504 13 days ago |
26-38676 26 days |
| 40220 |
riccardobrasca author:riccardobrasca |
feat: add prime_units_mul and variants |
From flt-regular.
---
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[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
15/0 |
Mathlib/Algebra/Prime/Lemmas.lean |
1 |
1 |
['github-actions'] |
nobody |
none |
13-77615 13 days ago |
13-77700 13 days ago |
13-77140 13 days |
| 37723 |
xgenereux author:xgenereux |
feat(Adjoin/Polynomial/Transcendental): Adjoining transcendental elements |
This PR establishes some basic properties about `A[y]` when `y` is transcendental over `A`. These are mostly just carried over from `A[X]`.
- Move `algEquivOfTranscendental` in the newly created file `Mathlib.RingTheory.Adjoin.Polynomial.Transcendental`
- Add `Algebra.adjoin.evalOfTranscendental`. This is technically very similar to `Algebra.adjoin.liftSingleton` but the definition is much simpler. It is also currently more general in the sense that it doesn't require `A` to be a field.
- Some basic instances from `Polynomial`. Note that these are actually theorems because of the hypothesis `(h : Transcendental R s)` everywhere. I've also added a `Fact` version to allow the possibility of instances.
Last note : I initially considered adding some results in `RingTheory.Polynomial.Quotient` where I golfed the file a tiny bit. I removed the unused results but kept the golf.
AI disclaimer : I used Claude to give me some feedback on the PR.
Co-authored-by: María Inés de Frutos Fernández <[mariaines.dff@gmail.com](mailto:mariaines.dff@gmail.com)>
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|
t-ring-theory |
167/70 |
Mathlib.lean,Mathlib/FieldTheory/RatFunc/AsPolynomial.lean,Mathlib/RingTheory/Adjoin/Polynomial/Basic.lean,Mathlib/RingTheory/Adjoin/Polynomial/Bivariate.lean,Mathlib/RingTheory/Adjoin/Polynomial/Transcendental.lean,Mathlib/RingTheory/Algebraic/Basic.lean,Mathlib/RingTheory/Polynomial/Quotient.lean |
7 |
5 |
['github-actions', 'leanprover-radar', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'riccardobrasca'] |
nobody |
none |
13-73964 13 days ago |
13-79224 13 days ago |
13-80846 13 days |
| 38054 |
chrisflav author:chrisflav |
feat(RingTheory): category of finite étale algebras over a separably closed field |
We define the category of finite étale `R`-algebras for a ring `R` and show it is equivalent to `FintypeCat` if `R` is a separably closed field.
From Pi1.
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[](https://gitpod.io/from-referrer/)
|
t-ring-theory |
220/0 |
Mathlib.lean,Mathlib/FieldTheory/IntermediateField/Adjoin/Basic.lean,Mathlib/RingTheory/Etale/Basic.lean,Mathlib/RingTheory/Etale/Finite.lean,Mathlib/RingTheory/TensorProduct/Maps.lean,Mathlib/RingTheory/TotallySplit.lean |
6 |
6 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
none |
13-73779 13 days ago |
13-73855 13 days ago |
14-70418 14 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 |
1 |
13-70057 13 days ago |
19-83874 19 days ago |
19-83393 19 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 |
none |
13-64397 13 days ago |
13-65288 13 days ago |
13-64728 13 days |
| 40193 |
BoltonBailey author:BoltonBailey |
chore(1000.yaml): add entries |
This PR adds data on a number of previously missing entries to 1000.yaml that were found during the course of Project Numina's preparation of LeanTriathlon.
These include:
- `comment`s with references to formalized statements of theorems (mostly from the formal-conjectures repo) in cases where they exist, (it seems that, while we can add unproven statements and statements from other repos, we can't really include unproven statements from other repos using the system as it currently exists)
- `comment`s about related definitions to certain theorems in mathlib.
- `url` references to a few complete formalizations in a variety of other repositories.
- `decl` for the preexisting `prime_ideal_of_disjoint_filter_ideal` theorem in Mathlib, which as far as I can tell is just a more general version of the Boolean Prime Ideal theorem.
AI was used in large scale scans to identify these missing entries, but I have done my best to check manually that the statements are correct.
---
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[](https://gitpod.io/from-referrer/)
|
|
18/2 |
docs/1000.yaml |
1 |
8 |
['BoltonBailey', 'github-actions', 'wwylele'] |
nobody |
none |
13-53025 13 days ago |
13-53814 13 days ago |
13-54478 13 days |
| 39449 |
Paul-Lez author:Paul-Lez |
doc: add library note about scoping simp lemmas with weak keys |
In PR #39262 I noticed that some `simp` lemmas were scoped for a reason that is not immediately obvious, so I figured that adding a library note would be nice in case anyone else runs into this in the future (this pattern is quite common in Mathlib!)
In case it's helpful for review, here are links to a few of the PRs that added this scoping initially:
- #14233
- #15620
- #15631
---
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[](https://gitpod.io/from-referrer/)
|
|
71/4 |
Mathlib.lean,Mathlib/Algebra/AddConstMap/Basic.lean,Mathlib/Algebra/CharP/Two.lean,Mathlib/Algebra/GradedMonoid.lean,Mathlib/Algebra/Ring/BooleanRing.lean,Mathlib/Algebra/Ring/CharZero.lean,Mathlib/Tactic.lean,Mathlib/Tactic/SimpLibraryNote.lean |
8 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
none |
13-32373 13 days ago |
13-32373 13 days ago |
26-39565 26 days |
| 38334 |
8e7 author:8e7 |
feat(Combinatorics/SimpleGraph/TreeDecomp): define tree decompositions |
Add definition for tree decompositions on simple graphs. Define the tree width of a simple graph and prove basic statements and conversions.
```lean
structure TreeDecomp (G : SimpleGraph V) where
/-- The type of bags in the tree. -/
W : Type
/-- The set of vertices in each bag. -/
𝓧 : W → Finset V
/-- The graph adjacency relation of bags. -/
T : SimpleGraph W
/-- T must be a tree. -/
isTree : IsTree T
/-- All vertices in G must appear in some bag. -/
vertexCover : ∀ v : V, ∃ w : W, v ∈ 𝓧 w
/-- For any edge (u, v) in G, there is a bag containing both u and v. -/
edgeCover ⦃u v : V⦄ : G.Adj u v → ∃ w : W, u ∈ 𝓧 w ∧ v ∈ 𝓧 w
/-- For any vertex v in G, the set of bags that contain v is preconnected. -/
connectedBags : ∀ v : V, (T.induce ({w | v ∈ 𝓧 w})).Preconnected
```
AI Usage: Some proofs are written with the help of Claude Code, and everything has been manually reviewed.
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[](https://gitpod.io/from-referrer/)
|
new-contributor
t-combinatorics
LLM-generated
|
382/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/TreeDecomp.lean |
2 |
7 |
['8e7', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
none |
13-27013 13 days ago |
13-27877 13 days ago |
13-49370 13 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 |
none |
13-23021 13 days ago |
13-24491 13 days ago |
13-23931 13 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 |
none |
12-62851 12 days ago |
12-63700 12 days ago |
12-63140 12 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 |
none |
12-40813 12 days ago |
12-41718 12 days ago |
12-41158 12 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 |
none |
12-20369 12 days ago |
12-25563 12 days ago |
12-27009 12 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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[](https://gitpod.io/from-referrer/)
|
t-ring-theory |
39/1 |
Mathlib/Algebra/Group/WithOne/Defs.lean,Mathlib/RingTheory/Valuation/Extension.lean |
2 |
4 |
['github-actions', 'plp127', 'riccardobrasca'] |
nobody |
none |
11-78351 11 days ago |
11-79188 11 days ago |
21-28248 21 days |
| 40297 |
alreadydone author:alreadydone |
feat(LinearAlgebra/Contraction): bijectivity of `dualTensorHom` + generalize to `CommSemiring` |
migrated from #25284
---
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[](https://gitpod.io/from-referrer/)
|
t-algebra
t-ring-theory
label:t-algebra$ |
184/33 |
Mathlib/Data/Finsupp/Defs.lean,Mathlib/LinearAlgebra/Contraction.lean,Mathlib/LinearAlgebra/Pi.lean,Mathlib/LinearAlgebra/Trace.lean,Mathlib/RingTheory/Finiteness/Finsupp.lean |
5 |
1 |
['github-actions'] |
nobody |
none |
11-66339 11 days ago |
11-68747 11 days ago |
11-68187 11 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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[](https://gitpod.io/from-referrer/)
|
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 |
none |
11-33683 11 days ago |
11-36774 11 days ago |
69-60459 69 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 |
none |
11-33622 11 days ago |
15-54212 15 days ago |
47-4670 47 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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[](https://gitpod.io/from-referrer/)
|
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 |
none |
11-23211 11 days ago |
11-25610 11 days ago |
11-25706 11 days |
| 40304 |
grunweg author:grunweg |
perf: lower priority for IsSimpleGroup.toNontrivial attributes |
These instances have very weak keys ([Nontrivial, *]), hence are always applied. Let's try lowering their priority.
---
Found using an updated version of this code: https://leanprover.zulipchat.com/#narrow/channel/144837-PR-reviews/topic/.2322780.20scoping.20a.20few.20instances.20with.20weak.20keys/with/504683279
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[](https://gitpod.io/from-referrer/)
|
|
9/1 |
Mathlib/Algebra/Quandle.lean,Mathlib/GroupTheory/Subgroup/Simple.lean,Mathlib/RingTheory/SimpleRing/Basic.lean |
3 |
9 |
['github-actions', 'grunweg', 'leanprover-radar'] |
nobody |
none |
11-7826 11 days ago |
11-43640 11 days ago |
11-46064 11 days |
| 33247 |
sun123zxy author:sun123zxy |
feat(Mathlib/RingTheory/Ideal/Cotangent): dimension of cotangent spaces |
It is shown that the span rank of the maximal ideal of a local ring equals the dimension of the cotangent space
if the maximal ideal is finitely generated.
---
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- [ ] depends on: #33361
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-ring-theory
|
39/0 |
Mathlib/RingTheory/Ideal/Cotangent.lean |
1 |
15 |
['erdOne', 'github-actions', 'mathlib-bors', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot', 'sun123zxy'] |
nobody |
none |
11-6681 11 days ago |
11-6683 11 days ago |
14-79722 14 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 |
none |
11-199 11 days ago |
11-1032 11 days ago |
11-844 11 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 |
none |
10-85381 10 days ago |
12-2052 12 days ago |
12-1492 12 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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[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
52/0 |
Mathlib/Combinatorics/SimpleGraph/Paths.lean |
1 |
10 |
['IvanRenison', 'SnirBroshi', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'vlad902'] |
nobody |
1 |
10-76387 10 days ago |
10-77207 10 days ago |
11-64210 11 days |
| 37578 |
IvanRenison author:IvanRenison |
feat(Combinatorics/SimpleGraph/Girth): add lemma `Walk.IsCircuit.egirth_le_length` |
---
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[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
15/0 |
Mathlib/Combinatorics/SimpleGraph/Girth.lean |
1 |
5 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
none |
10-76221 10 days ago |
10-77013 10 days ago |
10-78559 10 days |
| 37680 |
IvanRenison author:IvanRenison |
feat(Combinatorics/SimpleGraph/Clique): add lemmas about isomorphisms and cliques |
---
Idea from this Zulip thread: [#**graph theory>Second Order Monadic Logic for Graph** ](https://leanprover.zulipchat.com/#narrow/channel/252551-graph-theory/topic/Second.20Order.20Monadic.20Logic.20for.20Graph/with/583013775)
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[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
86/0 |
Mathlib/Combinatorics/SimpleGraph/Clique.lean |
1 |
6 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
none |
10-73978 10 days ago |
10-74789 10 days ago |
10-74761 10 days |
| 37751 |
JovanGerb author:JovanGerb |
chore(Order/Filter/IsBounded): use `to_dual` |
use `to_dual` for `Filter.IsBounded`
---
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[](https://gitpod.io/from-referrer/)
|
|
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 |
none |
10-66156 10 days ago |
11-54874 11 days ago |
11-55837 11 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 |
none |
10-56599 10 days ago |
22-56613 22 days ago |
22-59780 22 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 |
none |
10-54733 10 days ago |
10-55657 10 days ago |
10-61655 10 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 |
none |
10-51243 10 days ago |
11-67930 11 days ago |
11-67370 11 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 |
none |
10-51222 10 days ago |
10-69607 10 days ago |
10-69289 10 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 |
none |
10-25163 10 days ago |
32-74344 32 days ago |
32-74144 32 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 |
none |
10-4442 10 days ago |
10-5289 10 days ago |
26-83414 26 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 |
none |
9-85983 9 days ago |
13-65620 13 days ago |
13-66825 13 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 |
none |
9-76165 9 days ago |
9-77329 9 days ago |
9-76769 9 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 |
none |
9-73472 9 days ago |
9-74350 9 days ago |
10-56995 10 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 |
none |
9-65539 9 days ago |
9-66282 9 days ago |
9-65892 9 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 |
none |
9-61965 9 days ago |
9-75052 9 days ago |
9-74947 9 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 |
none |
9-61695 9 days ago |
10-75801 10 days ago |
10-75241 10 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 |
none |
9-41311 9 days ago |
9-44645 9 days ago |
10-53205 10 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 |
none |
9-40038 9 days ago |
9-43561 9 days ago |
9-46286 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 |
none |
9-31751 9 days ago |
28-82168 28 days ago |
28-81608 28 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 |
none |
9-21567 9 days ago |
9-22397 9 days ago |
9-22265 9 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 |
none |
9-14238 9 days ago |
9-15193 9 days ago |
9-16910 9 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 |
none |
9-10603 9 days ago |
12-48847 12 days ago |
12-48287 12 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 |
none |
9-9875 9 days ago |
9-9927 9 days ago |
9-9368 9 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 |
none |
9-8178 9 days ago |
9-8228 9 days ago |
9-8452 9 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 |
none |
9-6725 9 days ago |
9-6768 9 days ago |
9-6209 9 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 |
none |
8-82167 8 days ago |
8-85465 8 days ago |
8-84905 8 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 |
none |
8-64574 8 days ago |
8-81743 8 days ago |
10-63663 10 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 |
none |
8-63583 8 days ago |
8-65437 8 days ago |
8-64877 8 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 |
none |
8-53685 8 days ago |
8-53745 8 days ago |
8-53199 8 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 |
none |
8-49414 8 days ago |
8-55080 8 days ago |
12-84642 12 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 |
none |
8-47365 8 days ago |
8-66147 8 days ago |
8-65587 8 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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[](https://gitpod.io/from-referrer/)
|
t-ring-theory
t-algebra
label:t-algebra$ |
6/0 |
Mathlib/RingTheory/Ideal/Over.lean |
1 |
1 |
['github-actions'] |
nobody |
none |
8-41699 8 days ago |
8-41749 8 days ago |
8-41190 8 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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[](https://gitpod.io/from-referrer/)
|
t-ring-theory
t-algebra
label:t-algebra$ |
15/0 |
Mathlib/RingTheory/Spectrum/Prime/Basic.lean |
1 |
1 |
['github-actions'] |
nobody |
none |
8-40334 8 days ago |
8-40382 8 days ago |
8-39822 8 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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[](https://gitpod.io/from-referrer/)
|
t-ring-theory
large-import
|
209/2 |
Mathlib/RingTheory/MvPowerSeries/Equiv.lean |
1 |
1 |
['github-actions'] |
nobody |
none |
8-35936 8 days ago |
14-15123 14 days ago |
14-31713 14 days |
| 38957 |
wwylele author:wwylele |
chore(GroupTheory/DivisibleHull): remove `backward.privateInPublic` |
---
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[](https://gitpod.io/from-referrer/)
|
tech debt
t-group-theory
|
5/12 |
Mathlib/GroupTheory/DivisibleHull.lean |
1 |
13 |
['Komyyy', 'github-actions', 'grunweg', 'jcommelin', 'wwylele'] |
nobody |
none |
8-34215 8 days ago |
23-33056 23 days ago |
37-24446 37 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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[Zulip discussion](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/missing.20delaborator.20for.20finsum)
[](https://gitpod.io/from-referrer/)
|
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 |
none |
8-34212 8 days ago |
30-69540 30 days ago |
30-79583 30 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 |
none |
8-29847 8 days ago |
24-77863 24 days ago |
45-24360 45 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 |
none |
8-25949 8 days ago |
8-25949 8 days ago |
8-82024 8 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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[](https://gitpod.io/from-referrer/)
|
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 |
none |
8-11137 8 days ago |
8-51800 8 days ago |
8-51271 8 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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[](https://gitpod.io/from-referrer/)
|
|
51/125 |
Mathlib/Order/Completion.lean,Mathlib/Topology/Sion.lean |
2 |
11 |
['AntoineChambert-Loir', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'vihdzp'] |
nobody |
none |
8-7998 8 days ago |
9-64224 9 days ago |
9-63703 9 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 |
none |
8-6448 8 days ago |
8-7279 8 days ago |
8-6719 8 days |
| 40249 |
vasnesterov author:vasnesterov |
feat(Tactic/ComputeAsymptotics/Multiseries): corecursion for multiseries |
Translate API for general corecursion for `Seq` to `Multiseries`.
---
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This is a part of the `compute_asymptotics` tactic (#28291).
- [x] depends on: #40255
[](https://gitpod.io/from-referrer/) |
t-meta
large-import
|
185/0 |
Mathlib/Tactic/ComputeAsymptotics/Multiseries/Defs.lean |
1 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
nobody |
none |
8-5809 8 days ago |
8-33564 8 days ago |
8-50289 8 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 |
none |
7-72513 7 days ago |
44-84545 44 days ago |
44-83985 44 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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[](https://gitpod.io/from-referrer/)
|
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 |
none |
7-63213 7 days ago |
9-5318 9 days ago |
9-11871 9 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 |
none |
7-59554 7 days ago |
7-64631 7 days ago |
7-64164 7 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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[](https://gitpod.io/from-referrer/)
|
t-topology |
181/0 |
Mathlib.lean,Mathlib/Topology/Algebra/Module/IsWeak.lean |
2 |
1 |
['github-actions'] |
nobody |
none |
7-43749 7 days ago |
7-44568 7 days ago |
7-44077 7 days |
| 40448 |
ChiCubed author:ChiCubed |
feat(LinearAlgebra/Dimension): tower law for algebraic extensions |
We generalise the tower law for `Module.rank` to the situation of a module over an algebraic extension of domains.
---
See [the Zulip thread](https://leanprover.zulipchat.com/#narrow/channel/217875-Is-there-code-for-X.3F/topic/Tower.20law.20for.20.60Module.2Erank.60/) for some associated discussion.
I am not sure about in which file these results should live, or what their names should be. For the file I have gone with `LinearAlgebra/Dimension/Algebraic.lean` for now, because these feel more like dimension theorems than `Algebra.IsAlgebraic` theorems, and IMO do not logically fit into the other existing files in `LinearAlgebra/Dimension`.
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[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
label:t-algebra$ |
110/3 |
Mathlib.lean,Mathlib/LinearAlgebra/Dimension/Algebraic.lean,Mathlib/LinearAlgebra/Dimension/Free.lean |
3 |
4 |
['ChiCubed', 'eric-wieser', 'github-actions'] |
nobody |
none |
7-14670 7 days ago |
8-14209 8 days ago |
8-13649 8 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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[](https://gitpod.io/from-referrer/)
|
t-data |
139/23 |
Mathlib.lean,Mathlib/Data/Finset/Basic.lean,Mathlib/Data/Finsupp/Basic.lean,Mathlib/Data/Finsupp/Defs.lean,Mathlib/Data/Multiset/Basic.lean,Mathlib/Data/Multiset/Find.lean,Mathlib/Data/Set/Subsingleton.lean |
7 |
13 |
['NoahW314', 'YaelDillies', 'eric-wieser', 'github-actions', 'mathlib-dependent-issues'] |
nobody |
none |
7-11317 7 days ago |
8-48018 8 days ago |
8-48388 8 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 |
none |
7-3798 7 days ago |
7-79563 7 days ago |
7-79003 7 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 |
none |
7-3160 7 days ago |
7-5087 7 days ago |
7-7728 7 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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[](https://gitpod.io/from-referrer/)
cc @tb65536 |
t-ring-theory |
68/0 |
Mathlib.lean,Mathlib/RingTheory/Algebraic/NatDenominator.lean |
2 |
2 |
['github-actions', 'tb65536'] |
nobody |
none |
6-84833 6 days ago |
14-74325 14 days ago |
22-65290 22 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 |
none |
6-81714 6 days ago |
6-82507 6 days ago |
6-81998 6 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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[](https://gitpod.io/from-referrer/)
|
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 |
none |
6-76025 6 days ago |
14-24465 14 days ago |
14-26644 14 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 |
none |
6-75004 6 days ago |
12-42149 12 days ago |
31-73083 31 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 |
1 |
6-67232 6 days ago |
6-68114 6 days ago |
6-68127 6 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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[](https://gitpod.io/from-referrer/)
|
t-data |
24/0 |
Mathlib/Data/Nat/Choose/Multinomial.lean |
1 |
1 |
['github-actions'] |
nobody |
none |
6-57403 6 days ago |
6-58357 6 days ago |
6-57829 6 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 |
none |
6-44148 6 days ago |
6-45389 6 days ago |
6-48989 6 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 |
none |
6-43527 6 days ago |
6-44963 6 days ago |
6-44936 6 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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[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
label:t-algebra$ |
255/0 |
Mathlib.lean,Mathlib/Algebra/Category/ModuleCat/LocalizedFunctor.lean |
2 |
14 |
['TheGoedeDoel', 'chrisflav', 'github-actions'] |
nobody |
none |
6-42469 6 days ago |
6-43138 6 days ago |
15-42622 15 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 |
none |
6-34214 6 days ago |
58-38964 58 days ago |
58-39022 58 days |
| 40535 |
smmercuri author:smmercuri |
feat: notation for adele rings |
Notation:
- `K∞` : `NumberField.InfiniteAdeleRing K`;
- `𝔸ᶠ[R, K]`: `IsDedekindDomain.FiniteAdeleRing R K`;
- `𝔸[R, K]` : `NumberField.AdeleRing R K`;
- specialisations `𝔸ᶠ[K]` and `𝔸[K]` to `R = RingOfIntegers K`.
---
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|
44/36 |
Mathlib/NumberTheory/NumberField/AdeleRing.lean,Mathlib/NumberTheory/NumberField/InfiniteAdeleRing.lean,Mathlib/RingTheory/DedekindDomain/FiniteAdeleRing.lean |
3 |
1 |
['github-actions'] |
nobody |
none |
6-8782 6 days ago |
6-9638 6 days ago |
6-9078 6 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 |
none |
6-123 6 days ago |
6-1058 6 days ago |
6-1452 6 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 |
none |
5-81991 5 days ago |
5-85543 5 days ago |
6-78991 6 days |
| 37930 |
vlad902 author:vlad902 |
chore(SimpleGraph): move `cycleGraph` to its own file |
PR #34797 re-defined `cycleGraph` independent of `circulantGraph`. Now move the definition of `cycleGraph` to its own file so that the definition can be used without importing the algebra hierarchy.
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|
t-combinatorics |
171/146 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Circulant.lean,Mathlib/Combinatorics/SimpleGraph/Cycle.lean |
3 |
3 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
none |
5-79808 5 days ago |
5-80616 5 days ago |
48-49468 48 days |
| 40552 |
felixpernegger author:felixpernegger |
feat(Topology): make `CofiniteTopology` Prop valued |
Per discussion at https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/.60CofiniteTopology.60.20should.20be.20Prop.20valued/with/602521494
The old `CofiniteTopology` is now `WithCofiniteTopology` (this mirrors what we do with discrete spaces)
---
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|
t-topology |
39/29 |
Mathlib/Topology/Compactification/OnePoint/Basic.lean,Mathlib/Topology/Constructions.lean,Mathlib/Topology/Irreducible.lean,Mathlib/Topology/NoetherianSpace.lean,Mathlib/Topology/Separation/Basic.lean |
5 |
1 |
['github-actions'] |
nobody |
none |
5-59913 5 days ago |
5-67963 5 days ago |
5-67403 5 days |
| 40496 |
thefundamentaltheor3m author:thefundamentaltheor3m |
feat(LinearAlgebra/AffineSpace/Simplex): Define the surface of a simplex |
---
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|
t-algebra
LLM-generated
new-contributor
label:t-algebra$ |
104/9 |
Mathlib/LinearAlgebra/AffineSpace/Simplex/Basic.lean |
1 |
5 |
['github-actions', 'mathlib-bors', 'thefundamentaltheor3m', 'wwylele'] |
nobody |
none |
5-32942 5 days ago |
5-33788 5 days ago |
5-33306 5 days |
| 40479 |
thefundamentaltheor3m author:thefundamentaltheor3m |
feat(LinearAlgebra/AffineSpace/Simplex/Standard): Define the standard $n$-simplex as an `Affine.Simplex` |
In this PR, we define a basis-dependent construction of an affine simplex, using which we define the standard $n$-simplex in `Fin n → k` in terms of `Pi.basisFun`.
The main constructions are `Affine.Simplex.mkOfAffineBasis` and `Affine.Simplex.mkOfBasis`. The former constructs a simplex from any affine basis of an affine space and the latter constructs an affine simplex in a vector space viewed as an affine space. We then relate the construction to `stdSimplex`, defined in `Analysis.Convex.StdSimplex`.
---
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|
LLM-generated
new-contributor
|
199/0 |
Mathlib.lean,Mathlib/LinearAlgebra/AffineSpace/Basis.lean,Mathlib/LinearAlgebra/AffineSpace/Simplex/Standard.lean,Mathlib/Tactic/Linter/DirectoryDependency.lean |
4 |
3 |
['github-actions', 'wwylele'] |
nobody |
none |
5-32381 5 days ago |
5-45814 5 days ago |
5-45254 5 days |
| 40523 |
j-loreaux author:j-loreaux |
feat: in a dense order, `𝓝[<] a` has `fun x ↦ Ico x a` as a basis |
---
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|
t-topology |
24/0 |
Mathlib/Topology/Order/LeftRightNhds.lean |
1 |
2 |
['github-actions'] |
nobody |
none |
5-28852 5 days ago |
6-44590 6 days ago |
6-44030 6 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 |
1 |
5-14181 5 days ago |
48-31125 48 days ago |
67-64998 67 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 |
none |
5-6842 5 days ago |
7-64631 7 days ago |
7-64181 7 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 |
none |
4-84625 4 days ago |
5-60362 5 days ago |
5-59802 5 days |
| 40242 |
FMLJohn author:FMLJohn |
feat(Topology/Spectral/ConstructibleTopology): if a topological space X is T0, quasi-compact, quasi-separated and prespectral, then X is T2 in the constructible topology |
---
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[](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 |
none |
4-71349 4 days ago |
5-48656 5 days ago |
10-60987 10 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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[](https://gitpod.io/from-referrer/)
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 |
none |
4-70427 4 days ago |
9-55168 9 days ago |
9-74566 9 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 |
none |
4-51602 4 days ago |
24-11954 24 days ago |
35-47310 35 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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[](https://gitpod.io/from-referrer/)
|
t-combinatorics
new-contributor
|
368/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Weighted/Basic.lean,docs/references.bib |
3 |
2 |
['github-actions'] |
nobody |
none |
4-47142 4 days ago |
6-32777 6 days ago |
6-32217 6 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 |
none |
4-34213 4 days ago |
49-73563 49 days ago |
115-71816 115 days |
| 34633 |
mitchell-horner author:mitchell-horner |
feat(Combinatorics/SimpleGraph): define the Zarankiewicz function |
Defines the Zarankiewicz function $z(m, n; s, t)$ in terms of bipartite graphs.
---
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- [x] depends on: #34632
This comes from splitting up #25841 into smaller PRs.
[](https://gitpod.io/from-referrer/)
|
t-combinatorics
maintainer-merge
|
164/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Extremal/Zarankiewicz.lean,Mathlib/Combinatorics/SimpleGraph/Maps.lean |
3 |
30 |
['SnirBroshi', 'YaelDillies', 'b-mehta', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mitchell-horner'] |
nobody |
1 |
4-20957 4 days ago |
4-21767 4 days ago |
83-51915 83 days |
| 28685 |
mitchell-horner author:mitchell-horner |
feat(Combinatorics/SimpleGraph): prove the minimal-degree version of the Erdős-Stone theorem |
Proves the minimal degree-version of the Erdős-Stone theorem:
If `G` has a minimal degree of at least `(1 - 1 / r + o(1)) * card V`, then `G` contains a copy of a `completeEquipartiteGraph` in `r + 1` parts each of size `t`.
The double-counting construction from the proof is available in `namespace ErdosStone`.
---
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- [x] depends on: #25843
- [x] depends on: #27597
- [x] depends on: #27599
- [x] depends on: #28443
- [x] depends on: #28445
- [x] depends on: #28446
- [x] depends on: #28447
This is the first of several pull requests towards the full Erdős-Stone(-Simonovits) theorem, hence the name of the file.
[](https://gitpod.io/from-referrer/) |
t-combinatorics
maintainer-merge
|
329/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Extremal/ErdosStoneSimonovits.lean |
2 |
19 |
['YaelDillies', 'b-mehta', 'github-actions', 'mathlib-dependent-issues', 'mathlib4-merge-conflict-bot', 'mitchell-horner', 'robin-carlier'] |
nobody |
1 |
4-20238 4 days ago |
4-21103 4 days ago |
105-38478 105 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 |
none |
4-17457 4 days ago |
4-20367 4 days ago |
4-23025 4 days |
| 40586 |
kim-em author:kim-em |
ci: self-heal nightly-testing-green after a history rewrite |
This PR makes the `nightly-testing-green` update in `nightly_detect_failure.yml` recover from a history rewrite instead of freezing. The branch is advanced with a plain fast-forward push, which is rejected once `nightly-testing` history diverges from its tip (for example a toolchain reset to an rc). #38847 dropped the original `git push --force` and deferred recovery to a daily force-push job that does not exist, so the branch stuck on `v4.31.0-rc1` for weeks until it was force-pushed by hand.
Fast-forward when possible, and otherwise force-push to recover, but only when the tested commit is strictly newer than the current tip by committer date, so an out-of-order CI completion can never roll the branch backwards. `nightly-testing-daily` keeps its fast-forward-or-skip behavior, and the stale comment referencing the nonexistent force-push job is corrected.
🤖 Prepared with Claude Code |
CI |
26/12 |
.github/workflows/nightly_detect_failure.yml |
1 |
1 |
['github-actions'] |
nobody |
none |
4-11837 4 days ago |
4-14536 4 days ago |
4-13976 4 days |
| 40590 |
BryceT233 author:BryceT233 |
feat(RingTheory/AdjoinRoot): more on `AdjoinRoot' of monic polynomials |
This PR adds some missing basic API for `AdjoinRoot p` where `p` is a monic polynomial.
---
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[](https://gitpod.io/from-referrer/)
|
t-ring-theory |
26/0 |
Mathlib/RingTheory/AdjoinRoot.lean |
1 |
1 |
['github-actions'] |
nobody |
none |
4-7734 4 days ago |
4-8807 4 days ago |
4-8247 4 days |
| 37878 |
YaelDillies author:YaelDillies |
chore(Combinatorics/SimpleGraph): avoid structure relation predicates |
Relation predicates used to be `def`s over a `forall`, which was optimal for usability in fields of other structures. This changed in #35591 and #35192 as a byproduct of reducing apparent code duplication. Unfortunately, the usability issue was overlooked.
This PR restores usability by dropping the use of those relation classes that are `structure`s, ie `Std.Irrefl` and `Std.Transitive`. It also uses more widely the `simp` auto-param on `SimpleGraph.loopless`.
---
- [x] depends on: #38554
I would also be happy to revert #35591 and #35192 since this demonstrates a good use case for the `def` versions of the relation predicates.
[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
80/84 |
Archive/Wiedijk100Theorems/Konigsberg.lean,Mathlib/Combinatorics/SimpleGraph/AdjMatrix.lean,Mathlib/Combinatorics/SimpleGraph/Basic.lean,Mathlib/Combinatorics/SimpleGraph/Bipartite.lean,Mathlib/Combinatorics/SimpleGraph/Clique.lean,Mathlib/Combinatorics/SimpleGraph/CompleteMultipartite.lean,Mathlib/Combinatorics/SimpleGraph/FiveWheelLike.lean,Mathlib/Combinatorics/SimpleGraph/Hall.lean,Mathlib/Combinatorics/SimpleGraph/LineGraph.lean,Mathlib/Combinatorics/SimpleGraph/Maps.lean,Mathlib/Combinatorics/SimpleGraph/Operations.lean,Mathlib/Combinatorics/SimpleGraph/Prod.lean,Mathlib/Combinatorics/SimpleGraph/Regularity/Uniform.lean,Mathlib/Combinatorics/SimpleGraph/Subgraph.lean,Mathlib/Combinatorics/SimpleGraph/Sum.lean,Mathlib/Combinatorics/SimpleGraph/Trails.lean,Mathlib/Combinatorics/SimpleGraph/Triangle/Tripartite.lean,Mathlib/ModelTheory/Graph.lean,Mathlib/Order/RelClasses.lean |
19 |
18 |
['SnirBroshi', 'Vierkantor', 'YaelDillies', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
none |
4-5670 4 days ago |
4-6503 4 days ago |
28-4365 28 days |
| 40578 |
CoolRmal author:CoolRmal |
feat(Topology/Order): convergence of suprema and infima |
The main lemma proved in this PR is that for every function `a : ι → α`, `Tendsto (fun F : Finset ι => F.inf a) atTop (𝓝 (⨅ i, a i))`, where `α` is a complete lattice and a SupConvergenceClass. The corresponding versions for `ciSup`, `iInf`, `ciInf` are also proved. We also prove `ciSup_eq_ciSup_finset`, which is the analogue of [iSup_eq_iSup_finset](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Order/CompleteLattice/Finset.html#iSup_eq_iSup_finset)
Created with the help of codex.
- [ ] #40584 |
t-topology |
118/188 |
Mathlib/Order/ConditionallyCompleteLattice/Basic.lean,Mathlib/Order/ConditionallyCompleteLattice/Finset.lean,Mathlib/Order/ConditionallyCompleteLattice/Indexed.lean,Mathlib/Topology/Order/MonotoneConvergence.lean |
4 |
1 |
['github-actions'] |
nobody |
none |
4-4053 4 days ago |
4-21356 4 days ago |
4-25633 4 days |
| 40397 |
grunweg author:grunweg |
chore(MathlibTest): move test files for linters into the Linter subdirectory |
This means we can use the auto-labelling mechanism to also suggest appropriate labels for these files.
---
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[](https://gitpod.io/from-referrer/)
|
file-removed |
11/11 |
Mathlib/Tactic/Linter/Header.lean,MathlibTest/Linter/DoubleUnderscore.lean,MathlibTest/Linter/DupNamespace.lean,MathlibTest/Linter/GlobalAttributeIn.lean,MathlibTest/Linter/HashCommand.lean,MathlibTest/Linter/HaveLet.lean,MathlibTest/Linter/Header/Basic.lean,MathlibTest/Linter/Header/Fail.lean,MathlibTest/Linter/Header/Verso.lean,MathlibTest/Linter/LongFile.lean,MathlibTest/Linter/Multigoal.lean,MathlibTest/Linter/UnusedTactic.lean,MathlibTest/Linter/Whitespace.lean |
13 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
none |
3-76744 3 days ago |
3-80088 3 days ago |
7-3342 7 days |
| 40591 |
ajirving author:ajirving |
feat(Topology/Algebra): inv and div for infinite products over groups with zero |
Proves two lemmas for infinite products over groups with zero: inverses and division behave as expected provided the limit is nonzero. This requires an extra import to get some of the GroupWithZero API. Maybe the GroupWithZero results should be in a different file but I was just adding to what was already there in Group.lean.
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|
t-topology |
16/0 |
Mathlib/Topology/Algebra/InfiniteSum/Group.lean |
1 |
5 |
['ajirving', 'github-actions', 'plp127'] |
nobody |
none |
3-70106 3 days ago |
4-6972 4 days ago |
4-6577 4 days |
| 40514 |
kbuzzard author:kbuzzard |
chore: make FiniteAdeleRing an abbrev |
`FiniteAdeleRing` is currently a `def`: it's a certain restricted product. We have a ton of API for restricted products, and far less for finite adele rings (although there is a bunch of stuff in FLT which is going to be upstreamed). With recent transparency changes, it seems that we will need to repeat a bunch of the restricted product API for finite adele rings. I think it might be easier just to let FiniteAdeleRing be an `abbrev`. The example of a `backward.isDefEq.respectTransparency false` removal in this PR is just the tip of the iceberg.
---
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@smmercuri what do you think? |
t-ring-theory |
1/12 |
Mathlib/RingTheory/DedekindDomain/FiniteAdeleRing.lean |
1 |
3 |
['github-actions', 'kbuzzard', 'smmercuri'] |
nobody |
none |
3-68151 3 days ago |
3-68990 3 days ago |
6-51431 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 |
3 |
['BoltonBailey', 'github-actions'] |
nobody |
none |
3-59591 3 days ago |
8-70680 8 days ago |
8-70137 8 days |
| 40601 |
BoltonBailey author:BoltonBailey |
ci: add tech debt label |
This PR adds a step to the PR summary bot to make it add the "tech debt" label to PRs that decrease tech debt.
This PR was made with the assistance of Claude code
Thanks to Felix for this idea. Zulip discussion here [#mathlib4 > Technical Debt Counters @ 💬](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Technical.20Debt.20Counters/near/601643776)
---
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|
CI
LLM-generated
|
9/0 |
.github/workflows/PR_summary.yml |
1 |
5 |
['BoltonBailey', 'felixpernegger', 'github-actions'] |
nobody |
none |
3-56002 3 days ago |
3-57784 3 days ago |
0-106 1 minute |
| 40561 |
iosephusferrum author:iosephusferrum |
feat(ModelTheory): quantifier elimination for first-order theories |
This PR introduces `HasQuantifierElimination` for first-order languages, along with some standard criteria to establish it for any language that satisfies them and prerequisite formalization `mathlib4` required on elementary extension pairs (`IsElementaryExtensionPair`) and < κ-generated substructures (`CardinalLTGenerated`). It also states and proves that the first-order theory DLO (dense linear order without endpoints) has quantifier elimination (`dlo_hasQuantifierElimination`), using the newly formalized quantifier elimination criteria.
Co-authored-by: Yağız Kaan Aydoğdu <y.kaan.aydogdu@gmail.com>
Co-authored-by: Salih Erdem Koçak <saliherdemkd@gmail.com>
Advised-by: Ayhan Günaydın <ayhan.gunaydin@bogazici.edu.tr>
Advised-by: Metin Ersin Arıcan <metin.arican@bogazici.edu.tr>
---
[](https://gitpod.io/from-referrer/)
Please note that we have utilized agentic AI tools (Claude Opus, ChatGPT Codex) during the development of this PR. Most of the proofs of the major theorems are directly "translated" from human-language source material (check the diff in `references.bib`) to Lean proofs using mentioned AI tools. However, all design/formalization decisions are made by us. |
new-contributor
LLM-generated
|
976/7 |
Mathlib.lean,Mathlib/ModelTheory/Complexity.lean,Mathlib/ModelTheory/ElementaryExtensionPair.lean,Mathlib/ModelTheory/FinitelyGenerated.lean,Mathlib/ModelTheory/Order.lean,Mathlib/ModelTheory/PartialEquiv.lean,Mathlib/ModelTheory/QuantifierElimination.lean,Mathlib/ModelTheory/Semantics.lean,Mathlib/ModelTheory/Substructures.lean,Mathlib/Tactic/Linter/TextBased/UnicodeLinter.lean,docs/references.bib |
11 |
5 |
['erdkocak', 'felixpernegger', 'github-actions'] |
nobody |
none |
3-50703 3 days ago |
5-46122 5 days ago |
5-45848 5 days |
| 40571 |
yuanyi-350 author:yuanyi-350 |
feat(Powerseries): if `P.subst Q = X`, then ` Q.subst P = X` |
used in #37848
This adds a small helper for compositional inverses of power series.
If `P.constantCoeff = 0`, `coeff 1 P` is a unit, and `P.subst Q = X`, then `Q.subst P = X`.
---
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|
t-ring-theory |
13/0 |
Mathlib/RingTheory/PowerSeries/Substitution.lean |
1 |
2 |
['BoltonBailey', 'github-actions'] |
nobody |
none |
3-44044 3 days ago |
5-6051 5 days ago |
5-5491 5 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 |
none |
3-37271 3 days ago |
9-80366 9 days ago |
20-82397 20 days |
| 40567 |
Erotemic author:Erotemic |
feat(Analysis/InnerProductSpace): gram rigidity theorems |
---
[LLM-generated] This proof was written by Fable 5, Opus 4.8, and critiqued by GPT 5.5.
This PR is the first of what I think are significant mathlib contributions.
I have introduced this problem in: https://leanprover.zulipchat.com/#narrow/channel/583339-AI-authored-projects/topic/AI-assisted.20MDS.20and.20spectral.20PRs/with/602650518
I started down this formalization road attempting to formalize a result about estimating an LLM-benchmark estimation technique: DKPS (Data Kernel Perspective Space): https://github.com/AIQ-Kitware/aiq-dkps-formalization/
I have a basic understanding of lean. I am working to learn the required math to understand this, but I'm afraid I don't pass the "understand every line of this" test. I do however know that the theorem statement look reasonable, and it type checks as part of an argument I do understand at a higher level.
The interesting thing about these proofs is that they were resistant to AI formalization until Fable-5 came out. Still it took a few days of effort to push everything into its current shape.
I'm willing to dedicate more time and work through the process of landing this. |
t-analysis
new-contributor
LLM-generated
|
167/3 |
Mathlib/Analysis/InnerProductSpace/Basic.lean,Mathlib/Analysis/InnerProductSpace/GramMatrix.lean,docs/references.bib |
3 |
36 |
['Erotemic', 'github-actions', 'wwylele'] |
nobody |
1 |
3-33569 3 days ago |
3-56152 3 days ago |
5-28197 5 days |
| 40612 |
kim-em author:kim-em |
feat: add Jacobian challenge based test for new `def_wanted` feature |
This PR adds tests for the new features introduced in batteries#1818, i.e. `def_wanted`, and the ability to safely refer to other `*_wanted` statements from within a `*_wanted` statement. We use the Jacobian challenge as the example. |
|
86/0 |
MathlibTest/JacobianChallenge.lean |
1 |
1 |
['github-actions'] |
nobody |
none |
3-21071 3 days ago |
3-24532 3 days ago |
3-23972 3 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 |
6 |
['github-actions', 'tb65536', 'xroblot'] |
nobody |
none |
3-19536 3 days ago |
5-3822 5 days ago |
10-49675 10 days |
| 39307 |
FordUniver author:FordUniver |
feat(Combinatorics/SimpleGraph/Copy): introduce `UnlabeledCopy` carrier subtype |
Adds `abbrev UnlabeledCopy A B := {B' : B.Subgraph // Nonempty (A ≃g B'.coe)}` and uses it to replace the previous inline filter-set body of `copyCount G H`. Drops the now unused legacy Finset-image bridge `copyCount_eq_card_image_copyToSubgraph`. Adds `uniqueUnlabeledCopyBot` instance so `copyCount_bot` is a one-liner via `Fintype.card_unique`.
Co-authored-by: Malte Jackisch <45597826+MaltyBlanket@users.noreply.github.com>
---
**Step 1/5 of the `Copy` / `InducedCopy` refactor-feat stack.**
This PR isolates the `UnlabeledCopy` type introduction and the count's type-form redefinition from the larger rename/convention work in the rest of the stack. Note that resolving the current clash in naming (`Copy` and `UnlabeledCopy` vs `labelledCopyCount` and `copyCount`) is part of #38745.
|
t-combinatorics
maintainer-merge
|
32/30 |
Mathlib/Combinatorics/SimpleGraph/Copy.lean |
1 |
9 |
['FordUniver', 'SnirBroshi', 'YaelDillies', 'github-actions', 'mathlib-bors', 'mathlib-merge-conflicts', 'mitchell-horner'] |
nobody |
2 |
3-8847 3 days ago |
24-12338 24 days ago |
34-20917 34 days |
| 40261 |
grunweg author:grunweg |
fix(scripts/create_deprecated_modules): produce deprecated modules ob… |
…eying the module system
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- Nat.bit1_add_bit1
- ...
Any other comments you want to keep out of the PR commit should go
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-->
[](https://gitpod.io/from-referrer/)
|
easy
CI
|
7/2 |
scripts/create_deprecated_modules.lean |
1 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
none |
3-6664 3 days ago |
3-7442 3 days ago |
12-44990 12 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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Deletions:
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[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
15/0 |
Mathlib/Combinatorics/Hypergraph/Basic.lean |
1 |
6 |
['SnirBroshi', 'github-actions', 'tb65536'] |
nobody |
none |
3-4356 3 days ago |
5-65180 5 days ago |
6-21186 6 days |
| Number |
Author |
Title |
Description |
Labels |
+/- |
Modified files (first 100) |
📝 |
💬 |
All users who commented or reviewed |
Assignee(s) |
Updated |
Last status change |
total time in review |
| 10721 |
urkud author:urkud |
feat(Order/FunLike): define `PointwiseLE` |
- introduce a mixin class `DFunLike.PointwiseLE`, use it to define `DFunLike.instPartialOrder`;
- add a generic `DFunLike.orderEmbeddingCoe`
- add `DFunLike.PointwiseLE` instances here and there.
With this refactor and #13022, I'm going to generalize lemmas like `MeasureTheory.ae_mono` to `OuterMeasureClass`.
---
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- [x] depends on: #12983
[](https://gitpod.io/from-referrer/) |
merge-conflict
t-order
t-logic
|
123/50 |
Mathlib.lean,Mathlib/Algebra/Order/Hom/Ring.lean,Mathlib/Data/DFinsupp/Order.lean,Mathlib/Data/Finsupp/Order.lean,Mathlib/Data/FunLike/Basic.lean,Mathlib/Dynamics/Circle/RotationNumber/TranslationNumber.lean,Mathlib/GroupTheory/Congruence.lean,Mathlib/Order/FunLike.lean,Mathlib/Order/Heyting/Hom.lean,Mathlib/Order/Hom/Basic.lean,Mathlib/Order/Hom/Bounded.lean,Mathlib/Order/Hom/CompleteLattice.lean,Mathlib/Topology/Order/Hom/Basic.lean |
13 |
48 |
['YaelDillies', 'dupuisf', 'leanprover-community-mathlib4-bot', 'urkud'] |
nobody |
687-8178 1 year ago |
736-72980 736 days ago |
64-12984 64 days |
| 8788 |
FMLJohn author:FMLJohn |
feat(Algebra/Module/GradeZeroModule): if `A` is a graded semiring and `M` is a graded `A`-module, then each grade of `M` is a module over the 0-th grade of `A`. |
---
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- [ ] depends on: #8187
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebra
label:t-algebra$ |
237/4 |
Mathlib.lean,Mathlib/Algebra/DirectSum/Internal.lean,Mathlib/Algebra/GradedMonoid.lean,Mathlib/Algebra/Module/GradeZeroModule.lean,Mathlib/RingTheory/GradedAlgebra/Basic.lean,Mathlib/RingTheory/GradedAlgebra/Noetherian.lean |
6 |
4 |
['FMLJohn', 'github-actions', 'leanprover-community-mathlib4-bot'] |
nobody |
687-8177 1 year ago |
926-84473 926 days ago |
1-57831 1 day |
| 6777 |
adomani author:adomani |
chore(Co*variantClass): replace eta-expanded (· * ·), (· + ·), (· ≤ ·), (· < ·) |
Replace `CovariantClass X X (· * ·) (· ≤ ·)` with -> `CovariantClass X X HMul.hMul LE.le` and similarly for `HAdd`, `LT`, `Contravariant`.
This PR is inspired by [Issue #6646](https://github.com/leanprover-community/mathlib4/issues/6646) and, more specifically, [this comment](https://github.com/leanprover-community/mathlib4/issues/6646#issuecomment-1692792066).
Note that https://github.com/leanprover/lean4/pull/2267 would make this unnecessary
---
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```bash
# First sed command:
# the first captured pattern is `Co*variantClass <type> <type> `
# the second captured pattern is `<type>`
# the third captured pattern is `+` or `*`
# the fourth captured pattern is `<` or `≤`
# a match for `Co*variantClass <type> <type> (· <op> ·) (· <rel> ·)` becomes
# `Co*variantClass <type> <type> replaceop<op> replaceop<rel>`
# Second sed command: similar to the first, but looks for `(Function.swap (· <op> ·))`
sed -i '
s=\(Co[ntra]*variantClass \(..*\) \2 \)(· *\([+*]\) *·) (· *\([<≤]\) *·)=\1replaceop\3 replaceop\4=g
s=\(Co[ntra]*variantClass \(..*\) \2 \)(\([Functio\.swap ]*\)(· *\([+*]\) *·)) (· *\([<≤]\) *·)=\1(\3replaceop\4) replaceop\5=g
s=replaceop+=HAdd.hAdd=g
s=replaceop\*=HMul.hMul=g
s=replaceop<=LT.lt=g
s=replaceop≤=LE.le=g
s=\(Co[ntra]*variantClass N N\) (· \* ·) r=\1 HMul.hMul r=g
s=\(Co[ntra]*variantClass N N (swap μ)\) (· ≤ ·)=\1 LE.le=g
s=\(Co[ntra]*variantClass N N\) (swap (· \* ·)) r=\1 (swap HMul.hMul) r=g
s=\(CovariantClass (Filter α) (Filter α)\) (· / ·) (· ≤ ·)=\1 HDiv.hDiv LE.le=g
s=\(CovariantClass (Filter α) (Filter α)\) (swap (· / ·)) (· ≤ ·)=\1 (swap HDiv.hDiv) LE.le=g
s=\(Co[ntra]*variantClass .* (fun x y .> . \* .)\) (· ≤ ·)=\1 LE.le=g
s=\(Co[ntra]*variantClass .* (fun x y .> . \* .)\) (· < ·)=\1 LT.lt=g
s=\(Co[ntra]*variantClass [^}]*\) (· ≤ ·)=\1 LE.le=g
s=\(CovariantClass .* (Filter β)\) (· • ·) LE.le=\1 HSMul.hSMul LE.le=g
' $(git ls-files '*.lean')
```
[](https://gitpod.io/from-referrer/)
|
merge-conflict |
703/678 |
Counterexamples/ZeroDivisorsInAddMonoidAlgebras.lean,Mathlib/Algebra/BigOperators/Basic.lean,Mathlib/Algebra/Bounds.lean,Mathlib/Algebra/CovariantAndContravariant.lean,Mathlib/Algebra/DirectSum/Internal.lean,Mathlib/Algebra/Group/UniqueProds.lean,Mathlib/Algebra/GroupPower/Order.lean,Mathlib/Algebra/MonoidAlgebra/Degree.lean,Mathlib/Algebra/Order/Archimedean.lean,Mathlib/Algebra/Order/Group/Abs.lean,Mathlib/Algebra/Order/Group/Defs.lean,Mathlib/Algebra/Order/Group/DenselyOrdered.lean,Mathlib/Algebra/Order/Group/MinMax.lean,Mathlib/Algebra/Order/Group/OrderIso.lean,Mathlib/Algebra/Order/Hom/Monoid.lean,Mathlib/Algebra/Order/Interval.lean,Mathlib/Algebra/Order/Kleene.lean,Mathlib/Algebra/Order/LatticeGroup.lean,Mathlib/Algebra/Order/Module.lean,Mathlib/Algebra/Order/Monoid/Basic.lean,Mathlib/Algebra/Order/Monoid/Cancel/Defs.lean,Mathlib/Algebra/Order/Monoid/Canonical/Defs.lean,Mathlib/Algebra/Order/Monoid/Defs.lean,Mathlib/Algebra/Order/Monoid/Lemmas.lean,Mathlib/Algebra/Order/Monoid/MinMax.lean,Mathlib/Algebra/Order/Monoid/NatCast.lean,Mathlib/Algebra/Order/Monoid/OrderDual.lean,Mathlib/Algebra/Order/Monoid/Prod.lean,Mathlib/Algebra/Order/Monoid/WithTop.lean,Mathlib/Algebra/Order/Monoid/WithZero/Basic.lean,Mathlib/Algebra/Order/Monoid/WithZero/Defs.lean,Mathlib/Algebra/Order/Nonneg/Ring.lean,Mathlib/Algebra/Order/Pointwise.lean,Mathlib/Algebra/Order/Positive/Ring.lean,Mathlib/Algebra/Order/Ring/Canonical.lean,Mathlib/Algebra/Order/Ring/Defs.lean,Mathlib/Algebra/Order/Ring/Lemmas.lean,Mathlib/Algebra/Order/Sub/Basic.lean,Mathlib/Algebra/Order/Sub/Canonical.lean,Mathlib/Algebra/Order/Sub/Defs.lean,Mathlib/Algebra/Order/WithZero.lean,Mathlib/Algebra/Parity.lean,Mathlib/Algebra/Star/Order.lean,Mathlib/Algebra/Tropical/Basic.lean,Mathlib/Analysis/Normed/Order/Lattice.lean,Mathlib/Data/DFinsupp/Lex.lean,Mathlib/Data/DFinsupp/Order.lean,Mathlib/Data/Finset/Fold.lean,Mathlib/Data/Finsupp/Lex.lean,Mathlib/Data/Finsupp/Order.lean,Mathlib/Data/List/BigOperators/Basic.lean,Mathlib/Data/List/BigOperators/Lemmas.lean,Mathlib/Data/Multiset/Basic.lean,Mathlib/Data/Nat/Cast/Order.lean,Mathlib/Data/PNat/Basic.lean,Mathlib/Data/Real/ENNReal.lean,Mathlib/Data/Real/NNReal.lean,Mathlib/Data/Set/Semiring.lean,Mathlib/Data/Sign.lean,Mathlib/MeasureTheory/Function/LpOrder.lean,Mathlib/MeasureTheory/Function/SimpleFuncDenseLp.lean,Mathlib/MeasureTheory/Measure/MeasureSpace.lean,Mathlib/MeasureTheory/Measure/VectorMeasure.lean,Mathlib/Order/ConditionallyCompleteLattice/Group.lean,Mathlib/Order/Filter/Basic.lean,Mathlib/Order/Filter/Pointwise.lean,Mathlib/Probability/Martingale/Basic.lean,Mathlib/Probability/Process/Stopping.lean,Mathlib/RingTheory/GradedAlgebra/Basic.lean,Mathlib/SetTheory/Cardinal/Basic.lean,Mathlib/SetTheory/Game/Basic.lean,Mathlib/SetTheory/Game/PGame.lean,Mathlib/SetTheory/Ordinal/Arithmetic.lean,Mathlib/SetTheory/Ordinal/Basic.lean,Mathlib/SetTheory/Ordinal/NaturalOps.lean,Mathlib/Tactic/GCongr/Core.lean,Mathlib/Tactic/Positivity/Basic.lean,Mathlib/Topology/ContinuousFunction/Algebra.lean,lean-toolchain,test/Recall.lean,test/propose.lean |
81 |
37 |
['adomani', 'alreadydone', 'digama0', 'eric-wieser', 'ericrbg', 'jcommelin', 'leanprover-bot', 'sgouezel', 'vihdzp'] |
nobody |
687-8176 1 year ago |
961-60073 961 days ago |
35-63136 35 days |
| 7875 |
astrainfinita author:astrainfinita |
chore: make `SMulCommClass A A B` and `SMulCommClass A B B` higher priority |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
slow-typeclass-synthesis
t-algebra
label:t-algebra$ |
54/48 |
Mathlib/Algebra/Algebra/Basic.lean,Mathlib/Algebra/Algebra/NonUnitalSubalgebra.lean,Mathlib/Algebra/DirectSum/Algebra.lean,Mathlib/Algebra/Group/Action/Defs.lean,Mathlib/Algebra/Group/Subgroup/Actions.lean,Mathlib/Algebra/Lie/NonUnitalNonAssocAlgebra.lean,Mathlib/Algebra/Module/LinearMap/End.lean,Mathlib/Algebra/MonoidAlgebra/Basic.lean,Mathlib/Algebra/MvPolynomial/Basic.lean,Mathlib/Algebra/Ring/CentroidHom.lean,Mathlib/Algebra/Ring/Subring/Basic.lean,Mathlib/Algebra/Ring/Subsemiring/Basic.lean,Mathlib/Algebra/Star/NonUnitalSubalgebra.lean,Mathlib/Analysis/Complex/UnitDisc/Basic.lean,Mathlib/Analysis/NormedSpace/lpSpace.lean,Mathlib/Data/Matrix/Basic.lean,Mathlib/GroupTheory/GroupAction/Prod.lean,Mathlib/GroupTheory/GroupAction/Ring.lean,Mathlib/GroupTheory/GroupAction/SubMulAction.lean,Mathlib/GroupTheory/MonoidLocalization.lean,Mathlib/GroupTheory/Submonoid/Center.lean,Mathlib/LinearAlgebra/PiTensorProduct.lean,Mathlib/RingTheory/Ideal/Quotient.lean,Mathlib/RingTheory/TensorProduct/Basic.lean,Mathlib/Topology/ContinuousFunction/ContinuousMapZero.lean,Mathlib/Topology/ContinuousFunction/StoneWeierstrass.lean,Mathlib/Topology/ContinuousFunction/ZeroAtInfty.lean |
27 |
15 |
['Parcly-Taxel', 'astrainfinita', 'jcommelin', 'leanprover-bot'] |
nobody |
687-8176 1 year ago |
741-24684 741 days ago |
1-47913 1 day |
| 6491 |
eric-wieser author:eric-wieser |
chore(Mathlib/Algebra/Hom/GroupAction): add `SMulHomClass.comp_smul` |
---
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-->
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebra
label:t-algebra$ |
24/10 |
Mathlib/Algebra/Hom/GroupAction.lean |
1 |
0 |
[] |
nobody |
687-8175 1 year ago |
958-80575 958 days ago |
83-76369 83 days |
| 10629 |
madvorak author:madvorak |
feat: List.cons_sublist_append_iff_right |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-data
|
11/0 |
Mathlib/Data/List/Basic.lean |
1 |
1 |
['eric-wieser'] |
nobody |
673-1720 1 year ago |
799-10557 799 days ago |
53-73442 53 days |
| 13791 |
digama0 author:digama0 |
refactor: Primrec and Partrec |
General cleanup of the `Primrec` and `Partrec` files, to better adjust to lean 4 things. The main user-visible change is that `Primrec₂` is no longer a `def` but an `abbrev`, because it was causing inference issues in lean 4. I also removed all the nonterminal `simp`s in `PartrecCode.lean`.
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-computability
tech debt
|
585/778 |
Mathlib/Computability/Ackermann.lean,Mathlib/Computability/Halting.lean,Mathlib/Computability/Partrec.lean,Mathlib/Computability/PartrecCode.lean,Mathlib/Computability/Primrec.lean |
5 |
2 |
['github-actions', 'grunweg'] |
nobody |
668-50965 1 year ago |
732-40551 732 days ago |
1-84718 1 day |
| 11964 |
adamtopaz author:adamtopaz |
feat: The functor of points of a scheme |
We construct the functor of points functor, and prove that it's full and faithful.
---
- [x] depends on: #11947
<!-- The text above the `---` will become the commit message when your
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebraic-geometry
t-category-theory
|
210/0 |
Mathlib.lean,Mathlib/AlgebraicGeometry/FunctorOfPoints.lean,Mathlib/AlgebraicGeometry/OpenImmersion.lean |
3 |
4 |
['github-actions', 'grunweg'] |
nobody |
668-50824 1 year ago |
796-67765 796 days ago |
0-1223 20 minutes |
| 12418 |
rosborn author:rosborn |
style: replace preimage_val with ↓∩ notation |
---
This is a rough draft of what the new `↓∩` notation would look like within mathlib. I believe this is an improvement in clarity and would like to have `↓∩` as a standard notation (along with `''`, `⁻¹'`, `↑`, etc...). As `↓∩` is specialized for `Set`s, I have only changed `preimage_val` when the left-hand side of `↓∩` is a `Set`.
The introduction of the `↓∩` notation to Data.Set.Image is temporary as it isn't possible to import Data.Set.Subset directly. If we want `↓∩` unscoped, where would be the best place to define it? An option is Data.Set.Defs, but the notation cannot be defined without additional imports as the file does not import `notation3`.
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[](https://gitpod.io/from-referrer/)
|
merge-conflict |
56/61 |
Mathlib/Analysis/InnerProductSpace/Projection.lean,Mathlib/Data/Set/Function.lean,Mathlib/Data/Set/Image.lean,Mathlib/Data/Set/Subset.lean,Mathlib/MeasureTheory/Constructions/Polish.lean,Mathlib/MeasureTheory/MeasurableSpace/Basic.lean,Mathlib/MeasureTheory/Measure/Restrict.lean,Mathlib/Order/UpperLower/Basic.lean,Mathlib/Topology/Bases.lean,Mathlib/Topology/Clopen.lean,Mathlib/Topology/Connected/Basic.lean,Mathlib/Topology/Connected/PathConnected.lean,Mathlib/Topology/Constructions.lean,Mathlib/Topology/ContinuousOn.lean,Mathlib/Topology/LocalAtTarget.lean,Mathlib/Topology/LocallyConstant/Basic.lean,Mathlib/Topology/Separation.lean,Mathlib/Topology/Sober.lean |
18 |
3 |
['grunweg', 'rosborn'] |
nobody |
668-50723 1 year ago |
754-60707 754 days ago |
29-50022 29 days |
| 12751 |
Command-Master author:Command-Master |
feat: add lemmas for Nat/Bits, Nat/Bitwise and Nat/Size |
Remove `@[simp]` from `Nat.bit_false` and `Nat.bit_true`, as `bit0` and `bit1` are deprecated, and add some lemmas to `Bits`, `Bitwise` and `Size`.
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-data
new-contributor
|
66/7 |
Mathlib/Data/Nat/Bits.lean,Mathlib/Data/Nat/Bitwise.lean,Mathlib/Data/Nat/Multiplicity.lean,Mathlib/Data/Nat/Size.lean |
4 |
26 |
['Command-Master', 'Rida-Hamadani', 'Ruben-VandeVelde', 'YaelDillies', 'github-actions', 'jcommelin'] |
nobody |
667-71877 1 year ago |
702-78099 702 days ago |
56-40668 56 days |
| 10350 |
Shamrock-Frost author:Shamrock-Frost |
feat(Data/Setoid): add the operations of taking the equivalence class of an element and of saturating a set wrt an equivalence relation |
I'm open to suggestions about changing the name "saturate", someone on zulip rightly pointed out this is a very overloaded term in math. That said, I think it's unlikely to cause confusion and that there's only one reasonable interpretation in the context of setoids.
---
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|
merge-conflict
t-data
|
169/3 |
Mathlib/Data/Setoid/Basic.lean,Mathlib/Data/Setoid/Partition.lean,Mathlib/Order/Closure.lean |
3 |
1 |
['leanprover-community-mathlib4-bot'] |
nobody |
665-74151 1 year ago |
784-65779 784 days ago |
19-74546 19 days |
| 17127 |
FR-vdash-bot author:FR-vdash-bot |
chore: remove global `Quotient.mk` `⟦·⟧` notation |
---
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Merge this PR when we are ready to migrate to `QuotLike` API (#16421).
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-data
|
137/2 |
Counterexamples/Pseudoelement.lean,Mathlib/Algebra/Associated/Basic.lean,Mathlib/Algebra/BigOperators/Group/Finset.lean,Mathlib/Algebra/Group/Conj.lean,Mathlib/Algebra/GroupWithZero/NonZeroDivisors.lean,Mathlib/Algebra/Order/CauSeq/Completion.lean,Mathlib/Algebra/Quandle.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Jacobian.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Projective.lean,Mathlib/AlgebraicTopology/FundamentalGroupoid/Basic.lean,Mathlib/AlgebraicTopology/FundamentalGroupoid/FundamentalGroup.lean,Mathlib/AlgebraicTopology/FundamentalGroupoid/InducedMaps.lean,Mathlib/AlgebraicTopology/FundamentalGroupoid/Product.lean,Mathlib/AlgebraicTopology/FundamentalGroupoid/SimplyConnected.lean,Mathlib/CategoryTheory/Abelian/Pseudoelements.lean,Mathlib/CategoryTheory/Limits/Shapes/SingleObj.lean,Mathlib/CategoryTheory/Monoidal/Free/Basic.lean,Mathlib/CategoryTheory/Monoidal/Free/Coherence.lean,Mathlib/CategoryTheory/Skeletal.lean,Mathlib/Data/Finset/Card.lean,Mathlib/Data/Fintype/List.lean,Mathlib/Data/Fintype/Quotient.lean,Mathlib/Data/Multiset/Basic.lean,Mathlib/Data/QPF/Multivariate/Constructions/Fix.lean,Mathlib/Data/QPF/Univariate/Basic.lean,Mathlib/Data/Quot.lean,Mathlib/Data/Real/Basic.lean,Mathlib/Data/Set/Finite.lean,Mathlib/Data/Set/Image.lean,Mathlib/Data/Setoid/Basic.lean,Mathlib/GroupTheory/GroupAction/Basic.lean,Mathlib/GroupTheory/GroupAction/Quotient.lean,Mathlib/LinearAlgebra/Dual.lean,Mathlib/LinearAlgebra/Ray.lean,Mathlib/Logic/Encodable/Basic.lean,Mathlib/Logic/Equiv/Basic.lean,Mathlib/ModelTheory/DirectLimit.lean,Mathlib/ModelTheory/Fraisse.lean,Mathlib/ModelTheory/Quotients.lean,Mathlib/NumberTheory/NumberField/CanonicalEmbedding/FundamentalCone.lean,Mathlib/NumberTheory/NumberField/Embeddings.lean,Mathlib/NumberTheory/NumberField/Units/DirichletTheorem.lean,Mathlib/NumberTheory/Padics/PadicIntegers.lean,Mathlib/NumberTheory/Padics/PadicNumbers.lean,Mathlib/Order/RelIso/Basic.lean,Mathlib/RepresentationTheory/Action/Concrete.lean,Mathlib/SetTheory/Cardinal/Basic.lean,Mathlib/SetTheory/Cardinal/Ordinal.lean,Mathlib/SetTheory/Game/Basic.lean,Mathlib/SetTheory/Game/Birthday.lean,Mathlib/SetTheory/Game/Impartial.lean,Mathlib/SetTheory/Game/Ordinal.lean,Mathlib/SetTheory/Game/State.lean,Mathlib/SetTheory/Lists.lean,Mathlib/SetTheory/Ordinal/Arithmetic.lean,Mathlib/SetTheory/Ordinal/Basic.lean,Mathlib/SetTheory/Surreal/Basic.lean,Mathlib/SetTheory/Surreal/Dyadic.lean,Mathlib/SetTheory/Surreal/Multiplication.lean,Mathlib/SetTheory/ZFC/Basic.lean,Mathlib/SetTheory/ZFC/Rank.lean,Mathlib/Topology/Connected/PathConnected.lean,Mathlib/Topology/Homotopy/HomotopyGroup.lean,Mathlib/Topology/Homotopy/Path.lean,Mathlib/Topology/Homotopy/Product.lean,Mathlib/Topology/MetricSpace/GromovHausdorff.lean,Mathlib/Topology/UniformSpace/Separation.lean,test/interactiveUnfold.lean |
68 |
1 |
['github-actions'] |
nobody |
626-22816 1 year ago |
626-22816 626 days ago |
4-72805 4 days |
| 13156 |
erdOne author:erdOne |
refactor(Algebra/Module/LocalizedModule): Redefine `LocalizedModule` in terms of `OreLocalization`. |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebra
label:t-algebra$ |
519/628 |
Mathlib.lean,Mathlib/Algebra/Module/LocalizedModule.lean,Mathlib/AlgebraicGeometry/Modules/Tilde.lean,Mathlib/RingTheory/DedekindDomain/Different.lean,Mathlib/RingTheory/Localization/BaseChange.lean,Mathlib/RingTheory/OreLocalization/Basic.lean,Mathlib/RingTheory/OreLocalization/Module.lean,Mathlib/RingTheory/OreLocalization/Ring.lean |
8 |
4 |
['github-actions', 'leanprover-bot', 'leanprover-community-mathlib4-bot', 'mattrobball'] |
nobody |
611-75098 1 year ago |
611-75098 611 days ago |
51-84473 51 days |
| 14598 |
Command-Master author:Command-Master |
chore: add typeclasses to unify various `add_top`, `add_eq_top`, etc. |
Add the four typeclasses `IsTopAbsorbing`, `IsBotAbsorbing`, `NoTopSum`, `NoBotSum`, as additive equivalents for `MulZeroClass` and `NoZeroDivisors`. Add instances of these for `ENNReal`, `WithTop α`, `WithBot α`, `PUnit`, `EReal`, `PartENat`, `Measure`, `Interval` and `Filter`.
Also split `Algebra/Order/AddGroupWithTop` to `Algebra/Order/Group/WithTop` and `Algebra/Order/Monoid/WithTop`
---
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Previous usages of lemmas with quantified names like `WithTop.add_top` have to be changed to just `add_top`.
`add_lt_top` is `@[simp]`, in accordance with `ENNReal.add_lt_top` being `@[simp]`. This affects `WithTop.add_lt_top` which previously hadn't been `@[simp]`.
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebra
t-order
new-contributor
label:t-algebra$ |
264/195 |
Archive/Wiedijk100Theorems/BallotProblem.lean,Mathlib.lean,Mathlib/Algebra/Order/Group/WithTop.lean,Mathlib/Algebra/Order/GroupWithZero/Canonical.lean,Mathlib/Algebra/Order/Interval/Basic.lean,Mathlib/Algebra/Order/Monoid/Unbundled/Basic.lean,Mathlib/Algebra/Order/Monoid/Unbundled/Defs.lean,Mathlib/Algebra/Order/Monoid/Unbundled/WithTop.lean,Mathlib/Algebra/Order/Monoid/WithTop.lean,Mathlib/Algebra/PUnitInstances/Order.lean,Mathlib/Algebra/Polynomial/Degree/Definitions.lean,Mathlib/Algebra/Polynomial/Monic.lean,Mathlib/Algebra/Tropical/Basic.lean,Mathlib/Analysis/Analytic/Meromorphic.lean,Mathlib/Analysis/Normed/Lp/ProdLp.lean,Mathlib/Analysis/NormedSpace/ENorm.lean,Mathlib/Analysis/SpecialFunctions/JapaneseBracket.lean,Mathlib/Analysis/SpecialFunctions/Log/ENNRealLog.lean,Mathlib/Data/ENNReal/Operations.lean,Mathlib/Data/ENat/Basic.lean,Mathlib/Data/Nat/PartENat.lean,Mathlib/Data/Nat/WithBot.lean,Mathlib/Data/Real/EReal.lean,Mathlib/LinearAlgebra/Lagrange.lean,Mathlib/MeasureTheory/Covering/Differentiation.lean,Mathlib/MeasureTheory/Decomposition/Lebesgue.lean,Mathlib/MeasureTheory/Function/ConditionalExpectation/CondexpL1.lean,Mathlib/MeasureTheory/Function/Jacobian.lean,Mathlib/MeasureTheory/Function/L1Space.lean,Mathlib/MeasureTheory/Function/L2Space.lean,Mathlib/MeasureTheory/Function/LpSeminorm/Basic.lean,Mathlib/MeasureTheory/Function/LpSeminorm/TriangleInequality.lean,Mathlib/MeasureTheory/Function/LpSpace.lean,Mathlib/MeasureTheory/Function/StronglyMeasurable/Basic.lean,Mathlib/MeasureTheory/Function/UniformIntegrable.lean,Mathlib/MeasureTheory/Integral/Bochner.lean,Mathlib/MeasureTheory/Integral/MeanInequalities.lean,Mathlib/MeasureTheory/Integral/SetIntegral.lean,Mathlib/MeasureTheory/Integral/VitaliCaratheodory.lean,Mathlib/MeasureTheory/Measure/Hausdorff.lean,Mathlib/MeasureTheory/Measure/Lebesgue/Basic.lean,Mathlib/MeasureTheory/Measure/LevyProkhorovMetric.lean,Mathlib/MeasureTheory/Measure/MeasureSpace.lean,Mathlib/MeasureTheory/Measure/MeasureSpaceDef.lean,Mathlib/MeasureTheory/Measure/Regular.lean,Mathlib/MeasureTheory/Measure/Typeclasses.lean,Mathlib/NumberTheory/Padics/PadicNumbers.lean,Mathlib/Order/Filter/Pointwise.lean,Mathlib/Probability/Kernel/Defs.lean,Mathlib/Probability/Martingale/Convergence.lean,Mathlib/RingTheory/Multiplicity.lean,Mathlib/RingTheory/MvPowerSeries/NoZeroDivisors.lean,Mathlib/RingTheory/UniqueFactorizationDomain.lean,Mathlib/Topology/EMetricSpace/Defs.lean,Mathlib/Topology/MetricSpace/Bounded.lean,Mathlib/Topology/MetricSpace/HausdorffDistance.lean,Mathlib/Topology/MetricSpace/Lipschitz.lean |
57 |
30 |
['Command-Master', 'YaelDillies', 'github-actions'] |
nobody |
589-18282 1 year ago |
589-18282 589 days ago |
7-45599 7 days |
| 19212 |
Julian author:Julian |
feat(LinearAlgebra): add a variable_alias for VectorSpace |
Taken directly from the variable_alias docs.
Zulip: https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/why.20.5Bvariable_alias.5D.20attribute.20is.20not.20used.20in.20Mathlib.3F
---
This is the first actual variable alias added to mathlib. I haven't reviewed variable_alias fully, but it seems like there's at least 3 ways they could be distributed in Mathlib:
* alongside whatever subfolder they "belong to" (which is what I've tentatively done here)
* In a file called `Aliases` somewhere near the thing they alias (which seems less discoverable to me)
* In a single file, a la `Mathlib.TrainingWheels` (with some less playful name) which is meant to define a bunch of more "friendly" aliases all in one place.
I kind of like the idea of the third thing as a future module but perhaps it can be synthesized if/when there are more aliases? For now as I say I've done the first one, but please let me know if someone prefers something else.
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebra
label:t-algebra$ |
25/0 |
Mathlib.lean,Mathlib/LinearAlgebra/VectorSpace.lean,scripts/noshake.json |
3 |
10 |
['Julian', 'PieterCuijpers', 'github-actions', 'urkud'] |
nobody |
568-81437 1 year ago |
568-81437 568 days ago |
7-68089 7 days |
| 19337 |
zeramorphic author:zeramorphic |
feat(Data/Finsupp): generalise `Finsupp` to any "zero" value |
Remove the explicit dependence of `Finsupp` on `[Zero M]`, instead defining `Finsupp'` (better name pending) to be functions that are equal to a fixed value `z : M` cofinitely often.
This PR is intended to do the initial work of replacing the definition of `Finsupp` with an instantiation of the more general definition, without adding any appropriate API. If accepted, the API development will follow in later PRs.
Issues to consider:
- Naming of `Finsupp'.`
- Where should `Finsupp'` lemmas go? Do they need their own file/folder under `Data/`?
Relevant Zulip threads:
- https://leanprover.zulipchat.com/#narrow/channel/217875-Is-there-code-for-X.3F/topic/Finsupp.20generalisations
- https://leanprover.zulipchat.com/#narrow/channel/217875-Is-there-code-for-X.3F/topic/Finsupp-like.20partial.20function
Comments are welcome.
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-data
|
203/83 |
Archive/Wiedijk100Theorems/Partition.lean,Mathlib/Algebra/MvPolynomial/Basic.lean,Mathlib/Algebra/MvPolynomial/Rename.lean,Mathlib/Algebra/MvPolynomial/Variables.lean,Mathlib/Algebra/Polynomial/Basic.lean,Mathlib/Algebra/Polynomial/Laurent.lean,Mathlib/Data/Finsupp/BigOperators.lean,Mathlib/Data/Finsupp/Defs.lean,Mathlib/Data/Finsupp/Order.lean,Mathlib/Data/Nat/Choose/Multinomial.lean,Mathlib/RingTheory/MvPolynomial/Symmetric/Defs.lean,Mathlib/RingTheory/PowerBasis.lean,scripts/nolints_prime_decls.txt |
13 |
5 |
['github-actions', 'vihdzp', 'zeramorphic'] |
nobody |
566-57514 1 year ago |
566-57514 566 days ago |
4-60621 4 days |
| 18756 |
astrainfinita author:astrainfinita |
refactor: deprecate `DistribMulActionSemiHomClass` `MulSemiringActionSemiHomClass` |
---
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merge-conflict
t-algebra
label:t-algebra$ |
50/28 |
Mathlib/Algebra/Algebra/NonUnitalHom.lean,Mathlib/Algebra/Module/LinearMap/Defs.lean,Mathlib/GroupTheory/GroupAction/Hom.lean |
3 |
4 |
['astrainfinita', 'github-actions', 'leanprover-bot'] |
nobody |
555-23183 1 year ago |
555-23183 555 days ago |
31-53021 31 days |
| 16120 |
awainverse author:awainverse |
feat(ModelTheory/Algebra/Ring/Basic): Ring homomorphisms are a `StrongHomClass` for the language of rings |
Adds an `IsAlgebraic` instance to the language of rings
Adds a `StrongHomClass` instance to the type of ring homomorphisms between rings with `CompatibleRing` structures
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebra
RFC
t-logic
label:t-algebra$ |
34/13 |
Mathlib/ModelTheory/Algebra/Ring/Basic.lean |
1 |
10 |
['ChrisHughes24', 'YaelDillies', 'awainverse', 'github-actions', 'jcommelin'] |
nobody |
527-39357 1 year ago |
527-39357 527 days ago |
135-29017 135 days |
| 20527 |
trivial1711 author:trivial1711 |
refactor(Topology/UniformSpace/Completion): more descriptive names for `α → Completion α` |
- We rename the various maps `α → Completion α` in order to make their names more consistent.
- Let `α` be a uniform space. We rename the uniformly continuous function `α → Completion α` from `UniformSpace.Completion.coe'` to `UniformSpace.Completion.coe`.
- Let `α` be a uniform additive group. We rename the additive group homomorphism `α →+ Completion α` from `UniformSpace.Completion.toCompl` to `UniformSpace.Completion.coeAddHom`.
- Let `α` be a uniform ring. The ring homomorphism `α →+* Completion α` is called `UniformSpace.Completion.coeRingHom`; its name is unchanged.
- Let `α` be a normed space over a field `𝕜`. We rename the linear isometry `α →ₗᵢ[𝕜] Completion α` from `UniformSpace.Completion.toComplₗᵢ` to `UniformSpace.Completion.coeₗᵢ`.
- Let `α` be a normed space over a field `𝕜`. We rename the continuous linear map `α →L[𝕜] Completion α` from `UniformSpace.Completion.toComplL` to `UniformSpace.Completion.coeL`.
- Let `α` be a normed additive group. We rename the norm preserving homomorphism `NormedAddGroupHom α (Completion α)` from `NormedAddCommGroup.toCompl` to `UniformSpace.Completion.coeNormedAddGroupHom`.
- We analogously rename some other theorems.
- We add some trivial theorems (all of which are proved by `rfl`) that state that the functions considered above are equal. We give all of them the `simp` and `norm_cast` attributes.
- We add a new theorem `UniformSpace.Completion.coeAddHom_eq_coe` that states that `UniformSpace.Completion.coeAddHom` and `UniformSpace.Completion.coe` are equal as functions.
- We similarly add a new theorem `UniformSpace.Completion.coeRingHom_eq_coe`.
- We rename the theorem `UniformSpace.Completion.coe_toComplₗᵢ` to `UniformSpace.Completion.coeₗᵢ_eq_coe`.
- We rename the theorem `UniformSpace.Completion.coe_toComplL` to `UniformSpace.Completion.coeL_eq_coe`.
- We similarly add a new theorem `UniformSpace.Completion.coeNormedAddGroupHom_eq_coe`.
- We change all occurrences of the string `((↑) : α → Completion α)` to `(coe : α → Completion α)` or just `coe`.
- We put the statements of some theorems into simp normal form by using the plain function `coe` rather than the homomorphisms that carry more structure.
---
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|
merge-conflict
t-topology
|
130/92 |
Mathlib/Analysis/Analytic/Uniqueness.lean,Mathlib/Analysis/Calculus/FDeriv/Analytic.lean,Mathlib/Analysis/Complex/AbsMax.lean,Mathlib/Analysis/Complex/Liouville.lean,Mathlib/Analysis/InnerProductSpace/Completion.lean,Mathlib/Analysis/Normed/Group/HomCompletion.lean,Mathlib/Analysis/Normed/Module/Completion.lean,Mathlib/Analysis/SpecialFunctions/NonIntegrable.lean,Mathlib/MeasureTheory/Integral/IntegralEqImproper.lean,Mathlib/Topology/Algebra/GroupCompletion.lean,Mathlib/Topology/Algebra/InfiniteSum/GroupCompletion.lean,Mathlib/Topology/Algebra/InfiniteSum/Nonarchimedean.lean,Mathlib/Topology/Algebra/Nonarchimedean/Completion.lean,Mathlib/Topology/Algebra/UniformRing.lean,Mathlib/Topology/Category/UniformSpace.lean,Mathlib/Topology/MetricSpace/Completion.lean,Mathlib/Topology/UniformSpace/Completion.lean |
17 |
4 |
['eric-wieser', 'github-actions', 'trivial1711'] |
nobody |
520-70389 1 year ago |
520-70389 520 days ago |
6-66637 6 days |
| 18474 |
FR-vdash-bot author:FR-vdash-bot |
perf: lower the priority of `*WithOne.to*` instances |
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From #7873.
[](https://gitpod.io/from-referrer/)
|
merge-conflict
slow-typeclass-synthesis
t-algebra
t-data
label:t-algebra$ |
9/2 |
Mathlib/Algebra/Polynomial/BigOperators.lean,Mathlib/Data/Int/Cast/Defs.lean,Mathlib/Data/Nat/Cast/Defs.lean |
3 |
7 |
['astrainfinita', 'eric-wieser', 'github-actions', 'leanprover-bot'] |
nobody |
518-57419 1 year ago |
518-57419 518 days ago |
76-66907 76 days |
| 20372 |
jvlmdr author:jvlmdr |
feat(MeasureTheory/Function): Add ContinuousLinearMap.bilinearCompLp(L) |
Introduce ContinuousLinearMap.bilinearCompLp and bilinearCompLpL.
Generalize eLpNorm_le_eLpNorm_mul_eLpNorm theorems to include constant C in bound condition.
---
Expect this may be useful for defining tempered distributions from functions in `L^p`.
The definitions more or less follow `ContinuousLinearMap.compLp...`. Names are loosely analogous to `ContinuousLinearMap.bilinearComp` and `SchwartzMap.bilinLeftCLM`.
Note: I preferred the spelling `hpqr : p⁻¹ + q⁻¹ = r⁻¹` with `f` in `L^p` and `g` in `L^q` to `hpqr : 1 / p = 1 / q + 1 / r`. It's easier to obtain from `ENNReal.IsConjExponent` too.
A few questions:
- [ ] I defined `bilinear{Left,Right}LpL` in addition to `bilinearCompLpL` because `LinearMap.mkContinuous₂` is marked as `noncomputable` and `LinearMap.mkContinuous` is not. Is this worth the extra definitions? (Note: This is not visible in the source due to `noncomputable section`.)
- [ ] Should I use `C : ℝ` instead of `C : NNReal` for `eLpNorm_le_eLpNorm_mul_eLpNorm'_of_norm'`?
- [ ] Is it going to be painful to have `[Fact (1 ≤ p)] [Fact (1 ≤ q)] [Fact (1 ≤ r)]`? I don't think there's a way to avoid it though. Maybe providing specialized versions for `p.IsConjExponent q` with `L^1`?
Naming:
- [ ] Is it satisfactory to add a `'` to the `eLpNorm_le_eLpNorm_mul_eLpNorm ` definitions in `CompareExp.lean` where `≤ ‖f x‖ * ‖g x‖` has been replaced with `≤ C * ‖f x‖ * ‖g x‖`? These could replace the existing theorems, although I don't want to break backwards compatibility. There are 5 instances: `eLpNorm_le_eLpNorm_top_mul_eLpNorm'`, `eLpNorm_le_eLpNorm_mul_eLpNorm_top'`, `eLpNorm'_le_eLpNorm'_mul_eLpNorm''`, `eLpNorm_le_eLpNorm_mul_eLpNorm_of_nnnorm'`, `eLpNorm_le_eLpNorm_mul_eLpNorm'_of_norm'` (I'm not sure why the existing theorem `eLpNorm_le_eLpNorm_mul_eLpNorm'_of_norm` has an internal `'`)
- [ ] Is `bilinearLeftLpL` a suitable name? Other options: `bilinearCompLpLeftL`, `bilinearCompLeftLpL`, `bilinLeftLpL` (analogous to `SchwartzMap.bilinLeftCLM`)
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|
merge-conflict
t-measure-probability
new-contributor
|
203/40 |
Mathlib/MeasureTheory/Function/LpSeminorm/CompareExp.lean,Mathlib/MeasureTheory/Function/LpSpace.lean |
2 |
1 |
['github-actions'] |
nobody |
505-81676 1 year ago |
505-81676 505 days ago |
27-43617 27 days |
| 21959 |
BGuillemet author:BGuillemet |
feat(Topology/ContinuousMap): Stone-Weierstrass theorem for MvPolynomial |
Add the subalgebra of multivariate polynomials and prove it separates points, on the same model as `ContinuousMap/Polynomial.lean`.
Prove the Stone-Weierstrass theorem and some variations for multivariate polynomials.
---
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|
merge-conflict
t-topology
new-contributor
|
285/1 |
Mathlib.lean,Mathlib/Topology/ContinuousMap/MvPolynomial.lean,Mathlib/Topology/ContinuousMap/StoneWeierstrass.lean |
3 |
1 |
['github-actions'] |
nobody |
469-67697 1 year ago |
469-67697 469 days ago |
16-76141 16 days |
| 18470 |
FR-vdash-bot author:FR-vdash-bot |
perf: lower the priority of `Normed*.to*` instances |
---
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From #7873.
[](https://gitpod.io/from-referrer/)
|
merge-conflict
slow-typeclass-synthesis
t-algebra
t-analysis
label:t-algebra$ |
28/0 |
Mathlib/Analysis/Normed/Field/Basic.lean,Mathlib/Analysis/Normed/Group/Basic.lean |
2 |
9 |
['astrainfinita', 'github-actions', 'jcommelin', 'leanprover-bot'] |
nobody |
465-39124 1 year ago |
465-39124 465 days ago |
129-16341 129 days |
| 8767 |
eric-wieser author:eric-wieser |
refactor(Cache): tidy lake-manifest parsing in Cache |
This now respects local copies of Mathlib dependencies (though in practice these invalidate the *online* cache because to point to local copies of Mathlib, the hash for `lakefile.lean` and `lake-manifest.json` is first invalidated).
---
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- [x] depends on: #11492
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-meta
|
49/49 |
Cache/Hashing.lean,Cache/IO.lean,lake-manifest.json |
3 |
8 |
['digama0', 'eric-wieser', 'github-actions', 'leanprover-community-mathlib4-bot'] |
nobody |
462-38856 1 year ago |
644-4806 644 days ago |
119-35643 119 days |
| 22660 |
Ruben-VandeVelde author:Ruben-VandeVelde |
chore: follow naming convention around Group.IsNilpotent |
---
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|
merge-conflict
t-algebra
label:t-algebra$ |
133/67 |
Mathlib/GroupTheory/Frattini.lean,Mathlib/GroupTheory/Nilpotent.lean,Mathlib/GroupTheory/SpecificGroups/ZGroup.lean |
3 |
1 |
['github-actions'] |
nobody |
458-3552 1 year ago |
458-3552 458 days ago |
10-48025 10 days |
| 21488 |
imbrem author:imbrem |
feat(CategoryTheory/Monoidal): premonoidal categories |
Add support for premonoidal categories
---
Still want to add support for:
- Premonoidal braided/symmetric categories
- The monoidal coherence theorem, which I've already ported in my `discretion` library
- The `coherence` tactic, which should work fine for premonoidal categories too
but wanted to get this in front of reviewers ASAP to make sure my general approach was alright
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|
merge-conflict
t-category-theory
new-contributor
|
900/361 |
Mathlib/Algebra/Category/ModuleCat/Presheaf/Monoidal.lean,Mathlib/CategoryTheory/Bicategory/End.lean,Mathlib/CategoryTheory/GradedObject/Monoidal.lean,Mathlib/CategoryTheory/Localization/Monoidal.lean,Mathlib/CategoryTheory/Monoidal/Braided/Basic.lean,Mathlib/CategoryTheory/Monoidal/Category.lean,Mathlib/CategoryTheory/Monoidal/Center.lean,Mathlib/CategoryTheory/Monoidal/CoherenceLemmas.lean,Mathlib/CategoryTheory/Monoidal/Discrete.lean,Mathlib/CategoryTheory/Monoidal/End.lean,Mathlib/CategoryTheory/Monoidal/Free/Basic.lean,Mathlib/CategoryTheory/Monoidal/Functor.lean,Mathlib/CategoryTheory/Monoidal/FunctorCategory.lean,Mathlib/CategoryTheory/Monoidal/Mon_.lean,Mathlib/CategoryTheory/Monoidal/Opposite.lean,Mathlib/CategoryTheory/Monoidal/Transport.lean,Mathlib/Tactic/CategoryTheory/Monoidal/Datatypes.lean,Mathlib/Tactic/CategoryTheory/Monoidal/Normalize.lean,Mathlib/Tactic/CategoryTheory/Monoidal/PureCoherence.lean,Mathlib/Tactic/CategoryTheory/MonoidalComp.lean,MathlibTest/StringDiagram.lean |
21 |
9 |
['YaelDillies', 'github-actions', 'grunweg', 'imbrem', 'kim-em', 'leanprover-community-bot-assistant'] |
nobody |
434-76099 1 year ago |
434-76100 434 days ago |
58-6026 58 days |
| 21525 |
sinhp author:sinhp |
feat(CategoryTheory): Locally Cartesian Closed Categories (Prelim) |
This PR defines the basic preliminaries for defining locally cartesian closed categories (LCCCs). In particular, using the calculus of mates we define certain natural isomorphisms involving `Over.star` and `Over.pullback` which will be crucial in defining the right adjoint to the pullback functor in the development of LCCCs.
---
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merge-conflict
t-category-theory
large-import
|
338/24 |
Mathlib/CategoryTheory/Comma/Over/Basic.lean,Mathlib/CategoryTheory/Comma/Over/Pullback.lean,Mathlib/CategoryTheory/Galois/Examples.lean |
3 |
13 |
['b-mehta', 'github-actions', 'joelriou', 'leanprover-community-bot-assistant', 'sinhp'] |
nobody |
434-76097 1 year ago |
434-76099 434 days ago |
36-69400 36 days |
| 16314 |
FR-vdash-bot author:FR-vdash-bot |
chore(Data/Quot): deprecate `ind*'` APIs |
---
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|
merge-conflict
t-data
|
247/287 |
Counterexamples/CliffordAlgebraNotInjective.lean,Mathlib/Algebra/Colimit/Module.lean,Mathlib/Algebra/Lie/Quotient.lean,Mathlib/Algebra/Module/Torsion.lean,Mathlib/Algebra/RingQuot.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Angle.lean,Mathlib/CategoryTheory/ConnectedComponents.lean,Mathlib/CategoryTheory/Subobject/Basic.lean,Mathlib/CategoryTheory/Subobject/FactorThru.lean,Mathlib/CategoryTheory/Subobject/Lattice.lean,Mathlib/Computability/Reduce.lean,Mathlib/Computability/Tape.lean,Mathlib/Data/List/Cycle.lean,Mathlib/Data/Multiset/MapFold.lean,Mathlib/Data/Multiset/ZeroCons.lean,Mathlib/Data/Quot.lean,Mathlib/Data/Setoid/Basic.lean,Mathlib/Data/Setoid/Partition.lean,Mathlib/FieldTheory/Fixed.lean,Mathlib/GroupTheory/Complement.lean,Mathlib/GroupTheory/Congruence/Basic.lean,Mathlib/GroupTheory/Congruence/Defs.lean,Mathlib/GroupTheory/Congruence/Hom.lean,Mathlib/GroupTheory/Coset/Basic.lean,Mathlib/GroupTheory/Coset/Defs.lean,Mathlib/GroupTheory/FreeAbelianGroup.lean,Mathlib/GroupTheory/GroupAction/Basic.lean,Mathlib/GroupTheory/GroupAction/Defs.lean,Mathlib/GroupTheory/GroupAction/Quotient.lean,Mathlib/GroupTheory/Index.lean,Mathlib/GroupTheory/MonoidLocalization/Basic.lean,Mathlib/GroupTheory/PGroup.lean,Mathlib/GroupTheory/Perm/Cycle/Concrete.lean,Mathlib/GroupTheory/PresentedGroup.lean,Mathlib/GroupTheory/QuotientGroup/Basic.lean,Mathlib/GroupTheory/QuotientGroup/Defs.lean,Mathlib/GroupTheory/SchurZassenhaus.lean,Mathlib/GroupTheory/Sylow.lean,Mathlib/LinearAlgebra/Alternating/DomCoprod.lean,Mathlib/LinearAlgebra/Projectivization/Basic.lean,Mathlib/LinearAlgebra/Quotient/Basic.lean,Mathlib/LinearAlgebra/Quotient/Defs.lean,Mathlib/MeasureTheory/Function/AEEqFun.lean,Mathlib/NumberTheory/Padics/PadicNumbers.lean,Mathlib/NumberTheory/RamificationInertia/Basic.lean,Mathlib/Order/Antisymmetrization.lean,Mathlib/Order/Category/PartOrd.lean,Mathlib/Order/Filter/Germ/Basic.lean,Mathlib/RepresentationTheory/GroupCohomology/Hilbert90.lean,Mathlib/RingTheory/AdicCompletion/Algebra.lean,Mathlib/RingTheory/AdicCompletion/Basic.lean,Mathlib/RingTheory/AdicCompletion/Functoriality.lean,Mathlib/RingTheory/AdjoinRoot.lean,Mathlib/RingTheory/Congruence/Basic.lean,Mathlib/RingTheory/Flat/FaithfullyFlat/Basic.lean,Mathlib/RingTheory/GradedAlgebra/HomogeneousLocalization.lean,Mathlib/RingTheory/Ideal/Cotangent.lean,Mathlib/RingTheory/Ideal/Norm/AbsNorm.lean,Mathlib/RingTheory/Ideal/Quotient/Basic.lean,Mathlib/RingTheory/Ideal/Quotient/Defs.lean,Mathlib/RingTheory/Ideal/Quotient/Operations.lean,Mathlib/RingTheory/Valuation/Quotient.lean,Mathlib/Topology/Algebra/Group/TopologicalAbelianization.lean,Mathlib/Topology/Algebra/InfiniteSum/Module.lean,Mathlib/Topology/Separation/Basic.lean |
65 |
4 |
['github-actions', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot'] |
nobody |
429-14663 1 year ago |
429-14665 429 days ago |
55-52030 55 days |
| 15483 |
FR-vdash-bot author:FR-vdash-bot |
chore(GroupTheory/Coset): reduce defeq abuse |
---
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|
merge-conflict
t-algebra
label:t-algebra$ |
114/60 |
Mathlib/GroupTheory/Commensurable.lean,Mathlib/GroupTheory/Coset.lean,Mathlib/GroupTheory/QuotientGroup.lean,Mathlib/LinearAlgebra/Alternating/DomCoprod.lean,Mathlib/MeasureTheory/Measure/Haar/Quotient.lean,Mathlib/Topology/Algebra/Group/Compact.lean |
6 |
14 |
['astrainfinita', 'eric-wieser', 'github-actions', 'grunweg', 'leanprover-bot', 'leanprover-community-mathlib4-bot', 'mattrobball', 'mergify', 'urkud'] |
nobody |
428-45956 1 year ago |
676-84286 676 days ago |
4-79214 4 days |
| 16594 |
FR-vdash-bot author:FR-vdash-bot |
perf: reorder `extends` and remove some instances in algebra hierarchy |
---
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|
merge-conflict
slow-typeclass-synthesis
t-algebra
label:t-algebra$ |
240/92 |
Mathlib.lean,Mathlib/Algebra/Algebra/Hom.lean,Mathlib/Algebra/Associated/Basic.lean,Mathlib/Algebra/BigOperators/Ring/List.lean,Mathlib/Algebra/Field/Defs.lean,Mathlib/Algebra/GCDMonoid/Basic.lean,Mathlib/Algebra/Group/Defs.lean,Mathlib/Algebra/Group/Ext.lean,Mathlib/Algebra/Group/Opposite.lean,Mathlib/Algebra/Group/Prod.lean,Mathlib/Algebra/GroupWithZero/Defs.lean,Mathlib/Algebra/GroupWithZero/Prod.lean,Mathlib/Algebra/Homology/Embedding/Basic.lean,Mathlib/Algebra/Order/AddGroupWithTop.lean,Mathlib/Algebra/Order/Field/Canonical/Defs.lean,Mathlib/Algebra/Order/Field/Defs.lean,Mathlib/Algebra/Order/Group/Unbundled/Abs.lean,Mathlib/Algebra/Order/GroupWithZero/Canonical.lean,Mathlib/Algebra/Order/Ring/Canonical.lean,Mathlib/Algebra/Order/Ring/Defs.lean,Mathlib/Algebra/Polynomial/Roots.lean,Mathlib/Algebra/Quaternion.lean,Mathlib/Algebra/Ring/Defs.lean,Mathlib/Algebra/Ring/Ext.lean,Mathlib/Algebra/Ring/InjSurj.lean,Mathlib/Algebra/Ring/Rat.lean,Mathlib/Algebra/Ring/SumsOfSquares.lean,Mathlib/Algebra/Tropical/Basic.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Order.lean,Mathlib/Analysis/InnerProductSpace/Symmetric.lean,Mathlib/CategoryTheory/Preadditive/FunctorCategory.lean,Mathlib/Data/Finset/NoncommProd.lean,Mathlib/Data/Int/Cast/Defs.lean,Mathlib/FieldTheory/IsAlgClosed/AlgebraicClosure.lean,Mathlib/FieldTheory/SplittingField/Construction.lean,Mathlib/GroupTheory/Congruence/Basic.lean,Mathlib/GroupTheory/MonoidLocalization/MonoidWithZero.lean,Mathlib/GroupTheory/Torsion.lean,Mathlib/LinearAlgebra/LinearPMap.lean,Mathlib/LinearAlgebra/TensorProduct/Basic.lean,Mathlib/Order/Filter/Germ/Basic.lean,Mathlib/Order/Interval/Finset/Box.lean,Mathlib/RingTheory/Bialgebra/Hom.lean,Mathlib/RingTheory/Coalgebra/Hom.lean,Mathlib/RingTheory/Ideal/Quotient.lean,Mathlib/RingTheory/Perfection.lean,Mathlib/RingTheory/TensorProduct/Basic.lean,Mathlib/RingTheory/TensorProduct/MvPolynomial.lean,Mathlib/Util/NoInstances.lean,scripts/noshake.json |
50 |
8 |
['astrainfinita', 'github-actions', 'grunweg', 'leanprover-bot'] |
nobody |
428-45732 1 year ago |
632-85279 632 days ago |
14-58900 14 days |
| 23859 |
urkud author:urkud |
feat(Topology/../Order/Field): generalize to `Semifield` |
.. from a linear ordered field to a linear ordered semifield---
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|
merge-conflict
t-topology
|
245/219 |
Mathlib/Algebra/Order/Group/Pointwise/Interval.lean,Mathlib/Analysis/BoxIntegral/Box/SubboxInduction.lean,Mathlib/Topology/Algebra/Order/Field.lean,Mathlib/Topology/Order/Basic.lean |
4 |
3 |
['github-actions', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot'] |
nobody |
422-2573 1 year ago |
435-13214 435 days ago |
0-265 4 minutes |
| 23810 |
b-reinke author:b-reinke |
chore(Order/Interval): generalize succ/pred lemmas to partial orders |
Many lemmas in `Mathlib/Order/Interval/Set/SuccPred.lean`and `Mathlib/Order/Interval/Finset/SuccPred.lean` also work for partial orders. They are generalized in this PR by introducing different sections for `PartialOrder` and `LinearOrder` assumptions in the respective files.
---
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|
merge-conflict
t-order
|
231/89 |
Mathlib/Order/Interval/Finset/SuccPred.lean,Mathlib/Order/Interval/Set/SuccPred.lean |
2 |
2 |
['github-actions', 'leanprover-community-bot-assistant'] |
nobody |
419-65748 1 year ago |
419-65750 419 days ago |
16-29623 16 days |
| 24285 |
madvorak author:madvorak |
chore(Algebra/*-{Category,Homology}): remove unnecessary universe variables |
Discussions:
https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Call.20for.20help.3A.20technical.2F.20organisational.20debt/with/513620128
https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Algebra.20and.20.60Type*.60/with/513558902
https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Task.2026.3A.20Replace.20Type.20u.20by.20Type*.20wherever.20possible/with/513592993
---
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merge-conflict
t-algebra
label:t-algebra$ |
542/916 |
Mathlib/Algebra/AddTorsor/Basic.lean,Mathlib/Algebra/Algebra/Defs.lean,Mathlib/Algebra/Algebra/Equiv.lean,Mathlib/Algebra/Algebra/Field.lean,Mathlib/Algebra/Algebra/Hom.lean,Mathlib/Algebra/Algebra/Operations.lean,Mathlib/Algebra/Algebra/Spectrum/Basic.lean,Mathlib/Algebra/Algebra/Subalgebra/Lattice.lean,Mathlib/Algebra/Algebra/Subalgebra/Tower.lean,Mathlib/Algebra/Algebra/Tower.lean,Mathlib/Algebra/Central/Basic.lean,Mathlib/Algebra/Central/Defs.lean,Mathlib/Algebra/Central/TensorProduct.lean,Mathlib/Algebra/CharP/Pi.lean,Mathlib/Algebra/CharP/Quotient.lean,Mathlib/Algebra/CharP/Subring.lean,Mathlib/Algebra/DirectSum/Algebra.lean,Mathlib/Algebra/DirectSum/Basic.lean,Mathlib/Algebra/DirectSum/Finsupp.lean,Mathlib/Algebra/DirectSum/Module.lean,Mathlib/Algebra/EuclideanDomain/Basic.lean,Mathlib/Algebra/EuclideanDomain/Defs.lean,Mathlib/Algebra/Field/Basic.lean,Mathlib/Algebra/Field/Defs.lean,Mathlib/Algebra/Field/IsField.lean,Mathlib/Algebra/Field/MinimalAxioms.lean,Mathlib/Algebra/Field/Subfield/Basic.lean,Mathlib/Algebra/Field/Subfield/Defs.lean,Mathlib/Algebra/FreeNonUnitalNonAssocAlgebra.lean,Mathlib/Algebra/Group/Conj.lean,Mathlib/Algebra/Group/Defs.lean,Mathlib/Algebra/Group/Equiv/Finite.lean,Mathlib/Algebra/Group/Ext.lean,Mathlib/Algebra/Group/Hom/End.lean,Mathlib/Algebra/Group/Hom/Instances.lean,Mathlib/Algebra/Group/Invertible/Basic.lean,Mathlib/Algebra/Group/Invertible/Defs.lean,Mathlib/Algebra/Group/Pi/Basic.lean,Mathlib/Algebra/Group/Pi/Lemmas.lean,Mathlib/Algebra/Group/TypeTags/Basic.lean,Mathlib/Algebra/Group/TypeTags/Finite.lean,Mathlib/Algebra/Group/TypeTags/Hom.lean,Mathlib/Algebra/Group/Units/Basic.lean,Mathlib/Algebra/Group/Units/Defs.lean,Mathlib/Algebra/Group/Units/Hom.lean,Mathlib/Algebra/Group/WithOne/Basic.lean,Mathlib/Algebra/Group/WithOne/Defs.lean,Mathlib/Algebra/GroupWithZero/Action/Pi.lean,Mathlib/Algebra/GroupWithZero/Defs.lean,Mathlib/Algebra/GroupWithZero/Invertible.lean,Mathlib/Algebra/GroupWithZero/NeZero.lean,Mathlib/Algebra/Lie/Abelian.lean,Mathlib/Algebra/Lie/Basic.lean,Mathlib/Algebra/Lie/CartanMatrix.lean,Mathlib/Algebra/Lie/CartanSubalgebra.lean,Mathlib/Algebra/Lie/Character.lean,Mathlib/Algebra/Lie/Classical.lean,Mathlib/Algebra/Lie/DirectSum.lean,Mathlib/Algebra/Lie/Free.lean,Mathlib/Algebra/Lie/Ideal.lean,Mathlib/Algebra/Lie/IdealOperations.lean,Mathlib/Algebra/Lie/Matrix.lean,Mathlib/Algebra/Lie/Nilpotent.lean,Mathlib/Algebra/Lie/NonUnitalNonAssocAlgebra.lean,Mathlib/Algebra/Lie/OfAssociative.lean,Mathlib/Algebra/Lie/Quotient.lean,Mathlib/Algebra/Lie/SkewAdjoint.lean,Mathlib/Algebra/Lie/Solvable.lean,Mathlib/Algebra/Lie/Subalgebra.lean,Mathlib/Algebra/Lie/Submodule.lean,Mathlib/Algebra/Lie/TensorProduct.lean,Mathlib/Algebra/Lie/UniversalEnveloping.lean,Mathlib/Algebra/Module/Basic.lean,Mathlib/Algebra/Module/CharacterModule.lean,Mathlib/Algebra/Module/DedekindDomain.lean,Mathlib/Algebra/Module/Defs.lean,Mathlib/Algebra/Module/End.lean,Mathlib/Algebra/Module/Equiv/Opposite.lean,Mathlib/Algebra/Module/Lattice.lean,Mathlib/Algebra/Module/LinearMap/Basic.lean,Mathlib/Algebra/Module/LinearMap/Defs.lean,Mathlib/Algebra/Module/LinearMap/End.lean,Mathlib/Algebra/Module/LocalizedModule/Basic.lean,Mathlib/Algebra/Module/MinimalAxioms.lean,Mathlib/Algebra/Module/NatInt.lean,Mathlib/Algebra/Module/Opposite.lean,Mathlib/Algebra/Module/Pi.lean,Mathlib/Algebra/Module/Presentation/Differentials.lean,Mathlib/Algebra/Module/Presentation/Tensor.lean,Mathlib/Algebra/Module/Rat.lean,Mathlib/Algebra/Module/RingHom.lean,Mathlib/Algebra/Module/Submodule/Basic.lean,Mathlib/Algebra/Module/Torsion.lean,Mathlib/Algebra/MonoidAlgebra/Basic.lean,Mathlib/Algebra/MonoidAlgebra/Defs.lean,Mathlib/Algebra/MonoidAlgebra/Support.lean,Mathlib/Algebra/MvPolynomial/Basic.lean,Mathlib/Algebra/MvPolynomial/CommRing.lean,Mathlib/Algebra/MvPolynomial/Degrees.lean,Mathlib/Algebra/MvPolynomial/Equiv.lean |
182 |
22 |
['erdOne', 'github-actions', 'leanprover-bot', 'leanprover-community-bot-assistant', 'madvorak', 'mattrobball'] |
nobody |
419-54445 1 year ago |
419-54446 419 days ago |
2-11655 2 days |
| 23349 |
BGuillemet author:BGuillemet |
feat: add LocallyLipschitzOn.lipschitzOnWith_of_isCompact and two small lemmas about Lipschitz functions |
Main feat (in Mathlib/Topology/EMetricSpace/Basic.lean): if a function `f` from an extended pseudometric space to a pseudometric space is locally Lipschitz on a compact subset `s`, then `f` is Lipschitz on `s`. The theorem is true only when the codomain of `f` is a pseudometric space, so it needs imports from Mathlib/Topology/MetricSpace.
Other small feat (in Mathlib/Analysis/Calculus/ContDiff/RCLike.lean): a function that is continuously differentiable on an open subset is locally Lipschitz on this subset.
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|
merge-conflict
t-topology
large-import
new-contributor
|
59/4 |
Mathlib/Analysis/Calculus/ContDiff/RCLike.lean,Mathlib/Topology/EMetricSpace/Lipschitz.lean |
2 |
4 |
['github-actions', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot'] |
PatrickMassot assignee:PatrickMassot |
386-61195 1 year ago |
386-61197 386 days ago |
35-30364 35 days |
| 16020 |
adomani author:adomani |
feat: compare PR `olean`s size with `master` |
Adds two CI steps:
* `print the sizes of the oleans` that prints the sizes of all the folders containing `Mathlib` `.olean`s;
* `compare oleans` that compares the sizes of the previous step with the corresponding sizes on `master`.
In the test runs, the two steps have taken at most 3 seconds combined (the first is virtually instantaneous, the second one depends on `curl` to find a job id and on `gh` to retrieve the logs of a previous CI run -- everything else appears to be negligible).
This hopefully helps finding out if some PR is bloating up the `.olean`s.
See [this Zulip discussion](https://leanprover.zulipchat.com/#narrow/stream/287929-mathlib4/topic/Error.3A.20No.20space.20left.20on.20device/near/463792355) for a PR of mine that prompted this check.
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|
merge-conflict
CI
|
120/0 |
.github/build.in.yml,.github/workflows/bors.yml,.github/workflows/build.yml,.github/workflows/build_fork.yml,scripts/olean_comparison.sh |
5 |
50 |
['Vtec234', 'YaelDillies', 'adomani', 'bryangingechen', 'github-actions', 'grunweg', 'kim-em', 'leanprover-community-bot-assistant', 'mattrobball'] |
nobody |
377-24802 1 year ago |
377-24804 377 days ago |
285-26861 285 days |
| 25340 |
dupuisf author:dupuisf |
chore(Analysis/Convex): move files pertaining to convex/concave functions to their own folder |
This PR creates a new folder under `Analysis/Convex` called `Analysis/Convex/Function`, which includes files that are mostly or entirely about convex/concave functions (as opposed to convex sets).
---
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|
merge-conflict
t-convex-geometry
|
4264/4155 |
Mathlib.lean,Mathlib/Analysis/Convex/Continuous.lean,Mathlib/Analysis/Convex/Deriv.lean,Mathlib/Analysis/Convex/Exposed.lean,Mathlib/Analysis/Convex/Extrema.lean,Mathlib/Analysis/Convex/Function.lean,Mathlib/Analysis/Convex/Function/Basic.lean,Mathlib/Analysis/Convex/Function/Continuous.lean,Mathlib/Analysis/Convex/Function/Deriv.lean,Mathlib/Analysis/Convex/Function/Extrema.lean,Mathlib/Analysis/Convex/Function/Integral.lean,Mathlib/Analysis/Convex/Function/Jensen.lean,Mathlib/Analysis/Convex/Function/Mul.lean,Mathlib/Analysis/Convex/Function/Piecewise.lean,Mathlib/Analysis/Convex/Function/Quasiconvex.lean,Mathlib/Analysis/Convex/Function/Slope.lean,Mathlib/Analysis/Convex/Function/Strong.lean,Mathlib/Analysis/Convex/Integral.lean,Mathlib/Analysis/Convex/Jensen.lean,Mathlib/Analysis/Convex/Mul.lean,Mathlib/Analysis/Convex/Piecewise.lean,Mathlib/Analysis/Convex/Quasiconvex.lean,Mathlib/Analysis/Convex/Slope.lean,Mathlib/Analysis/Convex/SpecificFunctions/Basic.lean,Mathlib/Analysis/Convex/SpecificFunctions/Deriv.lean,Mathlib/Analysis/Convex/Strong.lean,Mathlib/Analysis/MeanInequalities.lean,Mathlib/Analysis/MeanInequalitiesPow.lean,Mathlib/Analysis/Normed/Module/Convex.lean,Mathlib/Analysis/Seminorm.lean,Mathlib/Analysis/SpecialFunctions/Log/NegMulLog.lean,Mathlib/Analysis/SpecialFunctions/Pochhammer.lean,Mathlib/MeasureTheory/Measure/Decomposition/IntegralRNDeriv.lean,Mathlib/NumberTheory/Harmonic/GammaDeriv.lean |
34 |
2 |
['github-actions', 'leanprover-community-bot-assistant'] |
nobody |
375-84022 1 year ago |
375-84024 375 days ago |
6-38644 6 days |
| 18441 |
ADedecker author:ADedecker |
refactor(AdicTopology): use new API for algebraic filter bases, and factor some code |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-topology
t-algebra
label:t-algebra$ |
847/159 |
Mathlib.lean,Mathlib/Topology/Algebra/FilterBasis.lean,Mathlib/Topology/Algebra/FilterBasisNew.lean,Mathlib/Topology/Algebra/Nonarchimedean/AdicTopology.lean,Mathlib/Topology/Algebra/Nonarchimedean/Bases.lean,Mathlib/Topology/Algebra/Nonarchimedean/BasesNew.lean |
6 |
3 |
['ADedecker', 'github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
363-75763 11 months ago |
595-73662 595 days ago |
0-679 11 minutes |
| 18439 |
ADedecker author:ADedecker |
refactor: use new algebraic filter bases API in `FiniteAdeleRing` |
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|
merge-conflict
t-topology
t-algebra
label:t-algebra$ |
699/21 |
Mathlib.lean,Mathlib/RingTheory/DedekindDomain/FiniteAdeleRing.lean,Mathlib/Topology/Algebra/FilterBasis.lean,Mathlib/Topology/Algebra/FilterBasisNew.lean,Mathlib/Topology/Algebra/Nonarchimedean/Bases.lean,Mathlib/Topology/Algebra/Nonarchimedean/BasesNew.lean |
6 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
363-75761 11 months ago |
595-75305 595 days ago |
0-619 10 minutes |
| 18438 |
ADedecker author:ADedecker |
refactor: adapt `KrullTopology` to the new algebraic filter bases API |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-topology
t-algebra
label:t-algebra$ |
771/168 |
Mathlib.lean,Mathlib/FieldTheory/KrullTopology.lean,Mathlib/Topology/Algebra/FilterBasis.lean,Mathlib/Topology/Algebra/FilterBasisNew.lean,Mathlib/Topology/Algebra/Nonarchimedean/Bases.lean,Mathlib/Topology/Algebra/Nonarchimedean/BasesNew.lean |
6 |
5 |
['ADedecker', 'AntoineChambert-Loir', 'github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
363-75760 11 months ago |
595-75947 595 days ago |
0-638 10 minutes |
| 13964 |
pechersky author:pechersky |
feat(Data/DigitExpansion): begin defining variant of reals without rationals |
Based on a de Bruijn 1976 paper.
This file is just the basic definition of a digit expansion. Will be followed up with further constructions.
---
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|
merge-conflict
t-data
|
518/0 |
Mathlib.lean,Mathlib/Data/DigitExpansion/Defs.lean,docs/references.bib |
3 |
11 |
['eric-wieser', 'github-actions', 'kim-em', 'pechersky'] |
dupuisf assignee:dupuisf |
360-58051 11 months ago |
598-84267 598 days ago |
129-57999 129 days |
| 24823 |
eric-wieser author:eric-wieser |
refactor: add `hom` lemmas for the `MonoidalCategory` structure on `ModuleCat` |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebra
label:t-algebra$ |
148/164 |
Mathlib/Algebra/Category/FGModuleCat/Basic.lean,Mathlib/Algebra/Category/ModuleCat/Adjunctions.lean,Mathlib/Algebra/Category/ModuleCat/Monoidal/Basic.lean,Mathlib/Algebra/Category/ModuleCat/Monoidal/Closed.lean,Mathlib/Algebra/Category/ModuleCat/Monoidal/Symmetric.lean,Mathlib/Algebra/Category/ModuleCat/Presheaf/Free.lean,Mathlib/Algebra/Category/ModuleCat/Presheaf/Generator.lean,Mathlib/Algebra/Category/ModuleCat/Presheaf/Monoidal.lean,Mathlib/CategoryTheory/Monoidal/Internal/Module.lean,Mathlib/RepresentationTheory/Coinvariants.lean,Mathlib/RepresentationTheory/Rep.lean |
11 |
21 |
['101damnations', 'YaelDillies', 'eric-wieser', 'github-actions', 'joelriou', 'kbuzzard', 'leanprover-community-bot-assistant'] |
101damnations assignee:101damnations |
348-22711 11 months ago |
348-22711 348 days ago |
37-56728 37 days |
| 25071 |
erdOne author:erdOne |
feat(EllipticCurve): basic API for singular cubics |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebraic-geometry
|
320/0 |
Mathlib.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Singular/Basic.lean,Mathlib/AlgebraicGeometry/EllipticCurve/VariableChange.lean |
3 |
35 |
['Multramate', 'acmepjz', 'erdOne', 'github-actions', 'leanprover-community-bot-assistant'] |
nobody |
348-22465 11 months ago |
348-22466 348 days ago |
45-4165 45 days |
| 25988 |
Multramate author:Multramate |
refactor(AlgebraicGeometry/EllipticCurve/*): replace Fin 3 with products |
This PR continues the work from #24593.
Original PR: https://github.com/leanprover-community/mathlib4/pull/24593 |
merge-conflict
t-algebraic-geometry
|
1000/1022 |
Mathlib/AlgebraicGeometry/EllipticCurve/Jacobian/Basic.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Jacobian/Formula.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Jacobian/Point.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Projective/Basic.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Projective/Formula.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Projective/Point.lean |
6 |
3 |
['Multramate', 'github-actions', 'leanprover-community-bot-assistant'] |
nobody |
348-22153 11 months ago |
348-22153 348 days ago |
18-21880 18 days |
| 26067 |
mapehe author:mapehe |
feat(Topology/StoneCech): exists_continuous_surjection_from_StoneCech_to_dense_range |
This lemma formalises the following version of the maximality property of the Stone–Čech compactification: If `f : α → β` is a continuous map from a topological space `α` to a Hausdorff space `β` with dense range, then there exists a continuous surjection from `StoneCech α` to `β` extending `f`. In particular, `StoneCech α` is the “largest” compact Hausdorff space into which `α` densely embeds, in the sense that any other such space is a continuous image of it.
---
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|
merge-conflict
t-topology
|
18/0 |
Mathlib/Topology/StoneCech.lean |
1 |
2 |
['github-actions', 'leanprover-community-bot-assistant'] |
nobody |
345-3531 11 months ago |
345-3531 345 days ago |
20-8582 20 days |
| 25238 |
Hagb author:Hagb |
feat(Tactic/ComputeDegree): add support for scalar multiplication with different types |
It would be able to deal with `a • (X : R[X])` where `a : S` is in a different type `S` with `[SMulZeroClass S R]`.
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-meta
new-contributor
|
17/5 |
Mathlib/Tactic/ComputeDegree.lean,MathlibTest/ComputeDegree.lean |
2 |
3 |
['github-actions', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot'] |
nobody |
318-793 10 months ago |
348-22462 348 days ago |
38-26044 38 days |
| 18646 |
jxjwan author:jxjwan |
feat(RingTheory): isotypic components |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-ring-theory
new-contributor
|
308/0 |
Mathlib/Order/CompactlyGenerated/Basic.lean,Mathlib/RingTheory/Isotypic.lean,Mathlib/RingTheory/SimpleModule.lean |
3 |
1 |
['github-actions'] |
nobody |
317-2814 10 months ago |
569-82807 569 days ago |
20-15640 20 days |
| 26200 |
adomani author:adomani |
fix: add label when landrun fails |
Adds the `permission-denied` label on PRs that get blocked by landrun.
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|
merge-conflict
CI
|
68/8 |
.github/build.in.yml,.github/workflows/bors.yml,.github/workflows/build.yml,.github/workflows/build_fork.yml |
4 |
2 |
['github-actions', 'mathlib4-merge-conflict-bot'] |
nobody |
316-38146 10 months ago |
316-38146 316 days ago |
46-52210 46 days |
| 27987 |
kckennylau author:kckennylau |
feat(RingTheory/Valuation): define ball, closed ball, and sphere |
---
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The pullback PR of #26827 and #27451.
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-ring-theory
large-import
|
73/0 |
Mathlib/RingTheory/Valuation/Basic.lean |
1 |
4 |
['JovanGerb', 'github-actions', 'kckennylau', 'mathlib4-merge-conflict-bot'] |
nobody |
310-70278 10 months ago |
310-70279 310 days ago |
6-6455 6 days |
| 27003 |
eric-wieser author:eric-wieser |
chore: use `Simp.ResultQ` more often |
Also uses `~q` in place of manual `isDefEq` matching.
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|
merge-conflict
t-meta
|
18/22 |
Mathlib/Tactic/NormNum/Core.lean,Mathlib/Tactic/NormNum/Result.lean,Mathlib/Tactic/ReduceModChar.lean |
3 |
7 |
['JovanGerb', 'eric-wieser', 'github-actions', 'mathlib4-merge-conflict-bot'] |
JovanGerb assignee:JovanGerb |
308-84902 10 months ago |
308-84903 308 days ago |
32-70098 32 days |
| 25401 |
digama0 author:digama0 |
feat(Util): SuppressSorry option |
See also leanprover/lean4#8611 and [#lean4 > Silent sorry @ 💬](https://leanprover.zulipchat.com/#narrow/channel/270676-lean4/topic/Silent.20sorry/near/503537964). This is a stop-gap solution while leanprover/lean4#8611 is underway, but it works about as well as any other built in option. Hooking declaration elaborators turns out to be a very powerful technique.
---
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|
merge-conflict
t-meta
|
342/0 |
Mathlib.lean,Mathlib/Util/CommandElabHook.lean,Mathlib/Util/SuppressSorry.lean,MathlibTest/suppressSorry.lean |
4 |
15 |
['digama0', 'eric-wieser', 'github-actions', 'mathlib4-merge-conflict-bot'] |
alexjbest assignee:alexjbest |
308-39698 10 months ago |
308-39698 308 days ago |
71-27957 71 days |
| 28622 |
alreadydone author:alreadydone |
chore(Mathlib): replace `=>` by `↦` |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict |
51792/51792 |
Mathlib/Algebra/AddTorsor/Basic.lean,Mathlib/Algebra/AddTorsor/Defs.lean,Mathlib/Algebra/Algebra/Basic.lean,Mathlib/Algebra/Algebra/Bilinear.lean,Mathlib/Algebra/Algebra/Defs.lean,Mathlib/Algebra/Algebra/Equiv.lean,Mathlib/Algebra/Algebra/Hom.lean,Mathlib/Algebra/Algebra/Hom/Rat.lean,Mathlib/Algebra/Algebra/NonUnitalHom.lean,Mathlib/Algebra/Algebra/NonUnitalSubalgebra.lean,Mathlib/Algebra/Algebra/Operations.lean,Mathlib/Algebra/Algebra/Opposite.lean,Mathlib/Algebra/Algebra/Prod.lean,Mathlib/Algebra/Algebra/Rat.lean,Mathlib/Algebra/Algebra/Spectrum/Basic.lean,Mathlib/Algebra/Algebra/Spectrum/Pi.lean,Mathlib/Algebra/Algebra/Spectrum/Quasispectrum.lean,Mathlib/Algebra/Algebra/Subalgebra/Basic.lean,Mathlib/Algebra/Algebra/Subalgebra/Centralizer.lean,Mathlib/Algebra/Algebra/Subalgebra/Directed.lean,Mathlib/Algebra/Algebra/Subalgebra/IsSimpleOrder.lean,Mathlib/Algebra/Algebra/Subalgebra/Lattice.lean,Mathlib/Algebra/Algebra/Subalgebra/Matrix.lean,Mathlib/Algebra/Algebra/Subalgebra/Operations.lean,Mathlib/Algebra/Algebra/Subalgebra/Pointwise.lean,Mathlib/Algebra/Algebra/Subalgebra/Prod.lean,Mathlib/Algebra/Algebra/Subalgebra/Unitization.lean,Mathlib/Algebra/Algebra/Tower.lean,Mathlib/Algebra/Algebra/TransferInstance.lean,Mathlib/Algebra/Algebra/Unitization.lean,Mathlib/Algebra/Algebra/ZMod.lean,Mathlib/Algebra/AlgebraicCard.lean,Mathlib/Algebra/BigOperators/Associated.lean,Mathlib/Algebra/BigOperators/Expect.lean,Mathlib/Algebra/BigOperators/Fin.lean,Mathlib/Algebra/BigOperators/Finprod.lean,Mathlib/Algebra/BigOperators/Finsupp/Basic.lean,Mathlib/Algebra/BigOperators/Finsupp/Fin.lean,Mathlib/Algebra/BigOperators/Group/Finset/Basic.lean,Mathlib/Algebra/BigOperators/Group/Finset/Defs.lean,Mathlib/Algebra/BigOperators/Group/Finset/Piecewise.lean,Mathlib/Algebra/BigOperators/Group/Finset/Sigma.lean,Mathlib/Algebra/BigOperators/Group/List/Basic.lean,Mathlib/Algebra/BigOperators/Group/List/Defs.lean,Mathlib/Algebra/BigOperators/Group/List/Lemmas.lean,Mathlib/Algebra/BigOperators/Group/Multiset/Basic.lean,Mathlib/Algebra/BigOperators/Group/Multiset/Defs.lean,Mathlib/Algebra/BigOperators/GroupWithZero/Finset.lean,Mathlib/Algebra/BigOperators/Intervals.lean,Mathlib/Algebra/BigOperators/Option.lean,Mathlib/Algebra/BigOperators/Pi.lean,Mathlib/Algebra/BigOperators/Ring/Finset.lean,Mathlib/Algebra/BigOperators/Ring/Multiset.lean,Mathlib/Algebra/Category/AlgCat/Basic.lean,Mathlib/Algebra/Category/AlgCat/Limits.lean,Mathlib/Algebra/Category/AlgCat/Monoidal.lean,Mathlib/Algebra/Category/BialgCat/Basic.lean,Mathlib/Algebra/Category/BoolRing.lean,Mathlib/Algebra/Category/CoalgCat/Basic.lean,Mathlib/Algebra/Category/CoalgCat/ComonEquivalence.lean,Mathlib/Algebra/Category/FGModuleCat/Limits.lean,Mathlib/Algebra/Category/Grp/AB.lean,Mathlib/Algebra/Category/Grp/Adjunctions.lean,Mathlib/Algebra/Category/Grp/Basic.lean,Mathlib/Algebra/Category/Grp/Biproducts.lean,Mathlib/Algebra/Category/Grp/CartesianMonoidal.lean,Mathlib/Algebra/Category/Grp/Colimits.lean,Mathlib/Algebra/Category/Grp/EpiMono.lean,Mathlib/Algebra/Category/Grp/FilteredColimits.lean,Mathlib/Algebra/Category/Grp/Images.lean,Mathlib/Algebra/Category/Grp/Kernels.lean,Mathlib/Algebra/Category/Grp/LargeColimits.lean,Mathlib/Algebra/Category/Grp/LeftExactFunctor.lean,Mathlib/Algebra/Category/Grp/Limits.lean,Mathlib/Algebra/Category/Grp/Preadditive.lean,Mathlib/Algebra/Category/Grp/ZModuleEquivalence.lean,Mathlib/Algebra/Category/Grp/Zero.lean,Mathlib/Algebra/Category/GrpWithZero.lean,Mathlib/Algebra/Category/HopfAlgCat/Basic.lean,Mathlib/Algebra/Category/ModuleCat/Adjunctions.lean,Mathlib/Algebra/Category/ModuleCat/Basic.lean,Mathlib/Algebra/Category/ModuleCat/Biproducts.lean,Mathlib/Algebra/Category/ModuleCat/ChangeOfRings.lean,Mathlib/Algebra/Category/ModuleCat/Colimits.lean,Mathlib/Algebra/Category/ModuleCat/EpiMono.lean,Mathlib/Algebra/Category/ModuleCat/FilteredColimits.lean,Mathlib/Algebra/Category/ModuleCat/Images.lean,Mathlib/Algebra/Category/ModuleCat/Injective.lean,Mathlib/Algebra/Category/ModuleCat/Kernels.lean,Mathlib/Algebra/Category/ModuleCat/Limits.lean,Mathlib/Algebra/Category/ModuleCat/Monoidal/Basic.lean,Mathlib/Algebra/Category/ModuleCat/Monoidal/Closed.lean,Mathlib/Algebra/Category/ModuleCat/Monoidal/Symmetric.lean,Mathlib/Algebra/Category/ModuleCat/Presheaf.lean,Mathlib/Algebra/Category/ModuleCat/Presheaf/Abelian.lean,Mathlib/Algebra/Category/ModuleCat/Presheaf/Colimits.lean,Mathlib/Algebra/Category/ModuleCat/Presheaf/Limits.lean,Mathlib/Algebra/Category/ModuleCat/Presheaf/Pushforward.lean,Mathlib/Algebra/Category/ModuleCat/Presheaf/Sheafify.lean,Mathlib/Algebra/Category/ModuleCat/Products.lean |
3838 |
4 |
['github-actions', 'mathlib4-merge-conflict-bot'] |
nobody |
302-43178 9 months ago |
302-43179 302 days ago |
0-62065 17 hours |
| 28626 |
alreadydone author:alreadydone |
chore(Archive, Counterexamples): replace => by ↦ |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict |
288/288 |
Archive/Arithcc.lean,Archive/Examples/IfNormalization/Result.lean,Archive/Examples/IfNormalization/WithoutAesop.lean,Archive/Examples/PropEncodable.lean,Archive/Imo/Imo1959Q1.lean,Archive/Imo/Imo1960Q1.lean,Archive/Imo/Imo1962Q4.lean,Archive/Imo/Imo1972Q5.lean,Archive/Imo/Imo1977Q6.lean,Archive/Imo/Imo1981Q3.lean,Archive/Imo/Imo1987Q1.lean,Archive/Imo/Imo1988Q6.lean,Archive/Imo/Imo1994Q1.lean,Archive/Imo/Imo1998Q2.lean,Archive/Imo/Imo2001Q2.lean,Archive/Imo/Imo2006Q3.lean,Archive/Imo/Imo2006Q5.lean,Archive/Imo/Imo2008Q2.lean,Archive/Imo/Imo2008Q4.lean,Archive/Imo/Imo2011Q3.lean,Archive/Imo/Imo2013Q1.lean,Archive/Imo/Imo2019Q1.lean,Archive/Imo/Imo2024Q5.lean,Archive/MiuLanguage/Basic.lean,Archive/MiuLanguage/DecisionSuf.lean,Archive/OxfordInvariants/Summer2021/Week3P1.lean,Archive/Sensitivity.lean,Archive/Wiedijk100Theorems/AbelRuffini.lean,Archive/Wiedijk100Theorems/AreaOfACircle.lean,Archive/Wiedijk100Theorems/AscendingDescendingSequences.lean,Archive/Wiedijk100Theorems/BallotProblem.lean,Archive/Wiedijk100Theorems/BirthdayProblem.lean,Archive/Wiedijk100Theorems/BuffonsNeedle.lean,Archive/Wiedijk100Theorems/CubingACube.lean,Archive/Wiedijk100Theorems/FriendshipGraphs.lean,Archive/Wiedijk100Theorems/Konigsberg.lean,Archive/Wiedijk100Theorems/Partition.lean,Archive/Wiedijk100Theorems/SumOfPrimeReciprocalsDiverges.lean,Archive/ZagierTwoSquares.lean,Counterexamples/AharoniKorman.lean,Counterexamples/CanonicallyOrderedCommSemiringTwoMul.lean,Counterexamples/CharPZeroNeCharZero.lean,Counterexamples/CliffordAlgebraNotInjective.lean,Counterexamples/DirectSumIsInternal.lean,Counterexamples/GameMultiplication.lean,Counterexamples/Girard.lean,Counterexamples/HomogeneousPrimeNotPrime.lean,Counterexamples/MapFloor.lean,Counterexamples/MonicNonRegular.lean,Counterexamples/Phillips.lean,Counterexamples/Pseudoelement.lean,Counterexamples/QuadraticForm.lean,Counterexamples/SorgenfreyLine.lean,Counterexamples/ZeroDivisorsInAddMonoidAlgebras.lean |
54 |
2 |
['github-actions', 'mathlib4-merge-conflict-bot'] |
nobody |
300-72304 9 months ago |
300-72305 300 days ago |
2-47136 2 days |
| 27403 |
MoritzBeroRoos author:MoritzBeroRoos |
fix: replace probably erroneous usage of ⬝ (with old \cdot) by · (with \centerdot) |
Discussion at [zulip](https://leanprover.zulipchat.com/#narrow/channel/270676-lean4/topic/.5Ccdot.20!.3D.20.5Ccenterdot).
Currently the abbreviations \cdot and \centerdot resolve to different, with the naked eye nearly undistinguishable symbols (despite the c in cdot surely standing for center..).
This pr replaces instances of ⬝ where · was probably meant.
All of the replacement is in comments, except for the file bench_summary.lean which is used for priting the github benchmark results. Since this file is about scientific notation of numbers, sure · was meant to be used, not a rectangle.
[Related](https://github.com/leanprover-community/mathlib4/pull/27399)
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
new-contributor
|
195/195 |
Mathlib/Algebra/ContinuedFractions/Computation/Approximations.lean,Mathlib/Algebra/DirectSum/Idempotents.lean,Mathlib/Algebra/Lie/Derivation/Basic.lean,Mathlib/Algebra/Module/Equiv/Basic.lean,Mathlib/AlgebraicGeometry/EllipticCurve/DivisionPolynomial/Basic.lean,Mathlib/Analysis/Analytic/Constructions.lean,Mathlib/Analysis/CStarAlgebra/CStarMatrix.lean,Mathlib/Analysis/Calculus/ContDiff/Basic.lean,Mathlib/Analysis/Calculus/ContDiff/Bounds.lean,Mathlib/Analysis/Calculus/FDeriv/Symmetric.lean,Mathlib/Analysis/Fourier/FourierTransformDeriv.lean,Mathlib/Analysis/InnerProductSpace/Dual.lean,Mathlib/Analysis/InnerProductSpace/PiL2.lean,Mathlib/Analysis/Normed/Unbundled/InvariantExtension.lean,Mathlib/Analysis/SpecialFunctions/Complex/CircleAddChar.lean,Mathlib/Combinatorics/Configuration.lean,Mathlib/Combinatorics/SimpleGraph/AdjMatrix.lean,Mathlib/Combinatorics/SimpleGraph/LapMatrix.lean,Mathlib/Data/Matrix/Block.lean,Mathlib/Data/Matrix/ConjTranspose.lean,Mathlib/Data/Matrix/Hadamard.lean,Mathlib/Data/Matrix/Mul.lean,Mathlib/Data/Matrix/Notation.lean,Mathlib/Data/Matrix/Reflection.lean,Mathlib/Data/Matrix/RowCol.lean,Mathlib/Data/Matrix/Vec.lean,Mathlib/FieldTheory/PurelyInseparable/PerfectClosure.lean,Mathlib/Geometry/Manifold/GroupLieAlgebra.lean,Mathlib/GroupTheory/Coxeter/Matrix.lean,Mathlib/LinearAlgebra/CrossProduct.lean,Mathlib/LinearAlgebra/Matrix/BilinearForm.lean,Mathlib/LinearAlgebra/Matrix/DotProduct.lean,Mathlib/LinearAlgebra/Matrix/Nondegenerate.lean,Mathlib/LinearAlgebra/Matrix/Orthogonal.lean,Mathlib/LinearAlgebra/Matrix/PosDef.lean,Mathlib/LinearAlgebra/Matrix/SchurComplement.lean,Mathlib/LinearAlgebra/Matrix/SesquilinearForm.lean,Mathlib/LinearAlgebra/Matrix/Trace.lean,Mathlib/LinearAlgebra/Multilinear/Basic.lean,Mathlib/LinearAlgebra/PerfectPairing/Matrix.lean,Mathlib/LinearAlgebra/Projectivization/Constructions.lean,Mathlib/NumberTheory/NumberField/ProductFormula.lean,Mathlib/NumberTheory/SiegelsLemma.lean,Mathlib/RingTheory/DividedPowers/SubDPIdeal.lean,Mathlib/SetTheory/Ordinal/Veblen.lean,Mathlib/Topology/Algebra/Module/Equiv.lean,Mathlib/Topology/Homeomorph/Lemmas.lean,Mathlib/Topology/Instances/Matrix.lean,scripts/bench_summary.lean |
49 |
5 |
['eric-wieser', 'github-actions', 'grunweg', 'leanprover-community-bot-assistant'] |
nobody |
299-18940 9 months ago |
321-81262 321 days ago |
7-54661 7 days |
| 28042 |
kckennylau author:kckennylau |
feat(Topology/ValuativeRel): a topological basis indexed by pairs of elements |
---
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The pullback PR of #27314 and #27163.
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-ring-theory
|
140/23 |
Mathlib/RingTheory/Valuation/ValuativeRel.lean,Mathlib/Topology/Algebra/Valued/ValuativeRel.lean |
2 |
3 |
['github-actions', 'grunweg', 'mathlib4-merge-conflict-bot'] |
nobody |
299-18894 9 months ago |
308-70338 308 days ago |
7-4998 7 days |
| 27399 |
MoritzBeroRoos author:MoritzBeroRoos |
chore: replace every usage of ⬝ᵥ (with old \cdot) by ·ᵥ (with \centerdot) |
Discussion at [zulip](https://leanprover.zulipchat.com/#narrow/channel/270676-lean4/topic/.5Ccdot.20!.3D.20.5Ccenterdot).
Currently the abbreviations `\cdot` and `\centerdot` resolve to different, with the naked eye nearly undistinguishable symbols (despite the c in cdot surely standing for `center`..):
- `\cdot` gives ⬝ [U+2B1D](https://www.compart.com/en/unicode/U+2B1D) "Black Very Small Square"
- `\centerdot` gives · [U+00B7](https://www.compart.com/en/unicode/U+00B7) "Middle Dot"
Mathlib mostly uses the `\centerdot` variant, except for the dotProduct notation and some probably unsuspecting people wanting \centerdot but getting \cdot in their comments and 6 uses of a notation using the raw `\cdot` without any subscript at `Mathlib\Topology\Homotopy\Product.lean`.
This PR replaces the dot product `⬝ᵥ` with its `\centerdot` counterpart `·ᵥ`. The related PR [here](https://github.com/leanprover/vscode-lean4/pull/639) can then overwrite the `\cdot` abbreviation, to produce the same symbol as the `centerdot` abbreviation does.
---
[](https://gitpod.io/from-referrer/)
|
merge-conflict
new-contributor
|
133/133 |
Mathlib/Analysis/CStarAlgebra/CStarMatrix.lean,Mathlib/Analysis/InnerProductSpace/PiL2.lean,Mathlib/Combinatorics/Configuration.lean,Mathlib/Combinatorics/SimpleGraph/AdjMatrix.lean,Mathlib/Combinatorics/SimpleGraph/LapMatrix.lean,Mathlib/Data/Matrix/Block.lean,Mathlib/Data/Matrix/ConjTranspose.lean,Mathlib/Data/Matrix/Hadamard.lean,Mathlib/Data/Matrix/Mul.lean,Mathlib/Data/Matrix/Notation.lean,Mathlib/Data/Matrix/Reflection.lean,Mathlib/Data/Matrix/RowCol.lean,Mathlib/Data/Matrix/Vec.lean,Mathlib/LinearAlgebra/CrossProduct.lean,Mathlib/LinearAlgebra/Matrix/BilinearForm.lean,Mathlib/LinearAlgebra/Matrix/DotProduct.lean,Mathlib/LinearAlgebra/Matrix/Nondegenerate.lean,Mathlib/LinearAlgebra/Matrix/Orthogonal.lean,Mathlib/LinearAlgebra/Matrix/PosDef.lean,Mathlib/LinearAlgebra/Matrix/SchurComplement.lean,Mathlib/LinearAlgebra/Matrix/SesquilinearForm.lean,Mathlib/LinearAlgebra/Matrix/Trace.lean,Mathlib/LinearAlgebra/PerfectPairing/Matrix.lean,Mathlib/LinearAlgebra/Projectivization/Constructions.lean,Mathlib/Topology/Instances/Matrix.lean |
25 |
6 |
['MoritzBeroRoos', 'eric-wieser', 'github-actions', 'leanprover-community-bot-assistant'] |
nobody |
298-67172 9 months ago |
321-81263 321 days ago |
7-62439 7 days |
| 28148 |
kckennylau author:kckennylau |
feat(Matrix): Simproc and Rw-proc for Matrix Transpose |
Co-authored by Aaron Liu.
```lean
example : !![1, 2, 3; 4, 5, 6]ᵀ = !![1, 4; 2, 5; 3, 6] := by
rw [transpose_of% 2 3]
example : !![1, 2, 3; 4, 5, 6]ᵀ = !![1, 4; 2, 5; 3, 6] := by
rw [transpose_of]
example : !![1, 2, 3; 4, 5, 6]ᵀ = !![1, 4; 2, 5; 3, 6] := by
simp only [matrix_transpose]
```
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-meta
|
267/8 |
Mathlib.lean,Mathlib/Data/Matrix/Notation.lean,Mathlib/LinearAlgebra/UnitaryGroup.lean,Mathlib/Tactic.lean,Mathlib/Tactic/Simproc/Matrix.lean,MathlibTest/Simproc/Matrix.lean,MathlibTest/matrix.lean,scripts/noshake.json |
8 |
32 |
['eric-wieser', 'github-actions', 'kckennylau', 'mathlib4-merge-conflict-bot', 'plp127'] |
eric-wieser assignee:eric-wieser |
294-24106 9 months ago |
294-24107 294 days ago |
12-78143 12 days |
| 26908 |
robin-carlier author:robin-carlier |
feat(CategoryTheory/Monoidal/DayConvolution): alternative ext principle for unitors |
Currently, our infrastructure for left/right unitors for Day convolution of functors `C ⥤ V` do not have satisfactory extensionality principle: the current way to characterize morphisms out of `U ⊛ F` is the default extensionality principle for Day convolution, which characterizes first such functors via functors out of `U ⊠ F`. Left unitors are then obtained using the fact `U ⊠ F` is a left Kan extension of a functor from `PUnit × C` (which is equivalent to `C`) but we did not record on its own this principle.
Using the transitivity of left Kan extensions proved in #26899, we directly exhibit `U ⊛ F` as a left Kan extension of `F ⋙ tensorLeft (𝟙_ V)` along `tensorLeft (𝟙_ C)`. The unit of this Kan extension is composed exactly of the morphisms that appear in the [characterization of left unitors](https://leanprover-community.github.io/mathlib4_docs/Mathlib/CategoryTheory/Monoidal/DayConvolution.html#CategoryTheory.MonoidalCategory.DayConvolutionUnit.leftUnitor_hom_unit_app).
We also slightly generalize the instances that express that external products with unitors are left Kan extensions, so that they can be used when taking external products with more complicated functors than currently. This is again useful when chaining extensionality lemmas for morphisms out of terms of the form `(F ⊛ U) ⊛ G`.
We prove a similar thing for right unitors
With this, it should be possible to have a much more satisfactory way of working with Day convolutions: this allows to "elimiinate" units without ending up with terms in an external product.
---
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- [ ] depends on: #26899
- [ ] depends on: #26906
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-category-theory
|
307/18 |
Mathlib/CategoryTheory/Functor/KanExtension/Basic.lean,Mathlib/CategoryTheory/Monoidal/DayConvolution.lean |
2 |
4 |
['github-actions', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
nobody |
282-70452 9 months ago |
282-70453 282 days ago |
0-1812 30 minutes |
| 27150 |
robin-carlier author:robin-carlier |
feat(CategoryTheory/Monoidal/DayConvolution): constructors for braided and symmetric structure on day convolutions monoidal categories |
Following the pattern in #27119, we give API to construct `BraidedCategory` and `SymmetricCategory` structures on a monoidal
category equipped with a `LawfulDayConvolutionMonoidalCategoryStruct`. To achieve this, we introduce an other type class
`LawfulDayConvolutionBraidedCategoryStruct` that bundles an associator isomorphism that behaves like the one constructed for functors in #27067.
We provide a noncomputable constructor for this typeclass that takes as input fullness of the "realization" functor to a category of functors, and we show that the typeclasses are sufficient to define the desired structures.
---
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|
merge-conflict
t-category-theory
|
826/9 |
Mathlib/CategoryTheory/Monoidal/DayConvolution.lean,Mathlib/CategoryTheory/Monoidal/DayConvolution/Braided.lean |
2 |
5 |
['github-actions', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
nobody |
282-65491 9 months ago |
338-8786 338 days ago |
0-1002 16 minutes |
| 27119 |
robin-carlier author:robin-carlier |
feat(CategoryTheory/Monoidal/DayConvolution): constructors for closed monoidal day convolution monoidal structures |
Following the pattern introduced in #26798 and #26820 and using results of #26879, we introduce a typeclass
`LawfulDayConvolutionClosedMonoidalCategoryStruct` that encodes the data needed on a `LawfulDayConvolutionMonoidalCategoryStruct` to define well-behaved internal homs. We give a constructor assuming existence of relevant ends, and prove that this data defines a `MonoidalClosed` instance on the monoidal category structures one can deduce from `LawfulDayConvolutionMonoidalCategoryStruct`.
---
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|
merge-conflict
t-category-theory
|
900/9 |
Mathlib/CategoryTheory/Monoidal/DayConvolution.lean,Mathlib/CategoryTheory/Monoidal/DayConvolution/Closed.lean |
2 |
6 |
['github-actions', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
nobody |
281-79342 9 months ago |
339-14254 339 days ago |
0-1 1 second |
| 28623 |
gilesgshaw author:gilesgshaw |
feat(Logic/Basic): minor additions and simplification of proofs |
Add new theorems and simplify proofs.
Specifically, we add the family of related theorems `apply_dite_iff_exists`, `apply_dite_iff_forall`, `apply_ite_iff_and` and `apply_ite_iff_or`.
For each other 'family' of theorems in the file that is analogous to the above, we do the following
- Simplify proofs where possible, e.g. by appealing to the new theorems
- Complete the family, if any of the corresponding four are missing
- Rename to ensure consistency with the above pattern
---
|
merge-conflict
t-logic
new-contributor
|
83/55 |
Archive/Examples/IfNormalization/Result.lean,Archive/Examples/IfNormalization/WithoutAesop.lean,Mathlib/Algebra/ContinuedFractions/Computation/Translations.lean,Mathlib/Algebra/MvPolynomial/Variables.lean,Mathlib/Algebra/Notation/Indicator.lean,Mathlib/LinearAlgebra/Matrix/Rank.lean,Mathlib/Logic/Basic.lean,Mathlib/MeasureTheory/Measure/WithDensity.lean,Mathlib/SetTheory/Ordinal/Notation.lean |
9 |
12 |
['eric-wieser', 'gilesgshaw', 'github-actions', 'mathlib4-merge-conflict-bot', 'plp127'] |
awainverse assignee:awainverse |
281-73203 9 months ago |
281-73204 281 days ago |
10-61840 10 days |
| 26154 |
ADedecker author:ADedecker |
refactor: add refactored APIs for algebraic filter bases |
This PR continues the work from #18437.
Original PR: https://github.com/leanprover-community/mathlib4/pull/18437 |
merge-conflict
t-topology
|
651/0 |
Mathlib.lean,Mathlib/Topology/Algebra/FilterBasis.lean,Mathlib/Topology/Algebra/FilterBasisNew.lean,Mathlib/Topology/Algebra/Nonarchimedean/Bases.lean,Mathlib/Topology/Algebra/Nonarchimedean/BasesNew.lean |
5 |
3 |
['ADedecker', 'github-actions', 'mathlib4-merge-conflict-bot'] |
PatrickMassot assignee:PatrickMassot |
275-85447 9 months ago |
275-85448 275 days ago |
87-79752 87 days |
| 29330 |
plp127 author:plp127 |
chore: define `Fin.cycleIcc` with conditions |
Redefine `Fin.cycleIcc` using conditionals instead of composing existing `Fin` operations together. Its worst-case runtime drops from O(n) to O(1). As a bonus, the definition no longer needs explaining.
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|
merge-conflict
t-group-theory
|
61/68 |
Mathlib/GroupTheory/Perm/Fin.lean |
1 |
10 |
['JovanGerb', 'eric-wieser', 'github-actions', 'mathlib4-merge-conflict-bot', 'plp127', 'tb65536'] |
nobody |
267-10644 8 months ago |
267-10645 267 days ago |
20-3817 20 days |
| 21950 |
erdOne author:erdOne |
feat(NumberTheory/Padics): the completion of `ℚ` at a finite place is `ℚ_[p]` |
---
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|
merge-conflict
t-number-theory
|
253/1 |
Mathlib.lean,Mathlib/Algebra/GroupWithZero/WithZero.lean,Mathlib/NumberTheory/Padics/HeightOneSpectrum.lean,Mathlib/NumberTheory/Padics/PadicNumbers.lean,Mathlib/Topology/Algebra/Valued/WithVal.lean,Mathlib/Topology/Algebra/WithZeroMulInt.lean,Mathlib/Topology/Algebra/WithZeroTopology.lean |
7 |
33 |
['Ruben-VandeVelde', 'erdOne', 'faenuccio', 'github-actions', 'leanprover-community-bot-assistant', 'pechersky', 'smmercuri', 'xroblot'] |
nobody |
264-72154 8 months ago |
345-72091 345 days ago |
73-10873 73 days |
| 27214 |
robin-carlier author:robin-carlier |
feat(CategoryTheory/Limits/Shapes/Pullback/Categorical): Categorical pullback squares |
In this PR, we give the definition and first basic properties of categorical pullback squares.
Using our previous work on `CategoricalPullback`, we define a typeclass `CatPullbackSquare T L R B` that asserts that a given `CatCommSq T L R B` is a "pullback square": this is the data of a chosen adjoint equivalence to the canonical functor from the top left corner of the square to the categorical pulback of its leg. Using this equivalence, be derive a universal property for functors from `X`with values in the top left corner of the square: they are equivalent to `CatCommSqOver R B X`, the category of categorical commutative squares over the cospan `R, B` with top left corner `X`.
We prove some coherence result for this equivalence, most notably an isomorphism that, given `S : CatCommSqOver R B X`, bundles the two commutative triangles formed by the induced functor, and the coherence between the squares that these isomorphisms satisfy: this is conveniently bundled in the data of a single isomorphisms of `CatCommSqOver R B X`.
Finally, we provide a `Prop`-class `IsCatPullbackSquare` that merely asserts the existence (via `Nonempty`) of the relevant data: we show that it is tautotogically equivalent to the propopsition that the canonical functor to the categorical pullback is an equivalence.
---
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|
merge-conflict
t-category-theory
|
786/1 |
Mathlib.lean,Mathlib/CategoryTheory/Limits/Shapes/Pullback/Categorical/Basic.lean,Mathlib/CategoryTheory/Limits/Shapes/Pullback/Categorical/Square.lean |
3 |
3 |
['github-actions', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
nobody |
261-62236 8 months ago |
261-62237 261 days ago |
0-4464 1 hour |
| 26466 |
robin-carlier author:robin-carlier |
feat(AlgebraicTopology/SimplexCategory/Augmented): the canonical monoid object in the augmented simplex category |
Show that in the augmented simplex category, `⦋0⦌` is an internal monoid object.
Future work will show that this is in fact the universal monoid object: for any monoidal category `C`, evaluation at `⦋0⦌` induces an equivalence of categories between `Mon_ C` and the category of monoidal functors from `AugmentedSimplexCategory` to `C`. The resulting augmented cosimplicial object one gets from this construction is sometimes called the "monoidal bar construction" attached to a monoid.
This PR was split from #25743.
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|
merge-conflict
t-algebraic-topology
t-category-theory
|
571/111 |
Mathlib.lean,Mathlib/AlgebraicTopology/SimplexCategory/Augmented.lean,Mathlib/AlgebraicTopology/SimplexCategory/Augmented/Basic.lean,Mathlib/AlgebraicTopology/SimplexCategory/Augmented/Mon_.lean,Mathlib/AlgebraicTopology/SimplexCategory/Augmented/Monoidal.lean,Mathlib/AlgebraicTopology/SimplexCategory/Basic.lean |
6 |
4 |
['github-actions', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
nobody |
260-81638 8 months ago |
356-2522 356 days ago |
0-1708 28 minutes |
| 26578 |
robin-carlier author:robin-carlier |
feat(CategoryTheory/Limits/Pullbacks/Categorical/CatCospanTransform): adjunctions of categorical cospans |
We build upon the bicategory-like structure developed in #26447 and #26412 to define the notion of adjunctions of categorical cospans. This is a structure encoding the data of two `CatCospanTransform`s, along with the usual unit and counit morphisms as part of the data, satisfying the usual left and right triangle identities. We provide basic API for these, such as extracting adjunctions between individual components. We also provide a proof that the notion satisfies a "coherence": with our chosen constructor, the forward direction of the structure `CatCommSq` on the left adjoints correspond to the inverse of the square for the right adjoints through `mateEquiv`.
These adjunctions will be used as a substrate for defining equivalences of categorical cospans in a future PR: such an equivalence will be a structure extending a `CatCospanAdjunction` with isomorphisms data on the unit and co-unit (we will however provide alternative constructors in sync with the constructor for equivalences of categories).
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-category-theory
large-import
|
205/0 |
Mathlib/CategoryTheory/Limits/Shapes/Pullback/Categorical/CatCospanTransform.lean |
1 |
5 |
['github-actions', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
nobody |
259-84863 8 months ago |
352-7635 352 days ago |
0-625 10 minutes |
| 23621 |
astrainfinita author:astrainfinita |
chore: deprecate `LinearOrderedComm{Monoid, Group}WithZero` |
---
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- [x] depends on: #20676
|
merge-conflict
t-algebra
t-order
label:t-algebra$ |
261/205 |
Archive/Imo/Imo1998Q2.lean,Counterexamples/LinearOrderWithPosMulPosEqZero.lean,Mathlib/Algebra/Order/Field/Canonical.lean,Mathlib/Algebra/Order/Field/Rat.lean,Mathlib/Algebra/Order/Floor/Ring.lean,Mathlib/Algebra/Order/GroupWithZero/Canonical.lean,Mathlib/Algebra/Order/GroupWithZero/Finset.lean,Mathlib/Algebra/Order/Hom/Monoid.lean,Mathlib/Algebra/Order/Nonneg/Field.lean,Mathlib/Algebra/Order/Nonneg/Ring.lean,Mathlib/Algebra/Order/Ring/Nat.lean,Mathlib/Combinatorics/Additive/PluenneckeRuzsa.lean,Mathlib/Combinatorics/SimpleGraph/Triangle/Basic.lean,Mathlib/Data/ENNReal/Basic.lean,Mathlib/Data/NNRat/Lemmas.lean,Mathlib/Data/NNReal/Defs.lean,Mathlib/Data/Rat/Cast/Order.lean,Mathlib/FieldTheory/IntermediateField/Adjoin/Defs.lean,Mathlib/FieldTheory/RatFunc/AsPolynomial.lean,Mathlib/GroupTheory/ArchimedeanDensely.lean,Mathlib/NumberTheory/EllipticDivisibilitySequence.lean,Mathlib/NumberTheory/FunctionField.lean,Mathlib/NumberTheory/Ostrowski.lean,Mathlib/RingTheory/Valuation/Archimedean.lean,Mathlib/RingTheory/Valuation/Basic.lean,Mathlib/RingTheory/Valuation/ExtendToLocalization.lean,Mathlib/RingTheory/Valuation/Integers.lean,Mathlib/RingTheory/Valuation/Integral.lean,Mathlib/RingTheory/Valuation/Minpoly.lean,Mathlib/RingTheory/Valuation/Quotient.lean,Mathlib/RingTheory/Valuation/RankOne.lean,Mathlib/RingTheory/Valuation/ValExtension.lean,Mathlib/RingTheory/Valuation/ValuationRing.lean,Mathlib/RingTheory/Valuation/ValuationSubring.lean,Mathlib/SetTheory/Cardinal/Order.lean,Mathlib/Topology/Algebra/Valued/LocallyCompact.lean,Mathlib/Topology/Algebra/Valued/NormedValued.lean,Mathlib/Topology/Algebra/Valued/ValuationTopology.lean,Mathlib/Topology/Algebra/Valued/ValuedField.lean,Mathlib/Topology/Algebra/Valued/WithVal.lean,Mathlib/Topology/Algebra/WithZeroTopology.lean,Mathlib/Topology/UnitInterval.lean,MathlibTest/instance_diamonds.lean,scripts/noshake.json |
44 |
24 |
['YaelDillies', 'astrainfinita', 'github-actions', 'grunweg', 'leanprover-bot', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot'] |
kbuzzard assignee:kbuzzard |
256-66578 8 months ago |
427-38951 427 days ago |
5-42380 5 days |
| 27990 |
kckennylau author:kckennylau |
feat(Counterexamples): a nontrivial valuation with discrete topology |
This file constructs a valuation on `K[X]` satisfying `IsValuativeTopology K[X] ∧ Nonempty (valuation K[X]).RankOne ∧ IsNontrivial K[X] ∧ DiscreteTopology K[X]`, and proves that `IsValuativeTopology F ∧ IsNontrivial F ∧ DiscreteTopology F` is not possible if `F` is a field.
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-ring-theory
|
172/0 |
Counterexamples.lean,Counterexamples/DiscreteTopologyWithNontrivialValuation.lean |
2 |
14 |
['github-actions', 'grunweg', 'kckennylau', 'mathlib4-merge-conflict-bot', 'pechersky'] |
nobody |
248-68709 8 months ago |
248-68710 248 days ago |
67-79609 67 days |
| 28132 |
dupuisf author:dupuisf |
feat: preliminary `grind` tags for `IsUnit` |
This PR adds preliminary `grind` tags for the `IsUnit` predicate.
---
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merge-conflict
t-algebra
label:t-algebra$ |
61/17 |
Mathlib/Algebra/Group/Action/Units.lean,Mathlib/Algebra/Group/Units/Defs.lean,Mathlib/Algebra/GroupWithZero/Units/Basic.lean,Mathlib/Algebra/Ring/Units.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Order.lean,Mathlib/Analysis/SpecialFunctions/ContinuousFunctionalCalculus/Rpow/Basic.lean |
6 |
3 |
['github-actions', 'mathlib4-merge-conflict-bot'] |
kim-em assignee:kim-em |
225-45307 7 months ago |
225-45308 225 days ago |
80-71575 80 days |
| 26827 |
pechersky author:pechersky |
feat(Analysis/Normed/ValuativeRel): helper instance for NormedField |
---
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- [x] depends on: #26713
- [x] depends on: #26826
|
merge-conflict
t-algebra
t-number-theory
t-analysis
label:t-algebra$ |
211/27 |
Mathlib.lean,Mathlib/Analysis/Normed/ValuativeRel.lean,Mathlib/Topology/Algebra/Valued/ValuativeRel.lean |
3 |
34 |
['ADedecker', 'adamtopaz', 'erdOne', 'github-actions', 'kbuzzard', 'kckennylau', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot', 'pechersky'] |
kbuzzard assignee:kbuzzard |
217-73911 7 months ago |
217-73911 217 days ago |
122-64394 122 days |
| 22662 |
plp127 author:plp127 |
feat: Localization.Away.lift (computably) |
This PR adds `Localization.Away.lift'` and `Localization.Away.lift`, computable alternatives to `Localization.awayLift`.
---
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|
merge-conflict
t-algebra
label:t-algebra$ |
74/0 |
Mathlib/RingTheory/Localization/Away/Basic.lean |
1 |
18 |
['eric-wieser', 'github-actions', 'grunweg', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot', 'plp127', 'vihdzp'] |
kim-em assignee:kim-em |
211-10170 6 months ago |
211-10171 211 days ago |
257-28368 257 days |
| 24850 |
pechersky author:pechersky |
feat(Topology/UniformSpace/Ultra): uniform spaces induced by pseudometrics are ultra if system is ultra |
Any uniform space has a natural system of pseudometrics definable on it,
comprised of those pseudometrics constructed from a descending chain of
equivalence relation entourages. In a nonarchimedean uniformity, this pseudometric system
induces the uniformity.
---
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- [x] depends on: #23111 |
merge-conflict
t-topology
|
509/1 |
Mathlib.lean,Mathlib/Topology/MetricSpace/BundledFun.lean,Mathlib/Topology/UniformSpace/Ultra/Pseudometrizable.lean |
3 |
9 |
['ADedecker', 'fpvandoorn', 'github-actions', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot', 'pechersky'] |
urkud assignee:urkud |
211-9998 6 months ago |
211-9999 211 days ago |
177-43034 177 days |
| 26914 |
quangvdao author:quangvdao |
feat(Data/PFunctor/Univariate): more definitions for univariate `PFunctor` |
This PR defines several basic definitions of `PFunctor`, including zero, one, constants, monomials, coproduct (sum), product, sigma, pi, tensor product, universe lifting, and equivalence.
We also add: (1) simple lemmas connecting the basic definitions, (2) an automatically derived ext lemma for `PFunctor` via `@[ext]` attribute
Some things I'm not clear on:
- I define `HAdd` and `HMul` instances for coproduct and product of poly functors having different universe levels. Should I also define `Add` and `Mul` instances for poly functors having the same universe level?
- Is it ok to define notation for tensor product, i.e. `@[inherit_doc] scoped infixr:80 " ⊗ " => tensor`? I'm worried it might clash with other notation.
- Need a double-check on the priority of notation.
Some future definitions to add:
- Various equivalences arising from arithmetic identities, e.g., `P + 0 ≃ₚ P`.
- Definitions of Lenses and Charts (each of them will be a file or even a folder)
- Exponential objects (corresponding to both `prod` and `tensor`)
---
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|
merge-conflict
t-data
|
144/5 |
Mathlib/Data/PFunctor/Univariate/Basic.lean |
1 |
20 |
['alexkeizer', 'eric-wieser', 'github-actions', 'mathlib4-merge-conflict-bot', 'quangvdao'] |
eric-wieser assignee:eric-wieser |
211-9476 6 months ago |
211-9477 211 days ago |
133-23955 133 days |
| 28125 |
nonisomorphiclinearmap author:nonisomorphiclinearmap |
feat(Combinatorics): basic definition of simplicial complexes |
This PR introduces the basic definition of a finite (abstract) simplicial complex, located in Mathlib/Combinatorics/SimplicialComplex/Basic.lean.
---
This is our first contribution to mathlib. This work was done as part of the Fields Institute Summer Undergraduate Program on formalization in topological combinatorics. Eventually, we aim to formalize Lovasz's proof of the Kneser Conjecture and this is a small stepping stone in that direction. Some other commits will shortly depend on this one.
We would like to acknowledge the Fields Institute for Research in Mathematical Sciences for their sponsorship. We would also like to thank our supervisors, Professor Chris Kapulkin and Mr. Daniel Carranza, for their guidance and support throughout this project. We would also like to thank our group members Tom Lindquist and Quang Minh Nguyen for our fruitful discussions. |
merge-conflict
t-combinatorics
new-contributor
|
374/0 |
Mathlib.lean,Mathlib/Combinatorics/SimplicialComplex/Basic.lean,Mathlib/Combinatorics/SimplicialComplex/Category.lean,Mathlib/Combinatorics/SimplicialComplex/FacePoset.lean,Mathlib/Combinatorics/SimplicialComplex/Hom.lean |
5 |
2 |
['github-actions', 'mathlib4-merge-conflict-bot'] |
awainverse assignee:awainverse |
211-9171 6 months ago |
211-9172 211 days ago |
99-64548 99 days |
| 28871 |
JaafarTanoukhi author:JaafarTanoukhi |
feat(Combinatorics/Digraph): Tournaments |
Define orientations and tournaments. Related to #26771.
Co-authored-by: Rida Hamadani <mridahamadani@gmail.com>
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-combinatorics
new-contributor
|
62/0 |
Mathlib.lean,Mathlib/Combinatorics/Digraph/Orientation.lean,Mathlib/Combinatorics/Digraph/Tournament.lean |
3 |
6 |
['JaafarTanoukhi', 'Rida-Hamadani', 'SnirBroshi', 'github-actions', 'mathlib4-merge-conflict-bot'] |
kmill assignee:kmill |
211-9018 6 months ago |
211-9019 211 days ago |
86-44787 86 days |
| 29526 |
llllvvuu author:llllvvuu |
feat: `Multiset.map f` identifies `f` up to permutation |
Motivation: Reason about `Fintype`-indexed families via `Multiset` equality.
Example use case 1:
```lean
theorem Matrix.IsHermitian.cfc_eigenvalues {d : Type*} [Fintype d] [DecidableEq d]
{M : Matrix d d 𝕜} (hM : M.IsHermitian) (f : ℝ → ℝ)
(hcfc : Matrix.IsHermitian (cfc f M) := cfc_predicate f M) :
∃ (e : d ≃ d), hcfc.eigenvalues = f ∘ hM.eigenvalues ∘ e := by
have := hcfc.roots_charpoly_eq_eigenvalues.symm
rw [hM.charpoly_cfc_eq f, Polynomial.roots_prod] at this; swap
· simp [Finset.prod_ne_zero_iff, Polynomial.X_sub_C_ne_zero]
simp_rw [Polynomial.roots_X_sub_C, Multiset.bind_singleton] at this
have he := (Multiset.compTriple_equivOfMapUnivEq this).comp_eq
simp_rw [← Function.comp_def RCLike.ofReal, ← Function.comp_def f, Function.comp_assoc] at he
exact ⟨_, RCLike.ofReal_injective.comp_left he.symm⟩
```
Example use case 2 (on top of https://github.com/leanprover-community/mathlib4/pull/29610):
```lean
theorem LinearMap.Eigenbasis.μ_equiv {ι ι' R G : Type*} [Fintype ι] [Fintype ι']
[CommRing R] [IsDomain R] [AddCommGroup G] [Module R G] [Module.Free R G] [Module.Finite R G]
{f : Module.End R G} (B₁ : f.Eigenbasis ι) (B₂ : f.Eigenbasis ι') :
∃ e : ι ≃ ι', B₁.μ = B₂.μ ∘ e := by
classical
have := congr(Polynomial.roots $(B₁.charpoly_eq.symm.trans B₂.charpoly_eq))
rw [Polynomial.roots_prod, Polynomial.roots_prod] at this; rotate_left
· simp [Finset.prod_ne_zero_iff, Polynomial.X_sub_C_ne_zero]
· simp [Finset.prod_ne_zero_iff, Polynomial.X_sub_C_ne_zero]
simp_rw [Polynomial.roots_X_sub_C, Multiset.bind_singleton] at this
exact ⟨Multiset.equivOfMapUnivEq this, (Multiset.compTriple_equivOfMapUnivEq this).comp_eq.symm⟩
```
Co-authored-by: Aristotle Harmonic <aristotle-harmonic@harmonic.fun>
---
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|
merge-conflict
t-data
|
35/0 |
Mathlib/Data/Multiset/Fintype.lean |
1 |
9 |
['Ruben-VandeVelde', 'github-actions', 'llllvvuu', 'mathlib4-merge-conflict-bot', 'vihdzp', 'wwylele'] |
pechersky assignee:pechersky |
211-8980 6 months ago |
211-8981 211 days ago |
69-23034 69 days |
| 29947 |
JaafarTanoukhi author:JaafarTanoukhi |
feat(Combinatorics/Digraph): Maps |
Ported `SimpleGraph/Maps.lean` to `Digraph/Maps.lean` for future PRs related to issue #[26771](https://github.com/leanprover-community/mathlib4/issues/26771)
---
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|
merge-conflict
t-combinatorics
new-contributor
|
476/0 |
Mathlib.lean,Mathlib/Combinatorics/Digraph/Maps.lean |
2 |
2 |
['github-actions', 'mathlib4-merge-conflict-bot'] |
awainverse assignee:awainverse |
211-8384 6 months ago |
211-8385 211 days ago |
54-82760 54 days |
| 31356 |
adomani author:adomani |
feat: add inspect-like functions |
Produces a tree-like formatting for `Syntax`, `Expr` and `InfoTree`. Especially for the `InfoTree`s, there are *many* parts of it that do not get printed.
For instance, this is how the `InfoTree`s of `set_option linter.missingDocs true` get printed:
```lean
inspectIT
set_option linter.missingDocs true
/-
commandCtx
|-Info.ofCommandInfo: Lean.Elab.Command.elabSetOption, 'set_option…gDocs true'
| |-Info.ofCompletionInfo.CompletionInfo.option 'set_option…issingDocs'
| |-Info.ofOptionInfo: linter.missingDocs, Linter.linter.missingDocs
-/
```
---
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merge-conflict
t-meta
|
720/0 |
Mathlib.lean,Mathlib/Util/Inspect.lean,MathlibTest/Inspect.lean |
3 |
3 |
['github-actions', 'mathlib4-merge-conflict-bot', 'plp127'] |
kim-em assignee:kim-em |
211-3405 6 months ago |
211-3406 211 days ago |
11-61697 11 days |
| 6993 |
jjaassoonn author:jjaassoonn |
feat: lemmas about `AddMonoidAlgebra.{divOf, modOf}` |
---
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- [x] depends on: #8975
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebra
label:t-algebra$ |
147/3 |
Mathlib/Algebra/MonoidAlgebra/Division.lean,Mathlib/Data/Finsupp/Basic.lean,Mathlib/Data/MvPolynomial/Basic.lean,Mathlib/Data/MvPolynomial/CommRing.lean,Mathlib/Data/MvPolynomial/Division.lean |
5 |
42 |
['YaelDillies', 'alreadydone', 'digama0', 'eric-wieser', 'github-actions', 'jjaassoonn', 'leanprover-community-mathlib4-bot'] |
nobody |
210-68729 6 months ago |
880-73482 880 days ago |
103-330 103 days |
| 9339 |
FMLJohn author:FMLJohn |
feat(RingTheory/GradedAlgebra/HomogeneousIdeal): given a finitely generated homogeneous ideal of a graded semiring, construct a finite spanning set for the ideal which only contains homogeneous elements |
---
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- [ ] depends on: #8187
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-ring-theory
|
402/4 |
Mathlib.lean,Mathlib/Algebra/DirectSum/Internal.lean,Mathlib/Algebra/GradedMonoid.lean,Mathlib/Algebra/Module/GradeZeroModule.lean,Mathlib/RingTheory/Finiteness.lean,Mathlib/RingTheory/GradedAlgebra/Basic.lean,Mathlib/RingTheory/GradedAlgebra/HomogeneousIdeal.lean,Mathlib/RingTheory/GradedAlgebra/Noetherian.lean |
8 |
11 |
['FMLJohn', 'github-actions', 'jjaassoonn', 'leanprover-community-mathlib4-bot'] |
nobody |
210-68682 6 months ago |
894-73660 894 days ago |
6-63597 6 days |
| 10349 |
Shamrock-Frost author:Shamrock-Frost |
refactor(CategoryTheory/MorphismProperty): some clean-ups |
We make explicit some of the galois connections/closure operators in the existing MorphismProperty file, rewrite some proofs to take advantage of these structures, and change map/inverseImage by (1) swapping their argument order, for consistency with Set.range and Set.preimage and (2) making "map" perform the strict, evil map while "essMap" (previously called map) forms the closure of the image under isomorphisms. Finally we add `IsMultiplicative` instances for isos/epis/monos, with an eye towards constructing the wide subcategory on these classes of maps.
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merge-conflict
t-category-theory
|
474/318 |
Mathlib/CategoryTheory/Localization/Composition.lean,Mathlib/CategoryTheory/Localization/LocalizerMorphism.lean,Mathlib/CategoryTheory/MorphismProperty.lean,Mathlib/Data/Set/Lattice.lean,Mathlib/Order/Closure.lean,Mathlib/Order/Hom/Basic.lean,Mathlib/Order/Hom/CompleteLattice.lean,Mathlib/Order/RelIso/Basic.lean |
8 |
1 |
['leanprover-community-mathlib4-bot'] |
nobody |
210-68640 6 months ago |
861-37384 861 days ago |
0-418 6 minutes |
| 26890 |
robin-carlier author:robin-carlier |
feat(CategoryTheory/Monoidal/DayConvolution): more API for `DayFunctor` |
We provide some lemmas that helps characterizing the monoidal structure on `DayFunctor`, they are special cases of the lemmas for `LawfulDayConvolutionMonoidalCategoryStruct`.
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|
merge-conflict
t-category-theory
|
1372/19 |
Mathlib.lean,Mathlib/CategoryTheory/Functor/KanExtension/Basic.lean,Mathlib/CategoryTheory/Monoidal/DayConvolution.lean,Mathlib/CategoryTheory/Monoidal/DayConvolution/DayFunctor.lean |
4 |
5 |
['github-actions', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
nobody |
210-68032 6 months ago |
345-6641 345 days ago |
0-517 8 minutes |
| 24016 |
plp127 author:plp127 |
feat: fine uniformity |
Adds the fine uniformity, and proves some properties.
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|
merge-conflict
t-topology
|
283/0 |
Mathlib.lean,Mathlib/Topology/UniformSpace/FineUniformity.lean,Mathlib/Topology/UniformSpace/Uniformizable.lean |
3 |
3 |
['github-actions', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
nobody |
205-28399 6 months ago |
427-37149 427 days ago |
2-85308 2 days |
| 26912 |
pechersky author:pechersky |
chore(Algebra/Ring/Subring): simp tag `Subring.smul_def` |
s-multiplying by a subtype is easiest to manipulate when both terms are in the ambient type. Many places that had to use the _def lemma for a rewrite, or to include it in a simp set, no longer have to.
Ported from #25308
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I found this being not-simp frustrating when talking about submodules over a valuation subring. |
merge-conflict
t-algebra
label:t-algebra$ |
67/66 |
Mathlib/Algebra/Algebra/Subalgebra/Basic.lean,Mathlib/Algebra/Field/Subfield/Basic.lean,Mathlib/Algebra/Group/Subgroup/Actions.lean,Mathlib/Algebra/Group/Submonoid/MulAction.lean,Mathlib/Algebra/Module/LocalizedModule/Basic.lean,Mathlib/Algebra/Module/LocalizedModule/Exact.lean,Mathlib/Algebra/Module/LocalizedModule/IsLocalization.lean,Mathlib/Algebra/Module/LocalizedModule/Submodule.lean,Mathlib/Algebra/Ring/Periodic.lean,Mathlib/Algebra/Ring/Subring/Basic.lean,Mathlib/Algebra/Ring/Subsemiring/Basic.lean,Mathlib/Analysis/CStarAlgebra/Basic.lean,Mathlib/FieldTheory/KummerExtension.lean,Mathlib/GroupTheory/GroupAction/Defs.lean,Mathlib/GroupTheory/GroupAction/MultiplePrimitivity.lean,Mathlib/GroupTheory/GroupAction/MultipleTransitivity.lean,Mathlib/GroupTheory/GroupAction/SubMulAction/OfFixingSubgroup.lean,Mathlib/GroupTheory/GroupAction/SubMulAction/OfStabilizer.lean,Mathlib/LinearAlgebra/RootSystem/Irreducible.lean,Mathlib/LinearAlgebra/RootSystem/WeylGroup.lean,Mathlib/RingTheory/Etale/Kaehler.lean,Mathlib/RingTheory/Ideal/Over.lean,Mathlib/RingTheory/LocalProperties/Projective.lean,Mathlib/RingTheory/Localization/InvSubmonoid.lean,Mathlib/RingTheory/OreLocalization/Basic.lean |
25 |
26 |
['artie2000', 'eric-wieser', 'github-actions', 'j-loreaux', 'kckennylau', 'leanprover-bot', 'leanprover-radar', 'linesthatinterlace', 'mathlib4-merge-conflict-bot', 'pechersky'] |
joelriou assignee:joelriou |
184-41183 6 months ago |
205-77132 205 days ago |
63-23787 63 days |
| 33434 |
astrainfinita author:astrainfinita |
chore: redefine `Finsupp.indicator` using `Finsupp.onFinset` |
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t-data
merge-conflict
|
6/17 |
Mathlib/Data/Finsupp/Indicator.lean |
1 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
161-74122 5 months ago |
69-51278 69 days ago |
5-35275 5 days |
| 29587 |
uniwuni author:uniwuni |
feat(GroupTheory/Finiteness): define finitely generated semigroups |
We define finitely generated semigroups and basics similarly to monoids and groups and prove that semigroups and monoids remain finitely generated when a congruence is quotiented out. This will be important when further developing semigroup theory.
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|
merge-conflict
t-group-theory
|
259/14 |
Mathlib/Algebra/Group/Submonoid/Defs.lean,Mathlib/GroupTheory/Finiteness.lean |
2 |
4 |
['github-actions', 'mathlib4-merge-conflict-bot', 'plp127', 'uniwuni'] |
dupuisf assignee:dupuisf |
150-83604 4 months ago |
253-2108 253 days ago |
25-78230 25 days |
| 29014 |
ShreckYe author:ShreckYe |
feat(Data/List/Scan): some theorems that relate `scanl` with `foldl` |
I am not sure which is the best form of `getElem_scanl_eq_foldl_take` here, so I added several alternative forms. Feel free to remove any of them if necessary. |
merge-conflict
t-data
|
35/0 |
Mathlib/Data/List/Scan.lean |
1 |
15 |
['ShreckYe', 'github-actions', 'mathlib4-merge-conflict-bot', 'themathqueen', 'vlad902'] |
pechersky assignee:pechersky |
146-62828 4 months ago |
220-27873 220 days ago |
74-59834 74 days |
| 9820 |
jjaassoonn author:jjaassoonn |
feat(RingTheory/GradedAlgebra/HomogeneousIdeal): generalize to homogeneous submodule |
The definitions, constructions and theorems in `HomogeneousIdeal.lean` are generalized to a homogeneous submodules.
So say $R$ is a ring and $M \cong \bigoplus_{i} M_i$ is an $R$-module. Then a homogeneous $R$-submodule of $M$ is an $R$-submodule $N$ such that for all $i$ and $n \in N$, $n_i \in N$. Note that this notion doesn't actually require $R$ to be graded and $M$ is a graded module. But for more interesting lemmas, we do need that $M$ is graded $R$-module. We bake the fact $R$ is graded into the definition of homogeneous submodule, otherwise, `CompleteLattice HomogeneousSubmodule` cannot find the order of synthesis (the proof depends on that $R$ is graded)
All definitions/constructions/theorems have a copy for ideals as well, this is to make sure dot notation still works.
The motivation of this generalization is graded quotient module
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|
merge-conflict
t-ring-theory
|
516/185 |
Mathlib/Algebra/Module/GradedModule.lean,Mathlib/AlgebraicGeometry/ProjectiveSpectrum/Scheme.lean,Mathlib/AlgebraicGeometry/ProjectiveSpectrum/Topology.lean,Mathlib/RingTheory/GradedAlgebra/Homogeneous/Ideal.lean,Mathlib/RingTheory/GradedAlgebra/Homogeneous/Submodule.lean,Mathlib/RingTheory/GradedAlgebra/Radical.lean,scripts/nolints_prime_decls.txt |
7 |
3 |
['github-actions', 'leanprover-community-bot-assistant'] |
nobody |
129-2857 4 months ago |
348-26098 348 days ago |
52-59768 52 days |
| 34931 |
eric-wieser author:eric-wieser |
perf: make TensorProduct.lift irreducible with a unification hint |
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t-algebra
merge-conflict
label:t-algebra$ |
6/2 |
Mathlib/LinearAlgebra/TensorProduct/Basic.lean |
1 |
7 |
['eric-wieser', 'github-actions', 'leanprover-radar', 'mathlib-merge-conflicts'] |
erdOne assignee:erdOne |
125-57277 4 months ago |
125-57278 125 days ago |
5-66655 5 days |
| 33020 |
FormulaRabbit81 author:FormulaRabbit81 |
chore(Topology): Deprecate file |
---
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|
t-topology
large-import
merge-conflict
|
82/49 |
Mathlib/Topology/Compactness/HilbertCubeEmbedding.lean,Mathlib/Topology/MetricSpace/HausdorffAlexandroff.lean,Mathlib/Topology/MetricSpace/PiNat.lean |
3 |
3 |
['github-actions', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
nobody |
123-33888 4 months ago |
182-21277 182 days ago |
0-14835 4 hours |
| 33281 |
michelsol author:michelsol |
feat(Analysis/SpecialFunctions/Integrals): integral of 1/sqrt(1-x^2) and its integrability. |
Add the integral of the derivative of arcsin and its integrability.
---
- [ ] depends on: #33280
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new-contributor
merge-conflict
t-analysis
|
59/0 |
Mathlib/Analysis/SpecialFunctions/Integrability/Basic.lean,Mathlib/Analysis/SpecialFunctions/Integrals/Basic.lean,Mathlib/MeasureTheory/Integral/IntervalIntegral/FundThmCalculus.lean |
3 |
3 |
['github-actions', 'mathlib-dependent-issues', 'mathlib4-merge-conflict-bot'] |
nobody |
123-2682 4 months ago |
174-56907 174 days ago |
0-2872 47 minutes |
| 34156 |
zcyemi author:zcyemi |
feat(Analysis/Convex/Between): add lemmas on convex combination of mem simplex interior |
---
I add three lemmas of convex combinations preserving membership in the interior of a simplex.
And also open a zulip thread [#mathlib4 > Best place for convex combination and simplex interior](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Best.20place.20for.20convex.20combination.20and.20simplex.20interior/with/568558406)
deps:
- [ ] depends on: #33852 |
t-analysis
merge-conflict
|
170/0 |
Mathlib/Analysis/Convex/Between.lean,Mathlib/LinearAlgebra/AffineSpace/Independent.lean |
2 |
3 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
122-64999 4 months ago |
122-64999 122 days ago |
0-3761 1 hour |
| 32918 |
michelsol author:michelsol |
feat: define `supEdist` and `supDist` |
Create a new file Topology.MetricSpace.SupDistance and define the supremal distance in (extended) metric spaces. The defined `supEdist` and `supDist` will have similar theory to the already existing `infEdist` and `infDist`. The motivation is to be able to define the radius of a minimal bounding sphere as the infimum of the supDist later.
[zulip discussion here](https://leanprover.zulipchat.com/#narrow/channel/116395-maths/topic/Formalizing.20Jung's.20theorem.20and.20minimal.20bounding.20spheres) |
t-topology
new-contributor
merge-conflict
|
75/0 |
Mathlib.lean,Mathlib/Topology/MetricSpace/SupDistance.lean |
2 |
5 |
['github-actions', 'mathlib4-merge-conflict-bot', 'michelsol', 'urkud'] |
nobody |
121-59181 4 months ago |
163-51566 163 days ago |
21-3598 21 days |
| 25980 |
Multramate author:Multramate |
refactor(Algebra/Group/Submonoid/Operations): rename restrict to domRestrict and add restrict |
And update the documentation for consistency |
t-group-theory
merge-conflict
|
145/123 |
Mathlib/Algebra/Group/Subgroup/Basic.lean,Mathlib/Algebra/Group/Subgroup/Ker.lean,Mathlib/Algebra/Group/Submonoid/Operations.lean,Mathlib/GroupTheory/FiniteAbelian/Duality.lean,Mathlib/GroupTheory/MonoidLocalization/Basic.lean,Mathlib/GroupTheory/MonoidLocalization/Maps.lean,Mathlib/GroupTheory/MonoidLocalization/MonoidWithZero.lean,Mathlib/GroupTheory/PGroup.lean,Mathlib/GroupTheory/QuotientGroup/Basic.lean,Mathlib/GroupTheory/Transfer.lean,Mathlib/LinearAlgebra/RootSystem/WeylGroup.lean,Mathlib/NumberTheory/NumberField/CMField.lean,Mathlib/NumberTheory/NumberField/Ideal/Basic.lean,Mathlib/RingTheory/Localization/Defs.lean |
14 |
10 |
['Multramate', 'copilot-pull-request-reviewer', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
120-39127 4 months ago |
120-39128 120 days ago |
5-9216 5 days |
| 25981 |
Multramate author:Multramate |
feat(GroupTheory/GroupAction/Basic): define homomorphisms of fixed subgroups induced by homomorphisms of groups |
This PR continues the work from #10126.
Original PR: https://github.com/leanprover-community/mathlib4/pull/10126 |
t-group-theory
large-import
merge-conflict
|
218/144 |
Mathlib/Algebra/Group/Subgroup/Basic.lean,Mathlib/Algebra/Group/Subgroup/Ker.lean,Mathlib/Algebra/Group/Submonoid/Operations.lean,Mathlib/Algebra/Ring/Action/Submonoid.lean,Mathlib/GroupTheory/FiniteAbelian/Duality.lean,Mathlib/GroupTheory/GroupAction/Defs.lean,Mathlib/GroupTheory/MonoidLocalization/Basic.lean,Mathlib/GroupTheory/MonoidLocalization/Maps.lean,Mathlib/GroupTheory/MonoidLocalization/MonoidWithZero.lean,Mathlib/GroupTheory/PGroup.lean,Mathlib/GroupTheory/QuotientGroup/Basic.lean,Mathlib/GroupTheory/Transfer.lean,Mathlib/LinearAlgebra/RootSystem/WeylGroup.lean,Mathlib/NumberTheory/NumberField/CMField.lean,Mathlib/NumberTheory/NumberField/Ideal/Basic.lean,Mathlib/RingTheory/Localization/Defs.lean |
16 |
8 |
['copilot-pull-request-reviewer', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
120-39126 4 months ago |
120-39126 120 days ago |
4-78395 4 days |
| 33795 |
alreadydone author:alreadydone |
feat(Topology/Sheaves): LocalPredicate prerequisite for étalé spaces |
---
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|
t-topology
merge-conflict
|
418/143 |
Mathlib/AlgebraicGeometry/ProjectiveSpectrum/StructureSheaf.lean,Mathlib/Geometry/Manifold/Sheaf/Smooth.lean,Mathlib/Logic/Equiv/Basic.lean,Mathlib/Topology/Sheaves/LocalPredicate.lean,Mathlib/Topology/Sheaves/Sheafify.lean,Mathlib/Topology/Sheaves/Stalks.lean |
6 |
12 |
['adamtopaz', 'alreadydone', 'dagurtomas', 'github-actions', 'mathlib-merge-conflicts'] |
adamtopaz assignee:adamtopaz |
120-16760 4 months ago |
120-16761 120 days ago |
34-21636 34 days |
| 34674 |
Citronhat author:Citronhat |
feat(Algebra/Order/Ring): replace ENNReal lemmas with WithTop versions |
* Add `WithTop` versions of basic multiplicative order lemmas.
* Use the new `WithTop` lemmas to replace `ENNReal` proofs and address six TODOs.
* Fix a typo in the `pos_of_ne_zero` alias name. |
new-contributor
t-algebra
merge-conflict
label:t-algebra$ |
46/15 |
Mathlib/Algebra/Order/Monoid/Canonical/Defs.lean,Mathlib/Algebra/Order/Ring/WithTop.lean,Mathlib/Data/ENNReal/Operations.lean |
3 |
5 |
['Citronhat', 'Ruben-VandeVelde', 'github-actions', 'mathlib-merge-conflicts'] |
Ruben-VandeVelde assignee:Ruben-VandeVelde |
119-83030 3 months ago |
119-83031 119 days ago |
17-1225 17 days |
| 33746 |
ster-oc author:ster-oc |
feat(Algebra/Module/ZLattice): align `ZSpan.floor` to `Int.floor` API |
This PR adds some of the existent lemmas about `Int.floor`, `Int.ceil` and `Int.fract` to the `ZSpan` namespace.
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|
t-algebra
new-contributor
merge-conflict
label:t-algebra$ |
353/145 |
Mathlib/Algebra/Module/ZLattice/Basic.lean,Mathlib/Algebra/Order/Floor/Ring.lean,Mathlib/Topology/Algebra/Order/Floor.lean |
3 |
8 |
['github-actions', 'joelriou', 'mathlib-merge-conflicts', 'ster-oc'] |
joelriou assignee:joelriou |
115-13528 3 months ago |
115-13528 115 days ago |
30-23357 30 days |
| 31595 |
astrainfinita author:astrainfinita |
chore: redefine `Ideal.IsPrime` |
Redefine `Ideal.IsPrime` to make it correct for non-commutative cases
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|
t-algebra
merge-conflict
label:t-algebra$ |
333/100 |
Mathlib/Algebra/Order/Ring/Ordering/Defs.lean,Mathlib/RingTheory/DedekindDomain/Ideal/Lemmas.lean,Mathlib/RingTheory/GradedAlgebra/Radical.lean,Mathlib/RingTheory/Ideal/AssociatedPrime/Basic.lean,Mathlib/RingTheory/Ideal/Maps.lean,Mathlib/RingTheory/Ideal/Maximal.lean,Mathlib/RingTheory/Ideal/MinimalPrime/Noetherian.lean,Mathlib/RingTheory/Ideal/Oka.lean,Mathlib/RingTheory/Ideal/Operations.lean,Mathlib/RingTheory/Ideal/Over.lean,Mathlib/RingTheory/Ideal/Pointwise.lean,Mathlib/RingTheory/Ideal/Prime.lean,Mathlib/RingTheory/Ideal/Prod.lean,Mathlib/RingTheory/Ideal/Quotient/Basic.lean,Mathlib/RingTheory/Ideal/Quotient/Operations.lean,Mathlib/RingTheory/IsPrimary.lean,Mathlib/RingTheory/Localization/AtPrime/Basic.lean,Mathlib/RingTheory/Localization/Ideal.lean,Mathlib/RingTheory/Polynomial/Basic.lean,Mathlib/RingTheory/PrincipalIdealDomain.lean,Mathlib/RingTheory/Spectrum/Prime/Topology.lean,Mathlib/RingTheory/Valuation/Basic.lean |
22 |
33 |
['alreadydone', 'artie2000', 'astrainfinita', 'erdOne', 'github-actions', 'leanprover-bot', 'leanprover-radar', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot'] |
kim-em assignee:kim-em |
112-23090 3 months ago |
81-19746 81 days ago |
59-66521 59 days |
| 33791 |
PhoenixIra author:PhoenixIra |
feat: Generalization of FixedPointApproximants to CompletePartialOrder |
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This PR provides a generalization of FixedPointApproximants to CompletePartialOrder. Not every theorem can be generalized, as sometimes we require additional conditions (namely `x ≤ f x`) in order to guarantee that the set is directed and thus the supremum is well-defined. This is not necessary in a CompleteLattice.
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-order
merge-conflict
|
223/100 |
Mathlib/Order/CompletePartialOrder.lean,Mathlib/SetTheory/Ordinal/FixedPointApproximants.lean |
2 |
21 |
['PhoenixIra', 'github-actions', 'mathlib-merge-conflicts', 'vihdzp'] |
PhoenixIra and vihdzp assignee:PhoenixIra assignee:vihdzp |
110-50262 3 months ago |
110-50262 110 days ago |
44-16098 44 days |
| 26942 |
pechersky author:pechersky |
feat(RingTheory/Valuation/ValueGroupIso): isomorphism of value groups when compatible |
and also to the ValuativeRel's value group
by request from comment in
https://github.com/leanprover-community/mathlib4/pull/26754#issuecomment-3051770901
- [ ] depends on: #26588
---
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- [x] depends on: #26940
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merge-conflict
t-ring-theory
t-order
|
299/3 |
Mathlib.lean,Mathlib/Algebra/GroupWithZero/Range.lean,Mathlib/Algebra/Order/GroupWithZero/Range.lean,Mathlib/Algebra/Order/GroupWithZero/WithZero.lean,Mathlib/Algebra/Order/Monoid/WithTop.lean,Mathlib/RingTheory/Valuation/ValueGroupIso.lean |
6 |
10 |
['faenuccio', 'github-actions', 'mathlib-dependent-issues', 'mathlib4-merge-conflict-bot', 'pechersky'] |
faenuccio assignee:faenuccio |
107-80843 3 months ago |
307-66253 307 days ago |
10-67838 10 days |
| 14712 |
astrainfinita author:astrainfinita |
perf: change instance priority and order about `OfNat` |
---
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|
merge-conflict
slow-typeclass-synthesis
t-algebra
label:t-algebra$ |
49/20 |
Mathlib/Algebra/Group/Nat.lean,Mathlib/Algebra/Group/ZeroOne.lean,Mathlib/Algebra/Homology/Embedding/Basic.lean,Mathlib/Algebra/Tropical/Basic.lean,Mathlib/Data/BitVec.lean,Mathlib/Data/Nat/Cast/Defs.lean,Mathlib/Data/Rat/Defs.lean,Mathlib/Data/UInt.lean,Mathlib/NumberTheory/ArithmeticFunction.lean |
9 |
26 |
['MichaelStollBayreuth', 'astrainfinita', 'eric-wieser', 'fpvandoorn', 'github-actions', 'j-loreaux', 'leanprover-bot', 'mathlib-bors'] |
nobody |
103-79948 3 months ago |
678-58118 678 days ago |
20-15089 20 days |
| 17627 |
hrmacbeth author:hrmacbeth |
feat: universal properties of vector bundle constructions |
Characterizations for the smoothness of maps into the total spaces of (1) the direct sum of two vector bundles; (2) the pullback of a vector bundle.
This gap in the library was exposed by #17358.
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-differential-geometry
|
311/9 |
Mathlib/Data/Bundle.lean,Mathlib/Geometry/Manifold/VectorBundle/Basic.lean,Mathlib/Geometry/Manifold/VectorBundle/Pullback.lean,Mathlib/Topology/FiberBundle/Constructions.lean |
4 |
26 |
['PatrickMassot', 'fpvandoorn', 'github-actions', 'grunweg', 'hrmacbeth', 'j-loreaux', 'leanprover-community-bot-assistant', 'mathlib-bors', 'mathlib4-dependent-issues-bot', 'sgouezel'] |
grunweg assignee:grunweg |
103-79936 3 months ago |
363-79675 363 days ago |
91-68302 91 days |
| 35042 |
JovanGerb author:JovanGerb |
chore: remove `meta` form `import Mathlib.Tactic...` |
This PR cleans up some imports of the form `import Mathlib.Tactic...`, by either removing them entirely, or removing the `meta` keyword. It should never be necessary to `meta import` a file from `Mathlib.Tactic`, because the relevant definitions should already have been marked as `meta`.
The motivation is to reduce the amount of files that are `meta` imported when writing e.g. `import Mathlib`, hence reducing the amount of stuff that needs to be loaded. There are more other `meta import`s that need to be removed, but this PR is a good start.
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large-import
merge-conflict
|
61/142 |
Mathlib/Algebra/BigOperators/Group/Finset/Defs.lean,Mathlib/Algebra/FreeMonoid/Basic.lean,Mathlib/Algebra/Group/Action/Hom.lean,Mathlib/Algebra/Order/Group/Unbundled/Abs.lean,Mathlib/CategoryTheory/Functor/Basic.lean,Mathlib/Data/List/ChainOfFn.lean,Mathlib/Dynamics/OmegaLimit.lean,Mathlib/GroupTheory/GroupAction/Defs.lean,Mathlib/GroupTheory/GroupAction/DomAct/Basic.lean,Mathlib/Tactic/Algebraize.lean,Mathlib/Tactic/ApplyFun.lean,Mathlib/Tactic/ArithMult.lean,Mathlib/Tactic/Bound.lean,Mathlib/Tactic/CategoryTheory/Bicategory/Datatypes.lean,Mathlib/Tactic/CategoryTheory/Bicategory/Normalize.lean,Mathlib/Tactic/CategoryTheory/Bicategory/PureCoherence.lean,Mathlib/Tactic/CategoryTheory/CheckCompositions.lean,Mathlib/Tactic/CategoryTheory/Coherence/Basic.lean,Mathlib/Tactic/CategoryTheory/Coherence/Normalize.lean,Mathlib/Tactic/CategoryTheory/Coherence/PureCoherence.lean,Mathlib/Tactic/CategoryTheory/Elementwise.lean,Mathlib/Tactic/CategoryTheory/Monoidal/Datatypes.lean,Mathlib/Tactic/CategoryTheory/Monoidal/Normalize.lean,Mathlib/Tactic/CategoryTheory/Monoidal/PureCoherence.lean,Mathlib/Tactic/CategoryTheory/ToApp.lean,Mathlib/Tactic/Choose.lean,Mathlib/Tactic/DeclarationNames.lean,Mathlib/Tactic/DefEqTransformations.lean,Mathlib/Tactic/DeriveCountable.lean,Mathlib/Tactic/DeriveFintype.lean,Mathlib/Tactic/DeriveTraversable.lean,Mathlib/Tactic/ENatToNat.lean,Mathlib/Tactic/Explode.lean,Mathlib/Tactic/Explode/Pretty.lean,Mathlib/Tactic/FinCases.lean,Mathlib/Tactic/FunProp.lean,Mathlib/Tactic/FunProp/Attr.lean,Mathlib/Tactic/FunProp/Core.lean,Mathlib/Tactic/FunProp/FunctionData.lean,Mathlib/Tactic/FunProp/Theorems.lean,Mathlib/Tactic/FunProp/Types.lean,Mathlib/Tactic/GCongr/Core.lean,Mathlib/Tactic/GRewrite/Elab.lean,Mathlib/Tactic/Group.lean,Mathlib/Tactic/IrreducibleDef.lean,Mathlib/Tactic/Lift.lean,Mathlib/Tactic/Linarith.lean,Mathlib/Tactic/Linarith/Lemmas.lean,Mathlib/Tactic/Linarith/Oracle/FourierMotzkin.lean,Mathlib/Tactic/Linarith/Oracle/SimplexAlgorithm.lean,Mathlib/Tactic/Linarith/Oracle/SimplexAlgorithm/Gauss.lean,Mathlib/Tactic/Linarith/Oracle/SimplexAlgorithm/SimplexAlgorithm.lean,Mathlib/Tactic/Linarith/Preprocessing.lean,Mathlib/Tactic/Linarith/Verification.lean,Mathlib/Tactic/LinearCombination/Lemmas.lean,Mathlib/Tactic/Linter/DeprecatedSyntaxLinter.lean,Mathlib/Tactic/Linter/DocPrime.lean,Mathlib/Tactic/Linter/DocString.lean,Mathlib/Tactic/Linter/EmptyLine.lean,Mathlib/Tactic/Linter/FlexibleLinter.lean,Mathlib/Tactic/Linter/GlobalAttributeIn.lean,Mathlib/Tactic/Linter/HashCommandLinter.lean,Mathlib/Tactic/Linter/Multigoal.lean,Mathlib/Tactic/Linter/OldObtain.lean,Mathlib/Tactic/Linter/Style.lean,Mathlib/Tactic/Linter/TextBased.lean,Mathlib/Tactic/Linter/TextBased/UnicodeLinter.lean,Mathlib/Tactic/Linter/UnusedTactic.lean,Mathlib/Tactic/Linter/UnusedTacticExtension.lean,Mathlib/Tactic/MinImports.lean,Mathlib/Tactic/MoveAdd.lean,Mathlib/Tactic/Nontriviality/Core.lean,Mathlib/Tactic/NormNum/DivMod.lean,Mathlib/Tactic/NormNum/Ineq.lean,Mathlib/Tactic/NormNum/Prime.lean,Mathlib/Tactic/Order.lean,Mathlib/Tactic/Order/CollectFacts.lean,Mathlib/Tactic/Order/Graph/Tarjan.lean,Mathlib/Tactic/PNatToNat.lean,Mathlib/Tactic/Peel.lean,Mathlib/Tactic/ProdAssoc.lean,Mathlib/Tactic/ProxyType.lean,Mathlib/Tactic/Push.lean,Mathlib/Tactic/Qify.lean,Mathlib/Tactic/RSuffices.lean,Mathlib/Tactic/Ring/Basic.lean,Mathlib/Tactic/Ring/Common.lean,Mathlib/Tactic/Ring/Compare.lean,Mathlib/Tactic/Ring/PNat.lean,Mathlib/Tactic/Simproc/Divisors.lean,Mathlib/Tactic/Simproc/FinsetInterval.lean,Mathlib/Tactic/Simps/Basic.lean,Mathlib/Tactic/Subsingleton.lean,Mathlib/Tactic/TacticAnalysis/Declarations.lean,Mathlib/Tactic/TautoSet.lean,Mathlib/Tactic/Translate/Core.lean,Mathlib/Tactic/Translate/TagUnfoldBoundary.lean,Mathlib/Tactic/Widget/Calc.lean,Mathlib/Tactic/Widget/CommDiag.lean,Mathlib/Tactic/Widget/CongrM.lean |
107 |
9 |
['JovanGerb', 'dupuisf', 'github-actions', 'leanprover-radar', 'mathlib-merge-conflicts'] |
robin-carlier assignee:robin-carlier |
98-69892 3 months ago |
94-6785 94 days ago |
26-69911 26 days |
| 36495 |
AlexKontorovich author:AlexKontorovich |
chore(Finset/NatDivisors): refactor `card_divisors_mul` and `sum_divisors_mul` to not rely on `ArithmeticFunction` |
`Nat.Coprime.card_divisors_mul` and `Nat.Coprime.sum_divisors_mul` are moved to not rely on `ArithmeticFunction`. See zulip discussion here: [#mathlib4 > Library design question, e.g.`Nat.Coprime.card_divisors_mul` @ 💬](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Library.20design.20question.2C.20e.2Eg.2E.60Nat.2ECoprime.2Ecard_divisors_mul.60/near/577769899)
Co-authored-by: Ziyan Wei <zw810@scarletmail.rutgers.edu> and Aayush Rajasekaran <arajasek94@gmail.com>
---
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large-import
t-number-theory
t-algebra
merge-conflict
label:t-algebra$ |
45/14 |
Mathlib/Algebra/GCDMonoid/Basic.lean,Mathlib/Data/Finset/NatDivisors.lean,Mathlib/NumberTheory/ArithmeticFunction/Misc.lean |
3 |
6 |
['AlexKontorovich', 'arajasek', 'github-actions', 'mathlib-merge-conflicts'] |
riccardobrasca assignee:riccardobrasca |
98-53409 3 months ago |
40-49773 40 days ago |
53-21240 53 days |
| 27534 |
PierreQuinton author:PierreQuinton |
feat: a typeclass for `sSup`/`sInf` to be lawful |
Adds lawful infima and suprema type classes.
A preorder with lawful suprema: whenever a set has a least upper bound, `sSup` returns a least upper bound for that set.
A preorder with lawful infima: whenever a set has a greatest lower bound, `sInf` returns a greastest lower bound for that set.
---
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|
merge-conflict
t-order
|
121/8 |
Mathlib.lean,Mathlib/Order/CompleteLattice/Defs.lean,Mathlib/Order/LawfulSupInf.lean |
3 |
26 |
['PierreQuinton', 'YaelDillies', 'github-actions', 'mathlib4-merge-conflict-bot', 'plp127', 'vihdzp'] |
nobody |
95-64639 3 months ago |
211-9314 211 days ago |
114-37921 114 days |
| 37530 |
mcdoll author:mcdoll |
fix(Topology/Algebra): fix bad simps and make arguments implicit for `PointwiseConvergenceCLM` |
We delete all `simps` calls in the definitions of operators on `PointwiseConvergenceCLM` and replace them with `apply_apply` lemmas that do not abuse the defeq between `SLₚₜ` and `SL`. This made the linter discover some typeclass duplications, which we remove by restructuring the file.
As a consequence of the new `simp` lemmas, we can remove all `set_option backward.isDefEq.respectTransparency false in` in `Analysis.Distribution.TemperedDistribution`.
Moreover, we make several arguments implicit, which can be inferred in almost all practical situations.
---
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|
not-ready-to-merge
merge-conflict
|
88/69 |
Mathlib/Analysis/Distribution/TemperedDistribution.lean,Mathlib/Topology/Algebra/Module/Spaces/PointwiseConvergenceCLM.lean |
2 |
5 |
['github-actions', 'jcommelin', 'mathlib-merge-conflicts', 'mcdoll'] |
nobody |
60-13482 1 month ago |
60-13483 60 days ago |
14-59669 14 days |
| 37593 |
IlPreteRosso author:IlPreteRosso |
refactor(Data.Finset.*Antidiagonal): rename set-based defs to `set*Antidiagonal` |
Renames set-based `Finset.mulAntidiagonal` → `setMulAntidiagonal` (and SMul/VAdd variants) to free the `mulAntidiagonal` name for the planned `HasMulAntidiagonal` typeclass. Deprecation aliases added.
Supersedes #34551 |
t-ring-theory
new-contributor
merge-conflict
|
178/96 |
Mathlib/Algebra/Order/Antidiag/Prod.lean,Mathlib/Data/Finset/MulAntidiagonal.lean,Mathlib/Data/Finset/SMulAntidiagonal.lean,Mathlib/RingTheory/HahnSeries/Multiplication.lean,Mathlib/RingTheory/HahnSeries/PowerSeries.lean,Mathlib/RingTheory/HahnSeries/Summable.lean |
6 |
3 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
60-13481 1 month ago |
60-13482 60 days ago |
15-61521 15 days |
| 37444 |
vihdzp author:vihdzp |
feat: typeclass for zero-dimensional spaces |
---
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|
t-topology
large-import
merge-conflict
|
151/110 |
Mathlib/Topology/Algebra/ClopenNhdofOne.lean,Mathlib/Topology/Category/LightProfinite/Basic.lean,Mathlib/Topology/Category/Profinite/Basic.lean,Mathlib/Topology/Category/Profinite/CofilteredLimit.lean,Mathlib/Topology/Category/Stonean/Basic.lean,Mathlib/Topology/ClopenBox.lean,Mathlib/Topology/Order.lean,Mathlib/Topology/Order/WithTop.lean,Mathlib/Topology/Separation/CompletelyRegular.lean,Mathlib/Topology/Separation/DisjointCover.lean,Mathlib/Topology/Separation/Lemmas.lean,Mathlib/Topology/Separation/Profinite.lean,Mathlib/Topology/UniformSpace/Ultra/Basic.lean |
13 |
17 |
['ADedecker', 'FernandoChu', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'vihdzp'] |
nobody |
57-79165 1 month ago |
57-80237 57 days ago |
0-5306 1 hour |
| 38239 |
vihdzp author:vihdzp |
chore(Order/SuccPred/Limit): reorganize sections |
In an effort to keep the file better organized, we move theorems which use `SuccOrder`/`PredOrder` as an assumption to a new section.
No theorems have been changed.
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|
t-order
merge-conflict
|
95/110 |
Mathlib/Order/SuccPred/Limit.lean |
1 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
57-43059 1 month ago |
57-43060 57 days ago |
2-48556 2 days |
| 37461 |
grunweg author:grunweg |
chore: golf using the field tactic |
---
In the spirit of #31314.
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merge-conflict |
32/43 |
Counterexamples/NowhereDifferentiable.lean,Mathlib/Analysis/Calculus/Monotone.lean,Mathlib/Analysis/Complex/BorelCaratheodory.lean,Mathlib/Analysis/MeanInequalities.lean,Mathlib/Analysis/Normed/Field/Lemmas.lean,Mathlib/Analysis/SpecialFunctions/Complex/LogBounds.lean,Mathlib/Analysis/SpecialFunctions/Elliptic/Weierstrass.lean,Mathlib/Analysis/SpecialFunctions/Integrals/Basic.lean,Mathlib/InformationTheory/KullbackLeibler/Basic.lean,Mathlib/LinearAlgebra/Lagrange.lean,Mathlib/MeasureTheory/Integral/MeanValue.lean,Mathlib/NumberTheory/ModularForms/Discriminant.lean,Mathlib/NumberTheory/ModularForms/EisensteinSeries/E2/Defs.lean,Mathlib/NumberTheory/ModularForms/EisensteinSeries/E2/MDifferentiable.lean,Mathlib/NumberTheory/ModularForms/QExpansion.lean,Mathlib/Probability/CentralLimitTheorem.lean,Mathlib/Probability/Distributions/Gaussian/CharFun.lean,Mathlib/RepresentationTheory/Homological/GroupCohomology/Hilbert90.lean,Mathlib/RingTheory/PowerSeries/Exp.lean,Mathlib/Topology/UnitInterval.lean |
20 |
5 |
['github-actions', 'grunweg', 'j-loreaux', 'mathlib-merge-conflicts'] |
nobody |
55-42763 1 month ago |
55-42764 55 days ago |
22-59925 22 days |
| 37774 |
weisbrja author:weisbrja |
fix: change variables in `bicompl` to `Sort*` and add missing theorem mentioned in `bicompl` docs |
[#mathlib4 > Why does Mathlib use Type* instead of Sort* in some places?](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Why.20does.20Mathlib.20use.20Type.2A.20instead.20of.20Sort.2A.20in.20some.20places.3F/with/583882342)
---
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new-contributor
t-logic
merge-conflict
|
6/1 |
Mathlib/Logic/Function/Basic.lean |
1 |
8 |
['github-actions', 'kbuzzard', 'leanprover-radar', 'mathlib-merge-conflicts', 'weisbrja'] |
nobody |
51-56391 1 month ago |
51-56392 51 days ago |
19-76858 19 days |
| 36740 |
euprunin author:euprunin |
chore: golf using `grind` |
The goal of this PR is to decrease the number of times lemmas are called explicitly. Any decrease in compilation time is a welcome side effect, although it is not a primary objective.
Trace profiling results (differences <30 ms considered measurement noise):
* `AlgebraicGeometry.Scheme.isBasis_affineOpens`: unchanged 🎉
* `SimpleGraph.Walk.takeUntil_eq_take`: 263 ms before, 180 ms after 🎉
* `SimpleGraph.Walk.dropUntil_eq_drop`: 382 ms before, 261 ms after 🎉
* `Int.image_Ico_emod`: unchanged 🎉
* `Equiv.Perm.ofSubtype_swap_eq`: unchanged 🎉
Profiled using `set_option trace.profiler true in`.
---
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merge-conflict |
7/33 |
Mathlib/AlgebraicGeometry/AffineScheme.lean,Mathlib/Combinatorics/SimpleGraph/Walk/Decomp.lean,Mathlib/Data/Int/Interval.lean,Mathlib/GroupTheory/Perm/Support.lean |
4 |
8 |
['artie2000', 'chenson2018', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
49-45854 1 month ago |
49-45855 49 days ago |
43-5868 43 days |
| 37603 |
Parcly-Taxel author:Parcly-Taxel |
refactor: review of `SetSemiring` |
* Rename `Set.up` and `SetSemiring.down` to `SetSemiring.ofSet` and `SetSemiring.toSet` respectively. Unprotect both and make them equivalences, following `FreeMonoid`.
* Derive `CompleteAtomicBooleanAlgebra` for `SetSemiring` immediately.
* Add `imageHom_id` and `imageHom_comp`. The three existing lemmas about `imageHom` are coalesced into `imageHom_apply`.
Ultimately inspired by https://github.com/leanprover-community/mathlib4/pull/36934#issuecomment-4183475568. |
maintainer-merge
merge-conflict
|
120/165 |
Mathlib/Algebra/Algebra/Operations.lean,Mathlib/Data/Set/Semiring.lean |
2 |
42 |
['Parcly-Taxel', 'YaelDillies', 'eric-wieser', 'github-actions', 'mathlib-merge-conflicts', 'sgouezel'] |
nobody |
49-37244 1 month ago |
49-37245 49 days ago |
22-62470 22 days |
| 38329 |
jcommelin author:jcommelin |
chore: tighten down public/exposed API of AlgebraicClosure |
This PR tightens down the API of AlgebraicClosure,
by making few parts of FieldTheory/IsAlgClosed/AlgebraicClosure.lean
public and/or exposed.
We still need to expose the main definition.
It would be great if we can unexpose it in the future.
---
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|
t-algebra
merge-conflict
label:t-algebra$ |
73/53 |
Mathlib/Algebra/Lie/TraceForm.lean,Mathlib/FieldTheory/AxGrothendieck.lean,Mathlib/FieldTheory/Differential/Liouville.lean,Mathlib/FieldTheory/IsAlgClosed/AlgebraicClosure.lean,Mathlib/ModelTheory/Algebra/Field/IsAlgClosed.lean,Mathlib/RingTheory/Discriminant.lean,Mathlib/RingTheory/IntegralClosure/IntegralRestrict.lean,Mathlib/RingTheory/Norm/Transitivity.lean,Mathlib/RingTheory/Trace/Basic.lean |
9 |
26 |
['eric-wieser', 'github-actions', 'jcommelin', 'kbuzzard', 'leanprover-radar', 'mathlib-merge-conflicts', 'plp127', 'riccardobrasca'] |
nobody |
49-37227 1 month ago |
49-37228 49 days ago |
7-41851 7 days |
| 37819 |
YellPika author:YellPika |
feat(Order/OmegaCompletePartialOrder): add `OmegaCompletePartialOrder` instance for `WithBot` with basic `ωScottContinuous` lemmas |
This is a modification of #34093. See #34093 for details.
---
- [x] depends on: #33941
- [x] depends on: #37258
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new-contributor
t-order
merge-conflict
|
337/10 |
Mathlib/Algebra/Order/Ring/WithTop.lean,Mathlib/Analysis/BoxIntegral/Box/Basic.lean,Mathlib/Order/Monotone/Basic.lean,Mathlib/Order/OmegaCompletePartialOrder.lean,Mathlib/Order/TypeTags.lean,Mathlib/Order/WithBot.lean |
6 |
5 |
['Komyyy', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
Komyyy assignee:Komyyy |
48-20452 1 month ago |
48-20452 48 days ago |
22-11204 22 days |
| 37053 |
artie2000 author:artie2000 |
refactor(Analysis/Convex/Cone): use `PointedCone` in Riesz extension theorem |
Change the statement of the Riesz extension theorem to take a `PointedCone` rather than a `ConvexCone`.
This PR is part of a series replacing `ConvexCone` with `PointedCone`. https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Replacing.20.60ConvexCone.60.20with.20.60PointedCone.60/near/581184307
---
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|
t-convex-geometry
maintainer-merge
merge-conflict
|
15/12 |
Mathlib/Analysis/Convex/Cone/Extension.lean,Mathlib/Geometry/Convex/Cone/Pointed.lean |
2 |
9 |
['YaelDillies', 'artie2000', 'github-actions', 'mathlib-merge-conflicts', 'ocfnash'] |
nobody |
37-45457 1 month ago |
37-45458 37 days ago |
46-71615 46 days |
| 37553 |
grunweg author:grunweg |
chore: golf using .ne and friends |
ne_of_gt -> .ne'
ne_of_lt -> .ne
le_of_lt -> .le
Drive-by golfs using gcongr and positivity and been split into separate PRs.
---
- [x] depends on: #37462
- [x] depends on: #37715
- [x] depends on: #37554
- [x] depends on: #37845
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|
merge-conflict |
302/321 |
Archive/Imo/Imo1981Q3.lean,Archive/Imo/Imo2011Q3.lean,Archive/Imo/Imo2013Q5.lean,Archive/Imo/Imo2019Q4.lean,Archive/Wiedijk100Theorems/CubingACube.lean,Counterexamples/DiscreteTopologyNonDiscreteUniformity.lean,Counterexamples/NowhereDifferentiable.lean,Counterexamples/TopologistsSineCurve.lean,Mathlib/Algebra/BigOperators/Fin.lean,Mathlib/Algebra/BigOperators/Group/List/Lemmas.lean,Mathlib/Algebra/CharP/Defs.lean,Mathlib/Algebra/Group/Fin/Basic.lean,Mathlib/Algebra/Group/Pointwise/Set/Finite.lean,Mathlib/Algebra/Lie/Nilpotent.lean,Mathlib/Algebra/Module/Torsion/Basic.lean,Mathlib/Algebra/Module/ZLattice/Basic.lean,Mathlib/Algebra/Module/ZLattice/Covolume.lean,Mathlib/Algebra/Order/Antidiag/Nat.lean,Mathlib/Algebra/Order/Archimedean/Basic.lean,Mathlib/Algebra/Order/Archimedean/Class.lean,Mathlib/Algebra/Order/BigOperators/Group/Multiset.lean,Mathlib/Algebra/Order/BigOperators/GroupWithZero/Finset.lean,Mathlib/Algebra/Order/CauSeq/Basic.lean,Mathlib/Algebra/Order/CauSeq/BigOperators.lean,Mathlib/Algebra/Order/CompleteField.lean,Mathlib/Algebra/Order/Field/Basic.lean,Mathlib/Algebra/Order/GroupWithZero/Range.lean,Mathlib/Algebra/Order/GroupWithZero/Unbundled/Basic.lean,Mathlib/Algebra/Order/Interval/Set/Instances.lean,Mathlib/Algebra/Order/Module/HahnEmbedding.lean,Mathlib/Algebra/Order/Ring/WithTop.lean,Mathlib/Algebra/Order/Round.lean,Mathlib/Algebra/Order/ToIntervalMod.lean,Mathlib/Algebra/Polynomial/DenomsClearable.lean,Mathlib/Algebra/Polynomial/EraseLead.lean,Mathlib/Algebra/Polynomial/Monic.lean,Mathlib/Algebra/QuadraticDiscriminant.lean,Mathlib/AlgebraicGeometry/ProjectiveSpectrum/Proper.lean,Mathlib/Analysis/Analytic/Composition.lean,Mathlib/Analysis/Analytic/Inverse.lean,Mathlib/Analysis/Analytic/OfScalars.lean,Mathlib/Analysis/Analytic/Uniqueness.lean,Mathlib/Analysis/Asymptotics/ExpGrowth.lean,Mathlib/Analysis/Asymptotics/LinearGrowth.lean,Mathlib/Analysis/Asymptotics/SpecificAsymptotics.lean,Mathlib/Analysis/Asymptotics/TVS.lean,Mathlib/Analysis/BoxIntegral/Basic.lean,Mathlib/Analysis/BoxIntegral/Partition/Tagged.lean,Mathlib/Analysis/Calculus/BumpFunction/FiniteDimension.lean,Mathlib/Analysis/Calculus/ContDiff/Defs.lean,Mathlib/Analysis/Calculus/ContDiff/FTaylorSeries.lean,Mathlib/Analysis/Calculus/DerivativeTest.lean,Mathlib/Analysis/Calculus/FDeriv/Extend.lean,Mathlib/Analysis/Calculus/FDeriv/Measurable.lean,Mathlib/Analysis/Calculus/IteratedDeriv/Defs.lean,Mathlib/Analysis/Calculus/LHopital.lean,Mathlib/Analysis/Complex/Exponential.lean,Mathlib/Analysis/Complex/Hadamard.lean,Mathlib/Analysis/Complex/OpenMapping.lean,Mathlib/Analysis/Complex/Poisson.lean,Mathlib/Analysis/Complex/Trigonometric.lean,Mathlib/Analysis/Convex/Between.lean,Mathlib/Analysis/Convex/Caratheodory.lean,Mathlib/Analysis/Convex/Combination.lean,Mathlib/Analysis/Convex/Gauge.lean,Mathlib/Analysis/Convex/Radon.lean,Mathlib/Analysis/Convex/SpecificFunctions/Deriv.lean,Mathlib/Analysis/Convolution.lean,Mathlib/Analysis/InnerProductSpace/Subspace.lean,Mathlib/Analysis/LocallyConvex/WithSeminorms.lean,Mathlib/Analysis/MeanInequalities.lean,Mathlib/Analysis/MeanInequalitiesPow.lean,Mathlib/Analysis/MellinInversion.lean,Mathlib/Analysis/MellinTransform.lean,Mathlib/Analysis/Normed/Field/Approximation.lean,Mathlib/Analysis/Normed/Module/FiniteDimension.lean,Mathlib/Analysis/Normed/Operator/ContinuousAlgEquiv.lean,Mathlib/Analysis/Normed/Ring/Units.lean,Mathlib/Analysis/Normed/Unbundled/IsPowMulFaithful.lean,Mathlib/Analysis/Normed/Unbundled/SmoothingSeminorm.lean,Mathlib/Analysis/Normed/Unbundled/SpectralNorm.lean,Mathlib/Analysis/Oscillation.lean,Mathlib/Analysis/Real/Hyperreal.lean,Mathlib/Analysis/Real/Pi/Bounds.lean,Mathlib/Analysis/SpecialFunctions/ContinuousFunctionalCalculus/Rpow/IntegralRepresentation.lean,Mathlib/Analysis/SpecialFunctions/Log/Basic.lean,Mathlib/Analysis/SpecialFunctions/PolarCoord.lean,Mathlib/Analysis/SpecialFunctions/Pow/NNReal.lean,Mathlib/Analysis/SpecialFunctions/Pow/Real.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Basic.lean,Mathlib/Data/EReal/Inv.lean,Mathlib/Data/Finset/Image.lean,Mathlib/Data/Int/Interval.lean,Mathlib/Data/Int/ModEq.lean,Mathlib/Data/Nat/Bitwise.lean,Mathlib/Data/Nat/Lattice.lean,Mathlib/Data/Nat/Log.lean,Mathlib/Data/Nat/Multiplicity.lean,Mathlib/Data/Real/ConjExponents.lean,Mathlib/Dynamics/Circle/RotationNumber/TranslationNumber.lean |
114 |
7 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
35-36743 1 month ago |
35-36743 35 days ago |
13-66876 13 days |
| 39229 |
grunweg author:grunweg |
dev: towards `fun_prop` on manifolds |
---
- [ ] depends on: #39226
Rebased version of #31580. Meant to be a prototype that demonstrate how this could possibly work.
Not functional yet; waiting on cache to continue.
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|
t-meta
merge-conflict
|
305/1 |
Mathlib/Geometry/Manifold/Notation.lean,Mathlib/Tactic/FunProp/Core.lean,MathlibTest/DifferentialGeometry/FunPropM.lean,MathlibTest/fun_prop_dev.lean |
4 |
4 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
33-17633 1 month ago |
37-31205 37 days ago |
0-12 12 seconds |
| 39329 |
lecopivo author:lecopivo |
feat(fun_prop): eager application of transition theorems for fun_prop |
For properties like Integrable we want to apply transition theorems(like Continuous -> Integrable) eagerly
---
This is a change necessary in preparation for making `fun_prop` work for integrability.
-->
[](https://gitpod.io/from-referrer/)
|
t-meta
merge-conflict
|
93/30 |
Mathlib/Tactic/FunProp/Attr.lean,Mathlib/Tactic/FunProp/Core.lean,Mathlib/Tactic/FunProp/Decl.lean,MathlibTest/FunPropMinimal.lean |
4 |
14 |
['b-mehta', 'github-actions', 'lecopivo', 'mathlib-merge-conflicts'] |
JovanGerb assignee:JovanGerb |
30-64451 30 days ago |
32-78399 32 days ago |
1-47071 1 day |
| 37584 |
kennethgoodman author:kennethgoodman |
feat(Data/Nat/Fib): formalize Lamé's theorem |
## Summary
Formalize [Lamé's theorem](https://en.wikipedia.org/wiki/Lam%C3%A9%27s_theorem) (1844), the founding result of computational complexity theory.
**Lamé's Theorem:** If the Euclidean algorithm on inputs `(a, b)` with `b ≤ a` takes `n + 1` division steps, then `b ≥ fib(n + 1)` and `a ≥ fib(n + 2)`.
### New definitions
- `Nat.euclidSteps`: counts the number of division steps in the Euclidean algorithm on natural number inputs.
### New theorems
- `Nat.fib_le_of_euclidSteps`: the main Lamé bound — Fibonacci lower bound on inputs given a step count.
- `Nat.euclidSteps_le_of_lt_fib`: the contrapositive — step count upper bound given a Fibonacci bound on the smaller input.
- `Nat.add_mod_le`: helper lemma that `b + a % b ≤ a` when `b ≤ a` and `0 < b`.
### Proof strategy
Induction on `n`, tracking both elements of the pair. The key insight is that each Euclidean step replaces `(a, b)` with `(b, a % b)`, and since `a ≥ b + a % b` (because `a / b ≥ 1`), the Fibonacci recurrence `fib(n+3) = fib(n+2) + fib(n+1)` matches the structure of the algorithm.
### References
- Gabriel Lamé, *Note sur la limite du nombre des divisions dans la recherche du plus grand commun diviseur entre deux nombres entiers*, Comptes rendus de l'Académie des sciences, 1844.
---
### AI usage disclosure
Per the [Mathlib AI guidelines](https://leanprover-community.github.io/contribute/index.html#use-of-ai): Claude Code (Claude Opus 4.6) was used to assist with writing the Lean 4 proof code, fixing tactic errors, and drafting this PR description. The mathematical proof (induction on step count, tracking both pair elements through the Fibonacci recurrence) was designed by hand and verified on paper before formalization. I have reviewed and understand every line of the resulting Lean code and can explain all proof steps.
---
- [x] builds cleanly (`lake build Mathlib.Data.Nat.Fib.Lame`)
- [x] no `sorry`
- [x] lines ≤ 100 characters, no trailing whitespace
- [x] `autoImplicit false`
- [x] docstrings on all public declarations |
new-contributor
LLM-generated
t-data
merge-conflict
|
121/0 |
Mathlib.lean,Mathlib/Data/Nat/Basic.lean,Mathlib/Data/Nat/Fib/Basic.lean,Mathlib/Data/Nat/Fib/Lame.lean,docs/1000.yaml |
5 |
25 |
['euprunin', 'github-actions', 'kennethgoodman', 'mathlib-merge-conflicts', 'vihdzp', 'wwylele'] |
TwoFX assignee:TwoFX |
30-53124 30 days ago |
30-53125 30 days ago |
44-66371 44 days |
| 39509 |
mcdoll author:mcdoll |
chore(Topology): add `push/pull_end` tags for CLMs |
Simpsets were introduced in #38359, see also #39508
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|
t-topology
merge-conflict
|
2/0 |
Mathlib/Topology/Algebra/Module/LinearMap.lean |
1 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
j-loreaux assignee:j-loreaux |
28-32624 28 days ago |
28-36672 28 days ago |
3-40182 3 days |
| 36774 |
euprunin author:euprunin |
chore: replace long terminal `rw […]`:s (≥4 lemmas) with bare `simp`:s |
The goal of this PR is to decrease the number of times lemmas are called explicitly. Any decrease in compilation time is a welcome side effect, although it is not a primary objective.
Trace profiling results (differences <30 ms considered measurement noise):
* `Finset.lcm_union`: unchanged 🎉
* `Finset.gcd_union`: unchanged 🎉
* `Polynomial.derivative_eval₂_C`: unchanged 🎉
* `Polynomial.expand_pow`: unchanged 🎉
* `Cardinal.mk_real`: unchanged 🎉
* `Real.log_zpow`: unchanged 🎉
* `Matroid.eRank_le_encard_add_eRk_compl`: unchanged 🎉
* `DFinsupp.single_tsub`: unchanged 🎉
* `EReal.inv_neg`: unchanged 🎉
* `Finsupp.toMultiset_map`: unchanged 🎉
* `Finsupp.single_tsub`: unchanged 🎉
* `Multiset.countP_map`: unchanged 🎉
* `Nat.ascFactorial_eq_factorial_mul_choose'`: unchanged 🎉
* `Real.sign_intCast`: unchanged 🎉
* `Real.volume_eball`: unchanged 🎉
* `Real.volume_closedEBall`: unchanged 🎉
* `LFunction_ne_zero_of_not_quadratic_or_ne_one`: 295 ms before, 152 ms after 🎉
* `hasSum_one_div_nat_pow_mul_cos`: unchanged 🎉
* `inv_eq_of_aeval_divX_ne_zero`: unchanged 🎉
* `AlgebraicIndependent.aeval_comp_mvPolynomialOptionEquivPolynomialAdjoin`: unchanged 🎉
* `Ordinal.deriv_mul_eq_opow_omega0_mul`: unchanged 🎉
Profiled using `set_option trace.profiler true in`.
---
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|
merge-conflict |
22/24 |
Mathlib/Algebra/GCDMonoid/Finset.lean,Mathlib/Algebra/Polynomial/Derivative.lean,Mathlib/Algebra/Polynomial/Expand.lean,Mathlib/Analysis/Real/Cardinality.lean,Mathlib/Analysis/SpecialFunctions/Log/Basic.lean,Mathlib/Combinatorics/Matroid/Rank/ENat.lean,Mathlib/Data/DFinsupp/Order.lean,Mathlib/Data/EReal/Inv.lean,Mathlib/Data/Finsupp/Multiset.lean,Mathlib/Data/Finsupp/Order.lean,Mathlib/Data/Multiset/Filter.lean,Mathlib/Data/Nat/Choose/Basic.lean,Mathlib/Data/Real/Sign.lean,Mathlib/MeasureTheory/Measure/Lebesgue/Basic.lean,Mathlib/NumberTheory/LSeries/Nonvanishing.lean,Mathlib/NumberTheory/ZetaValues.lean,Mathlib/RingTheory/Algebraic/Basic.lean,Mathlib/RingTheory/AlgebraicIndependent/Basic.lean,Mathlib/SetTheory/Ordinal/FixedPoint.lean |
19 |
3 |
['artie2000', 'euprunin', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
25-62061 25 days ago |
25-62062 25 days ago |
67-395 67 days |
| 16074 |
Rida-Hamadani author:Rida-Hamadani |
feat: combinatorial maps and planar graphs |
We define combinatorial maps, then we define planar graph using combinatorial maps.
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|
merge-conflict
t-combinatorics
|
243/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Planar.lean,Mathlib/Data/CombinatorialMap.lean |
3 |
30 |
['MrBrain295', 'Parcly-Taxel', 'Rida-Hamadani', 'github-actions', 'lambda-fairy', 'leanprover-community-bot-assistant'] |
kmill assignee:kmill |
23-27194 23 days ago |
348-23627 348 days ago |
72-50365 72 days |
| 37956 |
artie2000 author:artie2000 |
feat(Algebra/Polynomial): lemmas about polynomial degree |
* Add various small lemmas about polynomial degree
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|
t-algebra
merge-conflict
label:t-algebra$ |
28/5 |
Mathlib/Algebra/Polynomial/Degree/Defs.lean,Mathlib/Algebra/Polynomial/Degree/Operations.lean,Mathlib/Algebra/Polynomial/FieldDivision.lean,Mathlib/Algebra/Polynomial/Monic.lean,MathlibTest/hintAll.lean |
5 |
8 |
['artie2000', 'github-actions', 'mathlib-merge-conflicts', 'vihdzp'] |
kim-em assignee:kim-em |
23-23753 23 days ago |
23-23754 23 days ago |
43-39219 43 days |
| 38989 |
grunweg author:grunweg |
chore: remove `(d)simp only []` |
Either remove them (when they were unnecessary), or replace by something more low-level.
---
I'm happy to make them `simp only` instead, if that is preferred.
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|
merge-conflict |
10/17 |
Counterexamples/AharoniKorman.lean,Mathlib/Analysis/SpecialFunctions/Integrals/PosLogEqCircleAverage.lean,Mathlib/CategoryTheory/Limits/Fubini.lean,Mathlib/Computability/PartrecCode.lean,Mathlib/Computability/RE.lean,Mathlib/Computability/TuringMachine/Config.lean,Mathlib/Computability/TuringMachine/StackTuringMachine.lean,Mathlib/LinearAlgebra/Matrix/Basis.lean,Mathlib/MeasureTheory/Covering/Besicovitch.lean,Mathlib/MeasureTheory/Measure/Restrict.lean,Mathlib/ModelTheory/Encoding.lean |
11 |
5 |
['b-mehta', 'github-actions', 'grunweg', 'mathlib-merge-conflicts'] |
nobody |
22-36869 22 days ago |
22-36870 22 days ago |
20-56482 20 days |
| 39676 |
joneugster author:joneugster |
chore: move test files and recapitalise filennames |
Continuation of #39674. Renames all test files to use UpperCamelCase. Moves a few files to a folder according to the location of the tested file.
---
While fixing capitalisation on all filenames, this PR makes no effort to sort all test files into according folders. This will be happening in follow-ups.
- [x] depends on: #39681
- [x] depends on: #39682
- [ ] depends on: #39683
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|
file-removed
merge-conflict
|
22/22 |
MathlibTest/AesopCat.lean,MathlibTest/Algebra/Algebra/Rat.lean,MathlibTest/Algebra/Polynomial.lean,MathlibTest/Algebra/Quaternion.lean,MathlibTest/Data/DFinsupp/DFinsuppMultiLinear.lean,MathlibTest/Data/DFinsupp/Notation.lean,MathlibTest/Data/Fin/VecNotation.lean,MathlibTest/Data/FunLike.lean,MathlibTest/Data/Real.lean,MathlibTest/Data/ZMod.lean,MathlibTest/DeriveCountable.lean,MathlibTest/DeriveCountableModule.lean,MathlibTest/DeriveEncodable.lean,MathlibTest/ENatToNat.lean,MathlibTest/EvalElab.lean,MathlibTest/FailIfNoProgress.lean,MathlibTest/FastInstance.lean,MathlibTest/FinsetBuilder.lean,MathlibTest/FinsetRepr.lean,MathlibTest/FinsuppNotation.lean,MathlibTest/FormatTable.lean,MathlibTest/ImportAll.lean,MathlibTest/InstanceDiamonds.lean,MathlibTest/InstanceDiamonds/Analysis/Normed/Field/WithAbs.lean,MathlibTest/InstanceDiamonds/Data/Complex/Module.lean,MathlibTest/InstanceDiamonds/FieldTheory/IsAlgClosed/AlgebraicClosure.lean,MathlibTest/InstanceDiamonds/FieldTheory/SplittingField/Construction.lean,MathlibTest/InstanceDiamonds/Normed.lean,MathlibTest/JacobiSymbol.lean,MathlibTest/Lean/Tactic/Grind/AC.lean,MathlibTest/Lean/Tactic/Grind/CC.lean,MathlibTest/Lean/Tactic/Grind/Field.lean,MathlibTest/Lean/Tactic/Grind/FieldInstance.lean,MathlibTest/Lean/Tactic/Grind/Grobner.lean,MathlibTest/Lean/Tactic/Grind/Linarith.lean,MathlibTest/Lean/Tactic/Grind/Lint.lean,MathlibTest/Lean/Tactic/Grind/NatCastInstance.lean,MathlibTest/Lean/Tactic/Grind/OrderedRing.lean,MathlibTest/Lean/Tactic/Grind/PairwiseDisjoint.lean,MathlibTest/Lean/Tactic/Grind/Panic.lean,MathlibTest/Lean/Tactic/Grind/Ring.lean,MathlibTest/Lean/Tactic/Grind/Set.lean,MathlibTest/Lean/Tactic/Grind/Trig.lean,MathlibTest/Lean/Tactic/Rewrites.lean,MathlibTest/Linter/DeprecatedModule/DeprecatedModule.lean,MathlibTest/Linter/DeprecatedModule/DeprecatedModuleAllTest.lean,MathlibTest/Linter/DeprecatedModule/DeprecatedModuleMetaTest.lean,MathlibTest/Linter/DeprecatedModule/DeprecatedModuleNew.lean,MathlibTest/Linter/DeprecatedModule/DeprecatedModulePublicMetaTest.lean,MathlibTest/Linter/DeprecatedModule/DeprecatedModulePublicTest.lean,MathlibTest/Linter/DeprecatedModule/DeprecatedModuleTest.lean,MathlibTest/Linter/DeprecatedSyntaxLinter.lean,MathlibTest/Linter/DocPrime.lean,MathlibTest/Linter/DocString.lean,MathlibTest/Linter/EmptyLine.lean,MathlibTest/Linter/FlexibleLinter.lean,MathlibTest/Linter/ForbiddenModuleNames.lean,MathlibTest/Linter/HaveLetLinter.lean,MathlibTest/Linter/ImportHeavyFlexibleLinter.lean,MathlibTest/Linter/Lint.lean,MathlibTest/Linter/ModuleCasing.lean,MathlibTest/Linter/OldObtain.lean,MathlibTest/Linter/PrivateModuleLinter/HasOnlyPrivate.lean,MathlibTest/Linter/PrivateModuleLinter/HasPublic.lean,MathlibTest/Linter/PrivateModuleLinter/ImportOnly.lean,MathlibTest/Linter/PrivateModuleLinter/Initialize.lean,MathlibTest/Linter/PrivateModuleLinter/NonModule.lean,MathlibTest/Linter/PrivateModuleLinter/Notation3.lean,MathlibTest/Linter/PrivateModuleLinter/ReservedName1.lean,MathlibTest/Linter/PrivateModuleLinter/ReservedName2.lean,MathlibTest/Linter/Style/LintStyle.lean,MathlibTest/Linter/Style/LongFile.lean,MathlibTest/Linter/UnusedTactic/AesopUnusedTactic.lean,MathlibTest/Linter/UnusedTactic/UnusedTactic.lean,MathlibTest/Linter/ValidatePRTitle.lean,MathlibTest/Linter/VersoHeader.lean,MathlibTest/Linter/Whitespace.lean,MathlibTest/NormCast.lean,MathlibTest/RegisterTryTactic.lean,MathlibTest/RightActions.lean,MathlibTest/SetLike.lean,MathlibTest/SimpConfluence.lean,MathlibTest/SlimCheck.lean,MathlibTest/SlowInstances.lean,MathlibTest/SlowSimp.lean,MathlibTest/Tactic/ApplyCongr.lean,MathlibTest/Tactic/ApplyFun.lean,MathlibTest/Tactic/ApplyRules.lean,MathlibTest/Tactic/ApplyWith.lean,MathlibTest/Tactic/Bound/Attribute.lean,MathlibTest/Tactic/Bound/Bound.lean,MathlibTest/Tactic/ByContra.lean,MathlibTest/Tactic/CancelDenoms.lean,MathlibTest/Tactic/Cases.lean,MathlibTest/Tactic/CasesM.lean,MathlibTest/Tactic/Change.lean,MathlibTest/Tactic/Check.lean,MathlibTest/Tactic/Choose/Choose.lean,MathlibTest/Tactic/Choose/Reduction.lean,MathlibTest/Tactic/Clean.lean |
192 |
5 |
['github-actions', 'grunweg', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
21-25155 21 days ago |
21-25156 21 days ago |
1-38699 1 day |
| 39388 |
marcelolynch author:marcelolynch |
chore: remove @[expose] from def-free public sections |
Strip `@[expose]` from `public section` headers in 100 modules where no declaration needs its body visible downstream. A new sweep in the style of #38480
Found using the linter-in-progress: #39387
Relevant Zulip thread: https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Removing.20unnecessary.20.60.40.5Bexpose.5D.60/with/595180230 |
merge-conflict |
100/100 |
Mathlib/Algebra/Category/Ring/Small.lean,Mathlib/Algebra/Field/Basic.lean,Mathlib/Algebra/Field/MinimalAxioms.lean,Mathlib/Algebra/Field/Opposite.lean,Mathlib/Algebra/Field/Rat.lean,Mathlib/Algebra/Field/ULift.lean,Mathlib/Algebra/Field/ZMod.lean,Mathlib/Algebra/Group/Action/Option.lean,Mathlib/Algebra/Group/Action/Sigma.lean,Mathlib/Algebra/Group/Action/Sum.lean,Mathlib/Algebra/Group/Action/Units.lean,Mathlib/Algebra/Group/Subgroup/Actions.lean,Mathlib/Algebra/Group/Submonoid/MulAction.lean,Mathlib/Algebra/Module/Projective.lean,Mathlib/Algebra/Module/Submodule/Basic.lean,Mathlib/Algebra/NonAssoc/LieAdmissible/Defs.lean,Mathlib/Algebra/Notation/Prod.lean,Mathlib/Algebra/Order/Floor/Div.lean,Mathlib/Algebra/Order/Group/Action/End.lean,Mathlib/Algebra/Order/Group/End.lean,Mathlib/Algebra/Order/Group/PosPart.lean,Mathlib/Algebra/Order/Kleene.lean,Mathlib/Algebra/Order/Nonneg/Lattice.lean,Mathlib/Algebra/Order/Pi.lean,Mathlib/Algebra/Order/Ring/Unbundled/Rat.lean,Mathlib/Algebra/Ring/Commute.lean,Mathlib/AlgebraicTopology/ModelCategory/Over.lean,Mathlib/Analysis/InnerProductSpace/Coalgebra.lean,Mathlib/Analysis/Normed/Algebra/TrivSqZeroExt.lean,Mathlib/Analysis/Normed/Group/Constructions.lean,Mathlib/Analysis/Normed/Module/MStructure.lean,Mathlib/Analysis/Normed/Operator/Compact/FiniteDimension.lean,Mathlib/Analysis/ODE/DiscreteGronwall.lean,Mathlib/CategoryTheory/Localization/DerivabilityStructure/OfLocalizedEquivalences.lean,Mathlib/CategoryTheory/MarkovCategory/Positive.lean,Mathlib/CategoryTheory/Monoidal/Cartesian/Normal.lean,Mathlib/CategoryTheory/Monoidal/Functor/Types.lean,Mathlib/CategoryTheory/Monoidal/Types/Coyoneda.lean,Mathlib/CategoryTheory/Sites/CoversTop/Over.lean,Mathlib/Combinatorics/Additive/FreimanHom.lean,Mathlib/Computability/AkraBazzi/AkraBazzi.lean,Mathlib/Data/ENNReal/Action.lean,Mathlib/Data/ENat/Pow.lean,Mathlib/Data/Finsupp/Pointwise.lean,Mathlib/Data/FunLike/Basic.lean,Mathlib/Data/FunLike/Embedding.lean,Mathlib/Data/FunLike/Equiv.lean,Mathlib/Data/Int/Cast/Pi.lean,Mathlib/Data/List/Monad.lean,Mathlib/Data/NNRat/Lemmas.lean,Mathlib/Data/Nat/Lattice.lean,Mathlib/Data/Prod/Lex.lean,Mathlib/Data/Rat/Cast/Defs.lean,Mathlib/Data/Rat/Cast/OfScientific.lean,Mathlib/Data/Real/Archimedean.lean,Mathlib/Data/ZMod/IntUnitsPower.lean,Mathlib/GroupTheory/GroupAction/Embedding.lean,Mathlib/GroupTheory/IsPerfect.lean,Mathlib/GroupTheory/ResiduallyFinite.lean,Mathlib/LinearAlgebra/CliffordAlgebra/Star.lean,Mathlib/LinearAlgebra/Projectivization/Action.lean,Mathlib/LinearAlgebra/RootSystem/GeckConstruction/Semisimple.lean,Mathlib/MeasureTheory/Function/L2Space.lean,Mathlib/MeasureTheory/Integral/IntegralEqImproper.lean,Mathlib/MeasureTheory/Measure/Sub.lean,Mathlib/MeasureTheory/Measure/Typeclasses/ZeroOne.lean,Mathlib/NumberTheory/ModularForms/EisensteinSeries/E2/Transform.lean,Mathlib/NumberTheory/NumberField/ExistsRamified.lean,Mathlib/NumberTheory/Padics/PadicVal/Defs.lean,Mathlib/Order/ConditionallyCompleteLattice/Basic.lean,Mathlib/Order/Filter/FilterProduct.lean,Mathlib/Order/Heyting/Basic.lean,Mathlib/Order/Interval/Set/OrdConnected.lean,Mathlib/Order/Quotient.lean,Mathlib/Probability/Kernel/Deterministic.lean,Mathlib/RingTheory/Coalgebra/Convolution.lean,Mathlib/RingTheory/Flat/IsBaseChange.lean,Mathlib/RingTheory/HopfAlgebra/TensorProduct.lean,Mathlib/RingTheory/Ideal/GoingDown.lean,Mathlib/RingTheory/Ideal/GoingUp.lean,Mathlib/RingTheory/Ideal/Maximal.lean,Mathlib/RingTheory/Localization/Finiteness.lean,Mathlib/RingTheory/Noetherian/Defs.lean,Mathlib/RingTheory/QuasiFinite/Basic.lean,Mathlib/RingTheory/QuasiFinite/Polynomial.lean,Mathlib/RingTheory/QuasiFinite/Weakly.lean,Mathlib/RingTheory/Regular/ProjectiveDimension.lean,Mathlib/RingTheory/SimpleModule/Basic.lean,Mathlib/RingTheory/Smooth/Fiber.lean,Mathlib/RingTheory/TensorProduct/IsBaseChangeRightExact.lean,Mathlib/RingTheory/Unramified/LocalRing.lean,Mathlib/RingTheory/Valuation/Extension.lean,Mathlib/RingTheory/Valuation/IsTrivialOn.lean,Mathlib/SetTheory/Cardinal/Regular.lean,Mathlib/Tactic/Algebra/Lemmas.lean,Mathlib/Topology/Algebra/UniformMulAction.lean,Mathlib/Topology/CWComplex/Classical/Subcomplex.lean,Mathlib/Topology/EMetricSpace/Pi.lean,Mathlib/Topology/List.lean,Mathlib/Topology/MetricSpace/Pseudo/Pi.lean |
100 |
7 |
['eric-wieser', 'github-actions', 'grunweg', 'marcelolynch', 'mathlib-merge-conflicts', 'urkud'] |
nobody |
19-32859 19 days ago |
19-32860 19 days ago |
15-23632 15 days |
| 39489 |
Paul-Lez author:Paul-Lez |
fix: defeq abuse in HasFTaylorSeriesUpToOn.comp |
Removes a `set_option backward.isDefEq.respectTransparency false`. The fix isn't as nice as I would have hoped (I tried to make it smaller but to no avail).
---
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|
t-analysis
merge-conflict
|
5/2 |
Mathlib/Analysis/Calculus/ContDiff/FaaDiBruno.lean |
1 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
j-loreaux assignee:j-loreaux |
19-32725 19 days ago |
19-32725 19 days ago |
12-82083 12 days |
| 39773 |
kbuzzard author:kbuzzard |
perf: add some fast_instance% |
This PR adds some `fast_instance%`s, which tidies up some terms.
See [#mathlib4 > fast_instance% plans](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/fast_instance.25.20plans/with/597402311) for explicit descriptions of what every change in this PR actually does to the terms in question.
---
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|
t-algebra
merge-conflict
label:t-algebra$ |
6/4 |
Mathlib/Algebra/Group/Pi/Basic.lean,Mathlib/Algebra/Group/TypeTags/Basic.lean |
2 |
4 |
['github-actions', 'kbuzzard', 'leanprover-radar', 'mathlib-merge-conflicts'] |
nobody |
19-29197 19 days ago |
19-29198 19 days ago |
5-46079 5 days |
| 39395 |
marcelolynch author:marcelolynch |
chore(Tactic/Linter): reword PrivateLinter suggestion |
This matches the granular-by-default philosophy of the new module system and produces files without superfluous `@[expose] public`, which we also want to flag as undesirable: we steer to making every @[expose] is per-decl and intentional, rather than section-wide
Relevant Zulip thread: https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Removing.20unnecessary.20.60.40.5Bexpose.5D.60/with/595180230 |
t-linter
merge-conflict
|
11/8 |
Mathlib/Tactic/Linter/PrivateModule.lean,MathlibTest/PrivateModuleLinter/hasOnlyPrivate.lean,MathlibTest/PrivateModuleLinter/notation3.lean,MathlibTest/PrivateModuleLinter/reservedName2.lean |
4 |
4 |
['JovanGerb', 'github-actions', 'grunweg', 'marcelolynch', 'mathlib-merge-conflicts'] |
JovanGerb assignee:JovanGerb |
18-69086 18 days ago |
23-23739 23 days ago |
11-19868 11 days |
| 26394 |
winstonyin author:winstonyin |
feat: existence of local flows on manifolds |
This PR continues the work from #21777.
Original PR: https://github.com/leanprover-community/mathlib4/pull/21777
Transfer the existence theorem of local flows on vector spaces to manifolds. The precise statement is:
> If a vector field `v` on a manifold `M` is continuously differentiable at an interior point `x₀`, then for a given `t₀` there exists a neighbourhood `u` of `x₀`, a positive `ε`, and `γ : M → ℝ → M` such that `γ x` is an integral curve of `v` on `(t₀ - ε, t₀ + ε)` for all `x ∈ u`.
This is powerful because all curves `γ x` (each with initial condition `x ∈ u`) share the same existence time interval `(t₀ - ε, t₀ + ε)`, rather than each curve having its own `ε`. This will allow us to show that $C^1$ vector fields on compact manifolds always have global integral curves / global flows.
Any suggestions to shorten the proof or split out useful lemmas are welcome!
- [x] depends on: #26392
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|
t-differential-geometry
merge-conflict
|
138/61 |
Mathlib/Analysis/ODE/PicardLindelof.lean,Mathlib/Geometry/Manifold/IntegralCurve/ExistUnique.lean,Mathlib/Order/Filter/Prod.lean |
3 |
13 |
['github-actions', 'grunweg', 'leanprover-community-bot-assistant', 'mathlib-merge-conflicts', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot', 'ocfnash', 'winstonyin'] |
ocfnash assignee:ocfnash |
18-41583 18 days ago |
18-41584 18 days ago |
23-5862 23 days |
| 39205 |
ooovi author:ooovi |
feat(Geometry/Convex): Bundled convex set |
Add a bundled version of `IsConvexSet`.
---
Once the dependencies are merged, this PR only changes `Mathlib.Geometry.Convex.Set` and `Mathlib.Geometry.Convex.Hull`, at the bottom of the file, adding `ConvexSet` and everything in the corresponding namespace.
- [ ] depends on: #38934
- [ ] depends on: #38905
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|
large-import
merge-conflict
|
989/172 |
Mathlib.lean,Mathlib/Analysis/Convex/MetricSpace.lean,Mathlib/Data/Finsupp/Basic.lean,Mathlib/Geometry/Convex/ConvexSpace/AffineSpace.lean,Mathlib/Geometry/Convex/ConvexSpace/Defs.lean,Mathlib/Geometry/Convex/Hull.lean,Mathlib/Geometry/Convex/README.md,Mathlib/Geometry/Convex/Set.lean |
8 |
6 |
['github-actions', 'martinwintermath', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
13-65117 13 days ago |
unknown |
0-0 0 seconds |
| 38938 |
lua-vr author:lua-vr |
chore(ConditionallyCompleteLattice/Indexed): dualize |
---
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|
t-order
merge-conflict
|
94/260 |
Mathlib/Order/ConditionallyCompleteLattice/Basic.lean,Mathlib/Order/ConditionallyCompleteLattice/Defs.lean,Mathlib/Order/ConditionallyCompleteLattice/Indexed.lean |
3 |
15 |
['JovanGerb', 'github-actions', 'lua-vr', 'mathlib-bors', 'mathlib-merge-conflicts'] |
nobody |
13-32629 13 days ago |
13-32629 13 days ago |
4-48840 4 days |
| 39724 |
vihdzp author:vihdzp |
feat: finite sets are closed under directed suprema |
As are chains of length ≤ ω.
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We don't prove `Set.Finite.dirSupClosed` via `DirectedOn.finite_le`, in order to save a few imports.
[](https://gitpod.io/from-referrer/)
|
file-removed
t-order
merge-conflict
|
239/31 |
Mathlib.lean,Mathlib/Data/Fintype/Order.lean,Mathlib/Order/Cofinal.lean,Mathlib/Order/DirSupClosed/Basic.lean,Mathlib/Order/DirSupClosed/Finite.lean,Mathlib/Order/IsNormal.lean,Mathlib/SetTheory/Cardinal/Cofinality/Club.lean,Mathlib/SetTheory/Cardinal/Cofinality/Ordinal.lean,Mathlib/Topology/Order/ScottTopology.lean |
9 |
3 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
13-29060 13 days ago |
13-29061 13 days ago |
11-44785 11 days |
| 37901 |
Raph-DG author:Raph-DG |
feat(AlgebraicGeometry): Define algebraic cycles |
In this PR we define the notion of algebraic cycles on a scheme, and define the pushforward of an algebraic cycle by a quasicompact morhphism. This was originally defined in #26304, but after some refactoring it was decided that it would be best to split this definition into a separate PR.
- [ ] depends on: #26304
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|
t-algebraic-geometry
merge-conflict
|
250/0 |
Mathlib.lean,Mathlib/AlgebraicGeometry/AlgebraicCycle.lean,Mathlib/Topology/LocallyFinsupp/Pushforward.lean |
3 |
3 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
12-45456 12 days ago |
12-45456 12 days ago |
0-35362 9 hours |
| 38344 |
robo7179 author:robo7179 |
feat(SimpleGraph/Coloring/VertexColoring): Matching is 2 colorable |
---
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|
t-combinatorics
new-contributor
merge-conflict
|
51/0 |
Mathlib/Combinatorics/SimpleGraph/Coloring/VertexColoring.lean |
1 |
6 |
['SnirBroshi', 'github-actions', 'mathlib-merge-conflicts', 'vlad902'] |
b-mehta assignee:b-mehta |
10-66958 10 days ago |
10-66959 10 days ago |
46-71620 46 days |
| 32829 |
Hagb author:Hagb |
feat(Data/Finsupp/MonomialOrder): weaken `IsOrderedCancelAddMonoid` to `IsOrderedAddMonoid` |
`IsOrderedCancelAddMonoid syn` (`.iocam`) can be obtained from
`IsOrderedAddMonoid syn` and other fields.
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|
t-order
merge-conflict
|
11/2 |
Mathlib/Algebra/Order/Group/Defs.lean,Mathlib/Data/Finsupp/MonomialOrder.lean |
2 |
10 |
['Hagb', 'Vierkantor', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'vihdzp'] |
nobody |
9-42544 9 days ago |
9-42545 9 days ago |
0-37269 10 hours |
| 34855 |
staroperator author:staroperator |
feat(Order): use `to_dual` for `PFilter` |
This PR redefines `PFilter` to get rid of `OrderDual` and uses `to_dual` to translate theorems. The whole file of `PFilter` is now deprecated.
Some changes:
- To align with `Filter`, the order on `PFilter` is changed to the reversed set inclusion. Ultrafilters, the dual notion of maximal ideals, become minimal in this order.
- `to_dual` does not work on `sequenceOfCofinals`. I left `Order.Cofinal` and the Rasiowa–Sikorski lemma not `to_dual`-ized, and we should move them to a separate file later.
- `IsLEChain` is added to tag `to_dual`.
- `IsCoatom.isProper`/`IsCoatom.isMaximal` is deprecated by `Order.Ideal.isProper_of_isCoatom`/`Order.Ideal.isMaximal_of_isProper`, since this result is special to ideals while `IsCoatom` namespace should be for orders in general.
---
- [x] depends on: #34820
---
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t-order
merge-conflict
|
292/242 |
Mathlib/Order/Atoms.lean,Mathlib/Order/BooleanAlgebra/Basic.lean,Mathlib/Order/BooleanAlgebra/Defs.lean,Mathlib/Order/CompleteLattice/Defs.lean,Mathlib/Order/Ideal.lean,Mathlib/Order/PFilter.lean,Mathlib/Order/Preorder/Chain.lean,Mathlib/Order/PrimeIdeal.lean,Mathlib/Order/PrimeSeparator.lean,Mathlib/Order/ZornAtoms.lean,Mathlib/RingTheory/IdealFilter/Basic.lean,Mathlib/RingTheory/IdealFilter/Topology.lean,Mathlib/Tactic/Translate/ToDual.lean |
13 |
5 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
9-42297 9 days ago |
9-42298 9 days ago |
38-31545 38 days |
| 36878 |
plp127 author:plp127 |
chore: override `npow` in compositional monoids |
If `FooHom` is the type of foo homomorphisms, then `FooHom A A` naturally gets the structure of a monoid by setting one to be the identity homomorphism and setting multiplication to be composition. This PR overrides the `npow` field of this `Monoid` to have `f ^ n` be definitionally equal to `f^[n]`. `FooEquiv A A` also naturally gets a group structure in the same way, this PR overrides the `npow` field to have `f ^ n` be definitionally equal to `f^[n]` and to have `f ^ (n + 1)` be definitionally equal to `f ^ n * f`. This does break one pre-existing definitional equality: when `e : Equiv.Perm α`, `e⁻¹ ^ n = (e ^ n)⁻¹` will no longer be definitional.
This PR also sets the `zpow` field of `Group (FooEquiv A A)` instances so that `(f ^ n).toEquiv` is definitionally equal to `f.toEquiv ^ n`.
The monoid and group instances to modify are found by searching loogle for `"one_apply"`.
The motivation is to make natural number powers commute definitionally with the coercion from `AlgEquiv` to `LinearMap`.
---
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|
large-import
merge-conflict
|
209/65 |
Mathlib/Algebra/AddConstMap/Equiv.lean,Mathlib/Algebra/Algebra/Equiv.lean,Mathlib/Algebra/Algebra/Hom.lean,Mathlib/Algebra/Group/End.lean,Mathlib/Algebra/Group/Hom/Defs.lean,Mathlib/Algebra/Module/LinearMap/End.lean,Mathlib/Algebra/Order/Group/End.lean,Mathlib/Algebra/Ring/Aut.lean,Mathlib/Algebra/Ring/Hom/Defs.lean,Mathlib/Algebra/Star/MonoidHom.lean,Mathlib/Algebra/Star/StarAlgHom.lean,Mathlib/Algebra/Star/StarRingHom.lean,Mathlib/FieldTheory/Perfect.lean,Mathlib/GroupTheory/Perm/Cycle/Basic.lean,Mathlib/RingTheory/Bialgebra/Hom.lean,Mathlib/RingTheory/Coalgebra/Hom.lean,Mathlib/Topology/Algebra/Algebra.lean,Mathlib/Topology/Algebra/Module/ContinuousLinearMap/Basic.lean |
18 |
5 |
['eric-wieser', 'github-actions', 'mathlib-merge-conflicts', 'plp127'] |
nobody |
6-48011 6 days ago |
6-48011 6 days ago |
5-20032 5 days |
| 37707 |
MavenRain author:MavenRain |
feat(Combinatorics/SimpleGraph): add IsMaximalClique/IsMaximalIndepSet, refactor IsMaximum* to MaximalFor |
Addresses #34962
|
new-contributor
t-combinatorics
merge-conflict
|
63/31 |
Mathlib/Combinatorics/SimpleGraph/Clique.lean |
1 |
7 |
['MavenRain', 'SnirBroshi', 'eric-wieser', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
6-47885 6 days ago |
6-47886 6 days ago |
26-52833 26 days |
| 39545 |
Hagb author:Hagb |
feat(Order/OrderIsoNat): some lemmas about `((· < ·) : ℕ → ℕ → Prop) ↪r r` |
This PR contains several lemmas about relation embedding from `<` in `Nat`, well order, and (in)finiteness.
- `RelEmbedding.infinite_iff_nonempty_relEmbedding_of_isWellOrder`: a type with a well order relation is infinite iff there is such a relation embedding.
- `RelEmbedding.finite_iff_empty_relEmbedding_of_isWellOrder`: a finite variant of `infinite_iff_nonempty_relEmbedding_of_isWellOrder`
- `IsWellOrder.finite_of_isWellOrder_of_isWellOrder_swap`: a type with a linear order relation well founded on both directions is finite.
- `instFiniteOfWellFoundedLTOfWellFoundedGT`: an instance variant of `IsWellOrder.finite_of_isWellOrder_of_isWellOrder_swap` on `WellFounded{LT,GT}`.
- `RelEmbedding.infinite_iff_nonempty_relEmbedding_lt_or_nonempty_relEmbedding_gt`: a type with a linear order relation is infinite iff there are both relation embedding between `<` in `Nat` and this relation, and between `>` in `Nat` and this relation.
- `RelEmbedding.finite_iff_isEmpty_relEmbedding_lt_and_isEmpty_relEmbedding_gt`: a finite variant of `infinite_iff_nonempty_relEmbedding_lt_or_nonempty_relEmbedding_gt`.
---
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<details>
<summary> Edit: remove the description on the original motivation since `WellQuasiOrdered` instead of theorems in this PR can be used for that goal. </summary>
`RelEmbedding.finite_iff_empty_relEmbedding_of_isWellOrder` might be used for proof of
```lean
example {α β γ} [LinearOrder α] [LinearOrder β] [WellFoundedLT α] [WellFoundedLT β] [LinearOrder γ]
{f : α × β ≃ γ} (mono : Monotone f) : WellFoundedLT γ := sorry
```
The latter will be used for
```lean
example {α β γ} [Finite α] [LinearOrder β] [WellFoundedLT β] [LinearOrder γ]
{f : (α → β) ≃ γ} (mono : Monotone f) : WellFoundedLT γ := sorry
```
And the finial goal is the well-foundedness of monomial order when the index type `σ` is finite (under the definition in #39214). |
t-order
merge-conflict
|
58/0 |
Mathlib/Order/OrderIsoNat.lean |
1 |
16 |
['Hagb', 'SnirBroshi', 'github-actions', 'leanprover-radar', 'mathlib-merge-conflicts', 'vihdzp'] |
nobody |
6-44955 6 days ago |
6-44956 6 days ago |
23-50475 23 days |
| 39769 |
chenson2018 author:chenson2018 |
chore(Topology): 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-topology
tech debt
merge-conflict
|
35/17 |
Mathlib/Topology/Compactness/CountablyCompact.lean,Mathlib/Topology/EMetricSpace/BoundedVariation.lean,Mathlib/Topology/MetricSpace/Pseudo/Defs.lean,Mathlib/Topology/Order/Basic.lean,Mathlib/Topology/Order/IsLUB.lean,Mathlib/Topology/Order/WithTop.lean,Mathlib/Topology/Path.lean,Mathlib/Topology/Sets/VietorisTopology.lean,Mathlib/Topology/Sheaves/Flasque.lean |
9 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
6-44830 6 days ago |
6-44830 6 days ago |
18-36384 18 days |
| 27707 |
amellendijk author:amellendijk |
feat(NumberTheory/SelbergSieve): define Selberg's weights and prove basic results. |
This PR continues the work from #23635.
Original PR: https://github.com/leanprover-community/mathlib4/pull/23635
- [ ] depends on: #27702 |
merge-conflict
t-number-theory
t-analysis
|
407/83 |
Mathlib/NumberTheory/Divisors.lean,Mathlib/NumberTheory/SelbergSieve.lean |
2 |
3 |
['github-actions', 'mathlib-dependent-issues', 'mathlib4-merge-conflict-bot'] |
nobody |
6-36705 6 days ago |
319-36551 319 days ago |
1-28996 1 day |
| 40428 |
eric-wieser author:eric-wieser |
chore: remove a duplicate instance |
We already build this instance in the general case, I don't think we need to build it again.
We keep the shortcut since we already have other shortcuts of this style.
---
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t-algebra
large-import
merge-conflict
label:t-algebra$ |
2/3 |
Mathlib/Algebra/Field/Subfield/Basic.lean |
1 |
4 |
['eric-wieser', 'github-actions', 'leanprover-radar', 'mathlib-merge-conflicts'] |
nobody |
5-38248 5 days ago |
5-38249 5 days ago |
3-19832 3 days |
| 36845 |
grunweg author:grunweg |
feat: the Levi-Civita connection on a manifold |
---
- [x] depends on: #36299
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t-differential-geometry
merge-conflict
|
568/3 |
Mathlib.lean,Mathlib/Geometry/Manifold/VectorBundle/CovariantDerivative/LeviCivita.lean,Mathlib/Geometry/Manifold/VectorBundle/CovariantDerivative/Metric.lean,Mathlib/Geometry/Manifold/VectorBundle/MDifferentiable.lean |
4 |
4 |
['github-actions', 'grunweg', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
0-47376 13 hours ago |
0-47415 13 hours ago |
0-10278 2 hours |
| 38823 |
matthewjasper author:matthewjasper |
chore(LinearAlgebra/TensorProduct): fix diamond in `AddCommGroup` instance |
The `SMul` instance for tensor products directly used `AddCon.lift`, so wasn't type correct at instance transparency. This caused a diamond with the `AddCommGroup` instance on tensor products because after unfolding some types didn't match, so I've wrapped the sMul function in a semireducible def to prevent this.
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t-algebra
merge-conflict
label:t-algebra$ |
30/23 |
Mathlib/LinearAlgebra/TensorProduct/Basic.lean,Mathlib/LinearAlgebra/TensorProduct/Defs.lean |
2 |
7 |
['dagurtomas', 'github-actions', 'kbuzzard', 'leanprover-radar', 'mathlib-merge-conflicts'] |
nobody |
0-39007 10 hours ago |
5-40700 5 days ago |
42-6323 42 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 |
merge-conflict |
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 |
13 |
['JovanGerb', 'github-actions', 'kim-em', 'leanprover-radar', 'mathlib-merge-conflicts'] |
nobody |
0-33014 9 hours ago |
0-33015 9 hours ago |
51-13334 51 days |
| 39428 |
harahu author:harahu |
chore: add an empty line after module headers |
This makes the docs easier to read.
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|
merge-conflict |
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 |
4 |
['github-actions', 'grunweg', 'mathlib-merge-conflicts'] |
nobody |
0-28998 8 hours ago |
0-28999 7 hours ago |
27-35240 27 days |
| 39638 |
mcdoll author:mcdoll |
feat(Algebra): use `Is*Apply` for `LinearMap` |
---
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t-algebra
large-import
merge-conflict
label:t-algebra$ |
427/429 |
Archive/Sensitivity.lean,Mathlib/Algebra/Azumaya/Matrix.lean,Mathlib/Algebra/Category/ModuleCat/Basic.lean,Mathlib/Algebra/Category/ModuleCat/ChangeOfRings.lean,Mathlib/Algebra/Category/ModuleCat/Differentials/Basic.lean,Mathlib/Algebra/Category/ModuleCat/Semi.lean,Mathlib/Algebra/Central/End.lean,Mathlib/Algebra/Group/ForwardDiff.lean,Mathlib/Algebra/Lie/Abelian.lean,Mathlib/Algebra/Lie/AdjointAction/Derivation.lean,Mathlib/Algebra/Lie/BaseChange.lean,Mathlib/Algebra/Lie/Basis.lean,Mathlib/Algebra/Lie/CartanExists.lean,Mathlib/Algebra/Lie/Cochain.lean,Mathlib/Algebra/Lie/Derivation/Basic.lean,Mathlib/Algebra/Lie/EngelSubalgebra.lean,Mathlib/Algebra/Lie/Extension.lean,Mathlib/Algebra/Lie/InvariantForm.lean,Mathlib/Algebra/Lie/LieTheorem.lean,Mathlib/Algebra/Lie/Nilpotent.lean,Mathlib/Algebra/Lie/TensorProduct.lean,Mathlib/Algebra/Lie/TraceForm.lean,Mathlib/Algebra/Lie/Weights/Basic.lean,Mathlib/Algebra/Lie/Weights/Cartan.lean,Mathlib/Algebra/Lie/Weights/IsSimple.lean,Mathlib/Algebra/Lie/Weights/Killing.lean,Mathlib/Algebra/Module/CharacterModule.lean,Mathlib/Algebra/Module/FinitePresentation.lean,Mathlib/Algebra/Module/LinearMap/Basic.lean,Mathlib/Algebra/Module/LinearMap/Defs.lean,Mathlib/Algebra/Module/LinearMap/End.lean,Mathlib/Algebra/Module/LinearMap/Polynomial.lean,Mathlib/Algebra/Module/Presentation/Basic.lean,Mathlib/Algebra/Module/Submodule/Bilinear.lean,Mathlib/Algebra/Module/Submodule/LinearMap.lean,Mathlib/Algebra/Module/Submodule/Map.lean,Mathlib/Algebra/MonoidAlgebra/Degree.lean,Mathlib/Algebra/MvPolynomial/Degrees.lean,Mathlib/Algebra/MvPolynomial/Equiv.lean,Mathlib/Algebra/Polynomial/HasseDeriv.lean,Mathlib/Algebra/TrivSqZeroExt/Basic.lean,Mathlib/Analysis/Calculus/LagrangeMultipliers.lean,Mathlib/Analysis/Complex/Conformal.lean,Mathlib/Analysis/Fourier/BoundedContinuousFunctionChar.lean,Mathlib/Analysis/Fourier/FourierTransform.lean,Mathlib/Analysis/InnerProductSpace/Adjoint.lean,Mathlib/Analysis/InnerProductSpace/ConformalLinearMap.lean,Mathlib/Analysis/InnerProductSpace/LinearMap.lean,Mathlib/Analysis/InnerProductSpace/LinearPMap.lean,Mathlib/Analysis/InnerProductSpace/PiL2.lean,Mathlib/Analysis/InnerProductSpace/Projection/FiniteDimensional.lean,Mathlib/Analysis/InnerProductSpace/Projection/Reflection.lean,Mathlib/Analysis/InnerProductSpace/Spectrum.lean,Mathlib/Analysis/InnerProductSpace/TensorProduct.lean,Mathlib/Analysis/LocallyConvex/Polar.lean,Mathlib/Analysis/Normed/Module/FiniteDimension.lean,Mathlib/Analysis/Normed/Operator/Bilinear.lean,Mathlib/Analysis/Seminorm.lean,Mathlib/FieldTheory/Fixed.lean,Mathlib/FieldTheory/NormalizedTrace.lean,Mathlib/Geometry/Euclidean/Angle/Oriented/Affine.lean,Mathlib/Geometry/Euclidean/Angle/Oriented/Rotation.lean,Mathlib/Geometry/Euclidean/Angle/Unoriented/Affine.lean,Mathlib/LinearAlgebra/AffineSpace/AffineMap.lean,Mathlib/LinearAlgebra/AffineSpace/Basis.lean,Mathlib/LinearAlgebra/AffineSpace/Combination.lean,Mathlib/LinearAlgebra/Alternating/Basic.lean,Mathlib/LinearAlgebra/Basis/Defs.lean,Mathlib/LinearAlgebra/Basis/SMul.lean,Mathlib/LinearAlgebra/BilinearForm/DualLattice.lean,Mathlib/LinearAlgebra/BilinearForm/Hom.lean,Mathlib/LinearAlgebra/BilinearForm/Orthogonal.lean,Mathlib/LinearAlgebra/BilinearForm/Properties.lean,Mathlib/LinearAlgebra/Center.lean,Mathlib/LinearAlgebra/Charpoly/Basic.lean,Mathlib/LinearAlgebra/CliffordAlgebra/BaseChange.lean,Mathlib/LinearAlgebra/CliffordAlgebra/Contraction.lean,Mathlib/LinearAlgebra/CliffordAlgebra/Equivs.lean,Mathlib/LinearAlgebra/CliffordAlgebra/Even.lean,Mathlib/LinearAlgebra/CliffordAlgebra/EvenEquiv.lean,Mathlib/LinearAlgebra/Contraction.lean,Mathlib/LinearAlgebra/CrossProduct.lean,Mathlib/LinearAlgebra/Determinant.lean,Mathlib/LinearAlgebra/Dimension/Free.lean,Mathlib/LinearAlgebra/Dual/Basis.lean,Mathlib/LinearAlgebra/Dual/Defs.lean,Mathlib/LinearAlgebra/Dual/Lemmas.lean,Mathlib/LinearAlgebra/Eigenspace/Basic.lean,Mathlib/LinearAlgebra/Eigenspace/Triangularizable.lean,Mathlib/LinearAlgebra/Eigenspace/Zero.lean,Mathlib/LinearAlgebra/ExteriorAlgebra/OfAlternating.lean,Mathlib/LinearAlgebra/Finsupp/LSum.lean,Mathlib/LinearAlgebra/LinearPMap.lean,Mathlib/LinearAlgebra/Matrix/Ideal.lean,Mathlib/LinearAlgebra/Matrix/Kronecker.lean,Mathlib/LinearAlgebra/Matrix/SesquilinearForm.lean,Mathlib/LinearAlgebra/Matrix/ToLin.lean,Mathlib/LinearAlgebra/Multilinear/Basic.lean,Mathlib/LinearAlgebra/Pi.lean,Mathlib/LinearAlgebra/PiTensorProduct.lean |
162 |
4 |
['Vierkantor', 'github-actions', 'mathlib-merge-conflicts', 'mcdoll'] |
nobody |
0-28871 8 hours ago |
0-28872 7 hours ago |
3-2318 3 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
merge-conflict
|
319/0 |
Mathlib.lean,Mathlib/RingTheory/Bialgebra/Primitive.lean,Mathlib/RingTheory/HopfAlgebra/Generators.lean,Mathlib/RingTheory/HopfAlgebra/Primitive.lean |
4 |
4 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
0-28746 7 hours ago |
0-28747 7 hours ago |
23-17208 23 days |
| 40013 |
WilliamCoram author:WilliamCoram |
feat: define bounded sets and power bounded elements |
We define bounded sets, so that we can define power bounded elements in a topological ring. Using this we generalise some notions of topoligcally nilpotent elements and define a residue field.
AI usage: some proofs were initially generated with Claude code before being cleaned and/or rewritten by hand.
---
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t-topology
LLM-generated
large-import
merge-conflict
|
431/5 |
Mathlib.lean,Mathlib/Topology/Algebra/Bounded.lean,Mathlib/Topology/Algebra/PowerBounded.lean,Mathlib/Topology/Algebra/TopologicallyNilpotent.lean |
4 |
12 |
['ADedecker', 'WilliamCoram', 'github-actions', 'mathlib-merge-conflicts', 'vihdzp', 'wwylele'] |
urkud assignee:urkud |
0-28622 7 hours ago |
0-28623 7 hours ago |
15-67250 15 days |
| 40223 |
felixpernegger author:felixpernegger |
chore: replace `by exact` occurences |
Basically: Replace `by exact abc` with `abc` whenever it works.
---
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merge-conflict |
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 |
61 |
['JovanGerb', 'b-mehta', 'felixpernegger', 'github-actions', 'leanprover-radar', 'mathlib-bors', 'mathlib-merge-conflicts'] |
nobody |
0-28619 7 hours ago |
0-28619 7 hours ago |
11-51875 11 days |
| 37598 |
IvanRenison author:IvanRenison |
feat(Combinatorics/SimpleGraph/Coloring): add lemmas about coloring and maps |
---
Idea from this Zulip thread: [graph theory>Second Order Monadic Logic for Graph](https://leanprover.zulipchat.com/#narrow/channel/252551-graph-theory/topic/Second.20Order.20Monadic.20Logic.20for.20Graph/with/583013775)
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|
t-combinatorics
maintainer-merge
merge-conflict
|
32/11 |
Mathlib/Combinatorics/SimpleGraph/Coloring/Vertex.lean,Mathlib/Combinatorics/SimpleGraph/Maps.lean |
2 |
35 |
['IvanRenison', 'SnirBroshi', 'YaelDillies', 'b-mehta', 'github-actions', 'mathlib-bors', 'mathlib-merge-conflicts', 'vlad902'] |
nobody |
0-12979 3 hours ago |
5-12110 5 days ago |
63-70840 63 days |
| Number |
Author |
Title |
Description |
Labels |
+/- |
Modified files (first 100) |
📝 |
💬 |
All users who commented or reviewed |
Assignee(s) |
Updated |
Last status change |
total time in review |
| 14563 |
awueth author:awueth |
feat: if-then-else of exclusive or statement |
---
<!-- The text above the `---` will become the commit message when your
PR is merged. Please leave a blank newline before the `---`, otherwise
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If `¬(P ∧ Q)` then `ite (P ∨ Q) a 1 = (ite P a 1) * (ite Q a 1)`
[](https://gitpod.io/from-referrer/)
|
awaiting-author
t-algebra
new-contributor
label:t-algebra$ |
5/0 |
Mathlib/Algebra/Group/Basic.lean |
1 |
3 |
['eric-wieser', 'github-actions', 'kim-em'] |
nobody |
672-568 1 year ago |
702-47550 702 days ago |
6-38745 6 days |
| 12751 |
Command-Master author:Command-Master |
feat: add lemmas for Nat/Bits, Nat/Bitwise and Nat/Size |
Remove `@[simp]` from `Nat.bit_false` and `Nat.bit_true`, as `bit0` and `bit1` are deprecated, and add some lemmas to `Bits`, `Bitwise` and `Size`.
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-data
new-contributor
|
66/7 |
Mathlib/Data/Nat/Bits.lean,Mathlib/Data/Nat/Bitwise.lean,Mathlib/Data/Nat/Multiplicity.lean,Mathlib/Data/Nat/Size.lean |
4 |
26 |
['Command-Master', 'Rida-Hamadani', 'Ruben-VandeVelde', 'YaelDillies', 'github-actions', 'jcommelin'] |
nobody |
667-71877 1 year ago |
702-78099 702 days ago |
56-40668 56 days |
| 14669 |
Command-Master author:Command-Master |
feat(Data/Nat/PartENat): add lemmas for PartENat |
Add some missing lemmas for `PartENat`, as well as the additive homomorphism from it to `WithTop Int`.
---
<!-- The text above the `---` will become the commit message when your
PR is merged. Please leave a blank newline before the `---`, otherwise
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[](https://gitpod.io/from-referrer/)
|
awaiting-author
t-data
new-contributor
merge-conflict
|
90/0 |
Mathlib/Data/Nat/PartENat.lean |
1 |
4 |
['erdOne', 'github-actions', 'mathlib-merge-conflicts', 'urkud'] |
nobody |
654-83767 1 year ago |
706-4889 706 days ago |
0-6775 1 hour |
| 15121 |
Eloitor author:Eloitor |
feat: iff theorems for IsSplitEpi and IsSplitMono in opposite category |
---
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[](https://gitpod.io/from-referrer/)
|
awaiting-author
t-category-theory
new-contributor
|
40/0 |
Mathlib/CategoryTheory/EpiMono.lean |
1 |
3 |
['github-actions', 'joelriou', 'mattrobball'] |
nobody |
654-46712 1 year ago |
686-5971 686 days ago |
7-3203 7 days |
| 14242 |
js2357 author:js2357 |
feat: Prove equivalence of `isDedekindDomain` and `isDedekindDomainDvr` |
Prove that `isDedekindDomainDvr` is equivalent to both `isDedekindDomain` and `isDedekindDomainInv`.
Specifically, prove `isDedekindDomainDvr A → isDedekindDomainInv A`, because `isDedekindDomain A → isDedekindDomainDvr A` and `IsDedekindDomain A ↔ IsDedekindDomainInv A` are already in Mathlib.
- [x] depends on: #14099
- [x] depends on: #14216
- [ ] depends on: #14237
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebra
blocked-by-other-PR
new-contributor
label:t-algebra$ |
269/1 |
Mathlib.lean,Mathlib/RingTheory/DedekindDomain/Dvr.lean,Mathlib/RingTheory/FractionalIdeal/LocalizedAtPrime.lean,Mathlib/RingTheory/Localization/Basic.lean |
4 |
2 |
['github-actions', 'leanprover-community-mathlib4-bot'] |
nobody |
631-57771 1 year ago |
719-46718 719 days ago |
0-273 4 minutes |
| 16887 |
metinersin author:metinersin |
feat(ModelTheory/Complexity): define conjunctive and disjunctive formulas |
Defines `FirstOrder.Language.BoundedFormula.IsConjunctive` and `FirstOrder.Language.BoundedFormula.IsDisjunctive`.
---
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- [ ] depends on: #16885
[](https://gitpod.io/from-referrer/)
|
merge-conflict
blocked-by-other-PR
new-contributor
t-logic
|
300/7 |
Mathlib/ModelTheory/Complexity.lean,Mathlib/ModelTheory/Equivalence.lean,Mathlib/ModelTheory/Syntax.lean |
3 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
623-53749 1 year ago |
638-81823 638 days ago |
0-1299 21 minutes |
| 16888 |
metinersin author:metinersin |
feat(ModelTheory/Complexity): Define conjunctive and disjunctive normal forms |
Define `FirstOrder.Language.BoundedFormula.IsDNF` and `FirstOrder.Language.BoundedFormula.IsCNF`.
---
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- [ ] depends on: #16887
[](https://gitpod.io/from-referrer/)
|
merge-conflict
blocked-by-other-PR
new-contributor
t-logic
|
415/7 |
Mathlib/ModelTheory/Complexity.lean,Mathlib/ModelTheory/Equivalence.lean,Mathlib/ModelTheory/Syntax.lean |
3 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
623-53749 1 year ago |
638-81824 638 days ago |
0-1045 17 minutes |
| 16889 |
metinersin author:metinersin |
feat(ModelTheory/Complexity): Normal forms |
Defines `FirstOrder.Language.BoundedFormula.toDNF` and `FirstOrder.Language.BoundedFormula.toCNF` - given a quantifier-free formula, these construct a semantically equivalent formula in disjunctive normal form and conjunctive normal form, respectively.
---
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- [ ] depends on: #16888
[](https://gitpod.io/from-referrer/)
|
merge-conflict
blocked-by-other-PR
new-contributor
t-logic
|
525/7 |
Mathlib/ModelTheory/Complexity.lean,Mathlib/ModelTheory/Equivalence.lean,Mathlib/ModelTheory/Syntax.lean |
3 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
623-53748 1 year ago |
638-77574 638 days ago |
0-613 10 minutes |
| 14619 |
Command-Master author:Command-Master |
chore: Merge `Trunc` to `Squash` |
Remove `Trunc` and use `Squash` instead
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
WIP
new-contributor
|
197/211 |
Mathlib/CategoryTheory/EpiMono.lean,Mathlib/CategoryTheory/Preadditive/Biproducts.lean,Mathlib/Data/DFinsupp/Basic.lean,Mathlib/Data/Fintype/Basic.lean,Mathlib/Data/Fintype/Card.lean,Mathlib/Data/Fintype/Option.lean,Mathlib/Data/Fintype/Perm.lean,Mathlib/Data/Fintype/Quotient.lean,Mathlib/Data/Quot.lean,Mathlib/Data/Semiquot.lean,Mathlib/GroupTheory/Perm/Cycle/Factors.lean,Mathlib/GroupTheory/Perm/Sign.lean,Mathlib/Logic/Equiv/List.lean |
13 |
3 |
['Command-Master', 'github-actions', 'vihdzp'] |
nobody |
614-13899 1 year ago |
unknown |
0-0 0 seconds |
| 12750 |
Command-Master author:Command-Master |
feat: define Gray code |
---
Define binary reflected gray code, both as a permutation of `Nat` and as a permutation of `BitVec n`, and prove some theorems about them. Additionally, remove `@[simp]` from `Nat.bit_false` and `Nat.bit_true`, as `bit0` and `bit1` are deprecated, and add some lemmas to `Bits`, `Bitwise` and `Size`.
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- [ ] depends on: #xyz [optional extra text]
-->
- [ ] depends on: #12751
[](https://gitpod.io/from-referrer/)
|
blocked-by-other-PR
t-data
new-contributor
merge-conflict
awaiting-author
|
226/0 |
Mathlib.lean,Mathlib/Data/Nat/Bits.lean,Mathlib/Data/Nat/Bitwise.lean,Mathlib/Data/Nat/GrayCode.lean,Mathlib/Data/Nat/Size.lean |
5 |
5 |
['Rida-Hamadani', 'alreadydone', 'github-actions', 'grunweg', 'leanprover-community-mathlib4-bot'] |
nobody |
605-76406 1 year ago |
754-58504 754 days ago |
16-49744 16 days |
| 14598 |
Command-Master author:Command-Master |
chore: add typeclasses to unify various `add_top`, `add_eq_top`, etc. |
Add the four typeclasses `IsTopAbsorbing`, `IsBotAbsorbing`, `NoTopSum`, `NoBotSum`, as additive equivalents for `MulZeroClass` and `NoZeroDivisors`. Add instances of these for `ENNReal`, `WithTop α`, `WithBot α`, `PUnit`, `EReal`, `PartENat`, `Measure`, `Interval` and `Filter`.
Also split `Algebra/Order/AddGroupWithTop` to `Algebra/Order/Group/WithTop` and `Algebra/Order/Monoid/WithTop`
---
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Previous usages of lemmas with quantified names like `WithTop.add_top` have to be changed to just `add_top`.
`add_lt_top` is `@[simp]`, in accordance with `ENNReal.add_lt_top` being `@[simp]`. This affects `WithTop.add_lt_top` which previously hadn't been `@[simp]`.
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebra
t-order
new-contributor
label:t-algebra$ |
264/195 |
Archive/Wiedijk100Theorems/BallotProblem.lean,Mathlib.lean,Mathlib/Algebra/Order/Group/WithTop.lean,Mathlib/Algebra/Order/GroupWithZero/Canonical.lean,Mathlib/Algebra/Order/Interval/Basic.lean,Mathlib/Algebra/Order/Monoid/Unbundled/Basic.lean,Mathlib/Algebra/Order/Monoid/Unbundled/Defs.lean,Mathlib/Algebra/Order/Monoid/Unbundled/WithTop.lean,Mathlib/Algebra/Order/Monoid/WithTop.lean,Mathlib/Algebra/PUnitInstances/Order.lean,Mathlib/Algebra/Polynomial/Degree/Definitions.lean,Mathlib/Algebra/Polynomial/Monic.lean,Mathlib/Algebra/Tropical/Basic.lean,Mathlib/Analysis/Analytic/Meromorphic.lean,Mathlib/Analysis/Normed/Lp/ProdLp.lean,Mathlib/Analysis/NormedSpace/ENorm.lean,Mathlib/Analysis/SpecialFunctions/JapaneseBracket.lean,Mathlib/Analysis/SpecialFunctions/Log/ENNRealLog.lean,Mathlib/Data/ENNReal/Operations.lean,Mathlib/Data/ENat/Basic.lean,Mathlib/Data/Nat/PartENat.lean,Mathlib/Data/Nat/WithBot.lean,Mathlib/Data/Real/EReal.lean,Mathlib/LinearAlgebra/Lagrange.lean,Mathlib/MeasureTheory/Covering/Differentiation.lean,Mathlib/MeasureTheory/Decomposition/Lebesgue.lean,Mathlib/MeasureTheory/Function/ConditionalExpectation/CondexpL1.lean,Mathlib/MeasureTheory/Function/Jacobian.lean,Mathlib/MeasureTheory/Function/L1Space.lean,Mathlib/MeasureTheory/Function/L2Space.lean,Mathlib/MeasureTheory/Function/LpSeminorm/Basic.lean,Mathlib/MeasureTheory/Function/LpSeminorm/TriangleInequality.lean,Mathlib/MeasureTheory/Function/LpSpace.lean,Mathlib/MeasureTheory/Function/StronglyMeasurable/Basic.lean,Mathlib/MeasureTheory/Function/UniformIntegrable.lean,Mathlib/MeasureTheory/Integral/Bochner.lean,Mathlib/MeasureTheory/Integral/MeanInequalities.lean,Mathlib/MeasureTheory/Integral/SetIntegral.lean,Mathlib/MeasureTheory/Integral/VitaliCaratheodory.lean,Mathlib/MeasureTheory/Measure/Hausdorff.lean,Mathlib/MeasureTheory/Measure/Lebesgue/Basic.lean,Mathlib/MeasureTheory/Measure/LevyProkhorovMetric.lean,Mathlib/MeasureTheory/Measure/MeasureSpace.lean,Mathlib/MeasureTheory/Measure/MeasureSpaceDef.lean,Mathlib/MeasureTheory/Measure/Regular.lean,Mathlib/MeasureTheory/Measure/Typeclasses.lean,Mathlib/NumberTheory/Padics/PadicNumbers.lean,Mathlib/Order/Filter/Pointwise.lean,Mathlib/Probability/Kernel/Defs.lean,Mathlib/Probability/Martingale/Convergence.lean,Mathlib/RingTheory/Multiplicity.lean,Mathlib/RingTheory/MvPowerSeries/NoZeroDivisors.lean,Mathlib/RingTheory/UniqueFactorizationDomain.lean,Mathlib/Topology/EMetricSpace/Defs.lean,Mathlib/Topology/MetricSpace/Bounded.lean,Mathlib/Topology/MetricSpace/HausdorffDistance.lean,Mathlib/Topology/MetricSpace/Lipschitz.lean |
57 |
30 |
['Command-Master', 'YaelDillies', 'github-actions'] |
nobody |
589-18282 1 year ago |
589-18282 589 days ago |
7-45599 7 days |
| 16885 |
metinersin author:metinersin |
feat(ModelTheory/Complexity): define literals |
Defines `FirstOrder.Language.BoundedFormula.IsLiteral` and `FirstOrder.Language.BoundedFormula.simpleNot` - an auxiliary operation that takes the negation of a formula and does some simplification.
---
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- [x] depends on: #16800
[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
new-contributor
t-logic
|
148/5 |
Mathlib/ModelTheory/Complexity.lean,Mathlib/ModelTheory/Equivalence.lean,Mathlib/ModelTheory/Semantics.lean,Mathlib/ModelTheory/Syntax.lean |
4 |
20 |
['YaelDillies', 'awainverse', 'github-actions', 'mathlib4-dependent-issues-bot', 'metinersin'] |
nobody |
586-60803 1 year ago |
622-50115 622 days ago |
0-19926 5 hours |
| 13248 |
hcWang942 author:hcWang942 |
feat: basic concepts of auction theory |
## Description
Formalise some core concepts and results in auction theory: this includes definitions for first-price and second-price auctions, as well as several fundamental results and helping lemmas.
This is the very first PR of the project formalizing core concepts and results in auction theory.
Our group is working on more contributions on the formalization of game theory prefix.
Co-authored-by: Ma Jiajun <hoxide@gmail.com>
## Reference
Roughgarden, Tim. ***Twenty Lectures on Algorithmic Game Theory***. Cambridge University Press, 2020. [Link](https://www.cambridge.org/core/books/twenty-lectures-on-algorithmic-game-theory/A9D9427C8F43E7DAEF8C702755B6D72B)
---
- [x] Will depend on #14163 once that PR is merged. The Fintype lemmas introduced by this PR have been added in that PR and will be removed from here once that PR gets merged
## Current plan for formalization of Game Theory
The current plan for the formalizing of Game Theory include:
#### 1. Auction Theory. 🎉 _(200+ lines, this PR)_
- Essential definitions of Sealed-bid auction, First-price auction and Second-price auction.
- First-price auction has no dominant strategy.
- Second-price auction has dominant strategy. (Second-price auction is DSIC)
#### 2. Mechanism design & Myerson's Lemma. 🎉 (400+ lines, pending for modification to Mathlib Standard)
- Mechanism design
An allocation rule is implementable if there exists
- Dominant Strategy Incentive Compatible (DSIC) payment rule
- An allocation rule is monotone if for every bidder’s gain is nondecreasing w.r.t. her/his bid
- Myerson's Lemma
Implementable ⇔ Monotone
In the above case, the DSIC payment rule is unique.
#### 3. von Neumann‘s Minimax Theorem. 🎉 (800+ lines, pending for modification to Mathlib Standard)
- Equilibrium in zero sum game
- Formalization strategy: via Loomis’s theorem.
#### 4. Nash Equilibrium. 🎉 (pending for modification to Mathlib Standard)
#### 5. Brouwer fixed-point theorem. (Work in Progress)
#### 6. More Mechanism design. (Planning)
|
merge-conflict
awaiting-author
new-contributor
t-logic
|
204/0 |
Mathlib.lean,Mathlib/GameTheory/Auction/Basic.lean,docs/references.bib |
3 |
148 |
['Shreyas4991', 'YaelDillies', 'eric-wieser', 'faenuccio', 'github-actions', 'grunweg', 'hcWang942', 'tb65536', 'urkud', 'vihdzp'] |
hcWang942 assignee:hcWang942 |
582-13235 1 year ago |
595-85823 595 days ago |
109-82807 109 days |
| 19125 |
yhtq author:yhtq |
feat: add theorems to transfer `IsGalois` between pairs of fraction rings |
feat: add theorems to transfer `IsGalois` between pairs of fraction rings.
- [x] depends on: #18404
- [x] depends on: #19124
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebra
new-contributor
label:t-algebra$ |
121/0 |
Mathlib.lean,Mathlib/FieldTheory/Galois/IsFractionRing.lean,Mathlib/RingTheory/Localization/FractionRing.lean |
3 |
3 |
['github-actions', 'mathlib4-dependent-issues-bot', 'tb65536'] |
nobody |
552-35652 1 year ago |
578-83434 578 days ago |
0-1980 33 minutes |
| 17739 |
Aaron1011 author:Aaron1011 |
feat(Topology/Order/DenselyOrdered): prove Not (IsOpen) for intervals |
Prove that Iic/Ici/Ioc/Ico/Icc intervals are not open in densely ordered topologies with no min/max element
---
[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-topology
new-contributor
|
27/0 |
Mathlib/Topology/Order/DenselyOrdered.lean |
1 |
8 |
['github-actions', 'vihdzp'] |
nobody |
518-57664 1 year ago |
611-49234 611 days ago |
0-4704 1 hour |
| 15711 |
znssong author:znssong |
feat(Combinatorics/SimpleGraph): Some lemmas about walk, cycle and Hamiltonian cycle |
---
These lemmas are separated from the `meow-sister/BondyChvatal` branch and will be needed for the proof of the Bondy-Chvátal theorem.
- [x] depends on: #15536
- [x] depends on: #16294 |
merge-conflict
awaiting-author
t-combinatorics
new-contributor
|
407/3 |
Mathlib/Combinatorics/SimpleGraph/Finite.lean,Mathlib/Combinatorics/SimpleGraph/Hamiltonian.lean,Mathlib/Combinatorics/SimpleGraph/Path.lean,Mathlib/Combinatorics/SimpleGraph/Walk.lean |
4 |
22 |
['Rida-Hamadani', 'YaelDillies', 'github-actions', 'mathlib4-dependent-issues-bot', 'znssong'] |
nobody |
517-76750 1 year ago |
639-1511 639 days ago |
9-13962 9 days |
| 15720 |
znssong author:znssong |
feat(SimpleGraph): The Bondy-Chvátal theorem |
The proof of the Bondy-Chvátal theorem, with Dirac's theorem and Ore's theorem as its corollary.
- [x] depends on: #15536
- [ ] depends on: #15711
- [ ] depends on: #15578 |
merge-conflict
blocked-by-other-PR
t-combinatorics
new-contributor
|
903/3 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/BondyChvatal.lean,Mathlib/Combinatorics/SimpleGraph/Finite.lean,Mathlib/Combinatorics/SimpleGraph/Hamiltonian.lean,Mathlib/Combinatorics/SimpleGraph/Path.lean,Mathlib/Combinatorics/SimpleGraph/Walk.lean,Mathlib/Dynamics/FixedPoints/Basic.lean,Mathlib/Dynamics/FixedPoints/Increasing.lean |
8 |
3 |
['github-actions', 'grunweg'] |
nobody |
517-76750 1 year ago |
675-7704 675 days ago |
0-1791 29 minutes |
| 18629 |
tomaz1502 author:tomaz1502 |
feat(Computability.Timed): Formalization of runtime complexity of List.merge |
This PR adds the formalization of the runtime complexity of the merge function, defined in `Data/List/Sort`.
Requires: https://github.com/leanprover-community/mathlib4/pull/15450
References:
- Previous PR on mathlib3: https://github.com/leanprover-community/mathlib3/pull/14494/
- First discussion on Zulip: https://leanprover.zulipchat.com/#narrow/stream/113488-general/topic/BSc.20Final.20Project/near/220647062
- Second disussion on Zulip: https://leanprover.zulipchat.com/#narrow/stream/113488-general/topic/Formalization.20of.20Runtime.20Complexity.20of.20Sorting.20Algorithms/near/284184450
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-computability
awaiting-author
new-contributor
|
186/0 |
Mathlib.lean,Mathlib/Computability/Timed/InsertionSort.lean,Mathlib/Computability/Timed/Merge.lean |
3 |
2 |
['github-actions', 'trivial1711'] |
nobody |
517-42669 1 year ago |
557-42282 557 days ago |
33-11262 33 days |
| 18461 |
hannahfechtner author:hannahfechtner |
feat: left and right common multiples mixins |
add mixins for left and right common multiples. These carry the data of what factors are used to create the common multiples
---
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PR is merged. Please leave a blank newline before the `---`, otherwise
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-->
[](https://gitpod.io/from-referrer/)
|
awaiting-author
t-algebra
new-contributor
label:t-algebra$ |
78/0 |
Mathlib/Algebra/Group/Defs.lean |
1 |
13 |
['github-actions', 'hannahfechtner', 'jcommelin', 'kbuzzard', 'kim-em', 'trivial1711'] |
nobody |
514-3849 1 year ago |
514-3849 514 days ago |
69-35596 69 days |
| 19291 |
PieterCuijpers author:PieterCuijpers |
feat(Algebra/Order/Hom): add quantale homomorphism |
Definition of quantale homomorphisms as functions that are both semigroup homomorphisms and complete lattice homomorphisms.
---
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- [x] depends on: #19810
- [x] depends on: #19811
[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-algebra
new-contributor
label:t-algebra$ |
209/0 |
Mathlib.lean,Mathlib/Algebra/Order/Hom/Quantale.lean,scripts/noshake.json |
3 |
29 |
['PieterCuijpers', 'YaelDillies', 'github-actions', 'kim-em', 'mathlib4-dependent-issues-bot'] |
nobody |
512-64328 1 year ago |
518-31729 518 days ago |
29-51482 29 days |
| 20372 |
jvlmdr author:jvlmdr |
feat(MeasureTheory/Function): Add ContinuousLinearMap.bilinearCompLp(L) |
Introduce ContinuousLinearMap.bilinearCompLp and bilinearCompLpL.
Generalize eLpNorm_le_eLpNorm_mul_eLpNorm theorems to include constant C in bound condition.
---
Expect this may be useful for defining tempered distributions from functions in `L^p`.
The definitions more or less follow `ContinuousLinearMap.compLp...`. Names are loosely analogous to `ContinuousLinearMap.bilinearComp` and `SchwartzMap.bilinLeftCLM`.
Note: I preferred the spelling `hpqr : p⁻¹ + q⁻¹ = r⁻¹` with `f` in `L^p` and `g` in `L^q` to `hpqr : 1 / p = 1 / q + 1 / r`. It's easier to obtain from `ENNReal.IsConjExponent` too.
A few questions:
- [ ] I defined `bilinear{Left,Right}LpL` in addition to `bilinearCompLpL` because `LinearMap.mkContinuous₂` is marked as `noncomputable` and `LinearMap.mkContinuous` is not. Is this worth the extra definitions? (Note: This is not visible in the source due to `noncomputable section`.)
- [ ] Should I use `C : ℝ` instead of `C : NNReal` for `eLpNorm_le_eLpNorm_mul_eLpNorm'_of_norm'`?
- [ ] Is it going to be painful to have `[Fact (1 ≤ p)] [Fact (1 ≤ q)] [Fact (1 ≤ r)]`? I don't think there's a way to avoid it though. Maybe providing specialized versions for `p.IsConjExponent q` with `L^1`?
Naming:
- [ ] Is it satisfactory to add a `'` to the `eLpNorm_le_eLpNorm_mul_eLpNorm ` definitions in `CompareExp.lean` where `≤ ‖f x‖ * ‖g x‖` has been replaced with `≤ C * ‖f x‖ * ‖g x‖`? These could replace the existing theorems, although I don't want to break backwards compatibility. There are 5 instances: `eLpNorm_le_eLpNorm_top_mul_eLpNorm'`, `eLpNorm_le_eLpNorm_mul_eLpNorm_top'`, `eLpNorm'_le_eLpNorm'_mul_eLpNorm''`, `eLpNorm_le_eLpNorm_mul_eLpNorm_of_nnnorm'`, `eLpNorm_le_eLpNorm_mul_eLpNorm'_of_norm'` (I'm not sure why the existing theorem `eLpNorm_le_eLpNorm_mul_eLpNorm'_of_norm` has an internal `'`)
- [ ] Is `bilinearLeftLpL` a suitable name? Other options: `bilinearCompLpLeftL`, `bilinearCompLeftLpL`, `bilinLeftLpL` (analogous to `SchwartzMap.bilinLeftCLM`)
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|
merge-conflict
t-measure-probability
new-contributor
|
203/40 |
Mathlib/MeasureTheory/Function/LpSeminorm/CompareExp.lean,Mathlib/MeasureTheory/Function/LpSpace.lean |
2 |
1 |
['github-actions'] |
nobody |
505-81676 1 year ago |
505-81676 505 days ago |
27-43617 27 days |
| 20248 |
peabrainiac author:peabrainiac |
feat(Topology/Compactness): first-countable locally path-connected spaces are delta-generated |
Shows that all first-countable locally path-connected spaces are delta-generated (so in particular all normed spaces and convex subsets thereof are), and that delta-generated spaces are equivalently generated by the unit interval or standard simplices.
---
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- [ ] depends on: #21616
In principle, this should be close to all that's required to show that all simplicial complexes and CW-complexes are delta-generated; I just haven't done it yet because I'm not sure which file to best do it in.
[](https://gitpod.io/from-referrer/)
|
blocked-by-other-PR
large-import
new-contributor
merge-conflict
awaiting-author
t-topology
|
1189/813 |
Mathlib.lean,Mathlib/Geometry/Manifold/ChartedSpace.lean,Mathlib/Topology/Algebra/Module/LocallyConvex.lean,Mathlib/Topology/Compactness/DeltaGeneratedSpace.lean,Mathlib/Topology/Connected/LocPathConnected.lean,Mathlib/Topology/Connected/PathConnected.lean,Mathlib/Topology/ContinuousOn.lean,Mathlib/Topology/Homotopy/HSpaces.lean,Mathlib/Topology/Path.lean |
9 |
22 |
['YaelDillies', 'github-actions', 'kbuzzard', 'mathlib4-dependent-issues-bot', 'peabrainiac'] |
nobody |
493-38986 1 year ago |
500-3503 500 days ago |
39-21495 39 days |
| 19943 |
AlexLoitzl author:AlexLoitzl |
feat(Computability): Add Chomsky Normal Form Grammar and translation |
- Define Chomsky normal form grammars
- Add language-preserving translation between context-free grammars and Chomsky normal form grammars
Co-authored-by: Martin Dvorak martin.dvorak@matfyz.cz
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-computability
awaiting-author
new-contributor
|
3151/0 |
Mathlib.lean,Mathlib/Computability/ChomskyNormalForm/Basic.lean,Mathlib/Computability/ChomskyNormalForm/EmptyElimination.lean,Mathlib/Computability/ChomskyNormalForm/LengthRestriction.lean,Mathlib/Computability/ChomskyNormalForm/TerminalRestriction.lean,Mathlib/Computability/ChomskyNormalForm/Translation.lean,Mathlib/Computability/ChomskyNormalForm/UnitElimination.lean,Mathlib/Computability/ContextFreeGrammar.lean |
8 |
59 |
['AlexLoitzl', 'YaelDillies', 'github-actions', 'kim-em', 'madvorak'] |
nobody |
488-73085 1 year ago |
495-84707 495 days ago |
37-29014 37 days |
| 21501 |
sksgurdldi author:sksgurdldi |
feat(List): add sum_zipWith_eq_finset_sum |
### **Description:**
This PR adds the lemma `List.sum_zipWith_eq_finset_sum` to `Mathlib.Algebra.BigOperators.Group.Finset.Basic`.
#### **Statement:**
The sum of the `zipWith` operation on two lists equals the sum of applying the operation to corresponding elements of the two lists, indexed over the minimum of their lengths.
#### **Formal Statement:**
```lean
lemma sum_zipWith_eq_finset_sum [Inhabited α] [Inhabited β] [AddCommMonoid γ]
{op : α → β → γ}
(l : List α) (m : List β) :
(List.zipWith op l m).sum =
∑ x ∈ (Finset.range (Nat.min l.length m.length)), op (l[x]!) (m[x]!)
```
#### **Remarks:**
- This lemma provides a useful equivalence between `List.zipWith` and summation over a `Finset.range` indexed by `Nat.min l.length m.length`.
- It can be helpful in algebraic manipulations involving list-based summations.
#### **Dependencies:**
No additional dependencies.
---
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[](https://gitpod.io/from-referrer/)
|
awaiting-author
t-algebra
new-contributor
label:t-algebra$ |
43/0 |
Mathlib/Algebra/BigOperators/Group/Finset/Basic.lean |
1 |
1 |
['github-actions', 'j-loreaux'] |
nobody |
483-41856 1 year ago |
483-41856 483 days ago |
13-33168 13 days |
| 21959 |
BGuillemet author:BGuillemet |
feat(Topology/ContinuousMap): Stone-Weierstrass theorem for MvPolynomial |
Add the subalgebra of multivariate polynomials and prove it separates points, on the same model as `ContinuousMap/Polynomial.lean`.
Prove the Stone-Weierstrass theorem and some variations for multivariate polynomials.
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-topology
new-contributor
|
285/1 |
Mathlib.lean,Mathlib/Topology/ContinuousMap/MvPolynomial.lean,Mathlib/Topology/ContinuousMap/StoneWeierstrass.lean |
3 |
1 |
['github-actions'] |
nobody |
469-67697 1 year ago |
469-67697 469 days ago |
16-76141 16 days |
| 15578 |
znssong author:znssong |
feat(Function): Fixed points of function `f` with `f(x) >= x` |
We added some lemmas of fixed points of function `f` with `f(x) >= x`, where `f : α → α` is a function on a finite type `α`. This will be needed in proof of Bondy-Chvátal theorem.
---
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See also branch `meow-sister/BondyChvatal`.
[](https://gitpod.io/from-referrer/) |
merge-conflict
awaiting-author
t-analysis
new-contributor
|
82/0 |
Mathlib.lean,Mathlib/Dynamics/FixedPoints/Basic.lean,Mathlib/Dynamics/FixedPoints/Increasing.lean |
3 |
32 |
['Ruben-VandeVelde', 'YaelDillies', 'github-actions', 'urkud', 'vihdzp', 'znssong'] |
nobody |
461-63523 1 year ago |
644-66752 644 days ago |
29-48368 29 days |
| 21018 |
markimunro author:markimunro |
feat(Data/Matrix): add file with key definitions and theorems about elementary row operations |
Prove that each elementary row operation is equivalent to a multiplication by an elementary matrix, has another row operation which inverts it, and that each elementary matrix has a left inverse.
This is a very large PR and I understand it will take time. This is my first one and will likely have issues but I will be ready to answer questions/fix them as soon as possible.
Co-authored-by: Christopher Lynch <clynch@clarkson.edu>
---
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[](https://gitpod.io/from-referrer/)
|
t-data
enhancement
new-contributor
merge-conflict
awaiting-author
|
1230/0 |
Mathlib.lean,Mathlib/Data/Matrix/ElementaryRowOperations.lean,Mathlib/Data/Matrix/GaussianElimination.lean,Mathlib/Data/Matrix/GaussianEliminationOld,Mathlib/Data/Matrix/oldnames,et --hard 18533caba32,lean-toolchain |
7 |
17 |
['chrisflav', 'eric-wieser', 'github-actions', 'j-loreaux', 'markimunro'] |
nobody |
443-12522 1 year ago |
468-41478 468 days ago |
23-22681 23 days |
| 15212 |
victorliu5296 author:victorliu5296 |
feat: Add fundamental theorem of calculus-2 for Banach spaces |
add the Mean Value Theorem for Banach spaces to the library and include reference for the theorem statement
This theorem states that if `f : X → Y` is differentiable along the line segment from `a` to `b`, then the change in `f` equals the integral of its derivative along this path. This extends the mean value theorem to Banach spaces. This can be used for the eventual proof of the Newton-Kantorovich theorem with 1 constant contained inside the added reference.
Here is the discussion on Zulipchat: https://leanprover.zulipchat.com/#narrow/stream/287929-mathlib4/topic/Contributing.20FTC-2.20for.20Banach.20spaces |
t-measure-probability
new-contributor
merge-conflict
awaiting-author
t-analysis
|
60/1 |
Mathlib/MeasureTheory/Integral/FundThmCalculus.lean |
1 |
3 |
['github-actions', 'hrmacbeth', 'victorliu5296'] |
nobody |
438-7511 1 year ago |
631-71282 631 days ago |
51-85104 51 days |
| 22308 |
plp127 author:plp127 |
feat (Analysis/Convex): Generalize `Convex` lemmas to `StarConvex` |
This PR generalizes many lemmas assuming `Convex 𝕜 s` to assume `StarConvex 𝕜 0 s`.
---
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- [x] depends on: #22421
[](https://gitpod.io/from-referrer/)
|
merge-conflict
WIP
t-analysis
new-contributor
|
30/18 |
Mathlib/Analysis/Convex/Gauge.lean,Mathlib/Analysis/Convex/GaugeRescale.lean,Mathlib/Analysis/Convex/Star.lean,Mathlib/Analysis/LocallyConvex/AbsConvexOpen.lean |
4 |
5 |
['Paul-Lez', 'github-actions', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot'] |
nobody |
434-79831 1 year ago |
unknown |
0-0 0 seconds |
| 21488 |
imbrem author:imbrem |
feat(CategoryTheory/Monoidal): premonoidal categories |
Add support for premonoidal categories
---
Still want to add support for:
- Premonoidal braided/symmetric categories
- The monoidal coherence theorem, which I've already ported in my `discretion` library
- The `coherence` tactic, which should work fine for premonoidal categories too
but wanted to get this in front of reviewers ASAP to make sure my general approach was alright
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-category-theory
new-contributor
|
900/361 |
Mathlib/Algebra/Category/ModuleCat/Presheaf/Monoidal.lean,Mathlib/CategoryTheory/Bicategory/End.lean,Mathlib/CategoryTheory/GradedObject/Monoidal.lean,Mathlib/CategoryTheory/Localization/Monoidal.lean,Mathlib/CategoryTheory/Monoidal/Braided/Basic.lean,Mathlib/CategoryTheory/Monoidal/Category.lean,Mathlib/CategoryTheory/Monoidal/Center.lean,Mathlib/CategoryTheory/Monoidal/CoherenceLemmas.lean,Mathlib/CategoryTheory/Monoidal/Discrete.lean,Mathlib/CategoryTheory/Monoidal/End.lean,Mathlib/CategoryTheory/Monoidal/Free/Basic.lean,Mathlib/CategoryTheory/Monoidal/Functor.lean,Mathlib/CategoryTheory/Monoidal/FunctorCategory.lean,Mathlib/CategoryTheory/Monoidal/Mon_.lean,Mathlib/CategoryTheory/Monoidal/Opposite.lean,Mathlib/CategoryTheory/Monoidal/Transport.lean,Mathlib/Tactic/CategoryTheory/Monoidal/Datatypes.lean,Mathlib/Tactic/CategoryTheory/Monoidal/Normalize.lean,Mathlib/Tactic/CategoryTheory/Monoidal/PureCoherence.lean,Mathlib/Tactic/CategoryTheory/MonoidalComp.lean,MathlibTest/StringDiagram.lean |
21 |
9 |
['YaelDillies', 'github-actions', 'grunweg', 'imbrem', 'kim-em', 'leanprover-community-bot-assistant'] |
nobody |
434-76099 1 year ago |
434-76100 434 days ago |
58-6026 58 days |
| 20873 |
vbeffara author:vbeffara |
feat(Topology/Covering): path lifting and homotopy lifting |
This proves the existence and uniqueness of path and homotopy lifts through covering maps.
---
I tried to separate as much of the proof as possible into separate PRs (which are already in Mathlib now), but the proof here relies on a monolithic construction of an explicit lift along a well-chosen subdivision, in `partial_lift`, with associated definitions. Only one standalone lean file added.
An older WIP PR #10084 by Junyan Xu @alreadydone proves similar results using a very similar construction for path lifting, with a different argument to obtain continuity for homotopy lifting.
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-topology
new-contributor
|
281/1 |
Mathlib.lean,Mathlib/Topology/Covering/Basic.lean,Mathlib/Topology/Covering/Lift.lean |
3 |
9 |
['alreadydone', 'github-actions', 'grunweg', 'vbeffara'] |
nobody |
433-78827 1 year ago |
508-71587 508 days ago |
5-5648 5 days |
| 20313 |
thefundamentaltheor3m author:thefundamentaltheor3m |
feat(Data/Complex/Exponential): prove some useful results about the complex exponential. |
This PR proves two basic results about the complex exponential:
* `abs_exp_mul_I (x : ℂ) : abs (Complex.exp (I * x)) = Real.exp (-x.im)`
* `one_sub_rexp_re_le_abs_one_sub_cexp (x : ℂ) : 1 - Real.exp x.re ≤ Complex.abs (1 - Complex.exp x)`
Both results were proved as part of the sphere packing project. There's a chance they're too specific for mathlib, but I thought they were worth PRing anyway. Would it also be a good idea to tag `abs_exp_mul_I` with `simp`? Feedback/suggestions welcome.
Note: `one_sub_rexp_re_le_abs_one_sub_cexp` was proved by Bhavik Mehta @b-mehta
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-analysis
new-contributor
|
167/141 |
Mathlib.lean,Mathlib/Analysis/Complex/Basic.lean,Mathlib/Analysis/SpecialFunctions/Log/ERealExp.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Chebyshev.lean,Mathlib/Data/Complex/Exponential/Defs.lean,Mathlib/Data/Complex/Exponential/Lemmas.lean,Mathlib/Data/Complex/ExponentialBounds.lean,Mathlib/Tactic/FunProp.lean,MathlibTest/Recall.lean,MathlibTest/positivity.lean |
10 |
12 |
['b-mehta', 'github-actions', 'kim-em', 'thefundamentaltheor3m', 'trivial1711'] |
nobody |
426-50025 1 year ago |
509-61272 509 days ago |
8-42257 8 days |
| 20730 |
kuotsanhsu author:kuotsanhsu |
feat(LinearAlgebra/Matrix/SchurTriangulation): prove Schur decomposition/triangulation |
`Matrix.schur_triangulation` shows that a matrix over an algebraically closed field is unitarily similar to an upper triangular matrix
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-algebra
new-contributor
label:t-algebra$ |
317/2 |
Mathlib.lean,Mathlib/LinearAlgebra/Matrix/Block.lean,Mathlib/LinearAlgebra/Matrix/SchurTriangulation.lean,Mathlib/Logic/Equiv/Basic.lean |
4 |
14 |
['eric-wieser', 'github-actions', 'kim-em', 'kuotsanhsu'] |
nobody |
426-46157 1 year ago |
506-37130 506 days ago |
13-56244 13 days |
| 22809 |
b-reinke author:b-reinke |
feat: Category algebras and path algebras |
This PR defines the category algebra of a linear category and path algebras of quivers.
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[](https://gitpod.io/from-referrer/)
|
WIP
t-algebra
t-category-theory
new-contributor
label:t-algebra$ |
218/0 |
Mathlib/Algebra/Ring/Assoc.lean,Mathlib/CategoryTheory/Linear/CategoryAlgebra.lean,Mathlib/Combinatorics/Quiver/PathAlgebra.lean,Mathlib/Data/DFinsupp/BigOperators.lean |
4 |
2 |
['b-reinke', 'github-actions'] |
nobody |
411-10596 1 year ago |
unknown |
0-0 0 seconds |
| 15654 |
TpmKranz author:TpmKranz |
feat(Computability): language-preserving maps between NFA and RE |
Map REs to NFAs via Thompson's construction and NFAs to REs using GNFAs
Last chunk of #12648
---
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- [ ] depends on: #15651
- [ ] depends on: #15649
[](https://gitpod.io/from-referrer/)
|
blocked-by-other-PR
new-contributor
t-computability
merge-conflict
awaiting-zulip
|
985/2 |
Mathlib.lean,Mathlib/Computability/GNFA.lean,Mathlib/Computability/Language.lean,Mathlib/Computability/NFA.lean,Mathlib/Computability/RegularExpressions.lean,Mathlib/Data/FinEnum/Option.lean,docs/references.bib |
7 |
3 |
['github-actions', 'leanprover-community-mathlib4-bot', 'meithecatte'] |
nobody |
408-43275 1 year ago |
677-66460 677 days ago |
0-179 2 minutes |
| 24008 |
meithecatte author:meithecatte |
chore(EpsilonNFA): replace manual lemmas with @[simps] |
---
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[](https://gitpod.io/from-referrer/)
|
t-computability
awaiting-author
new-contributor
|
2/24 |
Mathlib/Computability/EpsilonNFA.lean |
1 |
2 |
['YaelDillies', 'github-actions', 'urkud'] |
nobody |
403-2454 1 year ago |
403-2454 403 days ago |
27-52316 27 days |
| 23349 |
BGuillemet author:BGuillemet |
feat: add LocallyLipschitzOn.lipschitzOnWith_of_isCompact and two small lemmas about Lipschitz functions |
Main feat (in Mathlib/Topology/EMetricSpace/Basic.lean): if a function `f` from an extended pseudometric space to a pseudometric space is locally Lipschitz on a compact subset `s`, then `f` is Lipschitz on `s`. The theorem is true only when the codomain of `f` is a pseudometric space, so it needs imports from Mathlib/Topology/MetricSpace.
Other small feat (in Mathlib/Analysis/Calculus/ContDiff/RCLike.lean): a function that is continuously differentiable on an open subset is locally Lipschitz on this subset.
---
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- [ ] depends on: #22890
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-topology
large-import
new-contributor
|
59/4 |
Mathlib/Analysis/Calculus/ContDiff/RCLike.lean,Mathlib/Topology/EMetricSpace/Lipschitz.lean |
2 |
4 |
['github-actions', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot'] |
PatrickMassot assignee:PatrickMassot |
386-61195 1 year ago |
386-61197 386 days ago |
35-30364 35 days |
| 12799 |
jstoobysmith author:jstoobysmith |
feat(LinearAlgebra/UnitaryGroup): Add properties of Special Unitary Group |
Add properties of the special unitary group, mirroring the properties of found in Algebra/Star/Unitary.lean. In particular, I add an instance of `specialUnitaryGroup` as a `Group`, `Star`, `InvolutiveStar`, and `StarMul`.
---
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[](https://gitpod.io/from-referrer/)
|
please-adopt
t-algebra
new-contributor
merge-conflict
awaiting-author
label:t-algebra$ |
78/0 |
Mathlib/LinearAlgebra/UnitaryGroup.lean |
1 |
8 |
['chrisflav', 'jcommelin', 'leanprover-community-bot-assistant'] |
nobody |
376-33148 1 year ago |
759-60801 759 days ago |
9-22045 9 days |
| 20334 |
miguelmarco author:miguelmarco |
feat: allow polyrith to use a local Singular/Sage install |
Try to call a local install of Singular (either standalone or inside Sage) to find the witness for polyrith before trying to call the online sage cell server.
---
[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
new-contributor
t-meta
|
171/48 |
Mathlib/Tactic/Polyrith.lean,scripts/polyrith_sage.py |
2 |
16 |
['eric-wieser', 'github-actions', 'hanwenzhu', 'kim-em', 'miguelmarco', 'mkoeppe'] |
nobody |
369-25701 1 year ago |
507-63682 507 days ago |
27-61498 27 days |
| 25218 |
kckennylau author:kckennylau |
feat(AlgebraicGeometry): Tate normal form of elliptic curves |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebraic-geometry
awaiting-zulip
new-contributor
|
291/26 |
Mathlib.lean,Mathlib/AlgebraicGeometry/EllipticCurve/IsomOfJ.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Modular/TateNormalForm.lean,Mathlib/AlgebraicGeometry/EllipticCurve/NormalForms.lean,Mathlib/AlgebraicGeometry/EllipticCurve/VariableChange.lean |
5 |
31 |
['MichaelStollBayreuth', 'Multramate', 'acmepjz', 'github-actions', 'grunweg', 'kckennylau', 'leanprover-community-bot-assistant'] |
nobody |
348-22462 11 months ago |
380-83979 380 days ago |
6-47693 6 days |
| 10190 |
jstoobysmith author:jstoobysmith |
feat(AlgebraicTopology): add Augmented Simplex Category |
- Added the definition of the category FinLinOrd of finite linear ordered sets.
- Added the definition of the augmented simplex category `AugmentedSimplexCategory`, and showed it is the Skeleton of FinLinOrd.
- Showed that the category of augmented simplicial objects defined as a comma category is equivalent to the category of functors from `AugmentedSimplexCategory^\op`
---
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[](https://gitpod.io/from-referrer/)
|
t-algebraic-topology
WIP
t-category-theory
new-contributor
merge-conflict
|
720/0 |
Mathlib.lean,Mathlib/AlgebraicTopology/AugmentedSimplexCategory.lean,Mathlib/AlgebraicTopology/SimplicialObject.lean,Mathlib/Order/Category/FinLinOrd.lean |
4 |
5 |
['TwoFX', 'YaelDillies', 'joelriou', 'jstoobysmith'] |
nobody |
321-81002 10 months ago |
858-73928 858 days ago |
7-63253 7 days |
| 25238 |
Hagb author:Hagb |
feat(Tactic/ComputeDegree): add support for scalar multiplication with different types |
It would be able to deal with `a • (X : R[X])` where `a : S` is in a different type `S` with `[SMulZeroClass S R]`.
---
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- [x] depends on: #25237
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-meta
new-contributor
|
17/5 |
Mathlib/Tactic/ComputeDegree.lean,MathlibTest/ComputeDegree.lean |
2 |
3 |
['github-actions', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot'] |
nobody |
318-793 10 months ago |
348-22462 348 days ago |
38-26044 38 days |
| 18646 |
jxjwan author:jxjwan |
feat(RingTheory): isotypic components |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-ring-theory
new-contributor
|
308/0 |
Mathlib/Order/CompactlyGenerated/Basic.lean,Mathlib/RingTheory/Isotypic.lean,Mathlib/RingTheory/SimpleModule.lean |
3 |
1 |
['github-actions'] |
nobody |
317-2814 10 months ago |
569-82807 569 days ago |
20-15640 20 days |
| 20671 |
thefundamentaltheor3m author:thefundamentaltheor3m |
feat(Analysis/Asymptotics/SpecificAsymptotics): Proving that 𝛔ₖ(n) = O(nᵏ⁺¹) |
This PR proves a result about the $\sigma_k(n)$ arithmetic function, namely, that it is $O\left(n^{k+1}\right)$. Main theorem:
`theorem sigma_asymptotic (k : ℕ) : (fun n ↦ (σ k n : ℝ)) =O[atTop] (fun n ↦ (n ^ (k + 1) : ℝ))`
This result was proved as part of the sphere packing project.
---
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[](https://gitpod.io/from-referrer/)
|
t-number-theory
new-contributor
large-import
merge-conflict
awaiting-author
|
29/0 |
Mathlib/Analysis/Asymptotics/SpecificAsymptotics.lean |
1 |
3 |
['b-mehta', 'github-actions', 'mathlib4-merge-conflict-bot'] |
b-mehta assignee:b-mehta |
312-6355 10 months ago |
512-67570 512 days ago |
9-59130 9 days |
| 20722 |
ctchou author:ctchou |
feat(Counterexamples): the Vitali set is non-measurable |
---
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[](https://gitpod.io/from-referrer/)
|
please-adopt
t-measure-probability
new-contributor
merge-conflict
awaiting-author
|
258/3 |
Counterexamples.lean,Counterexamples/VitaliSetNotMeasurable.lean,Mathlib/MeasureTheory/Measure/NullMeasurable.lean,docs/1000.yaml |
4 |
76 |
['ctchou', 'github-actions', 'grunweg', 'mathlib4-merge-conflict-bot', 'vihdzp'] |
vihdzp assignee:vihdzp |
305-82439 10 months ago |
519-74409 519 days ago |
0-47663 13 hours |
| 28502 |
gilesgshaw author:gilesgshaw |
feat(Logic/Basic): avoid unnecessary uses of choice |
Certain proofs are modified to remove a dependence on the axoim of choice
---
- [ ] depends on: #28623
|
blocked-by-other-PR
new-contributor
merge-conflict
awaiting-author
t-logic
|
83/74 |
Mathlib/Logic/Basic.lean |
1 |
7 |
['Ruben-VandeVelde', 'eric-wieser', 'gilesgshaw', 'github-actions', 'kim-em', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
nobody |
303-17851 9 months ago |
306-3380 306 days ago |
0-35689 9 hours |
| 19582 |
yu-yama author:yu-yama |
feat(GroupExtension/Abelian): define `OfMulDistribMulAction.equivH2` |
Mainly defines:
- `structure GroupExtension.OfMulDistribMulAction N G [MulDistribMulAction G N]`: group extensions of `G` by `N` where the multiplicative action of `G` on `N` is the conjugation
- `structure GroupExtension.OfMulDistribMulActionWithSection N G [MulDistribMulAction G N]`: group extensions with specific choices of sections
- `def GroupExtension.OfMulDistribMulAction.equivH2`: a bijection between the equivalence classes of group extensions and $H^2 (G, N)$
---
- [x] depends on: #20802 (split PR: contains changes to the `Defs` file)
- [x] depends on: #20998 (split PR: mainly adds the `Basic` file)
- [ ] depends on: #26670 (split PR: adds the first part of the `Abelian` file)
Here is a relevant TODO in Mathlib:
https://github.com/leanprover-community/mathlib4/blob/4e9fa40d7c480937e09cd6e47a591bd6f3b8be42/Mathlib/RepresentationTheory/GroupCohomology/LowDegree.lean#L46-L48
I would appreciate your comments.
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebra
blocked-by-other-PR
new-contributor
label:t-algebra$ |
750/14 |
Mathlib.lean,Mathlib/GroupTheory/GroupExtension/Abelian.lean,Mathlib/GroupTheory/GroupExtension/Defs.lean,docs/references.bib |
4 |
5 |
['YaelDillies', 'erdOne', 'github-actions', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
nobody |
300-54359 9 months ago |
523-24918 523 days ago |
43-22586 43 days |
| 27403 |
MoritzBeroRoos author:MoritzBeroRoos |
fix: replace probably erroneous usage of ⬝ (with old \cdot) by · (with \centerdot) |
Discussion at [zulip](https://leanprover.zulipchat.com/#narrow/channel/270676-lean4/topic/.5Ccdot.20!.3D.20.5Ccenterdot).
Currently the abbreviations \cdot and \centerdot resolve to different, with the naked eye nearly undistinguishable symbols (despite the c in cdot surely standing for center..).
This pr replaces instances of ⬝ where · was probably meant.
All of the replacement is in comments, except for the file bench_summary.lean which is used for priting the github benchmark results. Since this file is about scientific notation of numbers, sure · was meant to be used, not a rectangle.
[Related](https://github.com/leanprover-community/mathlib4/pull/27399)
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merge-conflict
new-contributor
|
195/195 |
Mathlib/Algebra/ContinuedFractions/Computation/Approximations.lean,Mathlib/Algebra/DirectSum/Idempotents.lean,Mathlib/Algebra/Lie/Derivation/Basic.lean,Mathlib/Algebra/Module/Equiv/Basic.lean,Mathlib/AlgebraicGeometry/EllipticCurve/DivisionPolynomial/Basic.lean,Mathlib/Analysis/Analytic/Constructions.lean,Mathlib/Analysis/CStarAlgebra/CStarMatrix.lean,Mathlib/Analysis/Calculus/ContDiff/Basic.lean,Mathlib/Analysis/Calculus/ContDiff/Bounds.lean,Mathlib/Analysis/Calculus/FDeriv/Symmetric.lean,Mathlib/Analysis/Fourier/FourierTransformDeriv.lean,Mathlib/Analysis/InnerProductSpace/Dual.lean,Mathlib/Analysis/InnerProductSpace/PiL2.lean,Mathlib/Analysis/Normed/Unbundled/InvariantExtension.lean,Mathlib/Analysis/SpecialFunctions/Complex/CircleAddChar.lean,Mathlib/Combinatorics/Configuration.lean,Mathlib/Combinatorics/SimpleGraph/AdjMatrix.lean,Mathlib/Combinatorics/SimpleGraph/LapMatrix.lean,Mathlib/Data/Matrix/Block.lean,Mathlib/Data/Matrix/ConjTranspose.lean,Mathlib/Data/Matrix/Hadamard.lean,Mathlib/Data/Matrix/Mul.lean,Mathlib/Data/Matrix/Notation.lean,Mathlib/Data/Matrix/Reflection.lean,Mathlib/Data/Matrix/RowCol.lean,Mathlib/Data/Matrix/Vec.lean,Mathlib/FieldTheory/PurelyInseparable/PerfectClosure.lean,Mathlib/Geometry/Manifold/GroupLieAlgebra.lean,Mathlib/GroupTheory/Coxeter/Matrix.lean,Mathlib/LinearAlgebra/CrossProduct.lean,Mathlib/LinearAlgebra/Matrix/BilinearForm.lean,Mathlib/LinearAlgebra/Matrix/DotProduct.lean,Mathlib/LinearAlgebra/Matrix/Nondegenerate.lean,Mathlib/LinearAlgebra/Matrix/Orthogonal.lean,Mathlib/LinearAlgebra/Matrix/PosDef.lean,Mathlib/LinearAlgebra/Matrix/SchurComplement.lean,Mathlib/LinearAlgebra/Matrix/SesquilinearForm.lean,Mathlib/LinearAlgebra/Matrix/Trace.lean,Mathlib/LinearAlgebra/Multilinear/Basic.lean,Mathlib/LinearAlgebra/PerfectPairing/Matrix.lean,Mathlib/LinearAlgebra/Projectivization/Constructions.lean,Mathlib/NumberTheory/NumberField/ProductFormula.lean,Mathlib/NumberTheory/SiegelsLemma.lean,Mathlib/RingTheory/DividedPowers/SubDPIdeal.lean,Mathlib/SetTheory/Ordinal/Veblen.lean,Mathlib/Topology/Algebra/Module/Equiv.lean,Mathlib/Topology/Homeomorph/Lemmas.lean,Mathlib/Topology/Instances/Matrix.lean,scripts/bench_summary.lean |
49 |
5 |
['eric-wieser', 'github-actions', 'grunweg', 'leanprover-community-bot-assistant'] |
nobody |
299-18940 9 months ago |
321-81262 321 days ago |
7-54661 7 days |
| 27399 |
MoritzBeroRoos author:MoritzBeroRoos |
chore: replace every usage of ⬝ᵥ (with old \cdot) by ·ᵥ (with \centerdot) |
Discussion at [zulip](https://leanprover.zulipchat.com/#narrow/channel/270676-lean4/topic/.5Ccdot.20!.3D.20.5Ccenterdot).
Currently the abbreviations `\cdot` and `\centerdot` resolve to different, with the naked eye nearly undistinguishable symbols (despite the c in cdot surely standing for `center`..):
- `\cdot` gives ⬝ [U+2B1D](https://www.compart.com/en/unicode/U+2B1D) "Black Very Small Square"
- `\centerdot` gives · [U+00B7](https://www.compart.com/en/unicode/U+00B7) "Middle Dot"
Mathlib mostly uses the `\centerdot` variant, except for the dotProduct notation and some probably unsuspecting people wanting \centerdot but getting \cdot in their comments and 6 uses of a notation using the raw `\cdot` without any subscript at `Mathlib\Topology\Homotopy\Product.lean`.
This PR replaces the dot product `⬝ᵥ` with its `\centerdot` counterpart `·ᵥ`. The related PR [here](https://github.com/leanprover/vscode-lean4/pull/639) can then overwrite the `\cdot` abbreviation, to produce the same symbol as the `centerdot` abbreviation does.
---
[](https://gitpod.io/from-referrer/)
|
merge-conflict
new-contributor
|
133/133 |
Mathlib/Analysis/CStarAlgebra/CStarMatrix.lean,Mathlib/Analysis/InnerProductSpace/PiL2.lean,Mathlib/Combinatorics/Configuration.lean,Mathlib/Combinatorics/SimpleGraph/AdjMatrix.lean,Mathlib/Combinatorics/SimpleGraph/LapMatrix.lean,Mathlib/Data/Matrix/Block.lean,Mathlib/Data/Matrix/ConjTranspose.lean,Mathlib/Data/Matrix/Hadamard.lean,Mathlib/Data/Matrix/Mul.lean,Mathlib/Data/Matrix/Notation.lean,Mathlib/Data/Matrix/Reflection.lean,Mathlib/Data/Matrix/RowCol.lean,Mathlib/Data/Matrix/Vec.lean,Mathlib/LinearAlgebra/CrossProduct.lean,Mathlib/LinearAlgebra/Matrix/BilinearForm.lean,Mathlib/LinearAlgebra/Matrix/DotProduct.lean,Mathlib/LinearAlgebra/Matrix/Nondegenerate.lean,Mathlib/LinearAlgebra/Matrix/Orthogonal.lean,Mathlib/LinearAlgebra/Matrix/PosDef.lean,Mathlib/LinearAlgebra/Matrix/SchurComplement.lean,Mathlib/LinearAlgebra/Matrix/SesquilinearForm.lean,Mathlib/LinearAlgebra/Matrix/Trace.lean,Mathlib/LinearAlgebra/PerfectPairing/Matrix.lean,Mathlib/LinearAlgebra/Projectivization/Constructions.lean,Mathlib/Topology/Instances/Matrix.lean |
25 |
6 |
['MoritzBeroRoos', 'eric-wieser', 'github-actions', 'leanprover-community-bot-assistant'] |
nobody |
298-67172 9 months ago |
321-81263 321 days ago |
7-62439 7 days |
| 27479 |
iu-isgood author:iu-isgood |
feat: Abel's Binomial Theorem |
We have formalized Abel's Binomial Theorem as part of an REU project. There are a few remaining sorrys, but we will finish them soon. I will edit this PR message later according to community rules.
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|
awaiting-author
t-data
new-contributor
|
326/0 |
Mathlib/Data/Nat/Choose/AbelBinomial.lean |
1 |
28 |
['ElifUskuplu', 'FrankieNC', 'github-actions', 'iu-isgood'] |
nobody |
298-66933 9 months ago |
327-64630 327 days ago |
0-237 3 minutes |
| 26462 |
PSchwahn author:PSchwahn |
feat(LinearAlgebra/Projection): add results about inverse of `Submodule.prodEquivOfIsCompl` |
Add two theorems `Submodule.prodEquivOfIsCompl_symm_apply` and `Submodule.prodEquivOfIsCompl_symm_add`, which are API for `Submodule.prodEquivOfIsCompl`.
We believe these theorems are useful; for example, we have used their statements in a [classification formalization project](https://github.com/LieLean/LowDimSolvClassification).
Co-authored by:
- [Viviana del Barco](https://github.com/vdelbarc)
- [Gustavo Infanti](https://github.com/GuQOliveira)
- [Exequiel Rivas](https://github.com/erivas)
---
I am not sure whether the `prodEquivOfIsCompl_symm_apply` theorem should be tagged with `@[simp]`; this might lead to confluence issues. Opinions are welcome!
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|
awaiting-author
t-algebra
new-contributor
label:t-algebra$ |
10/0 |
Mathlib/LinearAlgebra/Projection.lean |
1 |
7 |
['PSchwahn', 'github-actions', 'joelriou', 'kckennylau'] |
joelriou assignee:joelriou |
282-38301 9 months ago |
282-69404 282 days ago |
73-43082 73 days |
| 28623 |
gilesgshaw author:gilesgshaw |
feat(Logic/Basic): minor additions and simplification of proofs |
Add new theorems and simplify proofs.
Specifically, we add the family of related theorems `apply_dite_iff_exists`, `apply_dite_iff_forall`, `apply_ite_iff_and` and `apply_ite_iff_or`.
For each other 'family' of theorems in the file that is analogous to the above, we do the following
- Simplify proofs where possible, e.g. by appealing to the new theorems
- Complete the family, if any of the corresponding four are missing
- Rename to ensure consistency with the above pattern
---
|
merge-conflict
t-logic
new-contributor
|
83/55 |
Archive/Examples/IfNormalization/Result.lean,Archive/Examples/IfNormalization/WithoutAesop.lean,Mathlib/Algebra/ContinuedFractions/Computation/Translations.lean,Mathlib/Algebra/MvPolynomial/Variables.lean,Mathlib/Algebra/Notation/Indicator.lean,Mathlib/LinearAlgebra/Matrix/Rank.lean,Mathlib/Logic/Basic.lean,Mathlib/MeasureTheory/Measure/WithDensity.lean,Mathlib/SetTheory/Ordinal/Notation.lean |
9 |
12 |
['eric-wieser', 'gilesgshaw', 'github-actions', 'mathlib4-merge-conflict-bot', 'plp127'] |
awainverse assignee:awainverse |
281-73203 9 months ago |
281-73204 281 days ago |
10-61840 10 days |
| 29588 |
Periecle author:Periecle |
feat(Analysis/Complex/Residue): Implement residue theory for complex functions at isolated singularities |
# Add basic residue theory for complex functions
This PR introduces the residue theory implementation in mathlib.
## Main additions
- **`HasIsolatedSingularityAt f c`**: Predicate for functions with isolated singularities at point `c`
- **`residue f c hf`**: The residue of `f` at isolated singularity `c`, defined via circle integrals
- **Radius independence**: `residue_eq_two_pi_I_inv_smul_circleIntegral` - residue equals normalized circle integral for any valid radius
- **Holomorphic residues**: `residue_of_holomorphic` - functions holomorphic in a neighborhood have zero residue
- **Simple pole formula**: `residue_simple_pole` - for `f(z) = (z-c)⁻¹ * g(z)`, residue equals `g(c)`
## Implementation notes
- Builds on existing circle integral infrastructure in `CauchyIntegral.lean`
- Uses `Classical.choose` to extract witness radius from isolated singularity condition
- Comprehensive documentation with mathematical context and examples
- Establishes foundation for residue theorem, argument principle, and other applications
## Examples included
- `residue(1/z, 0) = 1` (canonical simple pole)
- Radius independence demonstration
- Zero residues for holomorphic functions
This provides the essential building blocks for complex analysis and first step to formalize residue theory. |
awaiting-author
t-analysis
new-contributor
|
383/0 |
Mathlib/Analysis/Complex/Residue/Basic.lean |
1 |
17 |
['Periecle', 'github-actions', 'hrmacbeth', 'llllvvuu', 'loefflerd'] |
nobody |
266-72403 8 months ago |
278-78785 278 days ago |
0-976 16 minutes |
| 26178 |
ppls-nd-prs author:ppls-nd-prs |
feat(CategoryTheory/Limits): Fubini for products |
We show that the product of products is a product indexed by the sigma type.
---
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|
merge-conflict
awaiting-author
t-category-theory
new-contributor
|
17/0 |
Mathlib/CategoryTheory/Limits/Shapes/Products.lean |
1 |
6 |
['chrisflav', 'github-actions', 'leanprover-community-bot-assistant', 'ppls-nd-prs', 'robin-carlier'] |
nobody |
262-1047 8 months ago |
363-10447 363 days ago |
0-47665 13 hours |
| 28630 |
Antidite author:Antidite |
feat(Archive/Imo): right isosceles configuration in the complex plane |
feat(Archive/Imo): right isosceles configuration in the complex plane
This adds `Archive/Imo/Imo1975Q3.lean`, formalizing a triangle configuration
with points A=0, B=1, C=z and auxiliary points R, P, Q built via complex
rotations and sine-based scale factors.
Main results:
* `angle_and_distance`: ∠QRP = π/2 and dist Q R = dist R P.
* Key identity `QRP_rot90`: (Q z).z − R.z = e^{iπ/2} · ((P z).z − R.z).
Design/Style:
* Minimal imports; module docstring; semantic lemma names; all definitions and
theorems live under the namespace `IMO.TriangleConfig`.
Moves:
- (none)
Deletions:
- (none)
---
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|
IMO
awaiting-author
new-contributor
|
196/0 |
Archive.lean,Archive/Imo/Imo1975Q3.lean |
2 |
36 |
['Antidite', 'LLaurance', 'github-actions', 'jsm28'] |
jsm28 assignee:jsm28 |
256-53193 8 months ago |
256-53193 256 days ago |
46-25852 46 days |
| 16773 |
arulandu author:arulandu |
feat(Probability/Distributions): formalize Beta distribution |
Formalize Beta distribution, using Gamma distribution as a reference. Added real-valued beta wrapper, in the manner of gamma. Thanks to @EtienneC30 for help with casting real <-> complex.
---
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|
merge-conflict
awaiting-author
new-contributor
t-measure-probability
|
286/1 |
Mathlib.lean,Mathlib/Analysis/SpecialFunctions/Gamma/Beta.lean,Mathlib/Probability/Distributions/Beta.lean |
3 |
50 |
['EtienneC30', 'arulandu', 'github-actions', 'mathlib4-merge-conflict-bot', 'vihdzp'] |
arulandu assignee:arulandu |
250-62498 8 months ago |
642-59406 642 days ago |
0-2240 37 minutes |
| 30460 |
janithamalith author:janithamalith |
feat(Nat): add lemma nat_card_orbit_mul_card_stabilizer_eq_card_group |
Added a lemma `nat_card_orbit_mul_card_stabilizer_eq_card_group` which is the Nat.card version of MulAction.card_orbit_mul_card_stabilizer_eq_card_group
---
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|
awaiting-author
t-group-theory
new-contributor
|
6/0 |
Mathlib/GroupTheory/GroupAction/CardCommute.lean |
1 |
17 |
['github-actions', 'kckennylau', 'plp127', 'tb65536'] |
tb65536 assignee:tb65536 |
240-72748 7 months ago |
240-72748 240 days ago |
8-8414 8 days |
| 25225 |
xcloudyunx author:xcloudyunx |
feat(Combinatorics/SimpleGraph): Eulerian walk in connected graph contains all vertices |
---
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awaiting-author
t-combinatorics
new-contributor
|
16/0 |
Mathlib/Combinatorics/SimpleGraph/Trails.lean |
1 |
6 |
['IvanRenison', 'github-actions', 'vlad902'] |
kmill assignee:kmill |
239-36280 7 months ago |
239-36280 239 days ago |
148-3286 148 days |
| 30828 |
DeVilhena-Paulo author:DeVilhena-Paulo |
feat: implementation of `Finmap.merge` |
The main contribution of this pull request is the implementation of a `merge` function for finite maps (`Finmap`). The construction relies on the definition of a `merge` function for association lists (`AList`).
There is also a side (unrelated) contribution on `Mathlib/Data/List/Permutation.lean`: the addition of a theorem about the permutation of a list with a head element (that is, a list of the form `a :: l`).
---
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[](https://gitpod.io/from-referrer/)
|
t-data
new-contributor
|
449/3 |
Mathlib/Data/Finmap.lean,Mathlib/Data/List/AList.lean,Mathlib/Data/List/Permutation.lean,Mathlib/Data/List/Sigma.lean |
4 |
1 |
['github-actions'] |
nobody |
237-59712 7 months ago |
237-59783 237 days ago |
0-80 1 minute |
| 28676 |
sun123zxy author:sun123zxy |
feat(NumberTheory/ArithmeticFunction): wrap `Nat.totient` as an `ArithmeticFunction` |
This wraps the Euler's totient function `Nat.totient` into a new `ArithmeticFunction` `ϕ`, with some basic identities such as `ϕ * ζ = id` and `μ * id = ϕ.`
---
We use the notation `ϕ` to distinguish from `Nat.totient`'s notation `φ`, however this might be controversial. Suggestions are welcome!
[](https://gitpod.io/from-referrer/)
|
t-number-theory
new-contributor
large-import
merge-conflict
awaiting-author
|
45/5 |
Mathlib/NumberTheory/ArithmeticFunction.lean |
1 |
19 |
['MichaelStollBayreuth', 'SnirBroshi', 'b-mehta', 'eric-wieser', 'github-actions', 'mathlib4-merge-conflict-bot', 'riccardobrasca', 'sun123zxy'] |
MichaelStollBayreuth assignee:MichaelStollBayreuth |
233-5751 7 months ago |
248-66827 248 days ago |
47-58311 47 days |
| 30299 |
franv314 author:franv314 |
feat(Topology/Instances): Cantor set |
Prove that the Cantor set has empty interior and the cardinality of the continuum as discussed on [Zulip](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/A.20few.20results.20about.20the.20Cantor.20set/with/543560670)
Moves:
- Mathlib.Topology.Instances.CantorSet -> Mathlib.Topology.Instances.CantorSet.Basic
---
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[](https://gitpod.io/from-referrer/)
|
new-contributor
merge-conflict
file-removed
awaiting-author
t-topology
|
355/2 |
Mathlib.lean,Mathlib/Topology/Instances/CantorSet/Basic.lean,Mathlib/Topology/Instances/CantorSet/Cardinality.lean,Mathlib/Topology/Instances/CantorSet/Lemmas.lean |
4 |
5 |
['github-actions', 'grunweg', 'kckennylau', 'mathlib4-merge-conflict-bot'] |
nobody |
232-83881 7 months ago |
253-66510 253 days ago |
0-2409 40 minutes |
| 30303 |
franv314 author:franv314 |
chore(Topology/Instances): add deprecated module |
Add deprecated module to moved Cantor set file.
---
- [ ] depends on: #30299
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
blocked-by-other-PR
new-contributor
|
486/124 |
Mathlib.lean,Mathlib/Topology/Instances/CantorSet.lean,Mathlib/Topology/Instances/CantorSet/Basic.lean,Mathlib/Topology/Instances/CantorSet/Cardinality.lean,Mathlib/Topology/Instances/CantorSet/Lemmas.lean |
5 |
3 |
['github-actions', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
nobody |
232-83879 7 months ago |
253-64379 253 days ago |
0-340 5 minutes |
| 29871 |
zach1502 author:zach1502 |
feat(Matrix/Transvection): Gauss pivot determinant identity and pivot preservation |
This PR adds two lemmas formalizing standard Gaussian pivot identities:
* `Matrix.Transvection.listTransvecCol_mul_mul_listTransvecRow_pivot`:
After applying the canonical left/right transvection products that clear the last column and row,
the pivot (bottom-right) entry of a matrix is unchanged.
Marked `@[simp]`.
* `Matrix.Transvection.det_eq_detTopLeft_mul_pivot`:
If the pivot entry is nonzero, then the determinant of the matrix factors as
the determinant of the top-left block times the pivot entry, after performing
the canonical transvections.
This is the usual Gauss–pivot determinant identity.
* Added simple usage tests in `MathlibTest/matrix.lean` to check that the new lemmas
are usable by `simp`/`simpa`.
---
---
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[](https://gitpod.io/from-referrer/)
|
awaiting-author
t-algebra
new-contributor
label:t-algebra$ |
94/0 |
Mathlib/LinearAlgebra/Matrix/Transvection.lean,MathlibTest/matrix.lean |
2 |
3 |
['github-actions', 'riccardobrasca', 'zach1502'] |
nobody |
226-83402 7 months ago |
226-83402 226 days ago |
41-53449 41 days |
| 30158 |
nicolaviolette author:nicolaviolette |
feat: combinatorics simplegraph basic |
---
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[](https://gitpod.io/from-referrer/)
|
awaiting-author
t-combinatorics
new-contributor
|
9/4 |
Mathlib/Combinatorics/SimpleGraph/Basic.lean |
1 |
3 |
['b-mehta', 'github-actions'] |
b-mehta assignee:b-mehta |
226-16532 7 months ago |
226-16532 226 days ago |
31-69826 31 days |
| 26901 |
5hv5hvnk author:5hv5hvnk |
feat: a simproc version of `compute_degree` |
Wrap `compute_degree` in a simproc for use by simp.
Closes #22219.
--- |
awaiting-CI
new-contributor
merge-conflict
awaiting-author
t-meta
|
198/0 |
Mathlib.lean,Mathlib/Tactic/Simproc/PolynomialDegree.lean,MathlibTest/polynomial_degree_simproc.lean |
3 |
19 |
['5hv5hvnk', 'YaelDillies', 'adomani', 'github-actions', 'mathlib4-merge-conflict-bot'] |
nobody |
223-63200 7 months ago |
341-80194 341 days ago |
2-71043 2 days |
| 30150 |
imbrem author:imbrem |
feat(CategoryTheory/Monoidal): to_additive for MonoidalCategory |
Add `AddMonoidalCategory`, the additive version of `MonoidalCategory`.
To get this to work, I needed to _remove_ the `to_additive` attributes in `Discrete.lean`, since existing code relies on the `AddMonoid M → MonoidalCategory M` instance. For now, we simply implement the additive variants by hand instead.
---
As discussed in #28718; I added an `AddMonoidalCategory` struct and tagged `MonoidalCategory` with `to_additive`, along with the lemmas in `Category.lean`.
I think this is the right approach, since under this framework the "correct" additive version of `Discrete.lean` would be mapping an `AddMonoid` to an `AddMonoidalCategory`.
Next steps would be to:
- Make `monoidal_coherence` and `coherence` support `AddMonoidalCategory`
- Add `CocartesianMonoidalCategory` extending `AddMonoidalCategory`
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[](https://gitpod.io/from-referrer/)
|
t-category-theory
large-import
new-contributor
merge-conflict
awaiting-zulip
t-meta
|
444/125 |
Mathlib/CategoryTheory/Monoidal/Category.lean,Mathlib/CategoryTheory/Monoidal/Discrete.lean,Mathlib/Tactic/ToAdditive/GuessName.lean |
3 |
22 |
['JovanGerb', 'YaelDillies', 'github-actions', 'imbrem', 'mathlib4-merge-conflict-bot'] |
nobody |
217-26191 7 months ago |
257-4857 257 days ago |
1-160 1 day |
| 15651 |
TpmKranz author:TpmKranz |
feat(Computability/NFA): operations for Thompson's construction |
Lays the groundwork for a proof of equivalence of RE and NFA, w.r.t. described language. Actual connection to REs comes later, after the groundwork for the opposite direction has been laid.
Third chunk of #12648
---
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[](https://gitpod.io/from-referrer/)
|
new-contributor
t-computability
merge-conflict
awaiting-author
awaiting-zulip
|
307/5 |
Mathlib/Computability/NFA.lean |
1 |
27 |
['TpmKranz', 'YaelDillies', 'dupuisf', 'github-actions', 'leanprover-community-bot-assistant', 'meithecatte', 'rudynicolop'] |
nobody |
212-43323 7 months ago |
631-70711 631 days ago |
45-84611 45 days |
| 15649 |
TpmKranz author:TpmKranz |
feat(Computability): introduce Generalised NFA as bridge to Regular Expression |
Lays the groundwork for a proof of equivalence of NFA and RE, w.r.t. described language. Actual connection to NFA comes later, after the groundwork for the opposite direction has been laid.
Second chunk of #12648
---
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- [x] depends on: #15647 [Data.FinEnum.Option unchanged since then]
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-computability
merge-conflict
awaiting-author
awaiting-zulip
|
298/0 |
Mathlib.lean,Mathlib/Computability/GNFA.lean,Mathlib/Computability/Language.lean,Mathlib/Computability/RegularExpressions.lean,docs/references.bib |
5 |
7 |
['github-actions', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot', 'meithecatte', 'trivial1711'] |
nobody |
211-59564 6 months ago |
557-23094 557 days ago |
23-54870 23 days |
| 5919 |
MithicSpirit author:MithicSpirit |
feat: implement orthogonality for AffineSubspace |
Define `AffineSubspace.orthogonal` and `AffineSubspace.IsOrtho`, as well as develop an API emulating that of `Submodule.orthogonal` and `Submodule.IsOrtho`, respectively. Additionally, provide some relevant lemmas exclusive to affine subspaces, which are mostly to do with the relationship between orthogonality and `AffineSubspace.Parallel`.
Closes #5539
---
Still WIP as I need to add more docstrings as well as notations for the new definitions.
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[](https://gitpod.io/from-referrer/)
|
WIP
new-contributor
merge-conflict
help-wanted
t-analysis
|
287/0 |
Mathlib.lean,Mathlib/Analysis/InnerProductSpace/AffineSubspace.lean |
2 |
7 |
['MithicSpirit', 'eric-wieser', 'github-actions', 'leanprover-community-bot-assistant', 'mathlib4-merge-conflict-bot'] |
MithicSpirit assignee:MithicSpirit |
211-11021 6 months ago |
894-35916 894 days ago |
0-433 7 minutes |
| 13442 |
dignissimus author:dignissimus |
feat: mabel tactic for multiplicative abelian groups |
Mabel tactic for multiplicative abelian groups (#10361)
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
merge-conflict
modifies-tactic-syntax
awaiting-author
help-wanted
t-meta
|
439/0 |
Mathlib.lean,Mathlib/Tactic.lean,Mathlib/Tactic/MAbel.lean,MathlibTest/mabel.lean |
4 |
11 |
['BoltonBailey', 'dignissimus', 'github-actions', 'joneugster', 'kbuzzard', 'mathlib4-merge-conflict-bot'] |
joneugster assignee:joneugster |
211-10757 6 months ago |
661-2843 661 days ago |
0-16 16 seconds |
| 14237 |
js2357 author:js2357 |
feat: Define the localization of a fractional ideal at a prime ideal |
Define the localization of a fractional ideal at a prime ideal, and prove some basic properties.
---
<!-- The text above the `---` will become the commit message when your
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This PR is part 3 out of 4 of a proof of `isDedekindDomain_iff_isDedekindDomainDvr`.
Part 4 is available here: #14242
- [x] depends on: #14099 Part 1
- [x] depends on: #14216 Part 2
[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-algebra
new-contributor
label:t-algebra$ |
230/0 |
Mathlib.lean,Mathlib/RingTheory/FractionalIdeal/LocalizedAtPrime.lean,Mathlib/RingTheory/Localization/Basic.lean |
3 |
22 |
['Vierkantor', 'YaelDillies', 'github-actions', 'js2357', 'kbuzzard', 'leanprover-community-bot-assistant', 'leanprover-community-mathlib4-bot', 'mathlib4-merge-conflict-bot'] |
Vierkantor assignee:Vierkantor |
211-10755 6 months ago |
659-70978 659 days ago |
6-3525 6 days |
| 15224 |
AnthonyBordg author:AnthonyBordg |
feat(CategoryTheory/Sites): covering families and their associated Grothendieck topology |
Define covering families on a category and their associated Grothendieck topology by using the API for `Coverage`.
Give an explicit characterization of the covering sieves of the said topology.
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-category-theory
new-contributor
|
112/0 |
Mathlib.lean,Mathlib/CategoryTheory/Sites/CoveringFamilies.lean |
2 |
21 |
['AnthonyBordg', 'adamtopaz', 'dagurtomas', 'github-actions', 'joelriou', 'mathlib4-merge-conflict-bot'] |
nobody |
211-10626 6 months ago |
686-63257 686 days ago |
1-48443 1 day |
| 17587 |
kmill author:kmill |
feat: Sym2-as-Finset theory |
---
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merge-conflict
t-data
new-contributor
|
105/3 |
Mathlib/Combinatorics/SimpleGraph/Basic.lean,Mathlib/Combinatorics/SimpleGraph/Finite.lean,Mathlib/Data/Sym/Sym2.lean,Mathlib/RingTheory/Polynomial/Vieta.lean |
4 |
11 |
['FordUniver', 'YaelDillies', 'github-actions', 'kmill', 'mathlib4-merge-conflict-bot'] |
nobody |
211-10472 6 months ago |
unknown |
0-0 0 seconds |
| 18630 |
tomaz1502 author:tomaz1502 |
feat(Computability.Timed): Formalization of runtime complexity of List.mergeSort |
This PR adds the formalization of the runtime complexity of the merge sort algorithm, defined in `Data/List/Sort`.
Requires: https://github.com/leanprover-community/mathlib4/pull/15451
References:
- Previous PR on mathlib3: https://github.com/leanprover-community/mathlib3/pull/14494/
- First discussion on Zulip: https://leanprover.zulipchat.com/#narrow/stream/113488-general/topic/BSc.20Final.20Project/near/220647062
- Second disussion on Zulip: https://leanprover.zulipchat.com/#narrow/stream/113488-general/topic/Formalization.20of.20Runtime.20Complexity.20of.20Sorting.20Algorithms/near/284184450
---
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|
merge-conflict
t-computability
new-contributor
|
526/0 |
Mathlib.lean,Mathlib/Computability/Timed/InsertionSort.lean,Mathlib/Computability/Timed/Merge.lean,Mathlib/Computability/Timed/MergeSort.lean,Mathlib/Computability/Timed/Split.lean |
5 |
9 |
['github-actions', 'mathlib4-merge-conflict-bot'] |
nobody |
211-10470 6 months ago |
589-62273 589 days ago |
0-77273 21 hours |
| 20648 |
anthonyde author:anthonyde |
feat: formalize regular expression -> εNFA |
The file `Computability/RegularExpressionsToEpsilonNFA.lean` contains a formal definition of Thompson's method for constructing an `εNFA` from a `RegularExpression` and a proof of its correctness.
---
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- [x] depends on: #20644
- [x] depends on: #20645
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-computability
awaiting-zulip
new-contributor
|
490/0 |
Mathlib.lean,Mathlib/Computability/RegularExpressionsToEpsilonNFA.lean,docs/references.bib |
3 |
7 |
['anthonyde', 'github-actions', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot', 'meithecatte', 'qawbecrdtey'] |
nobody |
211-10332 6 months ago |
408-43261 408 days ago |
75-77754 75 days |
| 21903 |
yhtq author:yhtq |
feat: add from/toList between `FreeSemigroup` and `List` with relative theorems |
Add from/toList between `FreeSemigroup` and `List` with relative theorems, as well as an incidental definition of lexicographic order on `FreeSemigroup`.
---
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[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
awaiting-CI
large-import
merge-conflict
label:t-algebra$ |
169/0 |
Mathlib/Algebra/Free.lean |
1 |
12 |
['YaelDillies', 'github-actions', 'mathlib4-merge-conflict-bot'] |
nobody |
211-10192 6 months ago |
437-80547 437 days ago |
50-9294 50 days |
| 22159 |
shetzl author:shetzl |
feat: add definition of pushdown automata |
Add the definition of pushdown automata and their two acceptance conditions: acceptance based on empty stack and acceptance based on final state.
Co-authored-by: Tobias Leichtfried <tobias.leichtfried@tuwien.ac.at>
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-computability
awaiting-author
new-contributor
|
70/0 |
Mathlib.lean,Mathlib/Computability/PDA.lean |
2 |
35 |
['YaelDillies', 'github-actions', 'madvorak', 'mathlib4-merge-conflict-bot', 'shetzl'] |
nobody |
211-10186 6 months ago |
458-4199 458 days ago |
20-81245 20 days |
| 22302 |
658060 author:658060 |
feat: add `CategoryTheory.Topos.Power` |
This is a continuation of #21281 with the end goal of defining topoi in Mathlib. It introduces the notion of a power object in a category with a subobject classifier, which is a special case of an internal hom.
The definition `HasPowerObjects C` contained in this PR is all that remains before `IsTopos C` can be defined.
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-category-theory
new-contributor
|
312/0 |
Mathlib.lean,Mathlib/CategoryTheory/Topos/Power.lean |
2 |
3 |
['github-actions', 'joelriou', 'mathlib4-merge-conflict-bot'] |
b-mehta assignee:b-mehta |
211-10177 6 months ago |
477-44179 477 days ago |
0-1528 25 minutes |
| 22790 |
mhk119 author:mhk119 |
feat: Extend `taylor_mean_remainder_lagrange` to `x < x_0` |
The `taylor_mean_remainder_lagrange` theorem has the assumption that $x_0 < x$. In many applications, we need $x < x_0$ and one cannot use the current version to obtain this (see [zulip](https://leanprover.zulipchat.com/#narrow/channel/116395-maths/topic/Taylor's.20theorem)). This PR introduces a set of theorems that push negations through Taylor expansions so that one can extend `taylor_mean_remainder_lagrange` to the case when $x < x_0$. These theorems should also be useful elsewhere since they are quite general. |
merge-conflict
awaiting-author
t-analysis
new-contributor
|
111/1 |
Mathlib/Analysis/Calculus/Deriv/Basic.lean,Mathlib/Analysis/Calculus/IteratedDeriv/Lemmas.lean,Mathlib/Analysis/Calculus/Taylor.lean |
3 |
13 |
['Paul-Lez', 'github-actions', 'grunweg', 'mathlib4-merge-conflict-bot', 'mhk119'] |
nobody |
211-10164 6 months ago |
439-25281 439 days ago |
23-16830 23 days |
| 24333 |
xcloudyunx author:xcloudyunx |
feat(Combinatorics/SimpleGraph): cycle graph implementation for generic vertex types |
The existing `cycleGraph` implementation under Combinatorics/SimpleGraph/Circulant.lean only operates over `Fin n`. This PR implements a cycle graph implementation over any generic vertex type.
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-combinatorics
new-contributor
|
187/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Cycle.lean |
2 |
42 |
['IvanRenison', 'github-actions', 'mathlib4-merge-conflict-bot', 'vlad902'] |
kmill assignee:kmill |
211-10011 6 months ago |
297-8592 297 days ago |
123-18878 123 days |
| 25739 |
literandltx author:literandltx |
feat(NumberTheory/LegendreSymbol): Add sqrt‐of‐residue theorems for p=4k+3 and p=8k+5 |
Add a new file `QuadraticResidueRoots.lean` under `Mathlib/NumberTheory/LegendreSymbol/` that proves two explicit “square-root of quadratic residue” theorems for primes of the specific form.
- **`exists_sqrt_of_residue_mod4_eq3`** for primes `p = 4*k + 3`
- **`exists_sqrt_of_residue_mod8_eq5`** for primes `p = 8*k + 5`
It also introduces the helper lemmas `euler_criterion_traditional` and `legendreSym.at_two_mod8_eq_5`. Import lines in `Mathlib.lean` and `Mathlib/NumberTheory/LegendreSymbol/Basic.lean` have been updated accordingly.
|
merge-conflict
awaiting-author
t-number-theory
new-contributor
|
217/0 |
Mathlib.lean,Mathlib/NumberTheory/LegendreSymbol/Basic.lean,Mathlib/NumberTheory/LegendreSymbol/QuadraticReciprocity.lean,Mathlib/NumberTheory/LegendreSymbol/QuadraticResidueRoots.lean |
4 |
3 |
['github-actions', 'kckennylau', 'mathlib4-merge-conflict-bot'] |
literandltx assignee:literandltx |
211-9862 6 months ago |
353-33425 353 days ago |
17-63153 17 days |
| 26300 |
igorkhavkine author:igorkhavkine |
feat(Analysis/Calculus/FDeriv): continuous differentiability from continuous partial derivatives on an open domain in a product space |
If a function `f : E × F → G` is continuously differentiable, then its partial derivatives along `E` and `F` are also continuous. The non-trivial converse implication holds when the partial derivatives are continuous on an open domain, and they can be added together to give the total derivative of `f`. See this [#mathlib4 > Partial derivatives @ 💬](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Partial.20derivatives/near/520995477) and the containing thread for some discussion. The PR creates a new import (`Mathlib.Analysis.Calculus.FDeriv.Partial`), where other results about partial derivatives could go in the future.
---
*this is the migration of #25304 to the PR-from-fork workflow*
- [x] depends on: #25564
- [x] depends on: #26273
[](https://gitpod.io/from-referrer/)
|
WIP
new-contributor
awaiting-author
t-analysis
merge-conflict
|
468/0 |
Mathlib/Analysis/Calculus/FDeriv/Partial.lean |
3 |
23 |
['YaelDillies', 'agjftucker', 'github-actions', 'igorkhavkine', 'mathlib-merge-conflicts', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot', 'sgouezel'] |
sgouezel assignee:sgouezel |
211-9650 6 months ago |
307-58040 307 days ago |
44-77029 44 days |
| 26594 |
metakunt author:metakunt |
feat(Algebra/Polynomial/ZMod): Add Polynomial.equiv_of_nat_of_polynomial_zmod |
This adds an explicit bijection between the naturals and $$\mathbb{Z}/n\mathbb{Z}[X]$$ in a canonical way.
---
I feel that some API is missing to make the theorem shorter, I have no idea what lemmas to extract though.
Also I don't know when to use spaces and when not, so I did it best effort.
|
merge-conflict
awaiting-author
t-algebra
new-contributor
label:t-algebra$ |
465/0 |
Mathlib.lean,Mathlib/Algebra/Polynomial/ZMod.lean |
2 |
3 |
['Ruben-VandeVelde', 'github-actions', 'mathlib4-merge-conflict-bot'] |
nobody |
211-9502 6 months ago |
326-53260 326 days ago |
25-5233 25 days |
| 26757 |
fweth author:fweth |
feat(CategoryTheory/Topos): define elementary topos |
This commit begins the formalization of the notion of an *elementary topos*, following the definition in \[Mac Lane & Moerdijk, *Sheaves in Geometry and Logic* (1992), Ch. IV, Section 1]. It introduces the file `Mathlib/CategoryTheory/Topos/Basic.lean`, which currently includes:
* The definition of an elementary topos.
* Proof that the power object map is a functor
* Theorem about pullbacks of characterstic maps
Subobject classifiers, which are used in the definition, have already been defined in `CategoryTheory/Topos/Classifier.lean`
Work in progress: further formalization of the section is planned.
Questions:
* Should the definition of power objects be separated into its own file/module, perhaps under `CategoryTheory/Topos/PowerObject.lean`?
* Is the notation `P` / `P_morph` / `P_functor` for the power object functor on objects / morphisms / total acceptable?
* Should the comments and docstrings rather use the notation from the book, where `g ∘ f` denotes arrow composition from righ to left, or the Lean variant `f ≫ g`?
Klaus Gy klausgy@gmail.com
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-category-theory
new-contributor
|
401/66 |
Mathlib.lean,Mathlib/CategoryTheory/Closed/PowerObjects.lean,Mathlib/CategoryTheory/Limits/Shapes/BinaryProducts.lean,Mathlib/CategoryTheory/Limits/Shapes/Equalizers.lean,Mathlib/CategoryTheory/Limits/Shapes/Pullback/CommSq.lean,Mathlib/CategoryTheory/Limits/Shapes/Pullback/Equalizer.lean,Mathlib/CategoryTheory/Monoidal/Cartesian/Basic.lean,Mathlib/CategoryTheory/Subobject/Basic.lean,Mathlib/CategoryTheory/Topos/Classifier.lean |
9 |
17 |
['fweth', 'github-actions', 'joelriou', 'leanprover-community-bot-assistant', 'mathlib4-merge-conflict-bot'] |
joelriou assignee:joelriou |
211-9497 6 months ago |
240-62516 240 days ago |
62-6838 62 days |
| 27155 |
Pjotr5 author:Pjotr5 |
feat: Shearer's bound on the independence number of triangle free graphs |
I added the file IndependenceNumber.lean to the Mathlib.Combinatorics.SimpleGraph.Triangle folder. It contains a proof of a theorem by Shearer on the independence number of triangle-free graphs . I was told this might be useful to add to Mathlib a Zullip thread linked [here](https://leanprover.zulipchat.com/#narrow/channel/217875-Is-there-code-for-X.3F/topic/Convexity.20of.20a.20specific.20function/with/510469526).
I tried to comply as much as I could with the Mathlib style guide, but I realise that there is probably still a significant amount of editing to be done. For one thing: there are probably some lemmas and theorems in there that might be better suited in other files, but since this is my first PR I though I would all put it in one file before starting to edit a bunch of files.
I was also advised to split up the file into multiple smaller PRs, but since everything is basically serving this one proof I could not really find a natural way to do that.
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-combinatorics
new-contributor
|
1266/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Triangle/IndependenceNumber.lean |
2 |
10 |
['Pjotr5', 'github-actions', 'grunweg', 'mathlib4-merge-conflict-bot'] |
nobody |
211-9460 6 months ago |
298-66169 298 days ago |
39-17587 39 days |
| 27753 |
YunkaiZhang233 author:YunkaiZhang233 |
feat(CategoryTheory): implemented proofs for factorisation categories being equivalent to iterated comma categories in two ways |
---
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Completed one of the tasks in TODOs, shown and implemented the details for (X/C)/f ≌ Factorisation f ≌ f/(C/Y).
This is migrated from my previous PR #22390
[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-category-theory
new-contributor
|
70/1 |
Mathlib/CategoryTheory/Category/Factorisation.lean |
1 |
13 |
['YunkaiZhang233', 'b-mehta', 'github-actions', 'mathlib4-merge-conflict-bot', 'robin-carlier'] |
nobody |
211-9305 6 months ago |
321-66868 321 days ago |
0-3448 57 minutes |
| 27850 |
fyqing author:fyqing |
feat: 0-dimensional manifolds are discrete and countable |
This is the converse direction of the classification of 0-dimensional manifolds. The other direction was shown in #22105.
---
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|
merge-conflict
awaiting-author
t-differential-geometry
new-contributor
|
80/0 |
Mathlib.lean,Mathlib/Geometry/Manifold/ZeroDim.lean |
2 |
14 |
['fyqing', 'github-actions', 'grunweg', 'mathlib4-merge-conflict-bot', 'tb65536'] |
grunweg assignee:grunweg |
211-9303 6 months ago |
320-41530 320 days ago |
0-5718 1 hour |
| 28125 |
nonisomorphiclinearmap author:nonisomorphiclinearmap |
feat(Combinatorics): basic definition of simplicial complexes |
This PR introduces the basic definition of a finite (abstract) simplicial complex, located in Mathlib/Combinatorics/SimplicialComplex/Basic.lean.
---
This is our first contribution to mathlib. This work was done as part of the Fields Institute Summer Undergraduate Program on formalization in topological combinatorics. Eventually, we aim to formalize Lovasz's proof of the Kneser Conjecture and this is a small stepping stone in that direction. Some other commits will shortly depend on this one.
We would like to acknowledge the Fields Institute for Research in Mathematical Sciences for their sponsorship. We would also like to thank our supervisors, Professor Chris Kapulkin and Mr. Daniel Carranza, for their guidance and support throughout this project. We would also like to thank our group members Tom Lindquist and Quang Minh Nguyen for our fruitful discussions. |
merge-conflict
t-combinatorics
new-contributor
|
374/0 |
Mathlib.lean,Mathlib/Combinatorics/SimplicialComplex/Basic.lean,Mathlib/Combinatorics/SimplicialComplex/Category.lean,Mathlib/Combinatorics/SimplicialComplex/FacePoset.lean,Mathlib/Combinatorics/SimplicialComplex/Hom.lean |
5 |
2 |
['github-actions', 'mathlib4-merge-conflict-bot'] |
awainverse assignee:awainverse |
211-9171 6 months ago |
211-9172 211 days ago |
99-64548 99 days |
| 28530 |
nonisomorphiclinearmap author:nonisomorphiclinearmap |
feat(Combinatorics/SimplicialComplex/Topology): add standard simplices and geometric realisation (colimit + functoriality) |
Introduce the standard simplex on a finite vertex set and build the geometric realisation |X| of a simplicial complex. Prove that |X| is the colimit of the face diagram δ_X : X.faces ⥤ TopCat, and define the induced map on realisations |φ| : |X| ⟶ |Y| for a simplicial map φ. Show that the abstract map from colimit functoriality agrees with the concrete push-forward of barycentric coordinates. Package these into a functor SimplicialComplexCat ⥤ TopCat.
---
This is our first contribution to mathlib. This work was done as part of the Fields Institute Summer Undergraduate Program on formalization in topological combinatorics. Eventually, we aim to formalize Lovasz's proof of the Kneser Conjecture and this lays the groundwork to do this.
We would like to acknowledge the Fields Institute for Research in Mathematical Sciences for their sponsorship. We would also like to thank our supervisors, Professor Chris Kapulkin and Mr. Daniel Carranza, for their guidance and support throughout this project. I would also like to thank our group members Sebastian Kumar, Tom Lindquist and Quang Minh Nguyen for our fruitful discussions.
- [ ] depends on: #28125 |
merge-conflict
blocked-by-other-PR
t-combinatorics
new-contributor
|
1826/0 |
Mathlib.lean,Mathlib/Combinatorics/SimplicialComplex/Basic.lean,Mathlib/Combinatorics/SimplicialComplex/Category.lean,Mathlib/Combinatorics/SimplicialComplex/FacePoset.lean,Mathlib/Combinatorics/SimplicialComplex/Hom.lean,Mathlib/Combinatorics/SimplicialComplex/Topology/GeomReal/Basic.lean,Mathlib/Combinatorics/SimplicialComplex/Topology/GeomReal/Colimit.lean,Mathlib/Combinatorics/SimplicialComplex/Topology/GeomReal/Diagram.lean,Mathlib/Combinatorics/SimplicialComplex/Topology/GeomReal/Functor.lean,Mathlib/Combinatorics/SimplicialComplex/Topology/GeomReal/Map.lean,Mathlib/Combinatorics/SimplicialComplex/Topology/Simplex.lean,Mathlib/Combinatorics/SimplicialComplex/Topology/SimplexMap.lean |
12 |
3 |
['github-actions', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
nobody |
211-9157 6 months ago |
305-49385 305 days ago |
0-591 9 minutes |
| 28871 |
JaafarTanoukhi author:JaafarTanoukhi |
feat(Combinatorics/Digraph): Tournaments |
Define orientations and tournaments. Related to #26771.
Co-authored-by: Rida Hamadani <mridahamadani@gmail.com>
---
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|
merge-conflict
t-combinatorics
new-contributor
|
62/0 |
Mathlib.lean,Mathlib/Combinatorics/Digraph/Orientation.lean,Mathlib/Combinatorics/Digraph/Tournament.lean |
3 |
6 |
['JaafarTanoukhi', 'Rida-Hamadani', 'SnirBroshi', 'github-actions', 'mathlib4-merge-conflict-bot'] |
kmill assignee:kmill |
211-9018 6 months ago |
211-9019 211 days ago |
86-44787 86 days |
| 29947 |
JaafarTanoukhi author:JaafarTanoukhi |
feat(Combinatorics/Digraph): Maps |
Ported `SimpleGraph/Maps.lean` to `Digraph/Maps.lean` for future PRs related to issue #[26771](https://github.com/leanprover-community/mathlib4/issues/26771)
---
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|
merge-conflict
t-combinatorics
new-contributor
|
476/0 |
Mathlib.lean,Mathlib/Combinatorics/Digraph/Maps.lean |
2 |
2 |
['github-actions', 'mathlib4-merge-conflict-bot'] |
awainverse assignee:awainverse |
211-8384 6 months ago |
211-8385 211 days ago |
54-82760 54 days |
| 14704 |
Command-Master author:Command-Master |
feat(FieldTheory): define typeclass for simple extensions, and prove some properties |
Define `SimpleExtension F K`, which says that `K` is a simple field extension of `F`, and show that together with transcendentality it implies `IsFractionRing F[X] K`.
---
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- [x] depends on: #14710
[](https://gitpod.io/from-referrer/)
|
WIP
t-algebra
new-contributor
merge-conflict
awaiting-author
label:t-algebra$ |
120/0 |
Mathlib.lean,Mathlib/FieldTheory/SimpleExtension.lean |
2 |
19 |
['Command-Master', 'acmepjz', 'github-actions', 'leanprover-community-mathlib4-bot', 'mathlib4-merge-conflict-bot', 'tb65536'] |
nobody |
211-5216 6 months ago |
654-84730 654 days ago |
48-65595 48 days |
| 31590 |
SuccessMoses author:SuccessMoses |
chore: tag `commutatorElement_def` with `simp` |
---
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|
awaiting-author
t-algebra
new-contributor
merge-conflict
label:t-algebra$ |
1/0 |
Mathlib/Algebra/Group/Commutator.lean |
1 |
3 |
['github-actions', 'grunweg', 'mathlib-merge-conflicts'] |
nobody |
210-69491 6 months ago |
210-69491 210 days ago |
6-8213 6 days |
| 11021 |
jstoobysmith author:jstoobysmith |
feat(AlgebraicTopology): add join of augmented SSets |
This pull-request adds the definition of the join of augmented SSets defined as contravariant functors from `WithInitial SimplexCategory` to `Type u`. In addition it shows that the join of two standard augmented SSets is again an augmented SSets.
From this the definition of the join of simplicial sets should follow easily.
To aid the above theory, an api for `WithInitial SimplexCategory` has been created, with the notion of the `join` and `split` (forming a sort of inverse to join) of objects in this category are defined.
---
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|
merge-conflict
WIP
t-algebraic-topology
new-contributor
|
2137/1 |
.gitignore,Mathlib.lean,Mathlib/AlgebraicTopology/Join.lean,Mathlib/AlgebraicTopology/SimplexCategory.lean,Mathlib/AlgebraicTopology/SimplexCategoryWithInitial.lean,Mathlib/AlgebraicTopology/SimplicialSet.lean |
6 |
47 |
['github-actions', 'jcommelin'] |
nobody |
210-68632 6 months ago |
840-36077 840 days ago |
1-20227 1 day |
| 18626 |
hannahfechtner author:hannahfechtner |
feat: define Artin braid groups |
Define the Artin braid group on infinitely many strands. Includes a toGroup function which defines a function out of the braid group to any other group (given a function which satisfies the braid relations)
(more to come in this file; next up: Artin braid groups on finitely many strands)
---
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|
merge-conflict
awaiting-author
t-algebra
new-contributor
label:t-algebra$ |
91/0 |
Mathlib.lean,Mathlib/GroupTheory/SpecificGroups/BraidGroup/Basic.lean |
2 |
22 |
['github-actions', 'hannahfechtner', 'jcommelin', 'joelriou'] |
nobody |
210-68479 6 months ago |
573-75358 573 days ago |
15-38362 15 days |
| 20029 |
FrederickPu author:FrederickPu |
feat(Tactic/simps): allow for Config attributes to be set directly |
Allow for Config attributes to be set directly when using initialize_simp_projection as per issue #19895
Basically modified initialize_simp_projection so that the user has the option of specifying a tuple of config option values.
Ex:
```
initialize_simp_projection MulEquiv (toFun → apply, invFun → symm_apply) (fullyApplied := false)
```
These config options are then converted into projections.
---
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|
merge-conflict
WIP
new-contributor
t-meta
|
34/4 |
Mathlib/Tactic/Simps/Basic.lean |
1 |
11 |
['FrederickPu', 'YaelDillies', 'fpvandoorn', 'github-actions', 'leanprover-community-bot-assistant'] |
nobody |
210-68416 6 months ago |
546-85665 546 days ago |
0-34081 9 hours |
| 21269 |
658060 author:658060 |
feat(CategoryTheory/Topos): basic definitions and results in topos theory |
This code contains basic definitions and results in topos theory, including the definition of a subobject classifier, power objects, and topoi. It is proved that every topos has exponential objects, i.e. "internal homs". The mathematical content follows chapter IV sections 1-2 of Mac Lane and Moerdijk's text "Sheaves in Geometry and Logic".
---
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|
WIP
t-category-theory
new-contributor
merge-conflict
awaiting-author
|
1269/0 |
Mathlib.lean,Mathlib/CategoryTheory/Topos/Basic.lean,Mathlib/CategoryTheory/Topos/Classifier.lean,Mathlib/CategoryTheory/Topos/Exponentials.lean,Mathlib/CategoryTheory/Topos/Power.lean |
5 |
10 |
['658060', 'gio256', 'github-actions', 'joelriou', 'mathlib4-dependent-issues-bot'] |
nobody |
210-68389 6 months ago |
503-47203 503 days ago |
0-13879 3 hours |
| 23990 |
robertmaxton42 author:robertmaxton42 |
feat(Types.Colimits): Quot is functorial and colimitEquivQuot is natural |
Add `Functor.quotFunctor` to parallel `Functor.sectionsFunctor`, witnessing that `Quot` is functorial; add `colimNatIsoQuotFunctor` to parallel `limNatIsoSectionsFunctor`, witnessing that `colimitEquivQuot` is natural in the diagram $F$.
---
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|
merge-conflict
awaiting-author
t-category-theory
new-contributor
|
33/0 |
Mathlib/CategoryTheory/Limits/Types/Colimits.lean |
1 |
5 |
['github-actions', 'joelriou', 'leanprover-community-bot-assistant', 'robertmaxton42'] |
nobody |
210-68272 6 months ago |
422-67207 422 days ago |
8-27136 8 days |
| 27991 |
sinianluoye author:sinianluoye |
feat(Rat): add Rat.den_eq_of_add_den_eq_one and its dependent lemmas |
```lean4
example {q r : ℚ} (h : (q + r).den = 1) : q.den = r.den := by
```
It is so simple, but I couldn't find it in current mathlib repo.
---
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[](https://gitpod.io/from-referrer/)
|
awaiting-author
t-data
new-contributor
|
22/0 |
Mathlib/Data/Rat/Lemmas.lean |
1 |
33 |
['github-actions', 'kim-em', 'mathlib-bors', 'pechersky', 'sinianluoye', 'themathqueen'] |
pechersky assignee:pechersky |
210-67955 6 months ago |
242-5149 242 days ago |
74-56654 74 days |
| 28215 |
5hv5hvnk author:5hv5hvnk |
feat: strong and Weak connectivity for Digraphs |
strong and weak connectivity in Digraphs
---
Should resolve a part of issue #26771
Main additions in the PR:
1. Walks in Digraphs (Walk.lean)
- Basic walk structure with start and end vertices
- Support for walk operations: append, reverse, length
- Support functions: getVert, copy, support
2. Walk Decompositions (WalkDecomp.lean)
- takeUntil and dropUntil functions to split walks
- rotate operation for loop walks
- Theorems relating to walk decomposition properties
3. Subgraphs (subgraph.lean)
- Subgraph structure for digraphs
- Induced and spanning subgraph predicates
- Lattice structure (sup, inf, top, bot)
- Coercion to standalone digraphs
4. Paths (Paths.lean)
- Trail, Path, Circuit, Cycle definitions
- Path structure with no repeating vertices
- Theorems relating different path types
- Basic connectivity definitions (reachable, weakly/strongly connected)
5. Connectivity (Connected.lean)
- Reachability relations and properties
- Strong and weak connectivity definitions
- Connected component types:
- StronglyConnectedComponent
- WeaklyConnectedComponent
- ConnectedComponent
- Component properties and equivalence relations
-->
[](https://gitpod.io/from-referrer/)
|
WIP
new-contributor
merge-conflict
awaiting-author
t-combinatorics
|
1266/0 |
Mathlib.lean,Mathlib/Combinatorics/Digraph/Connected.lean,Mathlib/Combinatorics/Digraph/Paths.lean,Mathlib/Combinatorics/Digraph/Subgraph.lean,Mathlib/Combinatorics/Digraph/Walk.lean,Mathlib/Combinatorics/Digraph/WalkDecomp.lean |
6 |
4 |
['github-actions', 'grunweg', 'mathlib4-merge-conflict-bot'] |
nobody |
210-67934 6 months ago |
298-65516 298 days ago |
12-41939 12 days |
| 29574 |
JarodAlper author:JarodAlper |
feat: regular local rings are domains |
We have added three new files in Mathlib/RingTheory/LocalRing
* EmbeddingDimension.lean
* LocalRingDimension.lean
* RegularLocalRings.lean
We have added two lemmas and an instance in Mathlib/RingTheory/LocalRing/RingHom/Basic.lean
This work was done by Jarod Alper and Brian Nugent.
---
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|
merge-conflict
t-ring-theory
new-contributor
|
910/3 |
Mathlib.lean,Mathlib/RingTheory/LocalRing/EmbeddingDimension.lean,Mathlib/RingTheory/LocalRing/LocalRingDimension.lean,Mathlib/RingTheory/LocalRing/RegularLocalRings.lean,Mathlib/RingTheory/LocalRing/RingHom/Basic.lean,lake-manifest.json |
6 |
2 |
['github-actions', 'mathlib4-merge-conflict-bot'] |
nobody |
210-67823 6 months ago |
277-69078 277 days ago |
1-50449 1 day |
| 28718 |
imbrem author:imbrem |
feat: class for chosen finite coproducts |
Added basic `ChosenFiniteCoproducts` class, and started porting some of the lemmas about `ChosenFiniteProducts` suitably translated
---
This, combined with #20182 modified to use chosen finite coproducts and premonoidal categories (#21488), should be enough for me to formalize strong Elgot categories, and hence a lot of categorical iteration theory for my PhD thesis.
Re-done from #21603 to deal with changes in #24399 and #24390
Eventually, if we really want to harmonize approaches, we could introduce an `AddMonoidalCategory` struct and do the analogous to #24399 and #24390 for additive monoidal structure, but that seems like a massive overcomplication for now. It would allow formalizing fun things like rig categories, though.
- [ ] depends on: #30150 |
blocked-by-other-PR
t-category-theory
new-contributor
merge-conflict
awaiting-author
|
290/0 |
Mathlib.lean,Mathlib/CategoryTheory/ChosenFiniteCoproducts.lean |
2 |
9 |
['YaelDillies', 'github-actions', 'imbrem', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot', 'robin-carlier'] |
nobody |
210-67735 6 months ago |
301-17889 301 days ago |
0-24930 6 hours |
| 26765 |
KiringYJ author:KiringYJ |
feat(MeasureTheory/PiSystem): add π-λ theorem and SetLike instance |
Add two small features to `MeasureTheory/PiSystem`:
1. SetLike instance
`instance : SetLike (DynkinSystem α) (Set α)`
This lets us write `s ⊆ d` and `t ∈ d` for a DynkinSystem `d`, matching usual mathlib style.
2. `DynkinSystem.pi_lambda` lemma
Classical π‑λ theorem: if a π‑system `s` is contained in a Dynkin system `d`, every set measurable for `σ(s)` is also in `d`.
Currently, mathlib exposes this result only indirectly (e.g. via `generateFrom_eq`). Although logically equivalent, it is not obvious at first glance that those lemmas are the π‑λ theorem. The new lemma states the result in its familiar textbook form, so users can recognise and cite it immediately.
Both pieces are under 10 lines, term‑mode only, and do not modify existing APIs.
No breaking changes.
No dependencies.
|
awaiting-author
t-measure-probability
new-contributor
|
13/0 |
Mathlib/MeasureTheory/PiSystem.lean |
1 |
14 |
['EtienneC30', 'KiringYJ', 'dagurtomas', 'github-actions', 'ocfnash'] |
RemyDegenne assignee:RemyDegenne |
210-54131 6 months ago |
210-54131 210 days ago |
138-3922 138 days |
| 30637 |
strihanje01 author:strihanje01 |
feat(Combinatorics/SetFamily/Lindstrom): Lindstrom's theorem for subfamilies with equal unions |
add Lindstrom's theorem and its strengthening for equal intersections
---
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|
t-combinatorics
new-contributor
|
209/0 |
Mathlib/Combinatorics/SetFamily/Lindstrom.lean |
1 |
2 |
['github-actions', 'mathlib4-merge-conflict-bot'] |
b-mehta assignee:b-mehta |
207-76280 6 months ago |
211-8039 211 days ago |
31-61152 31 days |
| 32169 |
saodimao20 author:saodimao20 |
feat: add convolution_comp_add_right |
This PR adds a lemma `convolution_comp_translation_right` showing that convolution commutes with translation on the right operand. Specifically, it proves that for an additive commutative group $G$, the convolution of a function $f$ with a translated function $x \mapsto g(a + x)$ is equal to the convolution of $f$ and $g$ evaluated at $x + a$.
---
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|
t-analysis
new-contributor
awaiting-author
|
14/0 |
Mathlib/Analysis/Convolution.lean |
1 |
3 |
['github-actions', 'urkud'] |
nobody |
202-10302 6 months ago |
202-10302 202 days ago |
0-82278 22 hours |
| 32126 |
nielsvoss author:nielsvoss |
feat(Analysis/Normed/Operator): definition of singular values for linear maps |
This PR defines a generalization of singular values, the approximation numbers, for continuous linear maps between normed vector spaces. It proves basic lemmas about the approximation numbers and shows that for finite-dimensional vector spaces, the approximation numbers coincide with the standard definition of singular values.
See the discussion on Zulip: https://leanprover.zulipchat.com/#narrow/channel/217875-Is-there-code-for-X.3F/topic/Singular.20Value.20Decomposition/with/558914024
Co-authored-by: Arnav Mehta <arnavmehta@berkeley.edu>
Co-authored-by: Rawad Kansoh <rak104@mail.aub.edu>
---
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|
WIP
t-analysis
new-contributor
|
331/0 |
Mathlib/Analysis/Normed/Operator/SingularValues.lean |
1 |
2 |
['github-actions', 'nielsvoss'] |
nobody |
201-47843 6 months ago |
unknown |
0-0 0 seconds |
| 30525 |
515801431 author:515801431 |
feat(Mathlib/Combinatorics/Enumerative/Polya): Add Polya Counting |
This PR introduces basic definitions and results about colorings under permutation group actions.
A coloring is defined as a function X → Y, and the permutation group Equiv.Perm X acts on colorings by precomposition:
(g • c) x = c (g⁻¹ • x)
This formalizes the natural action of relabeling the elements of X.
Main definitions
MulAction (Equiv.Perm X) (X → Y):
The action of the permutation group on colorings via precomposition.
coloringEquiv (c₁ c₂ : X → Y) : Prop:
Two colorings are equivalent if they lie in the same orbit under this action, i.e.
∃ f : Equiv.Perm X, f • c₁ = c₂.
Main results
smul_eq_iff_mem_stabilizer:
Characterizes when two group actions on the same coloring are equal, showing that
g • c = f • c ↔ f⁻¹ * g ∈ stabilizer c.
coloringEquiv_equivalence:
Proves that coloringEquiv defines an equivalence relation on X → Y.
orbit_size_eq_index:
Reformulates the orbit–stabilizer theorem in the context of colorings:
|orbit c| = |Perm X| / |stabilizer c|
Motivation
These results provide foundational infrastructure for studying Burnside’s lemma and Pólya’s enumeration theorem in Mathlib, where the enumeration of distinct colorings up to symmetry plays a central role. |
t-combinatorics
new-contributor
awaiting-author
merge-conflict
|
113/0 |
Mathlib.lean,Mathlib/Combinatorics/Enumerative/Polya.lean |
2 |
8 |
['IvanRenison', 'alreadydone', 'github-actions', 'mathlib4-merge-conflict-bot'] |
awainverse assignee:awainverse |
194-55441 6 months ago |
203-12584 203 days ago |
39-43570 39 days |
| 31113 |
515801431 author:515801431 |
feat(Mathlib/Combinatorics/Enumerative/Polya.lean): Add additional theorem in `Polya.lean` |
---
- [ ] depends on: #30525
---
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|
t-combinatorics
new-contributor
blocked-by-other-PR
merge-conflict
|
302/0 |
Mathlib.lean,Mathlib/Combinatorics/Enumerative/Polya.lean |
2 |
4 |
['github-actions', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
b-mehta assignee:b-mehta |
194-55317 6 months ago |
203-77743 203 days ago |
16-78251 16 days |
| 24441 |
MrSumato author:MrSumato |
feat(Data/List): add Lyndon-Schutzenberger theorem on list commutativity |
Add Lyndon-Schutzenberger theorem on list commutativity. Included definition for List.repeatSelf that returns list repeated n times.
---
This is my first mathlib PR, so any comments are highly appreciated.
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|
merge-conflict
awaiting-author
t-data
new-contributor
|
129/1 |
Mathlib.lean,Mathlib/Data/List/Commutativity.lean,Mathlib/Data/List/Defs.lean,Mathlib/Data/List/Lemmas.lean |
4 |
38 |
['MrSumato', 'github-actions', 'grunweg', 'madvorak', 'mathlib4-merge-conflict-bot', 'plp127'] |
grunweg assignee:grunweg |
194-50919 6 months ago |
376-77263 376 days ago |
29-59355 29 days |
| 31147 |
daefigueroa author:daefigueroa |
feat(Dynamics): point transitive monoid actions and transitive points |
We define point transitivity for a monoid action on a topological space and define the set of transitive points. We add some basic lemmas and implications between topological transitivity and point transitivity.
---
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- [x] depends on: #28001
[](https://gitpod.io/from-referrer/) |
t-dynamics
new-contributor
awaiting-author
|
114/6 |
Mathlib/Dynamics/Transitive.lean |
1 |
6 |
['github-actions', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot', 'sgouezel'] |
sgouezel assignee:sgouezel |
191-76152 6 months ago |
191-76152 191 days ago |
18-38983 18 days |
| 31987 |
saodimao20 author:saodimao20 |
feat: add monotonicity and relation lemmas for mgf and cgf |
Add two lemmas about moment-generating and cumulant-generating functions:
- `mgf_mono_in_t_of_nonneg`: For nonnegative random variables, the mgf is monotone in the parameter `t`
- `cgf_zero_of_mgf_one`: The cgf equals zero iff the mgf equals one
These lemmas are useful for studying properties of mgf and cgf in probability theory.
Contributed by sequential-intelligence-lab(SIL), University of Virginia
---
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|
t-measure-probability
new-contributor
awaiting-author
|
21/0 |
Mathlib/Probability/Moments/Basic.lean |
1 |
5 |
['DavidLedvinka', 'github-actions'] |
RemyDegenne assignee:RemyDegenne |
185-68258 6 months ago |
185-68258 185 days ago |
21-31799 21 days |
| 32938 |
0xTerencePrime author:0xTerencePrime |
feat(Order/LocallyFinite): prove DenselyOrdered and LocallyFiniteOrder are incompatible |
## Summary
This PR proves that a nontrivial densely ordered linear order cannot be locally finite.
## Main results
* `not_locallyFiniteOrder`: A densely ordered locally finite linear order must be subsingleton.
* `not_locallyFiniteOrder_of_nontrivial`: The main theorem - incompatibility of the two properties.
Note: This implementation imports `Mathlib.Order.Interval.Set.Infinite` to reuse the existing `Set.Icc_infinite` theorem, ensuring standard library consistency.
## Mathematical content
The key insight is that in a densely ordered type, we can always find a new element between any two distinct elements. This means any nontrivial interval contains infinitely many elements. However, `LocallyFiniteOrder` requires intervals to be finite. This contradiction implies that such a type cannot exist (unless it is trivial).
## Motivation
This resolves a TODO mentioned in #7987 (Data/Finset/LocallyFinite entry).
## Verification
- [x] `lake build Mathlib.Order.LocallyFinite.Basic` passes
- [x] `lake exe runLinter Mathlib.Order.LocallyFinite.Basic` passes
|
t-order
new-contributor
awaiting-author
|
28/0 |
Mathlib/Order/Interval/Finset/Basic.lean |
1 |
10 |
['0xTerencePrime', 'CoolRmal', 'github-actions', 'jcommelin', 'plp127'] |
nobody |
181-5260 5 months ago |
181-5300 181 days ago |
3-22290 3 days |
| 32698 |
farruhx author:farruhx |
feat(List): add aesop / simp annotations to selected lemmas for improved automation |
This PR adds `@[aesop safe]` and `@[simp]` annotations to a set
of List lemmas whose proofs are routine and benefit from standardized
automation. No statements or definitions are changed; only proof annotations
are added.
The lemmas updated in this PR are:
* `or_exists_of_exists_mem_cons`
* `append_subset_of_subset_of_subset`
* `map_subset_iff`
* `append_eq_has_append`
* `append_right_injective`
* `append_left_injective`
* `reverse_surjective`
* `reverse_bijective`
* `mem_getLast?_append_of_mem_getLast?`
* `mem_dropLast_of_mem_of_ne_getLast`
* `idxOf_eq_length_iff`
* `idxOf_append_of_mem`
* `length_eraseP_add_one`
The goal is to make these commonly used lemmas easier for `aesop`-based
automation to resolve, while avoiding any interference with simp-normal-form
lemmas or canonical rewrite rules.
There are no API changes and no new theorems—only improved automation behavior. |
t-data
new-contributor
awaiting-author
|
18/1 |
Mathlib/Data/List/Basic.lean |
1 |
8 |
['artie2000', 'euprunin', 'farruhx', 'github-actions'] |
pechersky assignee:pechersky |
180-40029 5 months ago |
180-40029 180 days ago |
7-31364 7 days |
| 27817 |
zhuyizheng author:zhuyizheng |
feat: add IMO2025P1 |
Add a solution to IMO2025P1, the original problem statement from https://github.com/jsm28/IMOLean
---
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PR is merged. Please leave a blank newline before the `---`, otherwise
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-->
[](https://gitpod.io/from-referrer/)
|
IMO
awaiting-author
new-contributor
merge-conflict
|
1310/0 |
Archive.lean,Archive/Imo/Imo2025Q1.lean |
2 |
9 |
['github-actions', 'kim-em', 'mathlib4-merge-conflict-bot', 'zhuyizheng'] |
dwrensha assignee:dwrensha |
179-72226 5 months ago |
239-36794 239 days ago |
59-36769 59 days |
| 33218 |
Blackfeather007 author:Blackfeather007 |
feat(Algebra): Define the associated graded ring to filtered ring |
Define the associated graded ring to a filtered ring.
---
- [ ] depends on: #33217
migrated from https://github.com/leanprover-community/mathlib4/pull/26858 |
t-ring-theory
new-contributor
blocked-by-other-PR
|
450/0 |
Mathlib.lean,Mathlib/RingTheory/FilteredAlgebra/AssociatedGraded.lean |
2 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
177-18491 5 months ago |
177-23776 177 days ago |
0-132 2 minutes |
| 33219 |
Blackfeather007 author:Blackfeather007 |
feat(Algebra): Define associated graded algebra |
Define the associated graded algebra of a filtered algebra, constructed from a special case of associated graded ring.
---
- [ ] depends on: #33218
migrated from #26859
|
t-ring-theory
new-contributor
blocked-by-other-PR
|
563/0 |
Mathlib.lean,Mathlib/RingTheory/FilteredAlgebra/AssociatedGraded.lean |
2 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
177-18383 5 months ago |
177-23550 177 days ago |
0-133 2 minutes |
| 33220 |
Blackfeather007 author:Blackfeather007 |
feat(Algebra): Define associated graded module |
Define the associated graded module to a filtered module.
---
- [ ] depends on: #33218
migrated from #26860
|
t-ring-theory
new-contributor
blocked-by-other-PR
|
669/0 |
Mathlib.lean,Mathlib/RingTheory/FilteredAlgebra/AssociatedGraded.lean |
2 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
177-18299 5 months ago |
177-23362 177 days ago |
0-137 2 minutes |
| 33227 |
Blackfeather007 author:Blackfeather007 |
feat(Algebra): exact of associated graded exact |
We proved that a chain complex is exact if its associated graded complex is exact.
Co-authored-by: Huanyu Zheng @Yu-Misaka [suzuka@misaka-yu.com](mailto:suzuka@misaka-yu.com)
Co-authored-by: Yi Yuan @yuanyi-350 [kysyy1@126.com](mailto:kysyy1@126.com)
Co-authored-by: Weichen Jiao @AlbertJ-314 [albertjiao314@gmail.com](mailto:albertjiao314@gmail.com)
---
- [ ] depends on: #33226
migrated from #26869 |
t-ring-theory
new-contributor
blocked-by-other-PR
|
728/0 |
Mathlib.lean,Mathlib/RingTheory/FilteredAlgebra/AssociatedGraded.lean,Mathlib/RingTheory/FilteredAlgebra/Exactness.lean,Mathlib/RingTheory/FilteredAlgebra/FilteredHom.lean |
4 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
177-15971 5 months ago |
177-15972 177 days ago |
0-1208 20 minutes |
| 33226 |
Blackfeather007 author:Blackfeather007 |
feat(Algebra): associated graded exact of exact and strict |
In this file, we define the concept of exhaustive filtrations.
We also prove a AssociatedGradedRingHom sequence is exact iff each GradedPieceHom is exact.
And when a sequence is strict exact, the corresponding AssociatedGradedRingHom sequence is also exact.
Co-authored-by: Huanyu Zheng @Yu-Misaka [suzuka@misaka-yu.com](mailto:suzuka@misaka-yu.com)
Co-authored-by: Yi Yuan @yuanyi-350 [kysyy1@126.com](mailto:kysyy1@126.com)
Co-authored-by: Weichen Jiao @AlbertJ-314 [albertjiao314@gmail.com](mailto:albertjiao314@gmail.com)
---
- [ ] depends on: #33222
migrated from #26868 |
t-ring-theory
new-contributor
blocked-by-other-PR
|
529/0 |
Mathlib.lean,Mathlib/RingTheory/FilteredAlgebra/AssociatedGraded.lean,Mathlib/RingTheory/FilteredAlgebra/Exactness.lean,Mathlib/RingTheory/FilteredAlgebra/FilteredHom.lean |
4 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
177-15969 5 months ago |
177-15970 177 days ago |
0-1307 21 minutes |
| 33225 |
Blackfeather007 author:Blackfeather007 |
feat(Algebra): filtered module hom |
In this PR we defined the filtered semi-linear map for filtered module and the associated graded module hom.
---
- [ ] depends on: #33220
- [ ] depends on: #33223
migrated from #26867 |
t-ring-theory
new-contributor
blocked-by-other-PR
|
1205/0 |
Mathlib.lean,Mathlib/RingTheory/FilteredAlgebra/AssociatedGraded.lean,Mathlib/RingTheory/FilteredAlgebra/FilteredHom.lean |
3 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
177-15968 5 months ago |
177-15969 177 days ago |
0-1805 30 minutes |
| 33224 |
Blackfeather007 author:Blackfeather007 |
feat(Algebra): define filtered alghom |
In this PR, we define the filtered algebra homomorphisms on algebras and prove some basic properties of
them.
---
- [ ] depends on: #33219
- [ ] depends on: #33223
migrated from #26863 |
t-ring-theory
new-contributor
blocked-by-other-PR
|
1055/0 |
Mathlib.lean,Mathlib/RingTheory/FilteredAlgebra/AssociatedGraded.lean,Mathlib/RingTheory/FilteredAlgebra/FilteredHom.lean |
3 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
177-15966 5 months ago |
177-15967 177 days ago |
0-2046 34 minutes |
| 33223 |
Blackfeather007 author:Blackfeather007 |
feat(Algebra): define filtered ring homomorphism |
In this PR, we define the filtered ring morphisms on rings and prove some basic properties of
them.
Co-authored-by: Huanyu Zheng @Yu-Misaka [suzuka@misaka-yu.com](mailto:suzuka@misaka-yu.com)
Co-authored-by: Yi Yuan @yuanyi-350 [kysyy1@126.com](mailto:kysyy1@126.com)
Co-authored-by: Weichen Jiao @AlbertJ-314 [albertjiao314@gmail.com](mailto:albertjiao314@gmail.com)
---
- [ ] depends on: #33218
- [ ] depends on: #33222
migrated from #26862 |
t-ring-theory
new-contributor
blocked-by-other-PR
|
824/0 |
Mathlib.lean,Mathlib/RingTheory/FilteredAlgebra/AssociatedGraded.lean,Mathlib/RingTheory/FilteredAlgebra/FilteredHom.lean |
3 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
177-15963 5 months ago |
177-15966 177 days ago |
0-2257 37 minutes |
| 33222 |
Blackfeather007 author:Blackfeather007 |
feat(Algebra): define filtered add group hom |
In this file we define filtered hom and the corresponding associated graded hom for abelian groups.
Co-authored-by: Huanyu Zheng @Yu-Misaka [suzuka@misaka-yu.com](mailto:suzuka@misaka-yu.com)
Co-authored-by: Yi Yuan @yuanyi-350 [kysyy1@126.com](mailto:kysyy1@126.com)
Co-authored-by: Weichen Jiao @AlbertJ-314 [albertjiao314@gmail.com](mailto:albertjiao314@gmail.com)
---
- [ ] depends on: #33217
migrated from #26861
|
new-contributor
t-ring-theory
blocked-by-other-PR
|
368/0 |
Mathlib.lean,Mathlib/RingTheory/FilteredAlgebra/AssociatedGraded.lean,Mathlib/RingTheory/FilteredAlgebra/FilteredHom.lean |
3 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
177-15962 5 months ago |
177-15963 177 days ago |
0-2249 37 minutes |
| 32264 |
jjtowery author:jjtowery |
feat(Bicategory): add lax slice bicategory |
---
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In this PR, I define the lax slice bicategory for a lax functor over an object. I also give the change of slice strict pseudofunctor. These are from Section 7.1 of Johnson & Yau and are essential for their Whitehead theorem for bicategories (lax functor biequivalence iff essentially surjective, essentially full, and fully faithful), which I'd like to prove at some point.
[](https://gitpod.io/from-referrer/)
|
t-category-theory
new-contributor
awaiting-author
|
527/0 |
Mathlib.lean,Mathlib/CategoryTheory/Bicategory/LaxSlice.lean |
2 |
12 |
['dagurtomas', 'github-actions', 'jjtowery', 'robin-carlier'] |
dagurtomas assignee:dagurtomas |
173-44448 5 months ago |
196-47905 196 days ago |
3-47959 3 days |
| 33163 |
Aaron1011 author:Aaron1011 |
feat: prove subgroup of (M -> Z) is finitely generated |
---
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[](https://gitpod.io/from-referrer/)
|
t-ring-theory
new-contributor
awaiting-author
|
5/0 |
Mathlib/RingTheory/DedekindDomain/Dvr.lean |
1 |
2 |
['erdOne', 'github-actions'] |
alreadydone assignee:alreadydone |
172-54050 5 months ago |
172-54050 172 days ago |
5-81520 5 days |
| 33502 |
MrQubo author:MrQubo |
fix(Tactic/ProxyType): Pass params explicitly in proxy_equiv% implementation |
Fix [#mathlib4 > `deriving Fintype` with Prop](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/.60deriving.20Fintype.60.20with.20Prop/with/566118621)
---
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[](https://gitpod.io/from-referrer/)
|
new-contributor
t-meta
WIP
|
12/2 |
Mathlib/Tactic/ProxyType.lean,MathlibTest/DeriveFintype.lean |
2 |
7 |
['MrQubo', 'github-actions', 'kmill'] |
kmill assignee:kmill |
165-49165 5 months ago |
165-49166 165 days ago |
0-60133 16 hours |
| 17176 |
arulandu author:arulandu |
feat: integrals and integrability with .re |
Lemmas for swapping order of .re and integration/integrability.
---
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PR is merged. Please leave a blank newline before the `---`, otherwise
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
new-contributor
t-measure-probability
please-adopt
|
49/0 |
Mathlib/MeasureTheory/Function/L1Space.lean,Mathlib/MeasureTheory/Integral/IntegrableOn.lean,Mathlib/MeasureTheory/Integral/IntervalIntegral.lean,Mathlib/MeasureTheory/Integral/SetIntegral.lean |
4 |
32 |
['EtienneC30', 'arulandu', 'github-actions', 'loefflerd'] |
nobody |
163-52163 5 months ago |
611-13000 611 days ago |
9-73631 9 days |
| 33330 |
michael-novak-math author:michael-novak-math |
feat: add arc-length reparametrization of parametrized curves |
add new definitions of arc-length reparametrization and its corresponding parameter transformation and a theorem establishing the desired properties. |
t-analysis
new-contributor
awaiting-author
merge-conflict
|
311/0 |
Mathlib.lean,Mathlib/Analysis/Calculus/ArcLengthReparametrization.lean,Mathlib/MeasureTheory/Integral/IntervalIntegral/FundThmCalculus.lean,docs/references.bib |
5 |
57 |
['SnirBroshi', 'github-actions', 'grunweg', 'j-loreaux', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot', 'michael-novak-math'] |
j-loreaux assignee:j-loreaux |
161-33118 5 months ago |
86-7845 86 days ago |
6-69934 6 days |
| 33299 |
kingiler author:kingiler |
feat: Add decidable membership for Interval |
Implemented membership and corresponding decidable instance for `Interval`.
Related [#mathlib4 > Proposal: Add decidable membership for Interval](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Proposal.3A.20Add.20decidable.20membership.20for.20Interval/with/565438009).
---
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Moves:
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[](https://gitpod.io/from-referrer/)
|
awaiting-author
new-contributor
t-order
|
16/1 |
Mathlib/Order/Interval/Basic.lean |
1 |
5 |
['Vierkantor', 'eric-wieser', 'github-actions', 'kingiler'] |
Vierkantor assignee:Vierkantor |
160-62469 5 months ago |
160-62469 160 days ago |
13-42146 13 days |
| 30142 |
shalliso author:shalliso |
feat(Topology/Baire): define IsNonMeagre |
non-meagre sets (also known as "of the second category") are worthy of their own definition and API. This was useful to me for formalizing a result of "automatic continuity", that is, a Baire-measurable homomorphism between Polish groups must be continuous. Simply working with the negation of IsMeagre quickly became cumbersome, and non-meagre sets have an important role in the study of Polish (e.g. locally compact) groups.
From https://github.com/shalliso/automatic_continuity
---
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Please ask for help on https://leanprover.zulipchat.com if needed.
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|
t-topology
new-contributor
merge-conflict
awaiting-author
|
83/1 |
Mathlib/Topology/Baire/NonMeagre.lean,Mathlib/Topology/GDelta/Basic.lean |
2 |
6 |
['github-actions', 'grunweg', 'mathlib4-merge-conflict-bot'] |
nobody |
159-72153 5 months ago |
159-72154 159 days ago |
98-58846 98 days |
| 32880 |
0xTerencePrime author:0xTerencePrime |
feat(Analysis/Asymptotics): define subpolynomial growth |
## Main definitions
* `Asymptotics.IsSubpolynomial l f g`: A function `f` has subpolynomial growth with respect to `g` along filter `l` if `f = O(1 + ‖g‖^k)` for some natural `k`.
## Main results
* `IsSubpolynomial.const`: Constant functions have subpolynomial growth
* `IsSubpolynomial.id`: Identity has subpolynomial growth
* `IsSubpolynomial.add`: Closure under addition
* `IsSubpolynomial.neg`: Closure under negation
* `IsSubpolynomial.sub`: Closure under subtraction
* `IsSubpolynomial.mul`: Closure under multiplication
* `IsSubpolynomial.pow`: Closure under powers
* `isSubpolynomial_iff_one_add`: Equivalence with `(1 + ‖g‖)^k` formulation
* `IsSubpolynomial.uniform`: Uniform bounds for finite families
## Implementation notes
The definition uses `1 + ‖g‖^k` rather than `(1 + ‖g‖)^k` as the primary form, with the equivalence established in `isSubpolynomial_iff_one_add`. Four private auxiliary lemmas handle the key inequalities needed for closure proofs.
Closes #32658
|
awaiting-author
t-analysis
new-contributor
|
185/0 |
Mathlib.lean,Mathlib/Analysis/Asymptotics/Subpolynomial.lean |
2 |
29 |
['0xTerencePrime', 'ADedecker', 'github-actions', 'j-loreaux'] |
ADedecker assignee:ADedecker |
156-55237 5 months ago |
157-36695 157 days ago |
22-14560 22 days |
| 33948 |
anivegesana author:anivegesana |
feat(Analysis/Normed/Algebra): matrix exponential of nilpotent matrix |
Where the matrix exponential and nilpotent elements are defined, both the matrix exponential and the nilpotent element exponential. I had to add a different theorem for normed space exponential and the matrix exponential since the right instances wouldn't be synthesized. Help with golfing would be appreciated.
---
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|
new-contributor
t-analysis
|
34/0 |
Mathlib/Analysis/Normed/Algebra/Exponential.lean,Mathlib/Analysis/Normed/Algebra/MatrixExponential.lean |
2 |
1 |
['github-actions'] |
nobody |
155-19822 5 months ago |
155-19894 155 days ago |
155-19334 155 days |
| 30391 |
rudynicolop author:rudynicolop |
feat(Data/List): list splitting definitions and lemmas |
This PR continues the work from #24395.
Original PR: https://github.com/leanprover-community/mathlib4/pull/24395 |
t-data
new-contributor
awaiting-author
|
108/2 |
Mathlib/Data/List/Perm/Lattice.lean,Mathlib/Data/List/TakeDrop.lean |
2 |
50 |
['BoltonBailey', 'IlPreteRosso', 'TwoFX', 'Vierkantor', 'github-actions', 'kckennylau', 'mathlib4-merge-conflict-bot', 'rudynicolop'] |
TwoFX assignee:TwoFX |
152-73568 5 months ago |
152-82090 152 days ago |
93-10043 93 days |
| 29282 |
Jlh18 author:Jlh18 |
feat(CategoryTheory): HasColimits instance on Grpd |
Show that the category of groupoids has all small colimits, as a coreflective subcategory of `Cat`, which has all small colimits. The right adjoint of the forgetful functor is the core functor `CategoryTheory.Core.functor`.
- [ ] depends on: #29283 [Core of a category as a functor]
---
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|
merge-conflict
blocked-by-other-PR
new-contributor
t-category-theory
|
140/4 |
Mathlib.lean,Mathlib/AlgebraicTopology/FundamentalGroupoid/InducedMaps.lean,Mathlib/CategoryTheory/Category/Grpd.lean,Mathlib/CategoryTheory/Core.lean,Mathlib/CategoryTheory/Groupoid/Grpd/Colimit.lean,Mathlib/CategoryTheory/Groupoid/Grpd/Core.lean |
6 |
3 |
['github-actions', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
nobody |
150-83648 4 months ago |
288-29032 288 days ago |
0-396 6 minutes |
| 32745 |
LTolDe author:LTolDe |
feat(Topology/Algebra): add MulActionConst.lean |
add Topology/Algebra/MulActionConst.lean
introduce class `ContinuousSMulConst` for a scalar multiplication that is continuous in the first argument, in analogy to `ContinuousConstSMul`
define `MulAction.ball x U` as the set `U • {x}` given `[SMul G X] (x : X) (U : Set G)`
The lemmas shown here will be useful to prove the **Effros Theorem**, see [zulip](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Effros.20Theorem/with/558712441).
---
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|
awaiting-author
new-contributor
t-topology
|
117/0 |
Mathlib.lean,Mathlib/Topology/Algebra/MulActionConst.lean |
2 |
8 |
['LTolDe', 'github-actions', 'urkud'] |
nobody |
149-69514 4 months ago |
156-49044 156 days ago |
16-33128 16 days |
| 33478 |
anishrajeev author:anishrajeev |
feat(ModelTheory): define a subset of the topology over complete types |
Define a subset of the Stone Space over a language expanded with countably many constants. Define the proposition to indicate if a language is countable. The subset's density and openness is a future goal to prove (have a branch where it is almost finished), in pursuit of formalizing the proof of the Omitting Types Theorem via properties of Baire spaces.
- [ ] depends on: #32215
- [ ] depends on: #32546 |
t-logic
merge-conflict
new-contributor
blocked-by-other-PR
|
160/1 |
Mathlib.lean,Mathlib/ModelTheory/Topology/Types.lean,Mathlib/ModelTheory/Types.lean,Mathlib/Tactic/Linter/DirectoryDependency.lean |
4 |
8 |
['NoneMore', 'anishrajeev', 'github-actions', 'mathlib-dependent-issues', 'mathlib4-merge-conflict-bot', 'tb65536'] |
nobody |
148-63033 4 months ago |
156-76857 156 days ago |
10-38484 10 days |
| 34141 |
gululu996-ui author:gululu996-ui |
feat(Combinatorics/SimpleGraph/Acyclic): finite trees have at least two degree-one vertices |
Add a lemma showing that a finite tree with at least two vertices has at least two vertices of degree 1.
- Introduce a helper lemma `SimpleGraph.Connected.one_le_degree` for connected graphs on a nontrivial finite type.
- Prove the leaf-count lower bound via the degree-sum identity and a counting argument.
---
|
awaiting-author
new-contributor
t-combinatorics
|
72/2 |
Mathlib/Combinatorics/SimpleGraph/Acyclic.lean |
1 |
9 |
['IvanRenison', 'SnirBroshi', 'github-actions', 'vlad902'] |
nobody |
146-66791 4 months ago |
148-48227 148 days ago |
1-23617 1 day |
| 29953 |
slashbade author:slashbade |
feat: add reap for experiment |
---
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|
new-contributor |
40/3 |
Cache/IO.lean,Mathlib/Tactic/Common.lean,Mathlib/Tactic/Linter/DirectoryDependency.lean,lake-manifest.json,lakefile.lean |
5 |
3 |
['github-actions', 'mathlib4-merge-conflict-bot'] |
nobody |
141-59316 4 months ago |
unknown |
0-0 0 seconds |
| 31377 |
CoolRmal author:CoolRmal |
feat: a series of smooth functions that converges (locally) uniformly is smooth |
The main theorem is the proof that an infinite sum of $C^n$ functions on a one-dimensional domain which converges locally uniformly is $C^n$ and related results.
This should be compared with [contDiff_tsum](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Analysis/Calculus/SmoothSeries.html#contDiff_tsum) where the same result is proved for functions on an arbitrary domain but with a slightly stronger convergence assumption.
The main motivation for this PR is the [#mathlib4 > Tychonov's Counterexample for the Heat Equation](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Tychonov's.20Counterexample.20for.20the.20Heat.20Equation/with/547367912).
---
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|
t-topology
new-contributor
awaiting-author
merge-conflict
|
110/18 |
Mathlib/Analysis/Calculus/SmoothSeries.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Cotangent.lean,Mathlib/NumberTheory/ModularForms/EisensteinSeries/QExpansion.lean,Mathlib/Topology/Algebra/InfiniteSum/TsumUniformlyOn.lean,Mathlib/Topology/Algebra/InfiniteSum/UniformOn.lean |
5 |
20 |
['CoolRmal', 'github-actions', 'mathlib4-merge-conflict-bot', 'ocfnash', 'sgouezel'] |
ocfnash assignee:ocfnash |
140-48889 4 months ago |
201-65854 201 days ago |
8-14942 8 days |
| 33031 |
chiyunhsu author:chiyunhsu |
feat(Combinatorics/Enumerative/Partition): add combinatorial proof of Euler's partition theorem |
The new file EulerComb.lean contains the combinatorial proof of Euler's partition theorem. The analytic proof of the theorem and its generalization of Glaisher's Theorem has already been formalized in [Glaisher.lean](https://github.com/leanprover-community/mathlib4/blob/master/Mathlib/Combinatorics/Enumerative/Partition/Glaisher.lean). The generalization of the combinatorial proof from this file to Glaisher's Theorem is within reach.
---
Zulip discussion: [#mathlib4 > Glaisher’s Bijection on integer partitions](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Glaisher.E2.80.99s.20Bijection.20on.20integer.20partitions/with/570808111)
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|
t-combinatorics
new-contributor
awaiting-zulip
awaiting-author
|
531/0 |
Mathlib.lean,Mathlib/Combinatorics/Enumerative/Partition/EulerComb.lean |
2 |
7 |
['chiyunhsu', 'dagurtomas', 'github-actions', 'tb65536', 'vihdzp'] |
b-mehta assignee:b-mehta |
139-72410 4 months ago |
139-72410 139 days ago |
42-21618 42 days |
| 34130 |
FlAmmmmING author:FlAmmmmING |
feat(Combinatorics/SimpleGraph/Acyclic): Add new theorem `isTree_iff_uniqueShortest_path` |
---
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awaiting-author
t-combinatorics
new-contributor
|
28/1 |
Mathlib/Combinatorics/SimpleGraph/Acyclic.lean |
1 |
9 |
['IvanRenison', 'github-actions', 'metakunt', 'vlad902'] |
nobody |
139-8417 4 months ago |
147-78832 147 days ago |
2-6389 2 days |
| 34487 |
martinwintermath author:martinwintermath |
feat(LinearAlgebra/SesquilinearForm): add instances for SeparatingLeft, SeparatingRight and Nondegenerate |
Add typeclass instances for `Fact B.SeparatingLeft`, `Fact B.SeparatingRight`, `Fact B.Nondegenerate`:
* inferring `Fact B.flip.SeparatingLeft` from `Fact B.SeparatingRight` and vice versa
* inferring `Fact B.SeparatingLeft` and `Fact B.SeparatingRight` from `Fact B.Nondegenerate`
* inferring `Fact B.SeparatingLeft` and `Fact B.Nondegenerate` for `.id` and `Dual.eval`
* inferring `Fact B.Nondegenerate` from `B.IsPerfPair`
I also updated `PointedCone.dual_univ` to demonstrate the usefulness of these additions. Note that I needed to add an import to `Cone/Dual.lean` which somehow imports cardinals. So I needed to remove cardinals from `assert_not_exists`.
---
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t-algebra
new-contributor
large-import
merge-conflict
label:t-algebra$ |
67/12 |
Mathlib/Geometry/Convex/Cone/Dual.lean,Mathlib/LinearAlgebra/Dual/Lemmas.lean,Mathlib/LinearAlgebra/PerfectPairing/Basic.lean,Mathlib/LinearAlgebra/SesquilinearForm/Basic.lean |
2 |
4 |
['github-actions', 'martinwintermath', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot'] |
joelriou assignee:joelriou |
138-81471 4 months ago |
79-67808 79 days ago |
13-75766 13 days |
| 34028 |
floor-licker author:floor-licker |
feat(SimpleGraph): add max-flow/min-cut weak duality |
This PR introduces a basic s–t flow setup for undirected SimpleGraphs and proves the standard weak-duality
inequality: for any feasible flow f and any s–t cut S, value f ≤ cutCapacity S.
This is a small, self-contained lemma I extracted while working on larger graph-theoretic formalizations, in particular, results that will ultimately rely on a full max-flow/min-cut theorem. The full MFMC equality/existence statement is not included here. This is the weak-duality direction (∀ f S, value f ≤ cutCapacity S).
|
t-combinatorics
new-contributor
|
169/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Connectivity/MaxFlowMinCut.lean |
2 |
14 |
['SnirBroshi', 'floor-licker', 'github-actions', 'mathlib-merge-conflicts'] |
kmill assignee:kmill |
138-34111 4 months ago |
89-57640 89 days ago |
61-8543 61 days |
| 32609 |
PrParadoxy author:PrParadoxy |
feat(LinearAlgebra/PiTensorProduct): Relation between nested tensor products and tensor products indexed by dependent sums |
Product tensors in `⨂ j : (Σ i, β i), s j.fst j.snd` can be mapped to
product tensors in `⨂ i, ⨂ b : β i, s i b`. If the outer index type is
finite, the two types are equivalent.
This allows the definition of endomorphisms on PiTensorProducts by
specifying them on disjoint subsets of the index set. Such constructions
are common e.g. in quantum circuits, quantum cellular automata, and
renormalization procedures.
---
WIP.
This PR contains two "requests for comments". Essentially:
* Is a single complex-to-define linear equivalence preferable over
several less complex ones, which might however be of limited interest
by themselves?
* Which trade-offs are appropriate to make things computable?
- [ ] depends on: #32608
- [x] depends on: #32600
- [x] depends on: #32598
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new-contributor
blocked-by-other-PR
merge-conflict
t-algebra
label:t-algebra$ |
683/0 |
Mathlib.lean,Mathlib/Data/Sigma/Basic.lean,Mathlib/LinearAlgebra/Multilinear/Basic.lean,Mathlib/LinearAlgebra/PiTensorProduct/Nested.lean,Mathlib/LinearAlgebra/PiTensorProduct/Set.lean |
5 |
5 |
['github-actions', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
nobody |
137-46222 4 months ago |
191-46660 191 days ago |
0-2004 33 minutes |
| 30260 |
imbrem author:imbrem |
feat(CategoryTheory/Monoidal): added CocartesianMonoidalCategory |
As discussed in #21603 and #28718; this implements chosen finite coproducts on top of `AddMonoidalCategory` as defined in #30150
---
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|
merge-conflict
blocked-by-other-PR
large-import
new-contributor
t-category-theory
|
839/125 |
Mathlib.lean,Mathlib/CategoryTheory/Monoidal/Category.lean,Mathlib/CategoryTheory/Monoidal/Cocartesian/Basic.lean,Mathlib/CategoryTheory/Monoidal/Discrete.lean,Mathlib/Tactic/ToAdditive/GuessName.lean |
5 |
4 |
['github-actions', 'imbrem', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
nobody |
136-85053 4 months ago |
255-35622 255 days ago |
0-1234 20 minutes |
| 30258 |
imbrem author:imbrem |
feat(CategoryTheory/Monoidal): to_additive for proofs using `monoidal` |
Building on #30150, this allows us to use `@[to_additive]` on proofs containing `monoidal`, by tagging the lemmas `monoidal` outputs with `@[to_additive]` as appropriate.
Testing on my branch [`additive-monoidal-coherence`](https://github.com/imbrem/mathlib4/tree/additive-monoidal-coherence) shows that this works.
It is still future work to have either the `monoidal` tactic or a new `add_monoidal` tactic work for `AddMonoidalCategory` instances directly.
---
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|
merge-conflict
blocked-by-other-PR
large-import
new-contributor
t-category-theory
|
524/140 |
Mathlib/CategoryTheory/Monoidal/Category.lean,Mathlib/CategoryTheory/Monoidal/Discrete.lean,Mathlib/Tactic/CategoryTheory/Monoidal/Normalize.lean,Mathlib/Tactic/CategoryTheory/Monoidal/PureCoherence.lean,Mathlib/Tactic/CategoryTheory/MonoidalComp.lean,Mathlib/Tactic/ToAdditive/GuessName.lean |
6 |
3 |
['github-actions', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
nobody |
136-85046 4 months ago |
255-41275 255 days ago |
0-241 4 minutes |
| 32742 |
LTolDe author:LTolDe |
feat(MeasureTheory/Constructions/Polish/Basic): add class SuslinSpace |
add new class `SuslinSpace` for a topological space that is an analytic set in itself
This will be useful to prove the **Effros Theorem**, see [zulip thread](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Effros.20Theorem/with/558712441).
---
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|
new-contributor
awaiting-zulip
t-measure-probability
awaiting-author
|
4/0 |
Mathlib/MeasureTheory/Constructions/Polish/Basic.lean |
1 |
10 |
['ADedecker', 'LTolDe', 'dagurtomas', 'dupuisf', 'github-actions', 'jcommelin'] |
PatrickMassot assignee:PatrickMassot |
136-84820 4 months ago |
173-82978 173 days ago |
14-69429 14 days |
| 31102 |
JOSHCLUNE author:JOSHCLUNE |
feat: require LeanHammer |
Experimenting with adding LeanHammer as a mathlib dependency
---
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|
merge-conflict
new-contributor
t-meta
|
61/4 |
Mathlib/Tactic/Common.lean,Mathlib/Tactic/Linter/DirectoryDependency.lean,MathlibTest/Hammer.lean,lake-manifest.json,lakefile.lean |
5 |
2 |
['github-actions', 'mathlib4-merge-conflict-bot'] |
nobody |
136-75528 4 months ago |
230-47667 230 days ago |
0-6852 1 hour |
| 33431 |
gululu996-ui author:gululu996-ui |
feat(Combinatorics/SimpleGraph/Bipartite): characterize bipartite simple graphs by even cycles |
Add the classical characterization of bipartite simple graphs: a simple graph is bipartite if and only if every cycle has even length.
Previously, mathlib has the definition of `IsBipartite` for `SimpleGraph` and various lemmas about bipartite graphs, but it does not provide this equivalence in a single theorem, so users have to reprove or reassemble it from existing results.
Prove the forward direction by showing a 2-coloring alternates along any walk, so every cycle must have even length. Prove the converse by showing that if an odd cycle exists then no bipartition is possible, hence if all cycles are even the graph admits a bipartition.
|
new-contributor
t-combinatorics
awaiting-author
merge-conflict
|
186/1 |
Mathlib/Combinatorics/SimpleGraph/Bipartite.lean |
1 |
6 |
['NickAdfor', 'github-actions', 'jcommelin', 'mathlib-merge-conflicts'] |
kmill assignee:kmill |
136-75260 4 months ago |
138-76157 138 days ago |
26-3983 26 days |
| 34007 |
martinwintermath author:martinwintermath |
feat(Algebra/Module/Submodule/Dual): dual operator for submodules |
Add new file `Dual.lean` that defines the dual operator for submodules. The main definition is
* `Submodule.dual`: given a bilinear pairing `p` between two modules `M₁` and `M₂` and a submodule `S` in `M₁`, `Submodule.dual p S` is the submodule in `M₂` consisting of all points `y` such that `0 = p x y` for all `x ∈ S`.
For reasons of generality, `p` is actually a general sesqui-bilinear map, that is, of the form
`p : M₁ →ₛₗ[I₁] M₂ →ₛₗ[I₂] M`.
This implementation of the `dual` operator for submodules is written to parallel the implementation of `PointedCone.dual`.
Include some additional results:
* theorems that represent the dual as the kernel of a linear map
* theorems for the relation between dual and the `dualAnnihilator` and `dualCoannihilator` of a submodule.
---
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|
t-algebra
new-contributor
awaiting-author
label:t-algebra$ |
236/0 |
Mathlib.lean,Mathlib/Algebra/Module/Submodule/Dual.lean |
2 |
7 |
['github-actions', 'joelriou', 'martinwintermath', 'mathlib-bors'] |
joelriou assignee:joelriou |
136-71297 4 months ago |
138-53756 138 days ago |
14-81283 14 days |
| 34291 |
YellPika author:YellPika |
feat(Data): a monad for partial computations |
This is the code corresponding to [mathlib4 > A monad for partial computations](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/A.20monad.20for.20partial.20computations/with/569619800). Not currently intended to be merged.
This PR depends on #33941. The only changes relevant to this discussion are in `OmegaPart.lean`, `OmegaProp.lean`, and `Quot.lean`.
# Original Message
Inspired by @**Aaron Liu**'s comments in #**mathlib4>deprecate Mathlib.Data.Nat.PartENat?@538009243** and #**Is there code for X?>Divergence monad@538020049** I made an attempt at constructing a monad for partial computations with a computable `OmegaCompletePartialOrder` instance (neither `Option` nor `Part` support this use case). My solution consists of three parts.
**A computable version of `Quotient.choice`.** As mentioned in #**lean4>Quot.lift for dependent products@467436416** , the "obvious" computational interpretation of `Quotient.choice : (∀i:I, @Quotient (A i) …) → @Quotient (∀i:I, A i)` is not sound. However, we _can_ provide a sound computational interpretation when we restrict `I` to `ℕ`:
```lean
unsafe def Quotient.countableChoice_impl {α : Nat → Type*} {S : ∀ i, Setoid (α i)}
(f : ∀ i, Quotient (S i)) :
@Quotient (∀ i, α i) (by infer_instance) :=
Quotient.lift₂
(fun z s ↦ ⟦fun | .zero => z | .succ n => s n⟧)
(fun z₁ s₁ z₂ s₂ h₁ h₂ ↦ by
apply sound
rintro ⟨_|n⟩
· apply h₁
· apply h₂)
(f 0)
(countableChoice_impl (fun n ↦ f n.succ))
@[implemented_by Quotient.countableChoice_impl]
def Quotient.countableChoice {α : Nat → Type*} {S : ∀ i, Setoid (α i)}
(f : ∀ i, Quotient (S i)) :
@Quotient (∀ i, α i) (by infer_instance) :=
Quotient.choice f
```
My justification for the soundness of this implementation comes from the fact that only uses existing (sound and computable) functions + general recursion. The implementation is found [here](https://github.com/YellPika/mathlib4/blob/99d38f164a97c7aa225283ef6016f0279419a994/Mathlib/Data/Quot.lean#L430) (it uses `unquot` instead of recursion for performance reasons, but should be equivalent).
**A type of semi-computable propositions.** Next, I define a type of semi-computable propositions `ΩProp` as a quotient of the type of boolean sequences `(ℕ → Bool) / ≈`, where `p ≈ q ≝ (∃n, p n) ↔ (∃n, q n)`. A sequence is interpreted as "true" if at least one element in the sequence is `true`, and the quotient relation ensures that we cannot observe the difference between different "true" sequences. The `ΩProp` type has a (computable) `OmegaCompletePartialOrder`, and `Quotient.countableChoice` is used in the implementation of `ωSup`.
The implementation of this type is [here](https://github.com/YellPika/mathlib4/blob/quot-choice-compute/Mathlib/Data/OmegaProp.lean).
**A type of semi-computable computations.** Finally, I define the type `ΩPart A` of semi-computable computations returning a value of type `A`. The definition of `ΩPart` is the same as `Part` with `ΩProp` swapped for `Prop`. Again, `ΩPart A` has a (computable) `OmegaCompletePartialOrder` instance. The implementation can be found [here](https://github.com/YellPika/mathlib4/blob/quot-choice-compute/Mathlib/Data/OmegaPart.lean).
This was mainly just a fun experiment and the code is not ready to be (or perhaps should not be) put in mathlib. I thought I should post it here to see if 1) there is any interest or 2) an implementation already exists that has escaped my notice. |
new-contributor
large-import
merge-conflict
|
1157/40 |
Mathlib/Data/OmegaPart.lean,Mathlib/Data/OmegaProp.lean,Mathlib/Data/Quot.lean,Mathlib/Order/OmegaCompletePartialOrder.lean,Mathlib/Order/ScottContinuity.lean |
5 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
134-53781 4 months ago |
unknown |
0-0 0 seconds |
| 34053 |
christian-oudard author:christian-oudard |
feat: Add error function (erf) and complementary error function (erfc) |
## Summary
I was doing some finance math and needed the Error Function, so I thought I'd contribute it.
### Main definitions
* `Real.erf`: The error function, defined as `(2/√π) ∫₀ˣ e^(-t²) dt`
* `Real.erfc`: The complementary error function, defined as `1 - erf x`
### Main results
* `Real.erf_zero`: `erf 0 = 0`
* `Real.erf_neg`: `erf` is an odd function: `erf (-x) = -erf x`
* `Real.erf_tendsto_one`: `erf x → 1` as `x → ∞`
* `Real.erf_tendsto_neg_one`: `erf x → -1` as `x → -∞`
* `Real.erf_le_one`: `erf x ≤ 1` for all `x`
* `Real.neg_one_le_erf`: `-1 ≤ erf x` for all `x`
* `Real.deriv_erf`: `deriv erf x = (2/√π) * exp(-x²)`
* `Real.differentiable_erf`: `erf` is differentiable
* `Real.continuous_erf`: `erf` is continuous
* `Real.strictMono_erf`: `erf` is strictly monotone
Also adds `erf` to `docs/overview.yaml` under Special Functions.
---
- [x] Builds successfully
- [x] `lake exe runLinter` passes
- [x] `lake exe mk_all --check` passes |
t-analysis
new-contributor
awaiting-author
|
333/0 |
Mathlib.lean,Mathlib/Analysis/SpecialFunctions/Erf.lean,docs/overview.yaml |
3 |
18 |
['SnirBroshi', 'christian-oudard', 'github-actions', 'j-loreaux', 'plp127'] |
j-loreaux assignee:j-loreaux |
134-26557 4 months ago |
134-63410 134 days ago |
14-69133 14 days |
| 33601 |
nielstron author:nielstron |
feat(Computability/ContextFreeGrammar): Concatenation of CFGs is CFG |
---
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- [ ] depends on: #33599
- [ ] depends on: #33592
[](https://gitpod.io/from-referrer/)
|
t-computability
new-contributor
blocked-by-other-PR
|
941/0 |
Mathlib/Computability/ContextFreeGrammar.lean |
1 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
134-4270 4 months ago |
163-74533 163 days ago |
0-412 6 minutes |
| 34726 |
GrigorenkoPV author:GrigorenkoPV |
feat(Analysis/SpecialFunctions/Trigonometric/Basic): sin and cos of multiples of π / 3 |
---
Merge of https://github.com/leanprover-community/mathlib4/pull/26349
<!-- Your PR title will become the first line of the commit message.
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[](https://gitpod.io/from-referrer/)
|
new-contributor |
159/0 |
Mathlib/Algebra/Order/Monoid/NatCast.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Basic.lean,Mathlib/Data/Nat/Cast/Defs.lean,MathlibTest/trigonometry.lean |
4 |
1 |
['github-actions'] |
nobody |
132-49695 4 months ago |
132-49695 132 days ago |
3-20994 3 days |
| 34394 |
Citronhat author:Citronhat |
feat(Algebra/Order/Ring): add constructors for linear ordered rings |
Add constructors for ordered rings from `mul_nonneg` / `mul_pos` that derive `ZeroLEOneClass` from a linear order. |
new-contributor
t-algebra
awaiting-author
label:t-algebra$ |
31/14 |
Mathlib/Algebra/Order/Ring/Defs.lean,Mathlib/RingTheory/HahnSeries/Lex.lean |
2 |
6 |
['Citronhat', 'Vierkantor', 'github-actions', 'leanprover-radar'] |
Vierkantor assignee:Vierkantor |
131-83032 4 months ago |
131-83032 131 days ago |
12-25418 12 days |
| 33493 |
michelsol author:michelsol |
feat(RingTheory/Polynomial): An explicit formula for the Chebyshev polynomials of the first kind |
Adds the following explicit formula on the Chebyshev polynomial of the first kind of order n.
${ T_{n}(x)\ =\ \sum \limits _{k=0}^{\lfloor {\frac {n}{2}}\rfloor } {\binom {n}{2k}} \left(\ X^{2}-1\ \right)^{k}\ X^{n-2k}}$
This explicit formula can be found [here](https://en.wikipedia.org/wiki/Chebyshev_polynomials#Explicit_expressions). There is a proof using complex numbers but it only works if the ring R = ℂ.
The proof here is by induction and works in a commutative ring R.
Mathlib seems to extend the definition of Chebyshev polynomials for $n \in \mathbb{Z}$ but this would make the formula more cumbersome with `n.natAbs` in place of `n`'s, so I expressed it on `n : ℕ` directly.
---
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[](https://gitpod.io/from-referrer/)
|
t-ring-theory
new-contributor
awaiting-author
|
51/1 |
Mathlib/RingTheory/Polynomial/Chebyshev.lean |
1 |
8 |
['YuvalFilmus', 'erdOne', 'github-actions', 'metakunt', 'michelsol'] |
chrisflav assignee:chrisflav |
130-32871 4 months ago |
130-32871 130 days ago |
35-16105 35 days |
| 34815 |
Deep0Thinking author:Deep0Thinking |
feat(Analysis/SpecialFunctions/ImproperIntegrals): Frullani integral |
- [x] depends on: #34966
---
Add a proof of **Frullani integral**.
Main theorems:
- `Frullani.integral_Ioi`
- `IntegrableOn.tendsto_integral_Ioi`
- `exists_integral_div_eq_mul_log`
Supporting lemmas:
- `Frullani.comp_mul_left_div`
- `Frullani.intervalIntegrable_div`
- `Frullani.exists_integral_div_eq_mul_log`
- `Ioi_diff_Ioc`
- `ContinuousOn.comp_mul_left_div`, `ContinuousOn.comp_mul_right_div`
- `ContinuousOn.comp_mul_left`, `ContinuousOn.comp_mul_right`
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
large-import
t-analysis
awaiting-author
blocked-by-other-PR
|
270/2 |
Mathlib/Analysis/SpecialFunctions/ImproperIntegrals.lean,Mathlib/MeasureTheory/Integral/IntervalIntegral/MeanValue.lean,Mathlib/Topology/Algebra/GroupWithZero.lean,Mathlib/Topology/Algebra/Monoid.lean |
6 |
17 |
['CoolRmal', 'Deep0Thinking', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'sgouezel'] |
urkud assignee:urkud |
130-16586 4 months ago |
53-53036 53 days ago |
11-36072 11 days |
| 26986 |
WangYiran01 author:WangYiran01 |
feat(Partition): add bijection for partitions with max part ≤ r |
This PR adds a new theorem `partition_max_equals_bound` to `Mathlib.Combinatorics.Enumerative.Partition`.
It constructs a bijection between:
- The set of partitions of `n` in which `r ∈ π.parts` and all parts are `≤ r`, and
- The set of partitions of `n - r` whose largest part is at most `r`.
This provides a constructive proof via removing/adding `r` from/to the partition multiset, in line with classical enumerative combinatorics.
Contributed by Yiran Wang.
|
awaiting-author
t-combinatorics
new-contributor
merge-conflict
|
92/0 |
Mathlib/Combinatorics/Enumerative/Partition/Basic.lean,Mathlib/Data/Multiset/Lattice.lean |
2 |
20 |
['WangYiran01', 'github-actions', 'jcommelin', 'kckennylau', 'kim-em', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot'] |
b-mehta assignee:b-mehta |
127-67745 4 months ago |
161-4213 161 days ago |
120-67067 120 days |
| 34722 |
GrigorenkoPV author:GrigorenkoPV |
feat(Data/Finset/RangeDistance): bound distance between elements of `Finset.range` |
---
Rebase of https://github.com/leanprover-community/mathlib4/pull/26347
<!-- Your PR title will become the first line of the commit message.
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[](https://gitpod.io/from-referrer/)
|
new-contributor
t-data
awaiting-author
|
34/0 |
Mathlib.lean,Mathlib/Algebra/Order/Group/Unbundled/Abs.lean,Mathlib/Data/Finset/RangeDistance.lean |
3 |
7 |
['GrigorenkoPV', 'Vierkantor', 'github-actions', 'joneugster', 'mathlib-splicebot', 'plp127'] |
pechersky assignee:pechersky |
127-34023 4 months ago |
83-57785 83 days ago |
52-18954 52 days |
| 33969 |
goliath-klein author:goliath-klein |
refactor(PiTensorProduct/{InjectiveNorm, ProjectiveNorm}): Currently, injectiveSeminorm = projectiveSeminorm |
**WIP / RFC!**
Arguably, `injectiveSeminorm` should be re-defined in Mathlib. See #34137 and [Zulip](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/injectiveSeminorm/with/568798261) for context.
In this file, we collect some results about the current definition and a possible alternative.
Contents:
* A theorem `injectiveSeminorm_eq_projectiveSeminorm` formalizing the equality of the current definitions. However, I think it is unlikely that keeping the alternative characterization would be worth the effort. The interesting direction `(L2') ≤ (L1)` follows from `norm_eval_le_projectiveSeminorm` which is still present. The converse direction is [somewhat tautological](https://github.com/leanprover-community/mathlib4/pull/34137). A proof of `(L2) = (L1)` (probably requiring Hahn-Banach) might be more interesting.
* A preliminary implementation of the injective seminorm as commonly understood.
* Sufficient conditions for the multiplicativity property `‖⨂ m i‖_∧ = ∏ ‖m i‖` to hold. This implements a TBD item.
---
Co-authored-by: Davood H. H. Tehrani
[](https://gitpod.io/from-referrer/)
|
WIP
t-analysis
new-contributor
large-import
merge-conflict
|
774/387 |
Mathlib.lean,Mathlib/Analysis/Normed/Module/Dual.lean,Mathlib/Analysis/Normed/Module/HahnBanach.lean,Mathlib/Analysis/Normed/Module/PiTensorProduct/InjectiveSeminorm.lean,Mathlib/Analysis/Normed/Module/PiTensorProduct/LeastReasonable.lean,Mathlib/Analysis/Normed/Module/PiTensorProduct/ProjectiveSeminorm.lean,Mathlib/Analysis/Normed/Operator/Basic.lean,Mathlib/LinearAlgebra/PiTensorProduct.lean |
8 |
3 |
['github-actions', 'goliath-klein', 'mathlib-merge-conflicts'] |
nobody |
126-51095 4 months ago |
154-66199 154 days ago |
0-23 23 seconds |
| 34725 |
GrigorenkoPV author:GrigorenkoPV |
feat(RingTheory/RootsOfUnity/LowDegree): quadratic, cubic, quartic, quintic roots of unity |
Closes https://github.com/leanprover-community/mathlib4/pull/25907
---
Merge of https://github.com/leanprover-community/mathlib4/pull/25907
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[](https://gitpod.io/from-referrer/)
|
new-contributor
t-ring-theory
awaiting-author
|
247/0 |
Mathlib.lean,Mathlib/Algebra/CharP/Invertible.lean,Mathlib/Algebra/QuadraticDiscriminant.lean,Mathlib/RingTheory/RootsOfUnity/LowDegree.lean |
4 |
22 |
['GrigorenkoPV', 'LLaurance', 'erdOne', 'github-actions', 'joneugster'] |
nobody |
125-44318 4 months ago |
130-33638 130 days ago |
5-38408 5 days |
| 33032 |
ksenono author:ksenono |
feat(Combinatorics/SimpleGraph): Konig’s theorem on bipartite graphs |
---
<!-- Your PR title will become the first line of the commit message.
Three additions:
* Combinatorics/SimpleGraph/Konig/Auxillary.lean
* Combinatorics/SimpleGraph/Konig/KonigFin.lean
* Combinatorics/SimpleGraph/Konig/Konig.lean
(all other changes are rebased from the PRs below)
- [ ] depends on: #30129
- [ ] depends on: #32552
- [ ] depends on: #32555
- [ ] depends on: #32570
-->
[](https://gitpod.io/from-referrer/)
|
t-combinatorics
new-contributor
blocked-by-other-PR
merge-conflict
|
832/251 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Bipartite.lean,Mathlib/Combinatorics/SimpleGraph/Clique.lean,Mathlib/Combinatorics/SimpleGraph/DegreeSum.lean,Mathlib/Combinatorics/SimpleGraph/Konig/Auxillary.lean,Mathlib/Combinatorics/SimpleGraph/Konig/Konig.lean,Mathlib/Combinatorics/SimpleGraph/Konig/KonigFin.lean,Mathlib/Combinatorics/SimpleGraph/Matching.lean,Mathlib/Combinatorics/SimpleGraph/Subgraph.lean,Mathlib/Combinatorics/SimpleGraph/VertexCover.lean,Mathlib/SetTheory/Cardinal/Arithmetic.lean,Mathlib/SetTheory/Cardinal/Basic.lean |
12 |
9 |
['SnirBroshi', 'github-actions', 'ksenono', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot', 'vlad902'] |
nobody |
125-28228 4 months ago |
182-10884 182 days ago |
0-136 2 minutes |
| 34159 |
wangying11123 author:wangying11123 |
feat(Geometry/Euclidean/Similarity): Add Triangle similarity on oangle |
Add theorems about triangles similarity on oangle |
t-euclidean-geometry
new-contributor
awaiting-author
|
154/1 |
Mathlib/Geometry/Euclidean/Similarity.lean |
1 |
8 |
['LLaurance', 'github-actions', 'jsm28', 'wangying11123'] |
jsm28 assignee:jsm28 |
124-78395 4 months ago |
125-39224 125 days ago |
7-49555 7 days |
| 33050 |
mkaratarakis author:mkaratarakis |
feat: lemmas for the analytic part of the proof of the Gelfond–Schneider theorem |
Lemmas missing for the formalisation of the proof of the Gelfond–Schneider theorem
---
<!-- Your PR title will become the first line of the commit message.
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-->
[](https://gitpod.io/from-referrer/)
|
t-number-theory
new-contributor
WIP
|
238/0 |
Mathlib.lean,Mathlib/Analysis/Analytic/Basic.lean,Mathlib/Analysis/Analytic/Order.lean,Mathlib/Analysis/Complex/CauchyIntegral.lean,Mathlib/NumberTheory/Transcendental/AnalyticPart.lean,Mathlib/NumberTheory/Transcendental/AnalyticPart2.lean |
6 |
113 |
['SnirBroshi', 'github-actions', 'j-loreaux', 'mkaratarakis', 'riccardobrasca', 'vihdzp'] |
riccardobrasca assignee:riccardobrasca |
123-60775 4 months ago |
133-80032 133 days ago |
6-26337 6 days |
| 34814 |
GrigorenkoPV author:GrigorenkoPV |
feat(Tactic/ClearUnneeded): add `clear_unneeded` tactic |
---
The simplest version suggested in https://github.com/leanprover-community/mathlib4/issues/25319
<!-- Your PR title will become the first line of the commit message.
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[](https://gitpod.io/from-referrer/)
|
t-meta
new-contributor
please-merge-master
awaiting-author
|
94/0 |
Mathlib.lean,Mathlib/Tactic.lean,Mathlib/Tactic/ClearUnneeded.lean,Mathlib/Tactic/Common.lean,MathlibTest/ClearUnneeded.lean,scripts/noshake.json |
6 |
12 |
['BoltonBailey', 'GrigorenkoPV', 'github-actions', 'joneugster'] |
joneugster assignee:joneugster |
123-47839 4 months ago |
131-71212 131 days ago |
2-23785 2 days |
| 34876 |
GrigorenkoPV author:GrigorenkoPV |
feat(Tactic/AssumptionQuestion): add `assumption?` tactic |
---
As requested in #10361
TODO: maybe add some tests?
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|
t-meta
new-contributor
awaiting-author
|
85/0 |
Mathlib.lean,Mathlib/Tactic.lean,Mathlib/Tactic/AssumptionQuestion.lean,Mathlib/Tactic/Common.lean,MathlibTest/AssumptionQuestion.lean,scripts/noshake.json |
6 |
5 |
['GrigorenkoPV', 'SnirBroshi', 'github-actions', 'joneugster'] |
joneugster assignee:joneugster |
123-46414 4 months ago |
131-69402 131 days ago |
0-83167 23 hours |
| 33217 |
Blackfeather007 author:Blackfeather007 |
feat(Algebra): define associated graded structure for abelian group |
In this PR we define the associated graded structure for abelian group when given a filtration and only give some basic lemmas about it.
---
migrated from https://github.com/leanprover-community/mathlib4/pull/26857
|
new-contributor
t-ring-theory
awaiting-author
|
144/0 |
Mathlib.lean,Mathlib/RingTheory/FilteredAlgebra/AssociatedGraded.lean |
2 |
13 |
['Blackfeather007', 'chrisflav', 'erdOne', 'eric-wieser', 'github-actions', 'urkud'] |
erdOne assignee:erdOne |
123-33995 4 months ago |
172-48391 172 days ago |
4-58698 4 days |
| 23791 |
SEU-Prime author:SEU-Prime |
Create AmiceTrans.lean |
---
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|
merge-conflict
WIP
t-number-theory
new-contributor
|
2963/0 |
Mathlib.lean,Mathlib/Analysis/Normed/Ring/Lemmas2.lean,Mathlib/NumberTheory/Padics/AmiceTrans.lean,Mathlib/NumberTheory/Padics/PSAC.lean,Mathlib/NumberTheory/Padics/PSAC2.lean,Mathlib/NumberTheory/Padics/PSAC3.lean,Mathlib/NumberTheory/Padics/PiGammainPS.lean,Mathlib/NumberTheory/Padics/PsiandVar.lean,Mathlib/RingTheory/AdicCompletion/Lemma.lean,Mathlib/RingTheory/PowerSeries/Comp.lean,Mathlib/Topology/ContinuousMap/ZeroAtBot.lean |
11 |
5 |
['SEU-Prime', 'github-actions', 'leanprover-community-bot-assistant', 'urkud'] |
nobody |
123-33059 4 months ago |
436-65725 436 days ago |
0-38 38 seconds |
| 33281 |
michelsol author:michelsol |
feat(Analysis/SpecialFunctions/Integrals): integral of 1/sqrt(1-x^2) and its integrability. |
Add the integral of the derivative of arcsin and its integrability.
---
- [ ] depends on: #33280
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|
new-contributor
merge-conflict
t-analysis
|
59/0 |
Mathlib/Analysis/SpecialFunctions/Integrability/Basic.lean,Mathlib/Analysis/SpecialFunctions/Integrals/Basic.lean,Mathlib/MeasureTheory/Integral/IntervalIntegral/FundThmCalculus.lean |
3 |
3 |
['github-actions', 'mathlib-dependent-issues', 'mathlib4-merge-conflict-bot'] |
nobody |
123-2682 4 months ago |
174-56907 174 days ago |
0-2872 47 minutes |
| 32918 |
michelsol author:michelsol |
feat: define `supEdist` and `supDist` |
Create a new file Topology.MetricSpace.SupDistance and define the supremal distance in (extended) metric spaces. The defined `supEdist` and `supDist` will have similar theory to the already existing `infEdist` and `infDist`. The motivation is to be able to define the radius of a minimal bounding sphere as the infimum of the supDist later.
[zulip discussion here](https://leanprover.zulipchat.com/#narrow/channel/116395-maths/topic/Formalizing.20Jung's.20theorem.20and.20minimal.20bounding.20spheres) |
t-topology
new-contributor
merge-conflict
|
75/0 |
Mathlib.lean,Mathlib/Topology/MetricSpace/SupDistance.lean |
2 |
5 |
['github-actions', 'mathlib4-merge-conflict-bot', 'michelsol', 'urkud'] |
nobody |
121-59181 4 months ago |
163-51566 163 days ago |
21-3598 21 days |
| 33712 |
wangying11123 author:wangying11123 |
feat(Geometry/Euclidean/Angle/Unoriented/Projection): Add sameray_orthogonalProjection_vsub_of_angle_lt |
Add sameray_orthogonalProjection_vsub_of_angle_lt
`sameray_orthogonalProjection_vsub_of_angle_lt`
When an angle is acute, the vector to the orthogonal projection lies in the same ray as the given direction vector. |
new-contributor
t-euclidean-geometry
awaiting-author
|
20/0 |
Mathlib/Geometry/Euclidean/Angle/Unoriented/Projection.lean |
1 |
4 |
['JovanGerb', 'github-actions', 'j-loreaux'] |
JovanGerb assignee:JovanGerb |
120-69012 4 months ago |
120-69112 120 days ago |
39-6778 39 days |
| 30667 |
FrederickPu author:FrederickPu |
feat(Mathlib/Algebra/Group/Subgroup/Pointwise): subgroup mul |
Title:
feat: pointwise products for subgroups
Description:
showed the point-wise product of disjoint subgroups is equivalent to their Cartesian product. Based on https://leanprover.zulipchat.com/#narrow/channel/113488-general/topic/useful.20group.20theory.20lemmas/with/546738566.
---
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|
t-algebra
new-contributor
label:t-algebra$ |
28/0 |
Mathlib/Algebra/Group/Subgroup/Pointwise.lean |
1 |
23 |
['FrederickPu', 'eric-wieser', 'github-actions', 'plp127', 'tb65536'] |
nobody |
120-67521 4 months ago |
120-72155 120 days ago |
1-21290 1 day |
| 33793 |
LTolDe author:LTolDe |
feat(MeasureTheory/Constructions/Polish/Basic): add lemma AnalyticSet.inter_nonempty_of_nowhereMeagre |
add lemma AnalyticSet.inter_nonempty_of_nowhereMeagre, the main ingredient for the proof of the **Effros' Theorem**, see [#mathlib4 > Effros Theorem](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Effros.20Theorem/with/566543328)
introduce definition of a nowhere meagre set
---
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|
t-measure-probability
new-contributor
awaiting-author
|
37/0 |
Mathlib/MeasureTheory/Constructions/Polish/Basic.lean,Mathlib/Order/Filter/Basic.lean,Mathlib/Topology/GDelta/Basic.lean |
3 |
8 |
['MichaelStollBayreuth', 'erdOne', 'github-actions', 'j-loreaux'] |
kex-y assignee:kex-y |
120-63278 4 months ago |
120-63484 120 days ago |
39-9555 39 days |
| 35313 |
LexinonCraft author:LexinonCraft |
feat: IMO 2025 Q4 |
This adds a solution for problem 4 from the International Math Olympiad 2025.
--- |
IMO
new-contributor
awaiting-author
|
631/0 |
Archive.lean,Archive/Imo/Imo2025Q4.lean |
2 |
4 |
['LexinonCraft', 'github-actions', 'jsm28'] |
jsm28 assignee:jsm28 |
120-33152 4 months ago |
120-33152 120 days ago |
3-30421 3 days |
| 33276 |
NicolaBernini author:NicolaBernini |
feat: Rename List.reverse_perm to List.reverse_perm_self and List.reverse_perm' to List.reverse_perm_iff |
---
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|
new-contributor
awaiting-author
t-data
merge-conflict
|
17/15 |
Mathlib/Algebra/BigOperators/Group/List/Basic.lean,Mathlib/Data/Finset/Dedup.lean,Mathlib/Data/List/Basic.lean,Mathlib/Data/List/Defs.lean,Mathlib/Data/List/Perm/Lattice.lean,Mathlib/Data/List/Permutation.lean,Mathlib/Data/Multiset/Defs.lean,Mathlib/NumberTheory/Divisors.lean |
8 |
5 |
['Ruben-VandeVelde', 'github-actions', 'mathlib-merge-conflicts'] |
kim-em assignee:kim-em |
120-16896 4 months ago |
170-81569 170 days ago |
4-4467 4 days |
| 34674 |
Citronhat author:Citronhat |
feat(Algebra/Order/Ring): replace ENNReal lemmas with WithTop versions |
* Add `WithTop` versions of basic multiplicative order lemmas.
* Use the new `WithTop` lemmas to replace `ENNReal` proofs and address six TODOs.
* Fix a typo in the `pos_of_ne_zero` alias name. |
new-contributor
t-algebra
merge-conflict
label:t-algebra$ |
46/15 |
Mathlib/Algebra/Order/Monoid/Canonical/Defs.lean,Mathlib/Algebra/Order/Ring/WithTop.lean,Mathlib/Data/ENNReal/Operations.lean |
3 |
5 |
['Citronhat', 'Ruben-VandeVelde', 'github-actions', 'mathlib-merge-conflicts'] |
Ruben-VandeVelde assignee:Ruben-VandeVelde |
119-83030 3 months ago |
119-83031 119 days ago |
17-1225 17 days |
| 28246 |
Sebi-Kumar author:Sebi-Kumar |
feat(AlgebraicTopology/FundamentalGroupoid): the n-sphere is simply connected for n > 1 |
Prove that the `n`-dimensional sphere (i.e., the unit sphere centered at the origin in `(n + 1)`-dimensional real Euclidean space) is a simply connected space for `n > 1`. This proof follows Hatcher's "Algebraic Topology"; we first prove a general lemma about decomposing loops and then exploit the fact that non-surjective loops in the sphere are homotopically trivial.
Note: To get this file to build, I edited `Mathlib/Tactic/Linter/DirectoryDependency.lean` to remove the restrictions on AlgebraicTopology files importing Geometry, NumberTheory, and FieldTheory files. Thank you to those who shared their expertise [here](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Warning.20that.20AlgebraicTopology.20can't.20import.20SetTheory/with/533833638). As I understand it, this is just a short-term solution, so I would appreciate feedback on what to do about this situation.
Note: I am unsure where exactly the file `SimplyConnectedSphere.lean` should go or whether that is an appropriate name for the file, so feedback there would be appreciated.
---
To provide additional context, this code was written as a part of the Fields Undergraduate Summer Research Program at the University of Western Ontario under the supervision of Chris Kapulkin and Daniel Carranza.
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|
t-algebraic-topology
new-contributor
awaiting-author
|
343/3 |
Mathlib.lean,Mathlib/AlgebraicTopology/FundamentalGroupoid/SimplyConnectedSphere.lean,Mathlib/Tactic/Linter/DirectoryDependency.lean |
3 |
17 |
['dagurtomas', 'github-actions', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot', 'robin-carlier'] |
robin-carlier assignee:robin-carlier |
117-80816 3 months ago |
117-80816 117 days ago |
13-72199 13 days |
| 33746 |
ster-oc author:ster-oc |
feat(Algebra/Module/ZLattice): align `ZSpan.floor` to `Int.floor` API |
This PR adds some of the existent lemmas about `Int.floor`, `Int.ceil` and `Int.fract` to the `ZSpan` namespace.
---
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t-algebra
new-contributor
merge-conflict
label:t-algebra$ |
353/145 |
Mathlib/Algebra/Module/ZLattice/Basic.lean,Mathlib/Algebra/Order/Floor/Ring.lean,Mathlib/Topology/Algebra/Order/Floor.lean |
3 |
8 |
['github-actions', 'joelriou', 'mathlib-merge-conflicts', 'ster-oc'] |
joelriou assignee:joelriou |
115-13528 3 months ago |
115-13528 115 days ago |
30-23357 30 days |
| 31766 |
SuccessMoses author:SuccessMoses |
feat(Topology/EMetricSpace): continuity of arc length |
fixes half of #31751
---
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- [ ] depends on: #xyz [optional extra text]
-->
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-topology
awaiting-author
merge-conflict
|
396/0 |
Mathlib.lean,Mathlib/Topology/EMetricSpace/ArcLength.lean,Mathlib/Topology/EMetricSpace/BoundedVariation.lean |
3 |
40 |
['SnirBroshi', 'SuccessMoses', 'alreadydone', 'github-actions', 'grunweg', 'j-loreaux', 'mathlib-merge-conflicts'] |
nobody |
114-45225 3 months ago |
190-46095 190 days ago |
2-77113 2 days |
| 34419 |
ster-oc author:ster-oc |
feat(RCLike): add `Continuous.re` and similar |
This PR adds dot notation for `re`, `im`, `conj` and `ofReal` for `Continuous`, `LipschitzWith` and `Memℓp`.
Given `hf : Continuous f` it allows to use `hf.re` to express `Continuous (fun x ↦ (f x).re)`, similarly to the usual `hf.add hg`.
I also can add the same features for `Summable` but I am not sure where to place them, suggestions are appreciated!
---
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|
t-analysis
new-contributor
awaiting-author
merge-conflict
|
186/41 |
Mathlib/Analysis/Normed/Group/Uniform.lean,Mathlib/Analysis/Normed/Lp/lpSpace.lean,Mathlib/Analysis/RCLike/Basic.lean |
3 |
15 |
['github-actions', 'j-loreaux', 'mathlib-merge-conflicts', 'ster-oc'] |
j-loreaux assignee:j-loreaux |
113-57323 3 months ago |
113-57323 113 days ago |
8-29654 8 days |
| 34853 |
GrigorenkoPV author:GrigorenkoPV |
feat(Combinatorics/Enumerative/Catalan): ratio of subsequent Catalan numbers |
---
Should I split this into 2 PRs? Otherwise it'll get squashed & be less concise.
UPD: ok, I've opened #34854
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[](https://gitpod.io/from-referrer/)
|
new-contributor
merge-conflict
|
305/195 |
Mathlib.lean,Mathlib/Combinatorics/Enumerative/Catalan.lean,Mathlib/Combinatorics/Enumerative/Catalan/Basic.lean,Mathlib/Combinatorics/Enumerative/Catalan/Ratio.lean,Mathlib/Combinatorics/Enumerative/Catalan/Tree.lean,Mathlib/Combinatorics/Enumerative/DyckWord.lean,Mathlib/RingTheory/PowerSeries/Catalan.lean |
7 |
6 |
['github-actions', 'mathlib-merge-conflicts', 'vihdzp'] |
nobody |
113-41184 3 months ago |
131-68869 131 days ago |
1-62439 1 day |
| 35755 |
Vilin97 author:Vilin97 |
feat(Analysis/ODE): forward Euler method convergence |
WIP
Prove the convergence of the Forward Euler Method. This is the first theorem in most textbooks on numerical analysis for ODEs.
---
The initial proof was produced by [Aristotle](https://aristotle.harmonic.fun). The code was then iteratively refined (factoring out lemmas, golfing, simplifying proofs) using Claude Code (Claude Opus 4.6).
* [ ] depends on: #35753 |
new-contributor
WIP
LLM-generated
merge-conflict
|
297/0 |
Mathlib.lean,Mathlib/Analysis/ODE/EulerMethod.lean,Mathlib/Topology/Algebra/Order/PiecewiseLinear.lean |
4 |
7 |
['Vilin97', 'eric-wieser', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
113-5631 3 months ago |
113-7842 113 days ago |
0-674 11 minutes |
| 20238 |
maemre author:maemre |
feat(Computability/DFA): Closure of regular languages under some set operations |
This shows that regular languages are closed under complement and intersection by constructing DFAs for them.
---
Closure under all other operations will be proved when someone adds the proof for DFA<->regular expression equivalence, so they are not part of this PR.
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[](https://gitpod.io/from-referrer/)
|
new-contributor
t-computability
merge-conflict
awaiting-author
awaiting-zulip
|
159/0 |
Mathlib/Computability/DFA.lean,Mathlib/Computability/Language.lean |
2 |
60 |
['EtienneC30', 'YaelDillies', 'github-actions', 'maemre', 'mathlib4-merge-conflict-bot', 'meithecatte', 'urkud'] |
nobody |
112-3566 3 months ago |
457-67905 457 days ago |
48-67492 48 days |
| 22361 |
rudynicolop author:rudynicolop |
feat(Computability/NFA): nfa closure properties |
Add the closure properties union, intersection and reversal for NFA.
---
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[](https://gitpod.io/from-referrer/)
|
new-contributor
t-computability
merge-conflict
awaiting-author
awaiting-zulip
|
218/2 |
Mathlib/Computability/Language.lean,Mathlib/Computability/NFA.lean |
2 |
91 |
['EtienneC30', 'b-mehta', 'ctchou', 'github-actions', 'leanprover-community-bot-assistant', 'meithecatte', 'rudynicolop'] |
nobody |
112-3550 3 months ago |
408-71844 408 days ago |
39-60525 39 days |
| 30872 |
rudynicolop author:rudynicolop |
feat(Computability/NFA): NFA closure under concatenation |
This PR proves that regular languages are closed under concatenation via a direct construction on `NFA`s without `εNFA` nor ε-transitions. The main new definitions and results include:
- `M1.concat M2`, the concatenation of `NFA`s `M1` and `M2`, a direct construction without ε-transitions.
- Theorem `accepts_concat : (M1.concat M2).accepts = M1.accepts * M2.accepts`, showing the correctness of the construction.
- Theorem `IsRegular.mul`, showing that regular languages are closed under concatenation.
---
- [x] depends on: #31038
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[](https://gitpod.io/from-referrer/)
|
t-computability
new-contributor
awaiting-author
|
104/7 |
Mathlib/Computability/NFA.lean |
1 |
67 |
['YaelDillies', 'ctchou', 'eric-wieser', 'github-actions', 'lambda-fairy', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot', 'rudynicolop'] |
nobody |
111-69821 3 months ago |
139-53230 139 days ago |
59-63565 59 days |
| 35746 |
ThomasMoulin-hub author:ThomasMoulin-hub |
feat (Algebra/Endomorphisms): add kernels lemma from the missing undergraduate mathematics in mathlib |
Add helper theorem inside Mathlib.Algebra.Polynomial.Smeval.lean and created a new file Mathlib/RingTheory/Polynomial/KernelDecomposition.lean that implements the kernels lemma from the missing undergraduate mathematics in mathlib list. This file also contains intermediate results needed for the main lemma. |
new-contributor |
75/0 |
Mathlib/Algebra/Polynomial/Smeval.lean,Mathlib/RingTheory/Polynomial/Basic.lean |
2 |
2 |
['github-actions'] |
nobody |
111-41390 3 months ago |
unknown |
0-0 0 seconds |
| 23929 |
meithecatte author:meithecatte |
feat(Computability/NFA): improve bound on pumping lemma |
---
<!-- The text above the `---` will become the commit message when your
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- [x] depends on: #25321
[](https://gitpod.io/from-referrer/)
|
t-computability
awaiting-zulip
new-contributor
awaiting-author
|
101/10 |
Mathlib/Computability/EpsilonNFA.lean,Mathlib/Computability/NFA.lean |
2 |
42 |
['YaelDillies', 'dagurtomas', 'github-actions', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot', 'meithecatte'] |
nobody |
111-23579 3 months ago |
375-52878 375 days ago |
34-10092 34 days |
| 35128 |
DAE123456 author:DAE123456 |
feat : Define anti_pascal |
---
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[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
awaiting-author
label:t-algebra$ |
81/0 |
Archive.lean,Archive/Imo/Imo2018Q3.lean |
2 |
5 |
['DAE123456', 'github-actions', 'grunweg', 'vihdzp'] |
nobody |
111-21105 3 months ago |
126-75669 126 days ago |
0-1613 26 minutes |
| 8102 |
miguelmarco author:miguelmarco |
feat(Tactic): add `unify_denoms` and `collect_signs` tactics |
This PR adds four new tactics:
- `unify_denoms` tries to put expressions with several divisions in a form with only one division. In the case of fields, it works similarly to `field_simp`, but if the hypothesis about denominators being nonzero are not present, it assumes them, and leaves them as new goals to prove. In that sense, it is an "unsafe" tactic (but can be useful nevertheless, for example when you can't find which exact hypothesis is missing). It also works with expressions of naturals and Euclidean domains, assuming the corresponding hypothesis about the denominators dividing the numerators.
- `unify_denoms!` extends `unify_denoms` to work with (in)equalities, assuming also that the denominators, once in normal form, are positive.
- `collect_signs` works similarly with expressions using sums and substractions: it tries to put them in a form of one sum minus other sum. In the case of working with naturals, it assumes that we never substract a bigger number from a smaller one.
Both are implemented essentially as a macro that combines several rewriting rules. Some new lemmas with the corresponding rules are added.
--- |
please-adopt
new-contributor
merge-conflict
modifies-tactic-syntax
good first issue
t-meta
|
407/0 |
Mathlib.lean,Mathlib/Algebra/EuclideanDomain/Basic.lean,Mathlib/Tactic.lean,Mathlib/Tactic/CollectSigns.lean,Mathlib/Tactic/UnifyDenoms.lean,MathlibTest/unify_denoms.lean,scripts/noshake.json |
7 |
55 |
['Paul-Lez', 'YaelDillies', 'github-actions', 'joneugster', 'kbuzzard', 'mathlib4-merge-conflict-bot', 'miguelmarco'] |
nobody |
110-74277 3 months ago |
399-56749 399 days ago |
17-14109 17 days |
| 35603 |
2500223210-max author:2500223210-max |
feat(GroupTheory/Frattini): add more theorems |
Add some contents about frattini subgroup into Mathlib GroupTheory Frattini.lean,including
* (convenient lemma)A subgroup contained in all maximal subgroup is contained in
the FRattini subgroup
* A subgroup (say H) has a proper complement (meaning for some proper subgroup K,
K and H generate the whole group)if and only if it is not contained
in the Frattini subgroup.
* A group is cyclic iff its Frattini factor(the quotient group wrt Frattini subgroup)
is cyclic.
* The Frattini factor of a finite p-group is elementary abelian(that is,an abelian
group G with Gᵖ={1})
* A finite p-group has trivial Frattini subgroup iff the group is elementary abelian.
* Burnside theorem of Frattini factor of finite p-group.
---
|
new-contributor
t-group-theory
large-import
awaiting-author
|
764/1 |
Mathlib/GroupTheory/Frattini.lean |
1 |
3 |
['github-actions', 'tb65536'] |
nobody |
110-71958 3 months ago |
110-71958 110 days ago |
5-73876 5 days |
| 33791 |
PhoenixIra author:PhoenixIra |
feat: Generalization of FixedPointApproximants to CompletePartialOrder |
---
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This PR provides a generalization of FixedPointApproximants to CompletePartialOrder. Not every theorem can be generalized, as sometimes we require additional conditions (namely `x ≤ f x`) in order to guarantee that the set is directed and thus the supremum is well-defined. This is not necessary in a CompleteLattice.
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-order
merge-conflict
|
223/100 |
Mathlib/Order/CompletePartialOrder.lean,Mathlib/SetTheory/Ordinal/FixedPointApproximants.lean |
2 |
21 |
['PhoenixIra', 'github-actions', 'mathlib-merge-conflicts', 'vihdzp'] |
PhoenixIra and vihdzp assignee:PhoenixIra assignee:vihdzp |
110-50262 3 months ago |
110-50262 110 days ago |
44-16098 44 days |
| 35857 |
AlexeyMilovanov author:AlexeyMilovanov |
feat(Logic.Equiv.BijectiveBase2): add bijective base-2 numeration |
This PR introduces a formalization of the bijective base-2 numeration system.
Unlike standard binary representation, bijective base-2 avoids the "leading zeros" problem, providing a strict mathematical bijection between natural numbers (`ℕ`) and lists of booleans (`List Bool`).
**Main additions:**
* `Equiv.BijectiveBase2.toBits`: Encodes `ℕ` to `List Bool`.
* `Equiv.BijectiveBase2.ofBits`: Decodes `List Bool` to `ℕ`.
* `equivBijectiveBase2`: The formal `ℕ ≃ List Bool` equivalence.
---
Zulip: [#PR reviews > PR #35857: Bijective Base-2 Numeration](https://leanprover.zulipchat.com/#narrow/channel/144837-PR-reviews/topic/PR.20.2335857.3A.20Bijective.20Base-2.20Numeration/with/576336540)
Zulip: [#batteries > Upstreaming Nat.Bits](https://leanprover.zulipchat.com/#narrow/channel/348111-batteries/topic/Upstreaming.20Nat.2EBits/with/580736051)
*(Note: This replaces my previously closed PR to avoid the terminology clash between "Dyadic" and dyadic rationals. The namespace and definitions have been updated accordingly).*
*(Note: Used AI to assist with standardizing proof structures).* |
t-logic
new-contributor
LLM-generated
blocked-by-batt-PR
|
95/0 |
Mathlib.lean,Mathlib/Logic/Equiv/ListNatBijective.lean |
2 |
6 |
['AlexeyMilovanov', 'SnirBroshi', 'github-actions', 'joneugster'] |
nobody |
110-46333 3 months ago |
82-82556 82 days ago |
27-59600 27 days |
| 26013 |
tsuki8 author:tsuki8 |
feat(Data/Finset/Card,Data/Set/Finite/Basic): TODO needs a better title |
add `card_bijOn` and `finset_subset_preimage_of_finite_image`
Add `card_bijOn`: proves that for a bijection between finsets, their cardinalities are equal
Add `finset_subset_preimage_of_finite_image`: constructs a finset subset preserving image cardinality
Co-authored-by: Junyu Guo <hagb@hagb.name>
---
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|
awaiting-author
t-data
new-contributor
|
15/0 |
Mathlib/Data/Finset/Card.lean,Mathlib/Data/Set/Finite/Basic.lean |
2 |
6 |
['Ruben-VandeVelde', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
108-25273 3 months ago |
352-5006 352 days ago |
13-85893 13 days |
| 35805 |
adrianmartir author:adrianmartir |
feat(NumberTheory/Divisors): Add `infinite_setOf_divisors_iff` |
This proves that the set of divisors `{ m | m | n }` of a natural number `n` is infinite if and only if `n` is zero. The first proof draft was by @Aristotle-Harmonic.
---
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|
t-number-theory
new-contributor
awaiting-author
|
10/0 |
Mathlib/NumberTheory/Divisors.lean |
1 |
6 |
['adrianmartir', 'alexjbest', 'github-actions', 'tb65536'] |
tb65536 assignee:tb65536 |
108-2599 3 months ago |
84-68339 84 days ago |
27-18698 27 days |
| 35442 |
dhyan-aranha author:dhyan-aranha |
feat: Affine line with doubled origin counter example |
---
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|
new-contributor
awaiting-author
t-algebraic-geometry
|
305/0 |
Counterexamples.lean,Counterexamples/AffineLineWithDoubledOrigin.lean,Mathlib/AlgebraicGeometry/Limits.lean,Mathlib/Topology/Category/TopCat/Limits/Pullbacks.lean |
4 |
21 |
['BryceT233', 'chrisflav', 'dhyan-aranha', 'github-actions'] |
nobody |
107-84603 3 months ago |
120-72608 120 days ago |
0-5488 1 hour |
| 29713 |
jessealama author:jessealama |
feat(Algebra/Homology): add Euler–Poincaré formula |
This PR builds on the generalized Euler characteristic framework from #31121 to prove the Euler-Poincaré formula for chain complexes.
PR #31121 defines the Euler characteristic for general homological complexes. This PR specializes those definitions to ℤ-indexed chain complexes and proves the main Euler-Poincaré theorem.
### Main result (in `EulerPoincare.lean`)
* `ChainComplex.eulerChar_eq_homologyEulerChar`: For ℤ-indexed bounded chain complexes of finite-dimensional modules over a division ring, the alternating sum of chain dimensions equals the alternating sum of homology dimensions.
### Supporting lemmas
The file also provides dimension lemmas generalized to arbitrary `HomologicalComplex (ModuleCat k) c` (not just ℤ-indexed chain complexes):
* `HomologicalComplex.dFrom_zero_range` / `dTo_zero_range`: zero range when the target/source object is zero
* `HomologicalComplex.dFrom_range_finrank_eq_d` / `dTo_range_finrank_eq_d`: range of `dFrom`/`dTo` has the same dimension as the underlying differential
* `HomologicalComplex.range_dTo_le_ker_dFrom`: range of `dTo` is contained in the kernel of `dFrom`
---
- [ ] depends on: #38483 (`Antiperiodic.sum_Ico_shift` and bilinear cancellation lemma)
Builds on: #31121
Related to: #29639, #29643, #29646 |
awaiting-author
t-algebra
new-contributor
blocked-by-other-PR
label:t-algebra$ |
428/0 |
Mathlib.lean,Mathlib/Algebra/BigOperators/Periodic.lean,Mathlib/Algebra/Homology/EulerPoincare.lean |
2 |
26 |
['github-actions', 'jessealama', 'joelriou', 'kim-em', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot'] |
nobody |
107-79927 3 months ago |
236-8699 236 days ago |
35-45800 35 days |
| 28286 |
bwangpj author:bwangpj |
feat(Geometry/Manifold/ContMDiff): basic lemmas for analytic (`C^ω`) functions |
Add basic lemmas relating `ContMDiff` in the `C^ω` case to being `Analytic` on charts.
This is upstreamed from [https://github.com/girving/ray](https://github.com/girving/ray).
Co-authored-by: Geoffrey Irving <irving@naml.us>
---
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|
awaiting-author
t-differential-geometry
new-contributor
|
36/0 |
Mathlib/Geometry/Manifold/ContMDiff/Defs.lean |
1 |
14 |
['bwangpj', 'girving', 'github-actions', 'grunweg', 'kbuzzard', 'mathlib-merge-conflicts', 'sgouezel'] |
sgouezel assignee:sgouezel |
107-10741 3 months ago |
282-7091 282 days ago |
27-52841 27 days |
| 34940 |
michaellee94 author:michaellee94 |
feat: the graph of a continuous function on a $C^n$ manifold is a $C^n$ manifold |
---
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[](https://gitpod.io/from-referrer/)
|
t-differential-geometry
new-contributor
awaiting-author
merge-conflict
|
536/0 |
Mathlib.lean,Mathlib/Geometry/Manifold/ChartedSpace.lean,Mathlib/Geometry/Manifold/Instances/Graph.lean,Mathlib/Geometry/Manifold/IsManifold/Basic.lean,Mathlib/Topology/Constructions/Graph.lean |
5 |
80 |
['botbaki-review', 'github-actions', 'grunweg', 'mathlib-merge-conflicts', 'michaellee94', 'ocfnash'] |
ocfnash assignee:ocfnash |
104-67401 3 months ago |
106-47596 106 days ago |
15-5284 15 days |
| 35193 |
Brian-Nugent author:Brian-Nugent |
feat(Topology/Closeds): implement category of closed sets in topological spaces |
I copied over the nice API for working with `TopologicalSpace.Opens` as a category over for `TopologicalSpace.Closeds`. The only thing that did not immediately transfer was `Topology.IsInducing.functorObj` so I omitted it.
Based on work of @kim-em
---
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|
t-topology
new-contributor
please-adopt
merge-conflict
awaiting-author
|
385/0 |
Mathlib.lean,Mathlib/Topology/Category/TopCat/Closeds.lean,Mathlib/Topology/Category/TopCat/Opens.lean |
2 |
24 |
['Brian-Nugent', 'dagurtomas', 'github-actions', 'mathlib-merge-conflicts'] |
dagurtomas assignee:dagurtomas |
104-66547 3 months ago |
89-66620 89 days ago |
17-64811 17 days |
| 35332 |
yisiox author:yisiox |
feat(Computability): regular expressions match a regular language |
This PR adds a proof that the language matched by a regular expression is a regular language.
This is achieved by the following constructions and proofs of their correctness
- A DFA `epsilon` which accepts the empty language
- A DFA `char (a : α)` which accepts the language containing only a single symbol
- An Epsilon-NFA `concat (M₁ : εNFA α σ₁) (M₂ : εNFA α σ₂)` which accepts the concatenation of the languages of two Epsilon-NFAs
- An Epsilon-NFA `kstar (M : εNFA α σ)` which accepts the Kleene star of a language of an Epsilon-NFA
The following theorems on closure are added
- `IsRegular.zero`
- `IsRegular.one`
- `IsRegular.top`
- `IsRegular.singleton`
- `IsRegular.mul`
- `IsRegular.kstar`
which demonstrates
- `IsRegular.matches`
---
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|
t-computability
new-contributor
|
475/0 |
Mathlib/Computability/DFA.lean,Mathlib/Computability/EpsilonNFA.lean |
2 |
2 |
['github-actions'] |
nobody |
104-56508 3 months ago |
unknown |
0-0 0 seconds |
| 14313 |
grhkm21 author:grhkm21 |
feat(RepresentationTheory/FdRep): FdRep is a full subcategory of Rep |
```
/-- Equivalence between `FDRep` and the full subcategory of finite dimensional `Rep`. -/
def equivFiniteDimensional :
FDRep k G ≌ FullSubcategory (fun V : Rep k G ↦ FiniteDimensional k V)
``` |
merge-conflict
t-algebra
t-category-theory
new-contributor
label:t-algebra$ |
47/8 |
Mathlib/RepresentationTheory/FDRep.lean |
1 |
21 |
['fpvandoorn', 'github-actions', 'grhkm21', 'joelriou', 'kim-em', 'mathlib-bors'] |
nobody |
103-79967 3 months ago |
696-45991 696 days ago |
4-83177 4 days |
| 33592 |
nielstron author:nielstron |
feat(Computability/ContextFreeGrammar): mapping between two types of nonterminal symbols |
This PR picks up https://github.com/leanprover-community/mathlib4/pull/15895 and resolves the failing lemma by redefining Good symbols.
---
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I checked that https://github.com/leanprover-community/mathlib4/pull/13514 builds correctly when based on this build. PR for that is #33599
This is my first contribution please let me know of any changes I should outline.
[](https://gitpod.io/from-referrer/)
|
awaiting-author
t-computability
new-contributor
|
160/0 |
Mathlib/Computability/ContextFreeGrammar.lean |
1 |
34 |
['YaelDillies', 'github-actions', 'madvorak', 'nielstron'] |
nobody |
103-68935 3 months ago |
153-11062 153 days ago |
10-68503 10 days |
| 35144 |
daniel-carranza author:daniel-carranza |
feat(CategoryTheory/Enriched): tensor product of enriched categories |
For a braided monoidal category `V`, defines the tensor product of `V`-categories `C` and `D`, and shows that the type of `V`-functors out of the tensor product `C \times D` is equivalent to the type of "enriched bifunctors" `EnrichedBifunctor V C D`.
---
This work originates from infinity-cosmos project, where it is used to formalize the notion of cotensors in an enriched category. There are some additional coherence lemmas in a braided monoidal category which have been added.
Currently, line 209 violates the style guideline that terminal simp calls should not be squeezed. When I tried to replace this with a single `simp`, I get an error message: `maximum recursion depth has been reached`. Any suggestions (either with this or anything else) are greatly appreciated - thank you!
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[](https://gitpod.io/from-referrer/)
|
new-contributor
t-category-theory
infinity-cosmos
awaiting-author
|
333/0 |
Mathlib.lean,Mathlib/CategoryTheory/Enriched/TensorProductCategory.lean,Mathlib/CategoryTheory/Monoidal/Braided/Basic.lean |
3 |
12 |
['daniel-carranza', 'emilyriehl', 'github-actions', 'joelriou', 'robin-carlier'] |
nobody |
103-64642 3 months ago |
126-53737 126 days ago |
0-145 2 minutes |
| 27226 |
xcloudyunx author:xcloudyunx |
feat(Combinatorics/SimpleGraph): Add Subgraph.inclusion_edge_apply_coe and inclusion_edgeSet_apply_coe |
This PR continues the work from #25248.
Original PR: https://github.com/leanprover-community/mathlib4/pull/25248 |
awaiting-author
t-combinatorics
new-contributor
merge-conflict
|
14/0 |
Mathlib/Combinatorics/SimpleGraph/Subgraph.lean |
1 |
4 |
['b-mehta', 'github-actions', 'mathlib-merge-conflicts', 'xcloudyunx'] |
b-mehta assignee:b-mehta |
103-56035 3 months ago |
310-36181 310 days ago |
25-83942 25 days |
| 33688 |
Citronhat author:Citronhat |
feat(PMF): add expectation lemmas for Poisson PMF |
This PR adds some basic results about the Poisson distribution, its `PMF`, and its expectation.
**New lemmas:**
* `poissonPMF_apply` — an unfolding lemma for `poissonPMF`.
* `poissonPMFReal_mul_eq_succ_mul` — the standard recursion identity for the Poisson mass function.
* `poissonPMFReal_hasSum_nmul` — shows that `fun n ↦ poissonPMFReal r n * n` has sum `r`.
* `poissonPMF_tsum_nmul` — the corresponding identity at the level of the `PMF`.
* `poissonPMF_coe_tsum_nmul` — the same result after coercion to `ℝ`.
Both `ℝ`-valued and `ℝ≥0∞`-valued formulations are included so that these results can be used conveniently in both Lebesgue and Bochner integration contexts. |
new-contributor
t-measure-probability
awaiting-author
merge-conflict
|
21/0 |
Mathlib/Probability/Distributions/Poisson.lean |
1 |
11 |
['Citronhat', 'DavidLedvinka', 'github-actions', 'mathlib-merge-conflicts', 'urkud'] |
urkud assignee:urkud |
103-38015 3 months ago |
114-52664 114 days ago |
47-76876 47 days |
| 34005 |
MSpill author:MSpill |
feat: inverse function theorem for manifolds (concrete version) |
Proves the inverse function theorem for manifolds: given manifolds $M, N$ and a $C^n$ map $f : M \to N$ whose differential is a linear isomorphism at $p \in M$, then $f$ is a local diffeomorphism at $p$, provided that both $p$ and its image are interior points. The proof proceeds in 4 main steps:
1. Define composition of partial diffeomorphisms
2. Show that the extended chart at an interior point can be restricted to an open set on which it is a partial diffeomorphism, viewing the model vector space as a manifold modelled on itself trivially
3. Use the inverse function theorem (applied to $f$ written in coordinates) to obtain a partial diffeomorphism between model vector spaces
4. Compose with chart diffeomorphisms to obtain a partial diffeomorphism between the manifolds.
------
[](https://gitpod.io/from-referrer/)
|
awaiting-author
t-differential-geometry
new-contributor
merge-conflict
|
232/3 |
Mathlib/Geometry/Manifold/LocalDiffeomorph.lean |
1 |
12 |
['MSpill', 'github-actions', 'grunweg', 'mathlib-merge-conflicts'] |
grunweg assignee:grunweg |
103-37770 3 months ago |
153-63283 153 days ago |
0-1082 18 minutes |
| 34830 |
parabamoghv author:parabamoghv |
feat(CategoryTheory/Monoidal): add definition of categorical groups |
This PR defines of categorical groups, also known as coherent 2-groups, in mathlib.
Motivation:
Categorical groups are well-studied structures in monoidal category theory, but are not currently available in mathlib. The definitions in this PR follow the existing design patterns used for Category, MonoidalCategory, and BraidedCategory.
This PR focuses on setting up the core structure and notation. Basic lemmas and further developments will be provided in a subsequent PR.
---
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[](https://gitpod.io/from-referrer/)
|
t-category-theory
new-contributor
WIP
merge-conflict
|
163/0 |
Mathlib.lean,Mathlib/CategoryTheory/Monoidal/CategoricalGroups/Basic.lean |
2 |
27 |
['dagurtomas', 'github-actions', 'mathlib-merge-conflicts', 'parabamoghv', 'robin-carlier'] |
robin-carlier assignee:robin-carlier |
103-26490 3 months ago |
118-8530 118 days ago |
5-13145 5 days |
| 36313 |
SproutSeeds author:SproutSeeds |
feat(Inversion): cobounded tendsto near center |
Part of #5939
Add `tendsto_inversion_nhdsNE_center_cobounded` in `Mathlib/Geometry/Euclidean/Inversion/Basic.lean`, proving `Tendsto (inversion c R) (𝓝[≠] c) (Bornology.cobounded P)` for `R ≠ 0`.
Tools used: Codex 5.3 extra high
---
Happy to adjust naming, placement, or proof style based on maintainer preference.
|
t-euclidean-geometry
new-contributor
LLM-generated
awaiting-author
|
42/0 |
Mathlib/Geometry/Euclidean/Inversion/Basic.lean |
1 |
11 |
['SproutSeeds', 'euprunin', 'github-actions', 'jsm28', 'kbuzzard', 'ocfnash'] |
jsm28 assignee:jsm28 |
103-1205 3 months ago |
85-84544 85 days ago |
6-36700 6 days |
| 36323 |
SproutSeeds author:SproutSeeds |
feat(Inversion): discontinuity and center/global fderiv formulas |
Part of #5939
Adds the discontinuity-at-center lemma for inversion and derives the center/global `fderiv` formulas from it.
This draft currently builds on the preceding cobounded-tendsto lemma from #36313 while that earlier slice is under review.
Scope is limited to `Mathlib/Geometry/Euclidean/Inversion/Calculus.lean`.
Tools used: Codex 5.3 extra high
---
Happy to adjust naming, placement, or proof style based on maintainer preference.
|
t-euclidean-geometry
new-contributor
LLM-generated
|
65/0 |
Mathlib/Geometry/Euclidean/Inversion/Basic.lean,Mathlib/Geometry/Euclidean/Inversion/Calculus.lean |
2 |
2 |
['github-actions'] |
nobody |
102-63816 3 months ago |
unknown |
0-0 0 seconds |
| 33668 |
Citronhat author:Citronhat |
feat(PMF): add lintegral formulas for PMF |
This PR introduces two lemmas describing the `lintegral` of a function with respect to the measure induced by a probability mass function:
- `PMF.lintegral_eq_tsum`
- `PMF.lintegral_eq_sum`
These are the `ℝ≥0∞` analogues of the existing Bochner `integral` formulas `integral_eq_tsum` and `integral_eq_sum`. They could be useful for reasoning about expectations and integrability.
In addition, the proof of `integral_eq_sum` is simplified by deriving it directly from `integral_eq_tsum` using `tsum_fintype`. |
t-measure-probability
new-contributor
awaiting-author
merge-conflict
|
14/5 |
Mathlib/Probability/ProbabilityMassFunction/Integrals.lean |
1 |
3 |
['DavidLedvinka', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
100-50945 3 months ago |
106-85688 106 days ago |
55-73479 55 days |
| 36387 |
FrankieeW author:FrankieeW |
feat(NumberTheory/QuadraticField): parameter uniqueness for quadratic fields |
## Summary
Prove that every quadratic field `ℚ(√d)` can be normalized to have a squarefree integer parameter, and that this parameter is unique.
## Main Results
- `Qsqrtd.rescale`: rescaling isomorphism `ℚ(√d) ≃ₐ[ℚ] ℚ(√(a²d))` for `a ≠ 0`
- `Qsqrtd_iso_int_param`: every `ℚ(√d)` is isomorphic to one with an integer parameter
- `Qsqrtd_iso_squarefree_int_param`: every `ℚ(√d)` is isomorphic to one with a squarefree integer parameter
- `Qsqrtd.param_unique`: if `ℚ(√d₁) ≃ₐ[ℚ] ℚ(√d₂)` with both `d₁, d₂` squarefree and `≠ 1`, then `d₁ = d₂`
## Helper Lemmas
- `squarefree_eq_of_rat_sq_mul`: if `d₁ = d₂ · r²` with both squarefree, then `d₁ = d₂`
- `int_dvd_of_ratio_square`: if `d₁/d₂` is a rational square and `d₂` is squarefree, then `d₂ ∣ d₁`
- `not_isSquare_neg_one_rat`: `-1` is not a square in `ℚ`
---
- [ ] depends on: #36347 |
WIP
t-number-theory
blocked-by-other-PR
new-contributor
large-import
LLM-generated
|
400/0 |
Mathlib.lean,Mathlib/Algebra/QuadraticAlgebra/Defs.lean,Mathlib/Algebra/Squarefree/Basic.lean,Mathlib/NumberTheory/QuadraticField/Basic.lean |
4 |
4 |
['FrankieeW', 'github-actions', 'mathlib-dependent-issues'] |
nobody |
100-27552 3 months ago |
101-21822 101 days ago |
0-2 2 seconds |
| 35058 |
GrigorenkoPV author:GrigorenkoPV |
chore: move tendsto_{floor,ceil}_at{Top,Bot} |
Moves:
- Topology.Algebra.Order.Floor.tendsto_floor_atTop -> Order.Filter.AtTopBot.Floor.tendsto_floor_atTop
- Topology.Algebra.Order.Floor.tendsto_floor_atBot -> Order.Filter.AtTopBot.Floor.tendsto_floor_atBot
- Topology.Algebra.Order.Floor.tendsto_ceil_atTop -> Order.Filter.AtTopBot.Floor.tendsto_ceil_atTop
- Topology.Algebra.Order.Floor.tendsto_ceil_atBot -> Order.Filter.AtTopBot.Floor.tendsto_ceil_atBot
---
Tracked in #7987
<!-- Your PR title will become the first line of the commit message.
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|
new-contributor
large-import
awaiting-author
|
22/25 |
Mathlib/Order/Filter/AtTopBot/Floor.lean,Mathlib/Topology/Algebra/Order/Floor.lean |
2 |
3 |
['GrigorenkoPV', 'github-actions', 'j-loreaux'] |
nobody |
99-42773 3 months ago |
99-42773 99 days ago |
27-45743 27 days |
| 31670 |
edwin1729 author:edwin1729 |
feat(Topology/Order): Scott Topology is Sober over Algebraic DCPO |
---
[Zulip discussion](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/.3E.20Algebraic.20complete.20partial.20order.20and.20domain.20theory/with/536359313) here
(2/2) PR to prove result in Stone Duality. Here we prove that Scott Topologies over Algebraic DCPOs are sober.
- [ ] depends on: #31662
<!-- The text above the `---` will become the commit message when your
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[](https://gitpod.io/from-referrer/)
|
t-topology
blocked-by-other-PR
new-contributor
merge-conflict
|
510/1 |
Mathlib.lean,Mathlib/Topology/Order/ScottTopology.lean,Mathlib/Topology/Order/ScottTopologyDCPO.lean,docs/references.bib |
4 |
5 |
['github-actions', 'mathlib-merge-conflicts', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
nobody |
99-40655 3 months ago |
unknown |
0-0 0 seconds |
| 36463 |
AlexeyMilovanov author:AlexeyMilovanov |
feat(Data.Nat.Bits): add Nat.ofBits and prove bits_injective |
This PR introduces `Nat.ofBitsList` for `List Bool` and provides the missing proofs that the standard binary representation `Nat.bits` is injective (`Nat.bits_injective`) and possesses a right inverse for normalized lists (`Nat.bits_ofBitsList`).
`ofBitsList` is implemented as an `abbrev` using `foldr` (keeping it transparent to tactics like `simp`). It serves as the exact left inverse to `bits`. Furthermore, `bits_ofBitsList` establishes that `bits` and `ofBitsList` form a bijection between `ℕ` and the set of lists with no trailing `false` values.
This avoids the name collision with `Nat.ofBits` from `Batteries` and aligns with previous Zulip discussions (see [here](https://leanprover.zulipchat.com/#narrow/channel/144837-PR-reviews/topic/PR.20.2335857.3A.20Bijective.20Base-2.20Numeration)) regarding the utility of having a complete list-based API for `Nat.bits` in the library.
CC: @linesthatinterlace
- Adds `Nat.ofBitsList` (as an `abbrev`)
- Adds `Nat.ofBitsList_bits` (left inverse property)
- Adds `Nat.bits_injective`
- Adds `Nat.ofBitsList_eq_zero_iff` (helper lemma for lists without trailing zeros)
- Adds `Nat.bits_ofBitsList` (right inverse property)
---
Zulip: [#PR reviews > PR #35857: Bijective Base-2 Numeration](https://leanprover.zulipchat.com/#narrow/channel/144837-PR-reviews/topic/PR.20.2335857.3A.20Bijective.20Base-2.20Numeration/with/576336540)
Zulip: [#batteries > Upstreaming Nat.Bits](https://leanprover.zulipchat.com/#narrow/channel/348111-batteries/topic/Upstreaming.20Nat.2EBits/with/580736051) |
t-data
new-contributor
awaiting-author
blocked-by-batt-PR
|
68/1 |
Mathlib/Data/Nat/Bits.lean |
1 |
5 |
['github-actions', 'joneugster', 'linesthatinterlace'] |
nobody |
99-25891 3 months ago |
89-64211 89 days ago |
9-58085 9 days |
| 35684 |
spitters author:spitters |
feat(CategoryTheory/MarkovCategory): Kleisli PMF is a Markov category |
Add `Mathlib/CategoryTheory/MarkovCategory/KleisliPMF.lean` showing that `KleisliCat PMF` is a `MarkovCategory`.
Uses `Prod` as tensor and `PUnit` as unit; reuses Mathlib's existing `KleisliCat`, `LawfulMonad PMF`, and `MarkovCategory` infrastructure.
Builds the full instance stack:
MonoidalCategory → BraidedCategory → SymmetricCategory →
CopyDiscardCategory → MarkovCategory
---
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|
t-category-theory
new-contributor
awaiting-author
merge-conflict
|
323/1 |
Mathlib.lean,Mathlib/CategoryTheory/MarkovCategory/KleisliPMF.lean,Mathlib/Tactic/Linter/DirectoryDependency.lean |
3 |
6 |
['dagurtomas', 'github-actions', 'mathlib-merge-conflicts', 'spitters'] |
nobody |
99-15771 3 months ago |
111-48016 111 days ago |
2-36419 2 days |
| 35738 |
GrigorenkoPV author:GrigorenkoPV |
perf: remove some `aesop`s and `grind`s |
---
Needs benchmarking. After that I can split it into several smaller portions, if needed.
<!-- Your PR title will become the first line of the commit message.
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[](https://gitpod.io/from-referrer/)
|
new-contributor
awaiting-author
merge-conflict
|
236/92 |
Mathlib/Data/Finset/Card.lean,Mathlib/Data/Rel.lean,Mathlib/Data/Set/Lattice/Image.lean,Mathlib/Data/Set/Prod.lean,Mathlib/Logic/Equiv/Prod.lean,Mathlib/Order/Interval/Finset/Basic.lean,Mathlib/Order/KrullDimension.lean,Mathlib/Order/SupIndep.lean |
8 |
7 |
['github-actions', 'mathlib-merge-conflicts', 'themathqueen', 'vihdzp'] |
nobody |
99-15770 3 months ago |
112-83850 112 days ago |
0-45583 12 hours |
| 36503 |
Mrigna01 author:Mrigna01 |
Add false theorem test file |
---
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|
new-contributor |
135/0 |
Mathlib/FalseBench/FalseTheorems.lean |
1 |
3 |
['github-actions'] |
nobody |
98-39053 3 months ago |
98-39143 98 days ago |
98-38583 98 days |
| 14603 |
awueth author:awueth |
feat: degree is invariant under graph isomorphism |
---
<!-- The text above the `---` will become the commit message when your
PR is merged. Please leave a blank newline before the `---`, otherwise
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Mathlib has the definition `SimpleGraph.Iso.mapNeighborSet` which is an equivalence between neighbor sets induced by an isomorphism. Would it be beneficial to add the same equivalence for `neighborFinset`?
[](https://gitpod.io/from-referrer/)
|
WIP
t-combinatorics
new-contributor
|
24/0 |
Mathlib/Combinatorics/SimpleGraph/Map/Finite.lean |
1 |
12 |
['SnirBroshi', 'awueth', 'github-actions', 'jcommelin', 'kim-em', 'urkud'] |
nobody |
98-20451 3 months ago |
674-67290 674 days ago |
31-44440 31 days |
| 33599 |
nielstron author:nielstron |
feat(Computability/ContextFreeGrammar): closure under union |
---
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This PR picks up https://github.com/leanprover-community/mathlib4/pull/13514 and resolves the outstanding errors.
- [ ] depends on: #33592
[](https://gitpod.io/from-referrer/)
|
blocked-by-other-PR
t-computability
new-contributor
|
498/0 |
Mathlib/Computability/ContextFreeGrammar.lean |
1 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
98-3888 3 months ago |
153-12747 153 days ago |
10-65787 10 days |
| 9605 |
davikrehalt author:davikrehalt |
feat(Data/Finset & List): Add Lemmas for Sorting and Filtering |
This PR includes several useful lemmas to the Data/Finset and Data/List modules in Lean's mathlib:
1. `toFinset_filter` (List): Shows that filtering commutes with toFinset.
2. `toFinset_is_singleton_implies_replicate` (List): Shows a list with a singleton toFinset is a List.replicate.
3. `filter_sort_commute` (Finset): Sorting and filtering can be interchanged in Finsets.
4. `Sorted.filter` (List): A sorted list stays sorted after filtering.
5. `Sorted.append_largest` (List): Appending the largest element keeps a list sorted.
6. `sort_monotone_map` (Finset): Relates sorting of a Finset after mapping to sorting of a list.
7. `sort_insert_largest` (Finset): Sorting a Finset with an inserted largest element.
8. `sort_range` (Finset): Sorting a range in a Finset equals the corresponding range list.
9. ~~`filter_eval_true` (List): Filtering a list with a predicate always true keeps the list unchanged.~~
10. ~~`filter_eval_false` (List): Filtering with an always-false predicate gives an empty list.~~
11. ~~`pairwise_concat` (List): Iff condition for Pairwise relation in concatenated lists (similar to pairwise_join).~~
12. `list_map_toFinset` (Finset): toFinset commutes with map under injection
---
- [x] depends on: #15952
This is my first PR to mathlib, so I'm not too familiar with etiquette's and more specifically there are two proofs in the PR which uses aesop, and I am not sure if it's frowned upon. I kept the aesop in there for now as I couldn't construct very short proofs otherwise. The sort_range function proof was suggested in https://leanprover.zulipchat.com/#narrow/stream/113489-new-members/topic/Computing.20Finset.20sort.20of.20Finset.20range/near/410346731 by Ruben Van de Velde. Thanks for your time for improving this PR. |
please-adopt
t-data
new-contributor
merge-conflict
awaiting-author
|
71/0 |
Mathlib/Data/Finset/Basic.lean,Mathlib/Data/Finset/Image.lean,Mathlib/Data/Finset/Sort.lean,Mathlib/Data/List/Sort.lean |
4 |
30 |
['YaelDillies', 'davikrehalt', 'eric-wieser', 'github-actions', 'jcommelin', 'urkud', 'vihdzp'] |
nobody |
98-3344 3 months ago |
877-61232 877 days ago |
12-48883 12 days |
| 36587 |
yhx-12243 author:yhx-12243 |
feat(Algebra/GCDMonoid): Distributive lattice structure for Associates in GCDMonoid |
Add a distributive lattice structure for `Associates α` in `GCDMonoid`.
---
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[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
label:t-algebra$ |
60/3 |
Mathlib.lean,Mathlib/Algebra/GCDMonoid/Basic.lean,Mathlib/Algebra/GCDMonoid/DistribLattice.lean |
2 |
2 |
['github-actions'] |
nobody |
97-12165 3 months ago |
93-69140 93 days ago |
3-29502 3 days |
| 35662 |
FrankieeW author:FrankieeW |
feat(NumberTheory/Zsqrtd): add Archimedean instance via le_arch |
This PR follows a suggestion made in #35606 , #35481
- add `Zsqrtd.le_arch_smul` in `Mathlib/NumberTheory/Zsqrtd/Basic.lean`
- use it to provide `instance : Archimedean (ℤ√d)` in the `Nonsquare` section
- refactor the proof using symmetry to reduce duplication while keeping checks clean
---
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[](https://gitpod.io/from-referrer/)
|
t-number-theory
new-contributor
awaiting-author
merge-conflict
LLM-generated
|
46/4 |
Mathlib/NumberTheory/PellMatiyasevic.lean,Mathlib/NumberTheory/Zsqrtd/Basic.lean |
2 |
13 |
['FrankieeW', 'MichaelStollBayreuth', 'euprunin', 'github-actions', 'mathlib-merge-conflicts', 'tb65536'] |
MichaelStollBayreuth assignee:MichaelStollBayreuth |
97-11901 3 months ago |
99-76417 99 days ago |
15-50475 15 days |
| 36119 |
Ruizsolveall author:Ruizsolveall |
feat(Topology/Covering): fundamental group of the circle is ℤ |
- Proves that the fundamental group of the circle `π₁(S¹, 0)` is isomorphic to `ℤ`, via covering space theory.
- Constructs the winding number map `nLoop : ℤ → Path 0 0` on `AddCircle 1`, and proves it is surjective (`nLoop_surjective`), injective (`nLoop_homotopic_iff`), and additive (`nLoop_add`).
- Assembles these into the group isomorphism `windingNumberIso : Multiplicative ℤ ≃* FundamentalGroup (AddCircle 1) 0`.
## Approach
Uses the covering map `ℝ → AddCircle 1` and unique path lifting to establish the bijection between homotopy classes of loops and integers (winding numbers). Homotopy invariance of lifted endpoints gives injectivity; surjectivity follows from lifting arbitrary loops. Additivity uses path concatenation of lifts in the simply connected total space `ℝ`.
## AI disclosure
I used Claude (Anthropic) to write the PR description, code comments, and to help refine code style. The proof strategy and all Lean code are my own. I understand and can vouch for all the code in this PR. |
t-topology
new-contributor
awaiting-author
LLM-generated
|
236/0 |
Mathlib.lean,Mathlib/Topology/Covering/FundamentalGroupCircle.lean |
2 |
26 |
['Ruizsolveall', 'SnirBroshi', 'b-mehta', 'dagurtomas', 'github-actions', 'grunweg', 'vihdzp'] |
nobody |
96-60528 3 months ago |
97-53060 97 days ago |
8-31258 8 days |
| 36347 |
FrankieeW author:FrankieeW |
feat(NumberTheory/QuadraticField): define quadratic number fields as QuadraticAlgebra ℚ d 0 |
Define `Qsqrtd d` as `QuadraticAlgebra ℚ d 0`, representing the quadratic number field `ℚ(√d)`. Prove trace and norm results, show `Qsqrtd d` is a number field and a quadratic extension when `d` is not a perfect square, and prove that `ℚ(√0)` and `ℚ(√1)` are not fields. Include `IsQuadraticField` as a predicate for quadratic extensions of `ℚ`, and bridge lemmas connecting squarefree integer parameters to the non-square condition.
This PR is part of a series upstreaming the [QuadraticNumberFields](https://github.com/FrankieeW/QuadraticNumberFields) project.
[Zulip discussion](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/quadratic.20number.20fields)
---
### PRs
- #36347 （this PR）
- #36387
---
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t-number-theory
new-contributor
large-import
awaiting-author
LLM-generated
|
191/0 |
Mathlib.lean,Mathlib/Algebra/QuadraticAlgebra/Defs.lean,Mathlib/Algebra/Squarefree/Basic.lean,Mathlib/NumberTheory/QuadraticField/Basic.lean |
4 |
29 |
['FrankieeW', 'eric-wieser', 'github-actions', 'riccardobrasca', 'tb65536', 'wwylele'] |
tb65536 assignee:tb65536 |
96-34195 3 months ago |
93-70590 93 days ago |
7-9258 7 days |
| 22314 |
shetzl author:shetzl |
feat: add leftmost derivations for context-free grammars |
Leftmost derivations are often easier to reason about than arbitrary derivations. This PR adds leftmost variants of Rewrites, Produces and Derives to the existing definition of context-free grammars and proves that a string of terminals can be derived iff it can be leftmost derived.
Co-authored-by: Tobias Leichtfried <tobias.leichtfried@tuwien.ac.at>
---
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PR is merged. Please leave a blank newline before the `---`, otherwise
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-computability
awaiting-author
new-contributor
|
383/0 |
Mathlib.lean,Mathlib/Computability/LeftmostDerivation.lean |
2 |
55 |
['YaelDillies', 'github-actions', 'madvorak', 'mathlib4-merge-conflict-bot', 'shetzl'] |
nobody |
95-64694 3 months ago |
405-1590 405 days ago |
72-2714 72 days |
| 31610 |
rudynicolop author:rudynicolop |
feat(Computability/NFA): Kleene star closure for Regular Languages via NFA |
This PR constructs a Kleene star closure for non-epsilon NFAs, and proves that regular languages are closed under Kleene star. The NFA construction is `NFA.kstar`. The main theorems are:
- `NFA.accepts_kstar`: demonstrates that `M.kstar` accepts the Kleene star closure of the language of `M`.
- `IsRegular.kstar`: demonstrates that regular languages are closed under Kleene star.
There is an onging zulip discussion about regular languages in Mathlib: https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Regular.20languages.3A.20the.20review.20queue/with/553759136
This discussion is also tracked at #24205.
Furthermore, the construction and proofs in this PR are heavily inspired by @TpmKranz from his #15651. #15651 supersedes this PR, so if it is accepted then this PR is not needed.
---
- [x] depends on: #31038
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[](https://gitpod.io/from-referrer/)
|
t-computability
new-contributor
awaiting-author
awaiting-CI
|
405/7 |
Mathlib/Computability/NFA.lean |
1 |
16 |
['YaelDillies', 'ctchou', 'github-actions', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
nobody |
95-64593 3 months ago |
154-56975 154 days ago |
43-77831 43 days |
| 36757 |
alok author:alok |
feat(Order/Filter): add Filter.IsFree and Filter.IsNonprincipal |
## Summary
Adds two filter predicates and their basic API:
- **`Filter.IsFree`**: no point belongs to every set (`f.ker = ∅`), equivalently `f ≤ cofinite`
- **`Filter.IsNonprincipal`**: not equal to `𝓟 s` for any set `s`
Every free `NeBot` filter is non-principal (`IsFree.isNonprincipal`), but the converse fails for general filters (e.g. `𝓝 x` in a non-discrete T₁ space is non-principal but not free). For ultrafilters the two notions coincide (`Ultrafilter.isNonprincipal_iff_isFree`).
On finite types, no `NeBot` filter is free (`not_isFree_of_neBot`).
## Test plan
- [x] `lake build Mathlib.Order.Filter.Cofinite` passes
- [x] `lake build Mathlib.Order.Filter.Ultrafilter.Basic` passes
🤖 Generated with [Claude Code](https://claude.com/claude-code) |
t-order
new-contributor
|
98/1 |
Mathlib/Order/Filter/Cofinite.lean,Mathlib/Order/Filter/Ultrafilter/Basic.lean |
2 |
2 |
['github-actions'] |
nobody |
93-24864 3 months ago |
93-23464 93 days ago |
0-3928 1 hour |
| 36825 |
danlyng author:danlyng |
feat(MeasureTheory/Integral/IntegralEqImproper): add Iic variants of nonneg/nonpos derivative integrability and FTC-2 |
Add the `Iic` counterparts of the existing `Ioi` results for automatic integrability of derivatives on semi-infinite intervals and the corresponding corollaries computing the integral value. Additionally, apply minor fixes to existing docstrings.
New declarations:
- `integrableOn_Iic_deriv_of_nonneg` / `integrableOn_Iic_deriv_of_nonneg'`
- `integrableOn_Iic_deriv_of_nonpos` / `integrableOn_Iic_deriv_of_nonpos'`
- `integral_Iic_of_hasDerivAt_of_nonneg` / `integral_Iic_of_hasDerivAt_of_nonneg'`
- `integral_Iic_of_hasDerivAt_of_nonpos` / `integral_Iic_of_hasDerivAt_of_nonpos'`
These mirror `integrableOn_Ioi_deriv_of_nonneg`, `integrableOn_Ioi_deriv_of_nonpos`, `integral_Ioi_of_hasDerivAt_of_nonneg`, `integral_Ioi_of_hasDerivAt_of_nonpos` and their primed variants. |
t-measure-probability
new-contributor
awaiting-author
|
107/9 |
Mathlib/MeasureTheory/Integral/IntegralEqImproper.lean |
1 |
7 |
['EtienneC30', 'github-actions'] |
EtienneC30 assignee:EtienneC30 |
88-74994 2 months ago |
88-74994 88 days ago |
2-67942 2 days |
| 37101 |
fsefzig author:fsefzig |
feat: definition of kummer polynomials and prove that AdjoinRoot (KummerPolynomial n s) is etale |
This defines the Kummer polynomial ` KummerPolynomial n s := X^n - s` over a ring R and constructs the following instances for `AdjoinRoot (KummerPolynomial n s)`:
· Faithfullyflat
· SmoothOfRelativeDimension 0
· Etale |
t-ring-theory
new-contributor
awaiting-author
|
345/0 |
Mathlib.lean,Mathlib/RingTheory/AdjoinRootKummer.lean |
2 |
24 |
['acmepjz', 'chrisflav', 'fsefzig', 'github-actions', 'vihdzp'] |
nobody |
77-59453 2 months ago |
unknown |
0-0 0 seconds |
| 37585 |
cascone26 author:cascone26 |
feat: formal statements of Robin's and Lagarias' inequalities equivalent to RH |
## Summary
This PR adds `Mathlib/NumberTheory/LSeries/RobinInequality.lean`, which contains formal Lean 4 statements of two classical equivalences of the Riemann Hypothesis:
**Robin's theorem (1984):** RH ↔ σ₁(n) < e^γ · n · ln(ln(n)) for all n > 5040
**Lagarias' theorem (2002):** RH ↔ σ₁(n) ≤ H_n + exp(H_n) · ln(H_n) for all n ≥ 1
### New declarations
- `robinBound (n : ℕ) : ℝ` — the Robin bound e^γ · n · ln(ln(n))
- `lagariasBound (n : ℕ) : ℝ` — the Lagarias bound H_n + exp(H_n) · ln(H_n)
- `robin_iff_RH : RiemannHypothesis ↔ ∀ n > 5040, σ₁(n) < robinBound n`
- `lagarias_iff_RH : RiemannHypothesis ↔ ∀ n ≥ 1, σ₁(n) ≤ lagariasBound n`
### Status
The **statements** are complete and use existing Mathlib primitives:
- `ArithmeticFunction.sigma` for σ₁
- `Real.eulerMascheroniConstant` for γ
- `harmonic` for H_n (with ℚ → ℝ coercion)
- `RiemannHypothesis` from `Mathlib.NumberTheory.LSeries.RiemannZeta`
The **proofs** are currently `sorry`. The Robin direction (RH → inequality) requires analytic number theory following Robin's original 1984 paper. The converse uses Gronwall's theorem on superior highly composite numbers. Both are substantial Mathlib projects in their own right.
This PR establishes the formal statements as a foundation for future proof work. These equivalences are not currently formalized anywhere in Mathlib.
### References
- G. Robin, *Grandes valeurs de la fonction somme des diviseurs et hypothèse de Riemann*, J. Math. Pures Appl. **63** (1984), 187–213.
- J. Lagarias, *An elementary problem equivalent to the Riemann hypothesis*, Amer. Math. Monthly **109** (2002), 534–543.
### Note on `sorry`
I'm aware Mathlib does not merge `sorry`-laden PRs in general. I'm submitting this as a draft to:
1. Get feedback on whether the statement formulation is idiomatic
2. Establish that these statements don't already exist in Mathlib under a different name
3. Invite collaboration on completing the proofs |
t-number-theory
new-contributor
|
98/0 |
Mathlib/NumberTheory/LSeries/RobinInequality.lean |
1 |
2 |
['github-actions'] |
nobody |
76-18218 2 months ago |
unknown |
0-0 0 seconds |
| 36937 |
Yaohua-Leo author:Yaohua-Leo |
feat(Algebra/Jordan): add first linearization lemmas for IsCommJordan |
[](https://gitpod.io/from-referrer/)
AI assistance disclosure: I used AI assistance for CI/debugging and module-structure fixes in this PR. The mathematical content and main lemmas were written by me, with help from @pelicanhere.
This PR adds a new file `Mathlib/Algebra/Jordan/Linearization.lean` containing linearization lemmas for the commutative Jordan identity.
Main declarations:
* `IsCommJordan.four_nsmul_associator_mul_add`
* `IsCommJordan.associator_mul_add`
These lemmas formalize a first linearization of the commutative Jordan identity using `associator`, following McCrimmon, Proposition 1.8.5.
---
I put these lemmas in a separate file because I expect follow-up linearization lemmas to belong naturally in the same place.
I am also happy to rename declarations or move the file if reviewers would prefer. |
t-algebra
new-contributor
awaiting-author
label:t-algebra$ |
60/0 |
Mathlib.lean,Mathlib/Algebra/Jordan/Linearization.lean |
2 |
6 |
['Yaohua-Leo', 'github-actions', 'grunweg', 'ocfnash'] |
ocfnash assignee:ocfnash |
75-83965 2 months ago |
75-83965 75 days ago |
13-10710 13 days |
| 36813 |
AlexeyMilovanov author:AlexeyMilovanov |
feat(Computability.Encoding): add self-delimiting unary and pair encodings |
Adds `unaryPrefix` (a self-delimiting $1^n 0$ code) and `prefixPair` to `Mathlib.Computability.Encoding`.
**Key changes:**
* **`unaryPrefix`**: A prefix-free unary encoding for $\mathbb{N}$, distinct from the existing `unaryEncodeNat`.
* **`unaryPrefix_append_inj`**: A basic cancellation lemma that allows unique extraction of a unary prefix from a concatenated list.
* **`prefixPair`**: A self-delimiting pairing function for boolean lists, defined as $\text{unaryPrefix } |x| \frown x \frown y$.
* **`prefixPair_inj`**: A concise proof of pair injectivity leveraging the new prefix lemmas.
|
t-computability
new-contributor
awaiting-author
|
56/1 |
Mathlib/Computability/Encoding.lean |
1 |
2 |
['Komyyy', 'github-actions'] |
Komyyy assignee:Komyyy |
75-24986 2 months ago |
75-24986 75 days ago |
16-42277 16 days |
| 37644 |
matthunz author:matthunz |
feat(Order/Causal): add `Causal` ordering for stream functions |
Adds `Causal` ordering for stream functions and related theorems:
```lean
def Causal (f : Stream' α → Stream' β) : Prop :=
∀ (x y : Stream' α) (t : ℕ), (∀ s, s ≤ t → x s = y s) → f x t = f y t
```
A stream function is causal if the output at time `t` depends only on inputs up to time `t`. Causal stream functions are commonly used in signal processing, reactive systems, and semantics of stateful computations, where outputs cannot depend on future inputs.
## Future work
- Mealy machines: define Mealy machines as causal stream functions with state, and relate them to standard automata-theoretic constructions.
- Feedback and delay operators: formalize feedback loops and delayed composition, enabling modeling of stateful and recursive stream definitions.
---
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|
new-contributor
t-order
|
79/0 |
Mathlib.lean,Mathlib/Order/Causal/Basic.lean,Mathlib/Order/Causal/Defs.lean |
3 |
2 |
['github-actions'] |
nobody |
74-50449 2 months ago |
unknown |
0-0 0 seconds |
| 37695 |
Morten-Ness author:Morten-Ness |
refactor(GroupTheory/Complement): simplify complement proofs |
Simplifies the proofs of:
- `Subgroup.IsComplement'.symm`
- `Subgroup.isComplement_singleton_left`
- `Subgroup.isComplement_singleton_right`
No API changes.
AI assistance: I used Codex/LLM suggestions as a starting point, then manually checked the proofs, and verified the final version locally.
---
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[](https://gitpod.io/from-referrer/)
|
t-group-theory
new-contributor
awaiting-author
|
15/17 |
Mathlib/GroupTheory/Complement.lean |
1 |
4 |
['github-actions', 'tb65536'] |
tb65536 assignee:tb65536 |
72-5739 2 months ago |
72-5739 72 days ago |
0-68801 19 hours |
| 37489 |
michael-novak-math author:michael-novak-math |
feat: add the fundamental theorem of plane curves |
We add to the PlaneCurves file created in PR #36731 a classical result in the subject of differential geometry of plane curves: the fundamental theorem of plane curves.
---------
- [ ] depends on: #36731 |
new-contributor
t-differential-geometry
t-analysis
blocked-by-other-PR
|
651/0 |
Mathlib.lean,Mathlib/Analysis/InnerProductSpace/Calculus.lean,Mathlib/Geometry/PlaneCurves.lean,Mathlib/MeasureTheory/Integral/IntervalIntegral/FundThmCalculus.lean,docs/references.bib |
5 |
5 |
['github-actions', 'mathlib-dependent-issues', 'michael-novak-math'] |
nobody |
71-82719 2 months ago |
77-67575 77 days ago |
0-13581 3 hours |
| 37111 |
tannerduve author:tannerduve |
feat(Computability): add Nat.PrimrecIn and PrimrecIn |
- Add `Nat.PrimrecIn`: primitive recursive functions relative to a set of oracles
- Add `PrimrecIn`: lifts `Nat.PrimrecIn` to `Primcodable` types
A `PrimrecIn` version of `RecursiveIn.iff_nat` (i.e., `PrimrecIn O (f : ℕ → ℕ) ↔ Nat.PrimrecIn O f`) is left as future work as it requires proving `Nat.PrimrecIn O Nat.pred`, which needs additional API for `Nat.PrimrecIn`.
---
Split out from #34937 as requested in review.
- [x] depends on: #37061 |
t-computability
new-contributor
awaiting-author
|
24/0 |
Mathlib/Computability/RecursiveIn.lean |
1 |
14 |
['Komyyy', 'bryangingechen', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'tannerduve'] |
nobody |
68-49843 2 months ago |
69-62702 69 days ago |
1-79421 1 day |
| 37954 |
jdhart81 author:jdhart81 |
feat(Data/ENNReal/Inv): add ENNReal.div_mul_div_cancel |
Proves a / b * (b / c) = a / c for b ≠ 0, b ≠ ∞ in ENNReal. Proof via mul_div_assoc and existing div_mul_cancel.
AI Disclosure: This PR was developed with assistance from an LLM (Claude, Anthropic) for proof exploration and text drafting. The proof was compiled and verified locally by the contributor, who understands the mathematical content. This lemma is extracted from a larger formalization of information-theoretic bounds (Zenodo DOI: 10.5281/zenodo.19317983).
---
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[](https://gitpod.io/from-referrer/)
|
t-data
new-contributor
|
5/0 |
Mathlib/Data/ENNReal/Inv.lean |
1 |
2 |
['github-actions'] |
nobody |
66-72702 2 months ago |
66-72700 66 days ago |
0-75 1 minute |
| 36770 |
Xmask19 author:Xmask19 |
feat: invariance of domain via Brouwer's fixed point theorem |
Continuous and injective maps from Rn to Rn are open mappings. This is shown given Brouwer's fixed point theorem. The specific version of Brouwer's theorem assumed is that a continuous map from the closed unit ball to itself has a fixed point. It is used to show a lemma in this proof. Then assuming that invariance of domain isn't true gives a contradiction with this lemma.
---
My supervisor has code for studying topological manifolds which relies on invariance of domain that can be found here: https://github.com/stevensivek/TopologicalManifolds and is planned to be submitted to Mathlib.
<!-- Your PR title will become the first line of the commit message.
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Co-authors in the squash commit are gathered from two sources:
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[](https://gitpod.io/from-referrer/)
|
t-topology
new-contributor
|
617/5 |
Mathlib.lean,Mathlib/AlgebraicTopology/InvarianceOfDomain.lean,Mathlib/Analysis/Convex/GaugeRescale.lean,Mathlib/Topology/Closure.lean,Mathlib/Topology/Order.lean |
5 |
2 |
['github-actions'] |
nobody |
63-56964 2 months ago |
63-56940 63 days ago |
0-6926 1 hour |
| 38050 |
WilliamCoram author:WilliamCoram |
feat: Define Newton polygons |
In this file we construct a method to define newton polygons using a Stream' of `Step`'s which correspond to what you would obtain via the 'algorithm' of rotating half-planes as described in Gouvea's p-adic numbers.
---
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[](https://gitpod.io/from-referrer/)
|
t-number-theory
new-contributor
|
620/0 |
Mathlib.lean,Mathlib/NumberTheory/NewtonPolygon.lean |
2 |
3 |
['github-actions', 'jcommelin'] |
nobody |
63-47010 2 months ago |
unknown |
0-0 0 seconds |
| 38113 |
robo7179 author:robo7179 |
feat(SimpleGraph/PerfectGraph): add lemma graph is perfect iff all su… |
Perfect graph theorem , discussion on zulip thread: [#graph theory > Second Order Monadic Logic](https://leanprover.zulipchat.com/#narrow/channel/252551-graph-theory/topic/Second.20Order.20Monadic.20Logic.20for.20Graph/with/583013775)
- [ ] depends on: #37680
- [ ] depends on: #37598 |
t-combinatorics
new-contributor
blocked-by-other-PR
|
54/0 |
Mathlib/Combinatorics/SimpleGraph/PerfectGraph.lean |
1 |
3 |
['github-actions', 'mathlib-dependent-issues'] |
nobody |
62-81729 2 months ago |
62-83088 62 days ago |
0-69 1 minute |
| 37938 |
SamuelSchlesinger author:SamuelSchlesinger |
feat(Probability/Posterior): Posterior PMFs and Various Lemmas |
Upstreaming the probability lemmas needed in https://github.com/leanprover/cslib/pull/464. |
t-measure-probability
new-contributor
awaiting-author
|
130/0 |
Mathlib.lean,Mathlib/Probability/ProbabilityMassFunction/Posterior.lean |
2 |
6 |
['EtienneC30', 'SamuelSchlesinger', 'github-actions'] |
RemyDegenne assignee:RemyDegenne |
62-43072 2 months ago |
63-76513 63 days ago |
0-4092 1 hour |
| 38139 |
sidbedi author:sidbedi |
chore(Algebra/MvPolynomial/Variables): golf MvPolynomial.vars_0 to rfl |
---
The classical qualifier and explicit rewrite chain are unnecessary — the result holds definitionally.
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-algebra
awaiting-author
label:t-algebra$ |
1/2 |
Mathlib/Algebra/MvPolynomial/Variables.lean |
1 |
3 |
['github-actions', 'grunweg'] |
nobody |
62-1132 2 months ago |
62-1132 62 days ago |
0-34567 9 hours |
| 38140 |
sidbedi author:sidbedi |
chore(Data/Analysis/Filter): golf CFilter.ofEquiv_val to rfl |
---
cases F is unnecessary, the result holds definitionally.
[](https://gitpod.io/from-referrer/)
|
t-data
new-contributor
awaiting-author
|
1/2 |
Mathlib/Data/Analysis/Filter.lean |
1 |
3 |
['github-actions', 'grunweg'] |
nobody |
62-1088 2 months ago |
62-1088 62 days ago |
0-34488 9 hours |
| 37683 |
SabrinaJewson author:SabrinaJewson |
feat(Order/OrdContinuous): every map between complete lattices that preserves sSup is a left adjoint of some Galois connection |
It is already proven that the left side of a Galois connection is left-continuous; this provides the converse.
---
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- [ ] depends on: #37682
[](https://gitpod.io/from-referrer/)
|
new-contributor
blocked-by-other-PR
merge-conflict
t-order
|
90/136 |
Mathlib/Order/ConditionallyCompleteLattice/Basic.lean,Mathlib/Order/ConditionallyCompletePartialOrder/Defs.lean,Mathlib/Order/OrdContinuous.lean,Mathlib/Order/SemiconjSup.lean,Mathlib/Tactic/Translate/ToDual.lean,Mathlib/Topology/Order/Basic.lean |
6 |
4 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
61-62096 2 months ago |
73-30988 73 days ago |
0-1447 24 minutes |
| 37684 |
SabrinaJewson author:SabrinaJewson |
feat(Topology/Order): provide lemmas linking topological continuity to order continuity |
All the hard work is already done, but this just fills in a couple convenient missing pieces.
---
<!-- Your PR title will become the first line of the commit message.
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- [ ] depends on: #37682
[](https://gitpod.io/from-referrer/)
|
new-contributor
blocked-by-other-PR
merge-conflict
t-topology
|
106/136 |
Mathlib/Order/ConditionallyCompleteLattice/Basic.lean,Mathlib/Order/ConditionallyCompletePartialOrder/Defs.lean,Mathlib/Order/OrdContinuous.lean,Mathlib/Order/SemiconjSup.lean,Mathlib/Tactic/Translate/ToDual.lean,Mathlib/Topology/Order/Basic.lean,Mathlib/Topology/Order/IsLUB.lean,Mathlib/Topology/Order/Monotone.lean |
8 |
4 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
61-62085 2 months ago |
73-30989 73 days ago |
0-1299 21 minutes |
| 38154 |
ybenmeur author:ybenmeur |
add subsingleton case to ExpChar |
---
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|
t-algebra
new-contributor
label:t-algebra$ |
113/49 |
Mathlib/Algebra/CharP/Algebra.lean,Mathlib/Algebra/CharP/Basic.lean,Mathlib/Algebra/CharP/Defs.lean,Mathlib/Algebra/CharP/Lemmas.lean,Mathlib/Algebra/CharP/Subring.lean,Mathlib/Algebra/Polynomial/Expand.lean,Mathlib/FieldTheory/Perfect.lean,Mathlib/FieldTheory/PurelyInseparable/Exponent.lean,Mathlib/FieldTheory/SeparableDegree.lean,Mathlib/FieldTheory/SeparablyGenerated.lean,Mathlib/RingTheory/MvPolynomial/Basic.lean,Mathlib/RingTheory/MvPowerSeries/Expand.lean,Mathlib/RingTheory/Polynomial/Basic.lean,Mathlib/RingTheory/Polynomial/SeparableDegree.lean,Mathlib/RingTheory/Trace/Basic.lean |
15 |
2 |
['github-actions'] |
nobody |
60-69854 1 month ago |
unknown |
0-0 0 seconds |
| 37593 |
IlPreteRosso author:IlPreteRosso |
refactor(Data.Finset.*Antidiagonal): rename set-based defs to `set*Antidiagonal` |
Renames set-based `Finset.mulAntidiagonal` → `setMulAntidiagonal` (and SMul/VAdd variants) to free the `mulAntidiagonal` name for the planned `HasMulAntidiagonal` typeclass. Deprecation aliases added.
Supersedes #34551 |
t-ring-theory
new-contributor
merge-conflict
|
178/96 |
Mathlib/Algebra/Order/Antidiag/Prod.lean,Mathlib/Data/Finset/MulAntidiagonal.lean,Mathlib/Data/Finset/SMulAntidiagonal.lean,Mathlib/RingTheory/HahnSeries/Multiplication.lean,Mathlib/RingTheory/HahnSeries/PowerSeries.lean,Mathlib/RingTheory/HahnSeries/Summable.lean |
6 |
3 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
60-13481 1 month ago |
60-13482 60 days ago |
15-61521 15 days |
| 38270 |
Deicyde author:Deicyde |
feat(Geometry/Manifold): The Tangent Functor on `MfldCat` |
A simple motivating example for PR #38223. We define the `tangentFunctor : MfldCat 𝕜 (n + 1) ⥤ MfldCat 𝕜 n` which takes any manifold to its tangent bundle and any smooth map to its pushforward.
This is a standard construction in differential geometry. See: J. Lee, Smooth Manifolds, pg. 75
---
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[](https://gitpod.io/from-referrer/)
|
t-differential-geometry
blocked-by-other-PR
new-contributor
|
320/0 |
Mathlib.lean,Mathlib/Geometry/Manifold/Category/MfldCat/Basic.lean,Mathlib/Geometry/Manifold/Category/MfldCat/TangentFunctor.lean,Mathlib/Geometry/Manifold/ContMDiffMap.lean |
4 |
3 |
['github-actions', 'mathlib-dependent-issues'] |
nobody |
59-26537 1 month ago |
unknown |
0-0 0 seconds |
| 38053 |
ntapiam author:ntapiam |
feat(Analysis/Controls): add Control functions |
Add Control functions
----
This PR adds Control functions in the sense of rough paths theory (see e.g. [Friz-Victoir, Section 1.2.1](https://page.math.tu-berlin.de/~friz/master4_May6th.pdf)).
They are related to p-variation norms which are the goal of #38055.
I've shown most results in the above reference though those relating to 1-variation are still a work in progress.
I had to add a few statements about convex functions in order to work over NNReal instead or Real, but I am not sure this is the best way to do it. The reason is that I've defined controls as taking values in NNReal (as they should).
In particular there is
```lean4
theorem nnreal_of_real {f : ℝ≥0 → ℝ≥0}
(hf : ConvexOn ℝ (Set.Ici 0) fun x : ℝ => (f x.toNNReal : ℝ)) : ConvexOn ℝ≥0 ⊤ f
```
which I didn't know where to put. It probably holds in more generality but I didn't check.
I have also included two versions of Controls, one global and one restricted to a set. I tried to follow Mathlib conventions as best as I could but perhaps that could be improved as well.
<!-- Your PR title will become the first line of the commit message.
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[](https://gitpod.io/from-referrer/)
|
WIP
t-analysis
new-contributor
|
571/1 |
Mathlib.lean,Mathlib/Analysis/Controls/BoundedVariation.lean,Mathlib/Analysis/Controls/ControlOn.lean,Mathlib/Analysis/Controls/Defs.lean,Mathlib/Analysis/Convex/Function.lean,docs/references.bib |
6 |
4 |
['github-actions', 'ntapiam'] |
nobody |
58-81985 1 month ago |
64-47168 64 days ago |
0-52 52 seconds |
| 38399 |
openendings author:openendings |
feat: OrderHom.instOrderSupSet for LawfulSup |
Currently we have `instance [CompleteLattice β] : SupSet (α →o β)`.
We replace this with a mere `LawfulSup` assumption such as #38328, .
TODO:
- [ ] construct an `OrderSupSet` instance instead of `SupSet`
---
WIP
- [ ] depends on: #38328 [or other `LawfulSup`]
(based on master in case something else needs this)
[](https://gitpod.io/from-referrer/)
|
WIP
t-order
new-contributor
blocked-by-other-PR
|
26/0 |
Mathlib/Order/Hom/Order.lean |
1 |
5 |
['github-actions', 'mathlib-bors', 'mathlib-dependent-issues', 'openendings'] |
nobody |
56-15437 1 month ago |
56-18281 56 days ago |
0-106 1 minute |
| 38388 |
supermanG author:supermanG |
feat(Combinatorics/SimpleGraph): add ballFinset with basic identities |
Introduces `SimpleGraph.ballFinset`, the `Finset` companion to `SimpleGraph.ball` (#36443) on graphs with a `Fintype` vertex set, together with the basic identities `mem_ballFinset`, `ballFinset_zero`, and `ballFinset_one`.
`SimpleGraph.ball` is the *open* metric ball `{u | edist u c < r}` and is indexed by `ℕ∞`; `ballFinset` is typed `ℕ → Finset V` for ergonomics at cardinality-facing call sites. The classical closed-ball cardinality at radius `r`, `|{u | edist u c ≤ r}|`, corresponds to `|ballFinset v (r + 1)|` in this setup.
Opened as draft so CI can run before pinging maintainers.
---
First-time Mathlib contribution — happy to adjust naming, file placement, or docstring style to match house conventions. Follow-up PRs will add cardinality envelopes (sphere cardinality, geometric-series bound, polynomial bound). |
t-combinatorics
new-contributor
LLM-generated
|
68/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/BallCardinality.lean |
2 |
3 |
['SnirBroshi', 'github-actions'] |
nobody |
55-67887 1 month ago |
unknown |
0-0 0 seconds |
| 36853 |
matthunz author:matthunz |
feat(CategoryTheory/Monoidal/Braded/Traced): add `TracedCategory` class |
Adds a `TracedCategory` class following [A. Joyal and R. Street and D. R. Verity, *Traced monoidal categories*](https://www.cambridge.org/core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society/article/abs/traced-monoidal-categories/2BE85628D269D9FABAB41B6364E117C8#article):
```lean
/-- A traced symmetric monoidal category. -/
class TracedCategory
(C : Type u)
[Category.{v} C]
[MonoidalCategory.{v} C]
[SymmetricCategory.{v} C] where
/-- The trace operator. -/
trace : ∀ {A B : C} (W : C), (A ⊗ W ⟶ B ⊗ W) → (A ⟶ B)
/-- Left tightening: sliding a morphism past the trace on the left. -/
trace_naturality_left : ∀ {A A' B : C} (W : C) (f : A' ⟶ A) (g : A ⊗ W ⟶ B ⊗ W),
trace W (f ▷ W ≫ g) = f ≫ trace W g := by cat_disch
/-- Right tightening: sliding a morphism past the trace on the right. -/
trace_naturality_right : ∀ {A B B' : C} (W : C) (f : A ⊗ W ⟶ B ⊗ W) (g : B ⟶ B'),
trace W (f ≫ g ▷ W) = trace W f ≫ g := by cat_disch
/-- Sliding: an endomorphism on the feedback wire slides past the trace. -/
trace_dinaturality : ∀ {A B W : C} (f : A ⊗ W ⟶ B ⊗ W) (h : W ⟶ W),
trace W (f ≫ B ◁ h) = trace W (A ◁ h ≫ f) := by cat_disch
/-- Superposing: trace commutes with left tensoring by a bystander object. -/
trace_superposing : ∀ {A B : C} (C' W : C) (f : A ⊗ W ⟶ B ⊗ W),
C' ◁ trace W f = trace W ((α_ C' A W).hom ≫ C' ◁ f ≫ (α_ C' B W).inv) := by cat_disch
/-- Vanishing I: trace over the tensor unit is the morphism itself (up to unitors). -/
trace_vanishing_one : ∀ {A B : C} (f : A ⊗ 𝟙_ C ⟶ B ⊗ 𝟙_ C),
trace (𝟙_ C) f = (ρ_ A).inv ≫ f ≫ (ρ_ B).hom := by cat_disch
/-- Vanishing II: trace over a tensor product equals iterated trace. -/
trace_vanishing_two : ∀ {A B X Y : C} (f : A ⊗ (X ⊗ Y) ⟶ B ⊗ (X ⊗ Y)),
trace (X ⊗ Y) f = trace X (trace Y ((α_ A X Y).hom ≫ f ≫ (α_ B X Y).inv)) := by cat_disch
/-- Yanking: the trace of the braiding is the identity. -/
trace_yanking : ∀ (W : C), trace W (β_ W W).hom = 𝟙 W := by cat_disch
```
## Motivation
`TracedCategory` can be used for denoting things like electric circuits, which require a traced symmetric monoidal category for the wire graph network.
## Future work
- `instance [CompactClosedCategory C] : TracedCategory C`
- possible notation such as `Tr_[W] f`
---
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|
t-category-theory
new-contributor
awaiting-author
merge-conflict
|
237/0 |
Mathlib.lean,Mathlib/CategoryTheory/Monoidal/Braided/Traced.lean,Mathlib/CategoryTheory/Monoidal/Rigid/Traced.lean,docs/references.bib |
4 |
5 |
['dagurtomas', 'github-actions', 'mathlib-merge-conflicts', 'matthunz'] |
nobody |
54-61986 1 month ago |
90-51549 90 days ago |
0-25956 7 hours |
| 36850 |
whocares-abt author:whocares-abt |
feat(Combinatorics/SimpleGraph/Acyclic): deleting leaves from a tree gives a tree |
Added theorem stating Deleting a leaf from a tree produces a tree. |
t-combinatorics
new-contributor
awaiting-author
|
5/0 |
Mathlib/Combinatorics/SimpleGraph/Acyclic.lean |
1 |
9 |
['YaelDillies', 'github-actions', 'vlad902'] |
YaelDillies assignee:YaelDillies |
52-6864 1 month ago |
52-6974 52 days ago |
38-73648 38 days |
| 37774 |
weisbrja author:weisbrja |
fix: change variables in `bicompl` to `Sort*` and add missing theorem mentioned in `bicompl` docs |
[#mathlib4 > Why does Mathlib use Type* instead of Sort* in some places?](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Why.20does.20Mathlib.20use.20Type.2A.20instead.20of.20Sort.2A.20in.20some.20places.3F/with/583882342)
---
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[](https://gitpod.io/from-referrer/)
|
new-contributor
t-logic
merge-conflict
|
6/1 |
Mathlib/Logic/Function/Basic.lean |
1 |
8 |
['github-actions', 'kbuzzard', 'leanprover-radar', 'mathlib-merge-conflicts', 'weisbrja'] |
nobody |
51-56391 1 month ago |
51-56392 51 days ago |
19-76858 19 days |
| 37445 |
edwin1729 author:edwin1729 |
feat(Topology/Order): set of compact elements, generating basic opens contained in a `Locale.PT`, is directed |
This is (2/4) PRs culminating in a proof that "Scott Topologies over Algebraic DCPOs are Sober". In this PR we prove properties of a certain set of compact elements, w.r.t a `Locale.PT`.
A `Locale.PT` can be thought of as a set of `Opens`. Precisely it is a Frame homomorphism from `Opens _` to `Prop` so we are essentially choosing certain `Opens` to form our set and this set has additional properties. Namely it is a completely prime filter: if the supremum of some Opens is contained than atleast one of the Opens must be contained.
Take some `Locale.PT`, `x`. In this PR, we prove that the set of compact elements generating basic opens (compact elements generate topological basis see #31662) contained in `x` is directed.
This set of compact elements defined above is important in subsequent parts of the proof since it fully determines `x`.
- [ ] depends on: #31662
---
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[](https://gitpod.io/from-referrer/)
|
t-topology
blocked-by-other-PR
new-contributor
merge-conflict
|
296/1 |
Mathlib.lean,Mathlib/Topology/Order/ScottTopology.lean,Mathlib/Topology/Order/ScottTopologyDCPO.lean,docs/references.bib |
4 |
4 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
51-39313 1 month ago |
78-63791 78 days ago |
0-463 7 minutes |
| 37556 |
edwin1729 author:edwin1729 |
feat(Topology/Order): Locale.localePointOfSpacePoint if we have a Scott Topology from an Algebraic DCPO |
(3/4) in a series of PRs proving that "Scott Topologies over Algebraic DCPOs are Sober"
We prove here that the unit of the adjunction from `TopCat` to `Locale` defined in `Topology/Order/Category/FrameAdjunction.lean` is a surjective mapping, under the following condition:
The underlying TopologicalSpace must be a Scott Topology generated with an underlying Algebraic DCPO structure.
- [ ] depends on: #37445
---
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|
t-topology
new-contributor
blocked-by-other-PR
merge-conflict
|
393/1 |
Mathlib.lean,Mathlib/Topology/Order/ScottTopology.lean,Mathlib/Topology/Order/ScottTopologyDCPO.lean,docs/references.bib |
4 |
5 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
51-39312 1 month ago |
76-63812 76 days ago |
0-1300 21 minutes |
| 38560 |
Deicyde author:Deicyde |
feat(Geometry/Manifold): `MfldCat` is a `CartesianMonoidalCategory` |
We prove that the category `MfldCat` of C^n manifolds is a Cartesian monoidal category, and also derive the `BraidedCategory` instance. This PR introduces a new file `Geometry/Manifold/Category/MfldCat/CartesianMonoidal` closely mirroring the structure of `Algebra/Category/Grp/CartesianMonoidal.lean`
---
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- [ ] depends on: #38223
[](https://gitpod.io/from-referrer/)
|
t-differential-geometry
blocked-by-other-PR
new-contributor
|
281/0 |
Mathlib.lean,Mathlib/Geometry/Manifold/Category/MfldCat/Basic.lean,Mathlib/Geometry/Manifold/Category/MfldCat/CartesianMonoidal.lean,Mathlib/Geometry/Manifold/ContMDiffMap.lean |
4 |
3 |
['github-actions', 'mathlib-dependent-issues'] |
nobody |
51-12558 1 month ago |
unknown |
0-0 0 seconds |
| 37814 |
sglasman author:sglasman |
feat: Equivalence between HopfAlgCat R and Hopf (ModuleCat R) |
This PR resolves a TODO by demonstrating an equivalence of categories between two models of the category of Hopf algebras over a commutative ring R, that of Hopf objects in the module category of R and that of types with a `HopfAlgebra R` instance.
---
AI declaration: I consulted with Claude on proof strategies. The proofs were ultimately written by me.
|
new-contributor
large-import
t-category-theory
WIP
|
214/4 |
Mathlib/CategoryTheory/Monoidal/Hopf_.lean,Mathlib/RingTheory/HopfAlgebra/Basic.lean |
2 |
5 |
['dagurtomas', 'github-actions', 'robin-carlier', 'sglasman'] |
kim-em assignee:kim-em |
50-17076 1 month ago |
55-65939 55 days ago |
14-69757 14 days |
| 38635 |
Fieldnote-Echo author:Fieldnote-Echo |
chore(scripts): handle simple to_additive deprecations |
Closes #38550.
This updates `scripts/add_deprecations.sh` so that, when a renamed declaration is near an existing `@[to_additive]` attribute, the script also emits the additive deprecation alias in the common default-name case.
For example, `foo_mul -> bar_mul` now produces:
```lean
@[deprecated (since := "...")]
alias foo_add := bar_add
@[to_additive existing, deprecated (since := "...")]
alias foo_mul := bar_mul
```
This is intentionally conservative and text-based, matching the existing script. It handles common name translations such as mul/add, prod/sum, one/zero, inv/neg, and div/sub, and skips cases that look like they need less common to_additive name generation.
Tested with a local six-case fixture and a scratch Lean file confirming that the generated alias form compiles and produces deprecation warnings for both names.
I opened this as draft because I still count as a new contributor under the LLM-assisted PR policy. I have one merged mathlib PR (#36443), and this is a one-file script patch that I reviewed/tested manually. I'll leave it as draft unless a maintainer gives it the green light to flip ready.
I used Claude assistance while drafting and testing the patch. I reviewed the final diff manually and tested the generated Lean form locally. |
CI
new-contributor
|
121/10 |
scripts/add_deprecations.sh |
1 |
4 |
['Fieldnote-Echo', 'SnirBroshi', 'github-actions'] |
kim-em assignee:kim-em |
49-18171 1 month ago |
unknown |
0-0 0 seconds |
| 37819 |
YellPika author:YellPika |
feat(Order/OmegaCompletePartialOrder): add `OmegaCompletePartialOrder` instance for `WithBot` with basic `ωScottContinuous` lemmas |
This is a modification of #34093. See #34093 for details.
---
- [x] depends on: #33941
- [x] depends on: #37258
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[](https://gitpod.io/from-referrer/)
|
new-contributor
t-order
merge-conflict
|
337/10 |
Mathlib/Algebra/Order/Ring/WithTop.lean,Mathlib/Analysis/BoxIntegral/Box/Basic.lean,Mathlib/Order/Monotone/Basic.lean,Mathlib/Order/OmegaCompletePartialOrder.lean,Mathlib/Order/TypeTags.lean,Mathlib/Order/WithBot.lean |
6 |
5 |
['Komyyy', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
Komyyy assignee:Komyyy |
48-20452 1 month ago |
48-20452 48 days ago |
22-11204 22 days |
| 38056 |
Deicyde author:Deicyde |
feat: topological vector bundle homomorphisms |
This PR implements topological vector bundle morphisms.
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- [ ] depends on: #38023
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[](https://gitpod.io/from-referrer/)
|
new-contributor
t-topology
merge-conflict
|
805/0 |
Mathlib/Analysis/Normed/Module/FiniteDimension.lean,Mathlib/Topology/FiberBundle/Basic.lean,Mathlib/Topology/FiberBundle/Trivialization.lean,Mathlib/Topology/VectorBundle/Basic.lean,Mathlib/Topology/VectorBundle/Morphism.lean |
5 |
4 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
47-52697 1 month ago |
unknown |
0-0 0 seconds |
| 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 |
46-58585 1 month ago |
58-34687 58 days ago |
58-34653 58 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 |
45-21670 1 month ago |
45-78298 45 days ago |
45-77738 45 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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[](https://gitpod.io/from-referrer/)
|
t-combinatorics
new-contributor
|
133/0 |
Mathlib.lean,Mathlib/Combinatorics/SetFamily/Sperner1D.lean |
2 |
3 |
['github-actions', 'grunweg'] |
nobody |
45-12904 1 month ago |
45-23054 45 days ago |
45-22494 45 days |
| 38750 |
openendings author:openendings |
feat(Data/Nat): add padicValNat_add_eq_min |
Add lemmas for `padicValNat` mirroring the [e]multiplicity API, including
- padicValNat_eq_of_dvd_of_not_dvd
- padicValNat_add_of_gt
- padicValNat_add_eq_min
---
[](https://gitpod.io/from-referrer/)
|
t-data
new-contributor
awaiting-author
|
36/0 |
Mathlib/Data/Nat/MaxPowDiv.lean |
1 |
7 |
['Ruben-VandeVelde', 'github-actions', 'openendings'] |
nobody |
45-9929 1 month ago |
45-35425 45 days ago |
3-62762 3 days |
| 38170 |
maddycrim author:maddycrim |
feat(Algebra/Module/FinitePresentation): Finitely Presented Module Lemma |
From FLT Project
Main Definitions:
`Module.FinitePresentation.exists_fin_exact` : A finitely presented module M admits an exact sequence F' -> F -> M -> 0 where F' and F are finite free modules.
---
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[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
awaiting-author
label:t-algebra$ |
9/0 |
Mathlib/Algebra/Module/FinitePresentation.lean |
1 |
17 |
['chrisflav', 'github-actions', 'maddycrim', 'themathqueen', 'vlad902'] |
nobody |
44-8260 1 month ago |
44-8260 44 days ago |
17-43852 17 days |
| 36896 |
PieterCuijpers author:PieterCuijpers |
feat (Algebra/Order/Quantale): isMulLeftsided, isMulRightsided, isMulTwosided and strict versions |
* Adding definitions of quantale elements being leftsided, rightsided, and twosided, and strict versions
Should we include these definitions in the main Algebra/Order/Quantale.lean file, or start a separate file for them?
I have a few basic theorems I would like to include on these notions, but invite suggestions.
---
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[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
awaiting-author
label:t-algebra$ |
81/1 |
Mathlib/Algebra/Order/Quantale.lean |
1 |
5 |
['NoahW314', 'PieterCuijpers', 'chrisflav', 'github-actions'] |
mariainesdff assignee:mariainesdff |
43-75805 1 month ago |
50-68060 50 days ago |
39-18222 39 days |
| 38973 |
hyeoniuwu author:hyeoniuwu |
feat(Computability): define (single oracle) turing reducibility, relate it to RecursiveIn and prove basic jump theorems |
feat(Computability): define (single oracle) Turing reducibility, relate it to RecursiveIn and prove basic jump theorems
Defines Turing reducibility and the jump operator, with total functions (from naturals to naturals) as oracles.
Defines codes for basic primitive recursive functions, and the evaluation function.
Proves basic reducibility arguments, such as `K0_eq_K` asserting that K0 of an oracle is Turing equivalent to K of an oracle.
Our reducibility is related back to `RecursiveIn` as is currently defined in Mathlib via the theorem `SingleReducibleIff`.
This is part of a larger repository where more advanced theorems such as KP54 have been proven. (https://github.com/hyeoniuwu/CiL)
Co-authored-by: Tanner Duve
---
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- Nat.bit1_add_bit1
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|
new-contributor
awaiting-author
|
4988/0 |
Mathlib/Computability/SingleOracle/Basic.lean,Mathlib/Computability/SingleOracle/Constructions/Basic.lean,Mathlib/Computability/SingleOracle/Constructions/CovRec.lean,Mathlib/Computability/SingleOracle/Constructions/Dovetail.lean,Mathlib/Computability/SingleOracle/Constructions/Eval.lean,Mathlib/Computability/SingleOracle/Constructions/Eval_Aux.lean,Mathlib/Computability/SingleOracle/Constructions/List.lean,Mathlib/Computability/SingleOracle/Constructions/Meta.lean,Mathlib/Computability/SingleOracle/Constructions/Option.lean,Mathlib/Computability/SingleOracle/Constructions/Primitive.lean,Mathlib/Computability/SingleOracle/Encoding.lean,Mathlib/Computability/SingleOracle/Jump.lean,Mathlib/Computability/SingleOracle/Oracle.lean,Mathlib/Computability/SingleOracle/Order.lean,Mathlib/Computability/SingleOracle/RecursiveIn.lean,Mathlib/Computability/SingleOracle/Reducibilities.lean,Mathlib/Data/Option/Basic.lean,Mathlib/Tactic/Attr/Register.lean,Mathlib/Tactic/Computability/Basic.lean |
19 |
3 |
['github-actions', 'grunweg'] |
nobody |
43-47137 1 month ago |
unknown |
0-0 0 seconds |
| 37456 |
Robertboy18 author:Robertboy18 |
feat(LinearAlgebra/AffineSpace): add parallel form of Desargues's theorem |
This PR adds an affine parallel form of Desargues's theorem, corresponding to entry `87` of the Lean community “100 theorems” list and following the related Rocq/Coq affine-geometry statement.
**Main changes**
- New file `Mathlib/LinearAlgebra/AffineSpace/Desargues.lean` with `parallel_third_side_of_perspective`.
- Add the corresponding `public import` to `Mathlib.lean`.
- Update `docs/100.yaml` entry `87` with a note that this is the parallel affine form.
**Proof idea**
The proof compares side vectors using `exists_eq_smul_of_parallel` for the two given pairs of parallel sides. The shared comparison along `SA` forces the same scalar, which gives parallelism of the third pair of sides.
Tests: `lake build Mathlib.LinearAlgebra.AffineSpace.Desargues`
AI disclosure: GPT-5.2 Pro was used for assistance with web search/background details about the theorem and for finding useful existing Mathlib lemmas. The theorem statement and Lean formalization were written and checked by hand.
---
[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
awaiting-author
LLM-generated
label:t-algebra$ |
133/0 |
Mathlib.lean,Mathlib/LinearAlgebra/AffineSpace/Desargues.lean |
2 |
17 |
['Robertboy18', 'SnirBroshi', 'copilot-pull-request-reviewer', 'eric-wieser', 'github-actions', 'wwylele'] |
eric-wieser assignee:eric-wieser |
43-43775 1 month ago |
69-71923 69 days ago |
8-72313 8 days |
| 38792 |
openendings author:openendings |
wip, chore: rename Directed -> Predirected [please-adopt] |
This **incomplete** PR renames `Directed` to `Predirected`.
As [discussed in Zulip](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/.3E.20complete.20partial.20order.20and.20domain.20theory.20formalization/near/592156927), `Directed` misleadingly mismatches the literature. (The literature says a directed set is nonempty, and we do not.)
#### f19d3e79 Rename Directed -> Predirected (class + namespace)
Automated changes:
- LSP code action renaming `Directed` to `Predirected`
- with the affected 69 files open in [lean.nvim](https://github.com/julian/lean.nvim), a series of commands roughly equivalent to
```nvim
:bufdo :silent %s/\(theorem \|lemma \|to_dual \)Directed\>/\1Predirected/ge
:bufdo :silent %s/\<Directed\>\./Predirected./ge
:bufdo :w
```
EDIT: manual changes
- one `namespace Directed` replaced.
### Corners cut:
- line-length linting has **not** been resolved.
- no snake-cased `directed` has been renamed.
- only tested via `lake build --old`, plus maybe ten minutes of `lake build` before I (@openendings ) got bored and wanted my CPU back.
---
WIP
please-adopt
t-order
<!-- Your PR title will become the first line of the commit message.
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please-adopt
new-contributor
WIP
merge-conflict
|
196/195 |
Mathlib/Algebra/Algebra/NonUnitalSubalgebra.lean,Mathlib/Algebra/Algebra/Subalgebra/Directed.lean,Mathlib/Algebra/Field/Subfield/Basic.lean,Mathlib/Algebra/Group/Subgroup/Lattice.lean,Mathlib/Algebra/Group/Submonoid/Membership.lean,Mathlib/Algebra/Group/Subsemigroup/Membership.lean,Mathlib/Algebra/Ring/Subring/Basic.lean,Mathlib/Algebra/Ring/Subsemiring/Basic.lean,Mathlib/Algebra/Star/NonUnitalSubalgebra.lean,Mathlib/Analysis/Convex/Basic.lean,Mathlib/Analysis/Convex/Strict.lean,Mathlib/Analysis/InnerProductSpace/Orthonormal.lean,Mathlib/CategoryTheory/Filtered/Basic.lean,Mathlib/Data/Finset/Order.lean,Mathlib/Data/Fintype/Order.lean,Mathlib/Data/Set/Accumulate.lean,Mathlib/Data/Set/Dissipate.lean,Mathlib/Data/Set/Finite/Lattice.lean,Mathlib/Data/Set/Lattice.lean,Mathlib/Data/Set/Lattice/Image.lean,Mathlib/Data/Set/Pairwise/Lattice.lean,Mathlib/Data/Set/UnionLift.lean,Mathlib/Dynamics/PeriodicPts/Lemmas.lean,Mathlib/FieldTheory/CardinalEmb.lean,Mathlib/FieldTheory/Extension.lean,Mathlib/FieldTheory/IntermediateField/Adjoin/Basic.lean,Mathlib/LinearAlgebra/Eigenspace/Basic.lean,Mathlib/LinearAlgebra/LinearIndependent/Lemmas.lean,Mathlib/LinearAlgebra/Span/Defs.lean,Mathlib/Logic/Encodable/Basic.lean,Mathlib/MeasureTheory/Function/SimpleFunc.lean,Mathlib/MeasureTheory/Integral/Lebesgue/Add.lean,Mathlib/MeasureTheory/Integral/Lebesgue/Basic.lean,Mathlib/MeasureTheory/Integral/Lebesgue/Sub.lean,Mathlib/MeasureTheory/Measure/MeasureSpace.lean,Mathlib/MeasureTheory/Measure/Restrict.lean,Mathlib/MeasureTheory/PiSystem.lean,Mathlib/ModelTheory/Satisfiability.lean,Mathlib/ModelTheory/Substructures.lean,Mathlib/ModelTheory/Syntax.lean,Mathlib/Order/CompactlyGenerated/Basic.lean,Mathlib/Order/CompletePartialOrder.lean,Mathlib/Order/ConditionallyCompletePartialOrder/Defs.lean,Mathlib/Order/ConditionallyCompletePartialOrder/Indexed.lean,Mathlib/Order/Directed.lean,Mathlib/Order/Filter/Bases/Basic.lean,Mathlib/Order/Filter/Basic.lean,Mathlib/Order/Filter/Lift.lean,Mathlib/Order/Filter/Map.lean,Mathlib/Order/OmegaCompletePartialOrder.lean,Mathlib/Order/Preorder/Chain.lean,Mathlib/Order/RelIso/Set.lean,Mathlib/Probability/Independence/Basic.lean,Mathlib/Probability/Independence/Conditional.lean,Mathlib/Probability/Independence/Kernel/Indep.lean,Mathlib/Probability/Independence/ZeroOne.lean,Mathlib/Probability/Kernel/Disintegration/CDFToKernel.lean,Mathlib/RingTheory/AlgebraicIndependent/Basic.lean,Mathlib/RingTheory/NonUnitalSubring/Basic.lean,Mathlib/RingTheory/NonUnitalSubsemiring/Basic.lean,Mathlib/Topology/Algebra/Valued/NormedValued.lean,Mathlib/Topology/Category/TopCat/Limits/Konig.lean,Mathlib/Topology/Compactness/Compact.lean,Mathlib/Topology/Compactness/CompactSystem.lean,Mathlib/Topology/Compactness/CountablyCompact.lean,Mathlib/Topology/Semicontinuity/Basic.lean,Mathlib/Topology/Separation/Hausdorff.lean,Mathlib/Topology/Separation/Profinite.lean,Mathlib/Topology/UniformSpace/UniformConvergenceTopology.lean |
69 |
7 |
['github-actions', 'kbuzzard', 'mathlib-merge-conflicts', 'openendings'] |
nobody |
43-39164 1 month ago |
unknown |
0-0 0 seconds |
| 38960 |
ajhendel author:ajhendel |
chore: remove ℕ+ interval_cases workaround in ADEInequality |
`interval_cases` now supports `ℕ+`, so the manual `Finset.mem_Iio`/`Finset.mem_Ico` + `conv` + `fin_cases` workaround (marked with a porting note) is no longer needed.
Replaces three 3-4 line workaround blocks with `interval_cases p`/`q`/`r`. |
t-number-theory
new-contributor
awaiting-CI
|
3/10 |
Mathlib/NumberTheory/ADEInequality.lean |
1 |
2 |
['github-actions'] |
nobody |
42-78356 1 month ago |
43-79288 43 days ago |
0-105 1 minute |
| 38374 |
idontgetoutmuch author:idontgetoutmuch |
Principal Bundles, Connection 1-forms and the Frame Bundle |
---
<!-- Your PR title will become the first line of the commit message.
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[](https://gitpod.io/from-referrer/)
|
t-differential-geometry
new-contributor
|
2017/0 |
Mathlib/Geometry/Manifold/Algebra/FakeFormII.lean,Mathlib/Geometry/Manifold/Algebra/PrincipalGBundle.lean,Mathlib/Geometry/Manifold/Algebra/SmoothLieExp.lean |
3 |
2 |
['github-actions'] |
nobody |
41-76953 1 month ago |
unknown |
0-0 0 seconds |
| 38476 |
agusakov author:agusakov |
refactor(Combinatorics/Digraph): add vertex sets |
---
Adopting #33466
<!-- Your PR title will become the first line of the commit message.
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-->
[](https://gitpod.io/from-referrer/)
|
t-combinatorics
new-contributor
awaiting-author
|
381/50 |
Mathlib/Combinatorics/Digraph/Basic.lean,Mathlib/Combinatorics/Digraph/Orientation.lean |
2 |
16 |
['Shreyas4991', 'YaelDillies', 'agusakov', 'github-actions'] |
nobody |
40-80471 1 month ago |
50-12612 50 days ago |
3-33232 3 days |
| 39108 |
idontgetoutmuch author:idontgetoutmuch |
feat(Geometry/Manifold/GroupLieAlgebra): Add mfderiv_mul_left_mul and left-translate for integral curves |
Add the following:
`mfderiv_mul_left_mul`: the derivative of left-multiplication satisfies a chain rule:
$$d(L_{g \cdot h})_x = d(L_g)_{h \cdot x} \circ d(L_h)_x$$
`mulInvariantVectorField_mul`: the vector field at the translated point is the push forward of the vector field:
$$V(g \cdot h) = d(L_g)_h(V(h))$$
`IsMIntegralCurve.left_translate`: using these, if $\gamma$ is an integral curve of $V$, then so is $t \mapsto g \bullet \gamma(t)$ for any $g \in G$, since:
$$\frac{d}{dt}(g \bullet \gamma(t)) = d(L_g)_{\gamma(t)}\left(\frac{d\gamma}{dt}(t)\right) = d(L_g)_{\gamma(t)}(V(\gamma(t))) = V(g \bullet \gamma(t))$$
I argue (*) all the time with LLMs so this PR will certainly have had some input from them. Is that enough of a disclosure?
(*) Like Lewis Carroll:
In my youth said the sage I took to the law and argued each case with wife
And the muscular strength that it gave to my jaw has lasted the rest of my life
|
t-differential-geometry
new-contributor
awaiting-author
LLM-generated
|
73/0 |
Mathlib/Geometry/Manifold/GroupLieAlgebra.lean |
1 |
8 |
['github-actions', 'grunweg'] |
nobody |
39-59527 1 month ago |
39-59592 39 days ago |
0-37992 10 hours |
| 39151 |
anovickis author:anovickis |
feat(Analysis/CStarAlgebra/Matrix): IsTopologicalGroup for specialUnitaryGroup |
Adds `ContinuousInv` and `IsTopologicalGroup` instances for `Matrix.specialUnitaryGroup n 𝕜`.
The unitary group `Matrix.unitaryGroup n α` already inherits these via the `unitaryGroup ≡ unitary R` abbrev + existing instances on `unitary R` (in `Mathlib/Topology/Algebra/Star/Unitary.lean`). However, `specialUnitaryGroup` is the sub-Submonoid `unitaryGroup ⊓ MonoidHom.mker detMonoidHom` — it does not auto-inherit those instances since it is not literally an alias of `unitary R`.
### New declarations
- `instance Matrix.specialUnitaryGroup.instContinuousInv` — proven via `Matrix.star_eq_inv` + `continuous_star`
- `instance Matrix.specialUnitaryGroup.instIsTopologicalGroup` — combining `ContinuousMul` (from Submonoid structure) + `ContinuousInv`
Both placed inside the existing `EntrywiseSupNorm` section in `Mathlib/Analysis/CStarAlgebra/Matrix.lean` (the natural neighborhood for matrix-specific topological structure on (special) unitary groups).
### Motivation
These instances enable using `specialUnitaryGroup` as a topological group in homogeneous-space constructions (e.g., `SU(3) ⧸ T = F₂` flag manifolds). They complement #39146 (CompactSpace instances for the same groups) — together giving the standard 'compact topological group' typeclass set on `specialUnitaryGroup`.
### Verification
\`\`\`lean
example : ContinuousInv (Matrix.specialUnitaryGroup (Fin 3) ℂ) := inferInstance -- now works
example : IsTopologicalGroup (Matrix.specialUnitaryGroup (Fin 3) ℂ) := inferInstance -- now works
\`\`\`
Both fail on master without this PR; both succeed after. |
t-analysis
new-contributor
awaiting-author
|
30/0 |
Mathlib/Analysis/CStarAlgebra/Matrix.lean |
1 |
3 |
['github-actions', 'j-loreaux', 'wwylele'] |
nobody |
38-48651 1 month ago |
38-48651 38 days ago |
0-3921 1 hour |
| 39191 |
m13683320924-hue author:m13683320924-hue |
feat: define Asymptotics.IsSubpolynomial |
This PR defines `Asymptotics.IsSubpolynomial l f g`, meaning that `f` is asymptotically bounded by `1 + ‖g‖ ^ k` for some `k : ℕ`.
It also adds basic closure lemmas for constants, addition, multiplication, and natural powers.
Towards #32658.
The formalization was developed with the help of Doubao-Seed-2.0-code and manually checked in Lean.
---
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[](https://gitpod.io/from-referrer/) |
t-analysis
new-contributor
|
259/0 |
Mathlib.lean,Mathlib/Analysis/Asymptotics/Subpolynomial.lean |
2 |
3 |
['github-actions'] |
nobody |
37-74609 1 month ago |
37-85570 37 days ago |
0-344 5 minutes |
| 34054 |
YellPika author:YellPika |
feat(Order/OmegaCompletePartialOrder): OmegaCompletePartialOrder instance for `Sigma` with basic `ωScottContinuous` lemmas |
This PR adds an `OmegaCompletePartialOrder` instance for `Sigma` along with `ωScottContinuous` lemmas for basic operations (`mk`, `fst`, `snd`). Appropriate lemmas are marked with `@[fun_prop]` so that the `fun_prop` tactic can automatically deduce `ωScottContinuous` proofs for functions involving `Sigma`s.
---
- [x] depends on: #33941
- [x] depends on: #37258
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|
new-contributor
t-order
please-merge-master
awaiting-author
|
231/0 |
Mathlib/Data/Sigma/Order.lean,Mathlib/Order/OmegaCompletePartialOrder.lean |
2 |
29 |
['Vierkantor', 'YellPika', 'github-actions', 'grunweg', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
grunweg assignee:grunweg |
37-69361 1 month ago |
117-50612 117 days ago |
16-66871 16 days |
| 39213 |
m13683320924-hue author:m13683320924-hue |
feat: define maximal cliques and independent sets |
This PR adds explicit predicates for maximal cliques and maximal independent sets:
- `SimpleGraph.IsMaximalClique`
- `SimpleGraph.IsMaximalIndepSet`
It also adds conversion lemmas to and from the existing `Maximal G.IsClique` and `Maximal G.IsIndepSet` formulations, plus basic complement and maximum-to-maximal lemmas.
Towards #34962.
The formalization was developed with the help of Doubao-Seed-2.0-code and manually checked in Lean.
---
<!-- Your PR title will become the first line of the commit message.
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Second, co-authors can also be listed in lines at the very bottom of
the commit message (that is, directly before the `---`) using the following format:
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[](https://gitpod.io/from-referrer/) |
t-combinatorics
new-contributor
LLM-generated
|
60/22 |
Mathlib/Combinatorics/SimpleGraph/Clique.lean |
1 |
3 |
['SnirBroshi', 'github-actions'] |
nobody |
37-54016 1 month ago |
37-61845 37 days ago |
0-389 6 minutes |
| 32608 |
PrParadoxy author:PrParadoxy |
feat(LinearAlgebra/PiTensorProduct): API for PiTensorProducts indexed by sets |
This PR addresses a TODO item in LinearAlgebra/PiTensorProduct.lean:
* API for the various ways ι can be split into subsets; connect this
with the binary tensor product
-- specifically by describing tensors of type ⨂ (i : S), M i, for S : Set ι.
Our primary motivation is to formalise the notion of "restricted tensor
products". This will be the content of a follow-up PR.
Beyond that, the Set API is natural in contexts where the index type has
an independent interpretation. An example is quantum physics, where ι
ranges over distinguishable degrees of freedom, and where its is common
practice to annotate objects by the set of indices they are defined on.
---
Stub file with preliminary definition of the restricted tensor product as a direct limit of tensors indexed by finite subsets of an index type:
https://github.com/PrParadoxy/mathlib4/blob/restricted-stub/Mathlib/LinearAlgebra/PiTensorProduct/Restricted.lean
---
- [x] depends on: #32598
<!-- Your PR title will become the first line of the commit message.
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|
new-contributor
awaiting-zulip
t-algebra
WIP
label:t-algebra$ |
300/2 |
Mathlib.lean,Mathlib/LinearAlgebra/PiTensorProduct.lean,Mathlib/LinearAlgebra/PiTensorProduct/Set.lean |
3 |
31 |
['PrParadoxy', 'dagurtomas', 'eric-wieser', 'github-actions', 'goliath-klein', 'leanprover-radar', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
nobody |
37-51195 1 month ago |
177-61917 177 days ago |
10-66980 10 days |
| 37299 |
XC0R author:XC0R |
feat(NumberTheory): Chebyshev's lower bound on primorial |
## Summary
Prove `primorial(n) ≥ 2^(n/2)` for all `n ≥ 2` (Chebyshev's 1852 lower bound). This is the lower bound complement to `primorial_le_four_pow`. Addresses the TODO at `Chebyshev.lean` line 50: "Prove Chebyshev's lower bound."
### New file: `Mathlib/NumberTheory/PrimorialLowerBound.lean`
**Main theorems:**
- `two_pow_le_primorial`: `2 ^ n ≤ primorial (2 * n)` for `n ≥ 29`
- `two_pow_div_two_le_primorial`: `2 ^ (n / 2) ≤ primorial n` for `n ≥ 2`
**Key intermediates:**
- `centralBinom_le_pow_mul_primorial`: `C(2n,n) ≤ (2n)^{π(√(2n)+1)} * primorial(2n)`
- `eight_mul_sq_add_le_two_pow`: `8u² + 16u + 8 ≤ 2^u` for `u ≥ 10`
### Proof technique
Central binomial decomposition: from `four_pow_lt_mul_centralBinom` and `factorization_choose_le_log`, bound `C(2n,n)` above by `(2n)^{π(√(2n)+1)} * primorial(2n)`. Rearranging gives `primorial(2n) ≥ 2^n` for `n ≥ 29`. Base cases by `norm_num` + `decide`, large `n` analytically via `√n` factoring.
### AI disclosure
Claude (Anthropic) was used as a coding assistant for Lean tactic exploration, file structuring, and CI debugging. All proof strategy, mathematical content, and final code have been reviewed and are understood by the author. |
t-number-theory
new-contributor
awaiting-author
|
226/2 |
Mathlib/NumberTheory/Chebyshev.lean,Mathlib/NumberTheory/Primorial.lean |
2 |
53 |
['MichaelStollBayreuth', 'Parcly-Taxel', 'XC0R', 'github-actions', 'mathlib-merge-conflicts', 'wwylele'] |
MichaelStollBayreuth assignee:MichaelStollBayreuth |
37-43200 1 month ago |
68-55303 68 days ago |
13-62238 13 days |
| 39232 |
jerwaynejones author:jerwaynejones |
feat(Analysis/Complex): residue theorem for rectangular contours |
Adds `Mathlib/Analysis/Complex/RectangleResidue.lean` (644 LoC), filling the gap between Cauchy–Goursat for rectangles (`Complex.integral_boundary_rect_eq_zero_of_differentiable_on_off_countable`) and the Cauchy integral formula for circles. The file proves the residue formula for rectangular boundary integrals together with a rotated principal log branch needed to evaluate the left-edge integral that crosses the standard cut.
## Why
Mathlib has Cauchy–Goursat for rectangles and the Cauchy integral formula for circles, but no residue theorem for rectangular contours. This file fills that gap. It was extracted from a downstream Lean 4 formalization project (a conditional proof of Goldbach's conjecture, where contour shifting on rectangles arises naturally in Perron's formula).
## Main results
- **`Complex.hasDerivAt_log_neg`** — the rotated logarithm `log_neg z := log (-z) + I * π` has derivative `z⁻¹` on the rotated slit plane `{z | -z ∈ slitPlane}` (cut on the positive real axis).
- **`Complex.boundaryIntegral_inv_sub_eq_two_pi_I`** — for `ρ` strictly inside the rectangle `[z, w]`, `∮_{∂[z,w]} (s − ρ)⁻¹ ds = 2πi`.
- **`Complex.boundaryIntegral_eq_residue_sum`** — parametric residue theorem for a sum of simple poles plus a holomorphic remainder, packaged as `Complex.RectangleResidueData`.
- **`Complex.boundaryIntegral_single_pole`** — the one-pole specialization.
## Structure
The development proceeds in five stages:
1. A notation `Complex.boundaryIntegral` for the oriented boundary integral over `[z, w]`, with a Cauchy–Goursat wrapper and additivity/scaling lemmas.
2. A rotated principal logarithm `Complex.log_neg z := log (-z) + I * π` with cut on the *positive* real axis, plus its derivative and corner-comparison identities with the standard `Complex.log`.
3. Explicit FTC-based evaluations of the four edge integrals of `(s − ρ)⁻¹`.
4. A closed-form residue boundary integral `∮_{∂[z,w]} (s − ρ)⁻¹ ds = 2πi` for `ρ` strictly inside the rectangle.
5. A parametric residue theorem for sums of simple poles plus a holomorphic remainder, packaged as `Complex.RectangleResidueData`.
## References
- L. Ahlfors, *Complex Analysis* (3rd ed.), §4.5.
- E. Stein and R. Shakarchi, *Complex Analysis*, Ch. 2 §3 Thm 3.1.
## Status
Draft while CI verifies the build against current `master` — the file was developed against `v4.28.0` and cherry-picked forward 2942 commits, so import surface changes are possible. Once CI is green I will flip to ready-for-review.
🤖 Generated with [Claude Code](https://claude.com/claude-code) |
t-analysis
new-contributor
|
644/0 |
Mathlib.lean,Mathlib/Analysis/Complex/RectangleResidue.lean |
2 |
2 |
['github-actions'] |
nobody |
37-14670 1 month ago |
unknown |
0-0 0 seconds |
| 39165 |
allenhaozhu author:allenhaozhu |
feat(Probability/Moments): add IsSubExponential class |
Add `ProbabilityTheory.IsSubExponential X μ ν b`, the sub-exponential random variable class: `mgf X μ s ≤ exp (s²ν/2)` for `|s| < 1/b`. Mirror the structure of the existing `Mathlib/Probability/Moments/SubGaussian.lean`. Include constructor lemmas (`IsSubExponential.const`, `mono_b`, `mono_nu`) and a tail bound derived through Mathlib's `measure_ge_le_exp_mul_mgf`.
---
## AI-assistance disclosure
Per the Mathlib [AI-use policy](https://leanprover-community.github.io/contribute/index.html#use-of-ai):
- **Tool.** Claude Code (Anthropic) with the Claude Sonnet 4.6 model.
- **Use.** I specified the target lemma statements and the proof strategy; the assistant drafted Lean 4 tactic combinations against current Mathlib. I iterated on the proofs, verified each lemma builds under `lake build` from a clean checkout, and read the final code.
- **Vouching.** I have read every declaration in this file and can defend the proofs without further AI assistance. I welcome reviewer feedback on naming, namespace placement, and stylistic alignment with the surrounding Mathlib modules. |
t-measure-probability
new-contributor
LLM-generated
awaiting-author
|
257/0 |
Mathlib.lean,Mathlib/Probability/Moments/SubExponential.lean |
2 |
4 |
['allenhaozhu', 'github-actions', 'grunweg'] |
nobody |
36-80493 1 month ago |
38-3736 38 days ago |
0-2698 44 minutes |
| 39168 |
allenhaozhu author:allenhaozhu |
feat(Analysis/Convex/Subgradient): add subgradient characterization for |·| and ℓ¹ |
Add `Convex.IsAbsSubgradient x g`, the predicate that `g` is a subgradient of `|·|` at `x`. Prove the standard characterization: the only subgradient at `x > 0` is `1`; at `x < 0` it is `-1`; at `x = 0` the subgradients are exactly `[-1, 1]`. Add `IsL1Subgradient`, the componentwise lift to `Fin n → ℝ` used by ℓ¹-regularized estimation (Lasso KKT).
---
## AI-assistance disclosure
Per the Mathlib [AI-use policy](https://leanprover-community.github.io/contribute/index.html#use-of-ai):
- **Tool.** Claude Code (Anthropic) with the Claude Sonnet 4.6 model.
- **Use.** I specified the target lemma statements and the proof strategy; the assistant drafted Lean 4 tactic combinations against current Mathlib. I iterated on the proofs, verified each lemma builds under `lake build` from a clean checkout, and read the final code.
- **Vouching.** I have read every declaration in this file and can defend the proofs without further AI assistance. I welcome reviewer feedback on naming, namespace placement, and stylistic alignment with the surrounding Mathlib modules. |
t-analysis
new-contributor
LLM-generated
awaiting-author
|
231/0 |
Mathlib.lean,Mathlib/Analysis/Convex/Subgradient/Abs.lean |
2 |
4 |
['allenhaozhu', 'github-actions', 'grunweg'] |
nobody |
36-80491 1 month ago |
38-3821 38 days ago |
0-2608 43 minutes |
| 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 |
35-66332 1 month ago |
35-66411 35 days ago |
35-66341 35 days |
| 31662 |
edwin1729 author:edwin1729 |
feat(Topology/Order): topological basis of scott topology on Complete… |
…PartialOrder
---
[Zulip discussion](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/.3E.20Algebraic.20complete.20partial.20order.20and.20domain.20theory/with/536359313) for this PR.
(2/5) PRs in domain theory, proving that scott topologies over Algebraic DCPOs (`CompletePartialOrder`) are sober.
The main reference is [Renata, Duality in Domain Theory](https://alyata.github.io/documents/duality_domain_theory.pdf). But the statements can also be found in the canonical text [Abramsky and Jung](https://www.cs.ox.ac.uk/people/samson.abramsky/handbook.pdf)
This first PR proves two prerequisites, namely:
- the specialization order induced by the scott topology corresponds to the existing order of the DCPO. Prop 3.1.5 in [Duality in Domain Theory](https://alyata.github.io/documents/duality_domain_theory.pdf) and Prop 2.3.2(1) in [Abramsky and Jung](https://www.cs.ox.ac.uk/people/samson.abramsky/handbook.pdf)
- the upward closures of compact elements of the DCPO form a topological basis for the Scott Topology. Prop 3.5.2 in [Duality in Domain Theory](https://alyata.github.io/documents/duality_domain_theory.pdf) and Prop 2.3.6(2) in [Abramsky and Jung](https://www.cs.ox.ac.uk/people/samson.abramsky/handbook.pdf)
- [x] depends on: #33061
**The next PR is here:** #31670
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[](https://gitpod.io/from-referrer/)
|
t-topology
new-contributor
awaiting-author
|
165/1 |
Mathlib.lean,Mathlib/Order/CompactlyGenerated/Basic.lean,Mathlib/Topology/Order/ScottTopology.lean,Mathlib/Topology/Order/ScottTopologyDCPO.lean,docs/references.bib |
5 |
99 |
['b-mehta', 'edwin1729', 'github-actions', 'mathlib-merge-conflicts', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot', 'plp127'] |
b-mehta assignee:b-mehta |
35-56843 1 month ago |
43-58279 43 days ago |
64-31147 64 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 |
35-37803 1 month ago |
42-2381 42 days ago |
67-68077 67 days |
| 37666 |
TJHeeringa author:TJHeeringa |
feat(Analysis/InnerProductSpace/Reproducing): Lipschitz wrt the kernel pseudometric |
---
RKHSs $H$ have bounded point evaluations. This induces a pseudometric on the underlying space `X`. The function $f\in H$ are Lipschitz continuous with Lipschitz constant $\||f\||$.
This PR puts the pseudometric instance inline. The instance cannot just be put outside the theorem, because that gives problems with resolving type classes / instance synthesis. An alternative to inlining the instance is a type class synonym. One copy would be the RKHS with whatever metric X came equipped with and one copy would be the RKHS with the induced metric. Since there are likely more theorems depending on this pseudometric, I suspect that it is actually a better solution.
AI:
I had the instance outside the theorem. Lean gave problems with resolving type classes / instance synthesis. I asked Claude and ChatGPT to interpret the error and fix it. The latter just spit gibberish and the former suggested inlining but in a way that didn't work. Then, I asked on Zulip and got the same suggestion but working. The type synonym alternative was also suggested there.
<!-- Your PR title will become the first line of the commit message.
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[](https://gitpod.io/from-referrer/)
|
t-analysis
new-contributor
help-wanted
|
71/6 |
Mathlib/Analysis/InnerProductSpace/Reproducing.lean |
1 |
3 |
['TJHeeringa', 'github-actions'] |
nobody |
34-74008 1 month ago |
unknown |
0-0 0 seconds |
| 33985 |
YellPika author:YellPika |
feat(Order/OmegaCompletePartialOrder): `OmegaCompletePartialOrder` instance for `Sum` with basic `ωScottContinuous` lemmas |
This PR adds an `OmegaCompletePartialOrder` instance for `Sum`, along with `ωScottContinuous` lemmas for basic operations (`inl`, `inr`, `elim`). Appropriate lemmas are marked with `@[fun_prop]` so that the `fun_prop` tactic can automatically deduce `ωScottContinuous` proofs for functions involving `Sum`s (e.g. see the proof of `Sum.ωScottContinuous_map`).
---
- [x] depends on: #33941
- [x] depends on: #37258
<!-- Your PR title will become the first line of the commit message.
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Co-authors in the squash commit are gathered from two sources:
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- ...
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- Nat.bit1_add_bit1
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[](https://gitpod.io/from-referrer/)
|
new-contributor
large-import
t-order
awaiting-author
|
205/3 |
Mathlib/Data/Sum/Basic.lean,Mathlib/Data/Sum/Order.lean,Mathlib/Order/OmegaCompletePartialOrder.lean,Mathlib/Order/ScottContinuity.lean,Mathlib/Topology/Constructions/SumProd.lean |
5 |
58 |
['Komyyy', 'Vierkantor', 'YaelDillies', 'YellPika', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'vihdzp'] |
YaelDillies and pechersky assignee:pechersky assignee:YaelDillies |
34-65337 1 month ago |
75-71147 75 days ago |
52-59724 52 days |
| 37722 |
SabrinaJewson author:SabrinaJewson |
feat(Order/Cover): intervals equal singletons iff |
To complement `Set.Icc_eq_singleton_iff`, this introduces:
- `Set.Ioc_eq_singleton_iff` / `Set.Ico_eq_singleton_iff`
- `Set.Ico_eq_singleton_left_iff` / `Set.Ioc_eq_singleton_right_iff`
- `Set.Ioi_eq_singleton_iff` / `Set.Iio_eq_singleton_iff`
- `Set.Ioi_eq_singleton_top_iff` / `Set.Iio_eq_singleton_bot_iff`
- `Set.Ioo_eq_singleton_iff`
---
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[](https://gitpod.io/from-referrer/)
|
t-order
new-contributor
awaiting-author
maintainer-merge
|
39/0 |
Mathlib/Order/Atoms.lean,Mathlib/Order/Cover.lean |
2 |
16 |
['Komyyy', 'SabrinaJewson', 'github-actions', 'mathlib-merge-conflicts'] |
bryangingechen assignee:bryangingechen |
34-57294 1 month ago |
37-10251 37 days ago |
35-12445 35 days |
| 39393 |
jayscambler author:jayscambler |
feat(GameTheory): von Neumann minimax theorem for finite matrix games |
Adds `Mathlib/GameTheory/MatrixGame.lean`. Resolves the TODO at
`Mathlib/Topology/Sion.lean:48` ("spell out the particular case of
von Neumann theorem") by specialising
`Sion.exists_isSaddlePointOn` to the bilinear payoff
`∑ i j, x i * M i j * y j` on the pair of standard simplices.
Two theorems:
- `Matrix.exists_saddle_point`: existence of a saddle point in
mathlib's `IsSaddlePointOn` convention (`a` minimiser-in-`X`,
`b` maximiser-in-`Y`).
- `Matrix.exists_mixedNash`: existence of a mixed Nash equilibrium
in the textbook matrix-game orientation (row player maximises,
column player minimises). Proved by applying Sion to `-payoff M`.
Both forms are useful: the first matches mathlib's existing
saddle-point machinery, and the second is the statement most
game-theory texts use directly.
Supporting lemmas: continuity of the payoff in each argument
(linear in each), and quasi-convexity / quasi-concavity from
`LinearMap.convexOn` / `LinearMap.concaveOn`. The simplex
hypotheses for Sion (`Convex`, `IsCompact`, `Nonempty`) come from
existing mathlib lemmas (`convex_stdSimplex`,
`isCompact_stdSimplex`, `single_mem_stdSimplex`).
Creates a new top-level `Mathlib/GameTheory/` directory; mathlib
currently has none. A natural follow-up would be a
`Mathlib/GameTheory/NormalForm.lean` for general n-player
normal-form games and pure Nash equilibrium.
**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) |
t-topology
new-contributor
LLM-generated
|
216/2 |
Mathlib.lean,Mathlib/GameTheory/MatrixGame.lean,Mathlib/Topology/Sion.lean |
3 |
3 |
['github-actions', 'vihdzp'] |
nobody |
34-12161 1 month ago |
34-46091 34 days ago |
0-355 5 minutes |
| 22925 |
ggranberry author:ggranberry |
feat(Mathlib/PlaceHolder/ToeplitzHausdorff): Toeplitz-Hausdorff |
---
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PR is merged. Please leave a blank newline before the `---`, otherwise
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(that is, before the `---`) using the following format:
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[](https://gitpod.io/from-referrer/)
|
WIP
new-contributor
will-close-soon
awaiting-author
help-wanted
t-analysis
|
411/0 |
Mathlib/PlaceHolder/ToeplitzHausdorff.lean,Mathlib/PlaceHolder/ToeplitzHausdorff_v2.lean |
2 |
16 |
['AntoineChambert-Loir', 'faenuccio', 'ggranberry', 'github-actions', 'vihdzp'] |
faenuccio assignee:faenuccio |
33-77088 1 month ago |
457-68597 457 days ago |
3-8649 3 days |
| 39270 |
m13683320924-hue author:m13683320924-hue |
feat: prove strict group homs are stable under Prod.map |
This PR proves that strict group homomorphisms are stable under product maps.
It adds an auxiliary lemma showing that the range restriction of a strict group homomorphism is an open quotient map, and uses it to prove that `MonoidHom.prodMap` preserves `Topology.IsStrictMap`.
Towards #38421.
|
t-topology
new-contributor
|
44/0 |
Mathlib/Topology/Algebra/Group/Basic.lean |
1 |
7 |
['eric-wieser', 'github-actions', 'm13683320924-hue'] |
nobody |
33-61441 1 month ago |
36-50855 36 days ago |
0-1401 23 minutes |
| 39456 |
BMMilligan1 author:BMMilligan1 |
feat(Probability/PMF): advantageFromHalf for Bool-valued PMFs |
This PR adds `PMF.advantageFromHalf : PMF Bool → ℝ`, defined as
`2 * (p true).toReal - 1`, together with API lemmas covering bounds
(`_le_one`, `_neg_one_le`), the zero-advantage characterization
(`_eq_zero_iff_half`), `PMF.map` composition (`_map_tsum`), and
canonical witness evaluations on `uniformOfFintype Bool`,
`pure true`, and `pure false`.
## Motivation
The "advantage from half" of a Bernoulli-like distribution is the signed
gap of the `true`-probability away from `1/2`, rescaled to `[-1, 1]`.
It is the natural decision-algorithm advantage notion in computational
complexity: when a heuristic `H : α → Bool` is post-composed with a
`PMF α` via `PMF.map`, the resulting `PMF Bool`'s `advantageFromHalf`
is the advantage of `H` as a decision procedure on the source
distribution.
Concretely, the definition supports formalizations of Hirahara 2018
(FOCS, [arXiv:1808.06974](https://arxiv.org/abs/1808.06974))
Theorem 1.1's worst-case-to-average-case reduction for Gap-MCSP,
where the heuristic algorithm's advantage `ε(n) = 1/poly(n)` over
the uniform truth-table distribution is the load-bearing quantity.
The current Mathlib `PMF` library supports `PMF.uniformOfFintype`
(see `Mathlib/Probability/Distributions/Uniform.lean`) but lacks
the bias-from-half notion at this signature.
## API summary
- `PMF.advantageFromHalf : PMF Bool → ℝ`
- `PMF.advantageFromHalf_le_one` (`@[simp]`)
- `PMF.advantageFromHalf_neg_one_le` (`@[simp]`)
- `PMF.advantageFromHalf_eq_zero_iff_half`
- `PMF.advantageFromHalf_map_tsum`
- `PMF.advantageFromHalf_uniformBool` (witness: advantage 0)
- `PMF.advantageFromHalf_pure_true` (witness: advantage 1)
- `PMF.advantageFromHalf_pure_false` (witness: advantage -1)
## Notes
* The file lives at `Mathlib/Probability/ProbabilityMassFunction/Advantage.lean`,
alphabetically before `Basic.lean`, and is imported in `Mathlib.lean`
at the corresponding alphabetical position.
* All proofs are sorry-free.
* The definition is `noncomputable` (matches `PMF` style; `(p true).toReal`
threading through `ENNReal`).
* No new imports outside the existing PMF / ENNReal substrate.
* Maintainer review of the naming (`advantageFromHalf` vs alternative
candidates like `biasFromHalf`) and of whether the `tsum`-form
composition lemma should be supplemented by a `Finset.sum` variant
for `Fintype` sources is most welcome.
Co-authored-by: Claude Opus 4.7 (1M context) <noreply@anthropic.com>
|
t-measure-probability
new-contributor
|
120/0 |
Mathlib.lean,Mathlib/Probability/ProbabilityMassFunction/Advantage.lean |
2 |
2 |
['github-actions'] |
nobody |
33-29397 1 month ago |
unknown |
0-0 0 seconds |
| 37010 |
pion2024 author:pion2024 |
`Sl2`update: add theorem `finrank_weightSpace_eq_one_of_isIrreducible` |
# Background:
I am a 2nd year undergrad student in mathematics currently self-teaching Lie algebra and representation theory.
Before starting the formalization, I searched for related keywords on Zulip and in the GitHub issues and commits. As far as I could tell, there were no existing results or ongoing attempts before I started.
All feedback is welcome. Even a quick check on the statement design/an idea on the generalization (cf Limitations below) would be incredibly helpful.
# Overview
In this PR, I added the new section `IsAlgClosedIrreducible` which formalizes the well-known theorem `finrank_weightSpace_eq_one_of_isIrreducible` for the Lie algebra $\mathfrak{sl}_2$ step by step. It proves that for a finite-dimensional irreducible representation of $\mathfrak{sl}_2$ over an algebraically closed field $K$ of characteristic zero, every non-trivial weight space has a dimension of exactly 1.
# Formalization Structure :
Instead of relying on explicit finite sums (`Finset.sum`) and manipulating coefficients, I heavily leverage Mathlib's abstractions in Submodule Lattice Theory and Coordinate-free Linear Algebra. The formalization proceeds in the following logic:
1. Existence of a Primitive Vector (`exists_primitiveVector`): I construct a primitive (highest-weight) vector by showing that repeated applications of the raising operator $e$ must eventually yield zero due to the finite-dimensionality of $M$ and the linear independence of eigenvectors corresponding to distinct eigenvalues.
2. The span of $f$-Tower as a Lie Submodule equals to the whole space (`fTowerLieSubmodule_eq_top`): I define the $f$-tower submodule as the $K$-span of $\{f^k m \mid k \in \mathbb{N}\}$. By proving its closure under the action of $f, h$, and $e$, I establish it as a Lie submodule. Since $M$ is irreducible, this submodule must be the entire space ($\top$).
3. Submodule Lattice Operations (`exists_mem_fTower_of_weightSpace_ne_bot`): To prove that every weight in $M$ is of the form $\mu_0 - 2k$, I use lattice operations (iSup, inf, and Disjoint) to avoid element-wise tracking. Since the $f$-tower spans $M$, the supremum of its weight spaces is $\top$. By leveraging `Module.End.eigenspaces_iSupIndep`, I show that any arbitrary non-trivial weight space would have a trivial intersection with $\top$ if its weight didn't belong to the sequence, yielding a contradiction.
4. Dimension Calculation via Basis Equivalence (`finrank_weightSpace_eq_one_of_isIrreducible`): Finally, I construct a basis from the non-zero elements of the $f$-tower. To show the weight space is 1-dimensional, I use `Basis.equivFun` to compare coefficients algebraically. This avoids heavy manual indexing and index-shifting, proving that any vector in the weight space $\mu_0 - 2k$ is merely a scalar multiple of $f^k m$.
# Use of AI:
I used Gemini 3.1 Pro for tactics, theorems, improvement suggestions, and error explanations. I fully understand and can vouch for all the modifications I have made to the file.
# Limitations:
I only managed to formalize the finite-dimensional version, although the theorem also holds in the infinite-dimensional case. In the infinite case the existence of a primitive vector is not guaranteed. A quick search suggests that we might need heavy tools like Casimir operators and the universal enveloping algebra, which are totally beyond my current level. I am looking into it, but since there is a significant mathematical gap, I thought it would be best to get this finite-dimensional version merged first. |
new-contributor
t-algebra
large-import
awaiting-author
merge-conflict
label:t-algebra$ |
336/0 |
Mathlib/Algebra/Lie/Sl2.lean |
1 |
11 |
['github-actions', 'mathlib-bors', 'mathlib-merge-conflicts', 'ocfnash', 'pion2024'] |
ocfnash assignee:ocfnash |
31-186 1 month ago |
77-67223 77 days ago |
2-57577 2 days |
| 36832 |
KryptosAI author:KryptosAI |
chore(Data/Finset/Card): rename `pred_card_le_card_erase` to `sub_one_card_le_card_erase` |
## Summary
The name `pred_card_le_card_erase` suggests `Nat.pred` but the statement uses `- 1` (i.e., `Nat.sub 1`). Rename to `sub_one_card_le_card_erase` to match the actual statement.
A deprecated alias is added for backwards compatibility.
### Files changed
- `Mathlib/Data/Finset/Card.lean` — definition renamed + deprecated alias
- `Mathlib/Data/Finset/Powerset.lean` — reference updated
- `Mathlib/Combinatorics/Additive/SubsetSum.lean` — reference updated
- `Mathlib/Algebra/Polynomial/EraseLead.lean` — reference updated
Addresses the `Finset.pred_card_le_card_erase` item in #21584.
## AI disclosure
I used Claude Code to explore the codebase (finding all references to rename) and to draft the PR description. I reviewed and understand all changes — these are straightforward renames with a deprecated alias. |
new-contributor
awaiting-author
|
22/15 |
Mathlib/Algebra/Polynomial/EraseLead.lean,Mathlib/Combinatorics/Additive/SubsetSum.lean,Mathlib/Combinatorics/SetFamily/AhlswedeZhang.lean,Mathlib/Combinatorics/SetFamily/Shadow.lean,Mathlib/Data/Finset/Card.lean,Mathlib/Data/Finset/Powerset.lean,Mathlib/Data/Set/Card.lean,Mathlib/GroupTheory/Perm/Support.lean,Mathlib/RingTheory/Ideal/Operations.lean |
9 |
8 |
['KryptosAI', 'Multramate', 'dagurtomas', 'github-actions', 'mattrobball', 'ooovi'] |
nobody |
30-79030 30 days ago |
30-79030 30 days ago |
59-48094 59 days |
| 39216 |
emlis42 author:emlis42 |
feat(Topology/Algebra/InfiniteSum): add `limUnder_eq_tprod` |
This PR adds `limUnder_eq_tprod` and `limUnder_eq_tsum`. |
t-topology
new-contributor
|
10/0 |
Mathlib/Topology/Algebra/InfiniteSum/Defs.lean |
1 |
6 |
['SnirBroshi', 'emlis42', 'github-actions', 'grunweg', 'mathlib-bors'] |
urkud assignee:urkud |
30-66813 30 days ago |
30-66815 30 days ago |
6-79087 6 days |
| 32555 |
ksenono author:ksenono |
feat(Combinatorics/SimpleGraph/Matching): maximum and maximal matchings for Konig's theorem |
---
<!-- Your PR title will become the first line of the commit message.
definitions and existence of maximum/maximal matchings in simple graphs.
-->
[](https://gitpod.io/from-referrer/)
|
t-combinatorics
new-contributor
awaiting-author
|
112/0 |
Mathlib/Combinatorics/SimpleGraph/DegreeSum.lean,Mathlib/Combinatorics/SimpleGraph/Matching.lean |
2 |
46 |
['SnirBroshi', 'SproutSeeds', 'YaelDillies', 'b-mehta', 'github-actions', 'jcommelin', 'ksenono'] |
YaelDillies assignee:YaelDillies |
30-66252 30 days ago |
30-80411 30 days ago |
130-57925 130 days |
| 37584 |
kennethgoodman author:kennethgoodman |
feat(Data/Nat/Fib): formalize Lamé's theorem |
## Summary
Formalize [Lamé's theorem](https://en.wikipedia.org/wiki/Lam%C3%A9%27s_theorem) (1844), the founding result of computational complexity theory.
**Lamé's Theorem:** If the Euclidean algorithm on inputs `(a, b)` with `b ≤ a` takes `n + 1` division steps, then `b ≥ fib(n + 1)` and `a ≥ fib(n + 2)`.
### New definitions
- `Nat.euclidSteps`: counts the number of division steps in the Euclidean algorithm on natural number inputs.
### New theorems
- `Nat.fib_le_of_euclidSteps`: the main Lamé bound — Fibonacci lower bound on inputs given a step count.
- `Nat.euclidSteps_le_of_lt_fib`: the contrapositive — step count upper bound given a Fibonacci bound on the smaller input.
- `Nat.add_mod_le`: helper lemma that `b + a % b ≤ a` when `b ≤ a` and `0 < b`.
### Proof strategy
Induction on `n`, tracking both elements of the pair. The key insight is that each Euclidean step replaces `(a, b)` with `(b, a % b)`, and since `a ≥ b + a % b` (because `a / b ≥ 1`), the Fibonacci recurrence `fib(n+3) = fib(n+2) + fib(n+1)` matches the structure of the algorithm.
### References
- Gabriel Lamé, *Note sur la limite du nombre des divisions dans la recherche du plus grand commun diviseur entre deux nombres entiers*, Comptes rendus de l'Académie des sciences, 1844.
---
### AI usage disclosure
Per the [Mathlib AI guidelines](https://leanprover-community.github.io/contribute/index.html#use-of-ai): Claude Code (Claude Opus 4.6) was used to assist with writing the Lean 4 proof code, fixing tactic errors, and drafting this PR description. The mathematical proof (induction on step count, tracking both pair elements through the Fibonacci recurrence) was designed by hand and verified on paper before formalization. I have reviewed and understand every line of the resulting Lean code and can explain all proof steps.
---
- [x] builds cleanly (`lake build Mathlib.Data.Nat.Fib.Lame`)
- [x] no `sorry`
- [x] lines ≤ 100 characters, no trailing whitespace
- [x] `autoImplicit false`
- [x] docstrings on all public declarations |
new-contributor
LLM-generated
t-data
merge-conflict
|
121/0 |
Mathlib.lean,Mathlib/Data/Nat/Basic.lean,Mathlib/Data/Nat/Fib/Basic.lean,Mathlib/Data/Nat/Fib/Lame.lean,docs/1000.yaml |
5 |
25 |
['euprunin', 'github-actions', 'kennethgoodman', 'mathlib-merge-conflicts', 'vihdzp', 'wwylele'] |
TwoFX assignee:TwoFX |
30-53124 30 days ago |
30-53125 30 days ago |
44-66371 44 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.
---
<!-- The text above the `---` will become the commit message when your
PR is merged. Please leave a blank newline before the `---`, otherwise
GitHub will format the text above it as a title.
For details on the "pull request lifecycle" in mathlib, please see:
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In particular, note that most reviewers will only notice your PR
if it passes the continuous integration checks.
Please ask for help on https://leanprover.zulipchat.com if needed.
To indicate co-authors, include at least one commit authored by each
co-author among the commits in the pull request. If necessary, you may
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When merging, all the commits will be squashed into a single commit listing all co-authors.
If you are moving or deleting declarations, please include these lines at the bottom of the commit message
(that is, before the `---`) using the following format:
Moves:
- Vector.* -> List.Vector.*
- ...
Deletions:
- Nat.bit1_add_bit1
- ...
Any other comments you want to keep out of the PR commit should go
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If this PR depends on other PRs, please list them below this comment,
using the following format:
- [ ] depends on: #abc [optional extra text]
- [ ] depends on: #xyz [optional extra text]
-->
[](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 |
30-34214 30 days ago |
76-3599 76 days ago |
133-72906 133 days |
| 36274 |
JTylM author:JTylM |
feat(Combinatorics/SimpleGraph/Matching): implemented the matchingNumber of a graph |
---
- [ ] depends on: #36406
- [ ] depends on: #32555
I implemented the matchingNumber as described in the issue and proved some statements including
showing that there exists a matching achieving the matchingNumber.
matchingNumber is increasing under injective maps
matchingNumber is equal under isomorphisms
matchingNumber of a matching is the cardinality of the matching
This is my first PR and i had some trouble with some of the proofs, especially with the proof for matchingNumber.isAttained. So any suggestions on how to make the proofs shorter would be welcome. Also i was not sure about the naming of some of the theorems so i would apprechiate feedback here as well.
|
new-contributor
t-combinatorics
blocked-by-other-PR
merge-conflict
|
292/2 |
Mathlib/Combinatorics/SimpleGraph/Matching.lean |
1 |
40 |
['JTylM', 'SnirBroshi', 'SproutSeeds', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'vlad902'] |
nobody |
30-32974 30 days ago |
90-73041 90 days ago |
9-69432 9 days |
| 39569 |
AlexBrodbelt author:AlexBrodbelt |
feat(Mathlib/Data/Finite/Units): Units are (in)finite if type is (in)finite |
Shows
- [ ] depends on: #39568
- [ ] depends on: #39567
---
<!-- Your PR title will become the first line of the commit message.
In this box, the text above the `---` (if not empty) will be appended
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For details on the "pull request lifecycle" in mathlib, please see:
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In particular, note that most reviewers will only notice your PR
if it passes the continuous integration checks.
Please ask for help on https://leanprover.zulipchat.com if needed.
When merging, all the commits will be squashed into a single commit
listing all co-authors.
Co-authors in the squash commit are gathered from two sources:
First, all authors of commits to this PR branch are included. Thus,
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Co-authored-by: Author Name <author@email.com>
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at the bottom of the commit message (before the `---`, and also before
any "Co-authored-by" lines) using the following format:
Moves:
- Vector.* -> List.Vector.*
- ...
Deletions:
- Nat.bit1_add_bit1
- ...
Any other comments you want to keep out of the PR commit should go
below the `---`, and placed outside this HTML comment, or else they
will be invisible to reviewers.
If this PR depends on other PRs, please list them below this comment,
using the following format:
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- [ ] depends on: #xyz [optional extra text]
-->
[](https://gitpod.io/from-referrer/)
|
blocked-by-other-PR
t-data
new-contributor
|
75/0 |
Mathlib.lean,Mathlib/Data/Finite/Option.lean,Mathlib/Data/Finite/Subtype.lean,Mathlib/Data/Finite/Units.lean |
4 |
3 |
['github-actions', 'mathlib-dependent-issues'] |
nobody |
29-80534 29 days ago |
30-19 29 days ago |
0-121 2 minutes |
| 39568 |
AlexBrodbelt author:AlexBrodbelt |
feat(Mathlib/Data/Finite/Subtype): Subtype of elements not equal to a term is finite iff type is finite |
Subtype of terms not equal to a term is finite iff type is finite.
This is an intermediate result to prove that if a `GroupWithZero` is (in)finite then the `Units` are (in)finite.
- [ ] depends on: #39567 [shows option type is finite iff type is finite]
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[](https://gitpod.io/from-referrer/)
|
t-data
new-contributor
blocked-by-other-PR
|
45/0 |
Mathlib.lean,Mathlib/Data/Finite/Option.lean,Mathlib/Data/Finite/Subtype.lean |
3 |
5 |
['AlexBrodbelt', 'github-actions', 'mathlib-dependent-issues', 'themathqueen'] |
nobody |
29-70170 29 days ago |
29-85760 29 days ago |
0-2171 36 minutes |
| 33786 |
hdmkindom author:hdmkindom |
feat(Analysis/Matrix): add Jacobian matrix for matrix-valued functions |
This PR introduces the Jacobian matrix for matrix-valued functions `F : Matrix m n 𝕜 → Matrix p q 𝕜`.
The Jacobian matrix `jacobianMatrix F X` at point `X` is indexed by `(p × q) × (m × n)`, where each entry represents the partial derivative with respect to a basis element. To handle instance-mismatch issues with matrix norms, we use local Frobenius norm instances.
This PR adds the new file:
'Analysis/Matrix/Jacobian.lean'
## Main definitions
- `jacobianMatrix F X`: The Jacobian matrix at point `X`, defined by `jacobianMatrix F X (i, k) (j, l) = (fderiv ℝ F X (Matrix.single j l 1)) i k`
## Main theorems
- `fderiv_eq_jacobian_mul`: Express the Fréchet derivative as a contraction with the Jacobian
- `jacobianMatrix_comp`: Chain rule for Jacobian matrices
- `jacobianMatrix_linear`, `jacobianMatrix_id`, `jacobianMatrix_const`: Basic properties
- `jacobianMatrix_add`, `jacobianMatrix_smul`: Linearity properties
|
t-analysis
new-contributor
awaiting-author
|
174/0 |
Mathlib.lean,Mathlib/Analysis/Matrix/Jacobian.lean |
2 |
21 |
['erdOne', 'github-actions', 'hdmkindom', 'jcommelin'] |
sgouezel assignee:sgouezel |
29-62972 29 days ago |
120-69414 120 days ago |
39-35999 39 days |
| 34703 |
martinwintermath author:martinwintermath |
Generalizing orthogonalBilin |
---
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[](https://gitpod.io/from-referrer/)
|
new-contributor
merge-conflict
|
51/25 |
Mathlib/Analysis/InnerProductSpace/Orthogonal.lean,Mathlib/LinearAlgebra/QuadraticForm/Basic.lean,Mathlib/LinearAlgebra/SesquilinearForm/Basic.lean |
3 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
29-29130 29 days ago |
unknown |
0-0 0 seconds |
| 39607 |
TentativeConvert author:TentativeConvert |
feat(Algebra/DirectSum): equivalence between direct sum indexed by ι₁ and double sum indexed by ι₂ and fibres of f : ι₁ → ι₂ |
1. Add variant `equivCongrLeft'` of `equivCongrLeft`, and corresponding `…_apply` lemma.
2. Add `…_of lemmas` for both `equivCongrLeft` and `equivCongrLeft'`.
3. Add `…of lemma` for `sigmaCurry`, i.e. `sigmaCurry_of`.
4. Add `sigmaFiberAddEquiv`: the equivalence between a direct sum indexed by a type `ι₁` and the double sum indexed by a type `ι₂` and the fibres of a map `f : ι₁ → ι₂`. Add two `…_apply` lemmas and an `…_of` lemma.
---
This is supposed to be a first step towards merging the draft PR #39356.
re 1: Mathematically, I don't see why one version should be preferred over the other, but I found the existing `equivCongrLeft` more difficult to work with when the equivalence `h : ι ≃ κ` is naturally given in the opposite direction. (I could not avoid explicit type casts through the equality `h.symm.symm = h` when defining `sigmaFiberAddEquiv` in terms of `equivCongrLeft`.)
Very unsure about the name of `equivCongrLeft'`. (I see that the name `equivCongrLeft` was chosen in analogy with `Equiv.piCongrLeft`. `Equiv.piCongrRight` looks very different, so presumably `equivCongrLeft'` should *not* be called `equivCongrRight`.)
re 4: Very unsure about the naming of the two different `…_apply` lemmas; called them `…_apply` and `…_apply'` for now. The second (`…_apply'`) cannot be a `simp` lemma as it would prevent the first (`…_apply`) from firing.
I've used Claude Opus for understanding error messages and git interaction, but everything is hand coded.
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[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
label:t-algebra$ |
66/1 |
Mathlib/Algebra/DirectSum/Basic.lean |
1 |
3 |
['github-actions'] |
nobody |
28-72703 28 days ago |
28-85256 28 days ago |
28-86326 28 days |
| 33714 |
idontgetoutmuch author:idontgetoutmuch |
feat(Mathlib/Geometry/Manifold): Riemannian metrics exist II |
Supersedes https://github.com/leanprover-community/mathlib4/pull/33519
---
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[](https://gitpod.io/from-referrer/)
|
t-differential-geometry
new-contributor
|
723/0 |
Mathlib.lean,Mathlib/Algebra/BigOperators/Finprod.lean,Mathlib/Geometry/Manifold/ExistsRiemannianMetric.lean,Mathlib/Geometry/Manifold/PartitionOfUnity.lean |
4 |
200 |
['Rida-Hamadani', 'github-actions', 'grunweg', 'idontgetoutmuch'] |
nobody |
28-34212 28 days ago |
59-73763 59 days ago |
104-80186 104 days |
| 35504 |
JoaBjo author:JoaBjo |
feat(Probability/Distributions/Exponential): add MGF, moments, and memoryless property |
feat(Probability/Distributions/Exponential): add MGF, moments, and memoryless property
Add the main analytic results for the exponential distribution:
- moment-generating function `mgf id (expMeasure r) t = r / (r - t)` for `t < r`
- mean `∫ x, x ∂(expMeasure r) = r⁻¹`
- variance `Var[id; expMeasure r] = r⁻¹ ^ 2`
- `ℒp` membership for all `p`
- tail probability `P(X > x) = exp (-(r * x))`
- memoryless property `P(X > s + t | X > s) = P(X > t)`
The MGF is computed by reducing to the known improper integral `∫ exp(c * x)` on `Ioi`,
and integrability is deduced by contradiction from the positive closed-form value.
The mean and variance are computed via the Gamma function integral
`∫₀^∞ x^(n-1) exp(-r x) dx = Γ(n) / rⁿ`. The memoryless property follows from
the exponential identity `exp(-(r(s+t))) = exp(-rt) * exp(-rs)`.
---
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[](https://gitpod.io/from-referrer/)
|
new-contributor
t-measure-probability
awaiting-author
|
200/0 |
Mathlib/Probability/Distributions/Exponential.lean |
1 |
7 |
['EtienneC30', 'JoaBjo', 'Timeroot', 'github-actions'] |
EtienneC30 assignee:EtienneC30 |
27-72468 27 days ago |
27-72469 27 days ago |
42-10925 42 days |
| 39586 |
thomaskwaring author:thomaskwaring |
feat: GraphLike typeclass |
A proposal for a typeclass representing `GraphLike` objects. This is axiomatised in terms of a relations `IsSource` and `IsTarget` between edges and vertices, as well as `IsLink` to represent walks of length one.
[](https://gitpod.io/from-referrer/)
|
t-combinatorics
new-contributor
|
539/0 |
Mathlib/Combinatorics/GraphLike/Basic.lean,Mathlib/Combinatorics/GraphLike/Walk.lean |
2 |
4 |
['SnirBroshi', 'eric-wieser', 'github-actions'] |
nobody |
27-69814 27 days ago |
unknown |
0-0 0 seconds |
| 39673 |
drocta author:drocta |
feat: add instances of MetricSpace, NormedAddGroup, and NormedAddCommGroup for DirectLimit |
add files `Topology/MetricSpace/DirectLimit.lean` (with an instance of `MetricSpace` for a `DirectLimit` of a directed system of `MetricSpace`s with `IsometryClass` map types between them) and `Analysis/Normed/Group/DirectLimit.lean` (with instances of `NormedAddGroup` and `NormedAddCommGroup` on `DirectLimit`)
also lemmas `dist_def` and `norm_def` for these.
---
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This PR is part of a project of adding support for 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 uses `IsometryClass` to implement the requirement that the directed systems preserve the `Norm` on the `NormedAddGroup`s, following the advice I got [this Zulip thread](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Representing.20norm-preservation.20for.20directed.20systems.3F/with/595941824) .
Use of AI:
I again used ChatGPT a bit for some advice when writing this (for example, for ideas for simplifying parts of proofs that I suspected could be simpler/shorter, and for advice on which of a couple options would be more idiomatic).
I can personally vouch for all of these contributions, and that I understand this code.
|
t-topology
new-contributor
awaiting-author
|
258/0 |
Mathlib.lean,Mathlib/Analysis/Normed/Group/DirectLimit.lean,Mathlib/Analysis/Normed/Ring/DirectLimit.lean,Mathlib/Topology/MetricSpace/DirectLimit.lean |
4 |
23 |
['drocta', 'eric-wieser', 'github-actions', 'j-loreaux'] |
nobody |
27-17043 27 days ago |
27-30513 27 days ago |
0-14741 4 hours |
| 39356 |
TentativeConvert author:TentativeConvert |
pushforward of gradings along map between indexing sets |
Pushforward of grading along map between indexing sets
The main result of #36501 is that the quotient of a graded algebra by a homogeneous relation inherits a grading.
This draft complements #36501 with the result that the grading on a graded algebra can be changed by "pushing forward" along an additive map of additive monoids. For example, an ℕ-grading can be turned into a ℤ-grading by pushing forward along the inclusion ℕ → ℤ, or collapsed to an even/odd-grading by pushing forward along the projection ℤ → ZMod 2. This result is currently in [`RingTheory/GradedAlgebra/Map/DecompositionMap_SetLike.lean`](https://github.com/TentativeConvert/mathlib4/blob/f4e54e0ec25f44c5d373e355e9926481e3102ccd/Mathlib/RingTheory/GradedAlgebra/Map/DecompositionMap_SetLike.lean).
The changes to [`Mathlib/LinearAlgebra/CliffordAlgebra/Grading.lean`](https://github.com/TentativeConvert/mathlib4/blob/f4e54e0ec25f44c5d373e355e9926481e3102ccd/Mathlib/LinearAlgebra/CliffordAlgebra/Grading.lean) illustrate how the two results can be combined to give a new construction of the grading on the Clifford algebra: First, the grading on the tensor algebra is collapsed to an even/odd grading. With respect to this grading, the Clifford relation is homogeneous. The Clifford algebra is the quotient of the tensor algebra by the Clifford relation, so we obtain an induced grading on the Clifford algebra.
Notes: This draft includes all of #36501, as this is necessary to demonstrate the application to Clifford algebras. Most of the changes shown below are from that PR. (I don't know how to include that PR and highlight only the changes made on top of it here.)
---
- [ ] depends on: #36501
[](https://gitpod.io/from-referrer/)
|
t-algebraic-geometry
new-contributor
blocked-by-other-PR
merge-conflict
|
1303/46 |
Mathlib.lean,Mathlib/Algebra/BigOperators/Group/Finset/Basic.lean,Mathlib/Algebra/DirectSum/Decomposition.lean,Mathlib/AlgebraicGeometry/ProjectiveSpectrum/Basic.lean,Mathlib/AlgebraicGeometry/ProjectiveSpectrum/Scheme.lean,Mathlib/Data/DFinsupp/BigOperators.lean,Mathlib/LinearAlgebra/CliffordAlgebra/Conjugation.lean,Mathlib/LinearAlgebra/CliffordAlgebra/EvenEquiv.lean,Mathlib/LinearAlgebra/CliffordAlgebra/Grading.lean,Mathlib/LinearAlgebra/CliffordAlgebra/Prod.lean,Mathlib/LinearAlgebra/TensorAlgebra/Grading.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/GradedAlgebra/Map/AddSubmonoidSSup.lean,Mathlib/RingTheory/GradedAlgebra/Map/DecompositionMap_SetLike.lean,Mathlib/RingTheory/GradedAlgebra/Map/Tests.lean,Mathlib/RingTheory/GradedAlgebra/Map/auxiliary.lean,Mathlib/RingTheory/GradedAlgebra/Map/locations.md,Mathlib/RingTheory/GradedAlgebra/Map/order-preserving-maps.md,Mathlib/RingTheory/Ideal/Span.lean |
22 |
4 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
27-8304 27 days ago |
unknown |
0-0 0 seconds |
| 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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[](https://gitpod.io/from-referrer/)
|
new-contributor
t-algebra
label:t-algebra$ |
56/0 |
Mathlib.lean,Mathlib/Algebra/Group/Submonoid/SSup.lean |
2 |
2 |
['github-actions'] |
nobody |
27-2605 27 days ago |
27-2674 27 days ago |
27-2714 27 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 |
26-34214 26 days ago |
112-60069 112 days ago |
115-7395 115 days |
| 39734 |
allenhaozhu author:allenhaozhu |
feat(Analysis/CStarAlgebra/CStarMatrix): operator-monotone rpow/log/sqrt specializations |
Adds three discoverability lemmas for operator-monotonicity on `CStarMatrix n n A`, specializing the existing C\*-algebra-level results from `CFC.monotone_rpow` / `CFC.log_monotoneOn` / `CFC.monotone_sqrt`:
```
CStarMatrix.monotone_rpow {p : ℝ} (hp : p ∈ Set.Icc 0 1) :
Monotone (fun M : CStarMatrix n n A => M ^ p)
CStarMatrix.log_monotoneOn :
MonotoneOn (CFC.log : CStarMatrix n n A → CStarMatrix n n A)
{M | IsStrictlyPositive M}
CStarMatrix.monotone_sqrt :
Monotone (CFC.sqrt : CStarMatrix n n A → CStarMatrix n n A)
```
In the course of implementing these specializations, three shortcut instances are also registered to bypass a typeclass-diamond issue. `CStarMatrix n n A` derives `CStarAlgebra` from the underlying `CStarAlgebra A`, but the typeclass search for `ContinuousFunctionalCalculus ℝ (CStarMatrix n n A) IsSelfAdjoint` does not find the path through the `Matrix` diamond automatically. Explicit shortcut instances enable ergonomic use of `CFC.rpow`, `CFC.log`, etc.:
```
instance instContinuousFunctionalCalculusRealIsSelfAdjoint
instance instNonUnitalContinuousFunctionalCalculusRealIsSelfAdjoint
instance instNonnegSpectrumClassReal
```
**Reviewer note:** I am NOT attached to this PR — if reviewers prefer that downstream users call `CFC.monotone_rpow` directly and accept the typeclass-search cost, please close. The PR is offered as a convenience on the assumption that matrix-shaped users may search the matrix namespace first and benefit from the diamond shortcut. The shortcut instances may also belong in a separate PR if reviewers prefer.
Extracted from LTFP-Lean (mechanical formalization of Bach's *Learning Theory from First Principles*), where matrix-side ergonomics matter for downstream proofs.
---
## AI-assistance disclosure
Per the Mathlib [AI-use policy](https://leanprover-community.github.io/contribute/index.html#use-of-ai):
- **Tool.** Claude Code (Anthropic) with the Claude Opus 4.7 model.
- **Use.** I specified the three target specialization lemmas. The assistant placed them in the right file, discovered the typeclass-diamond issue while implementing (adding 3 shortcut instances to resolve it), drafted the proofs, and verified the build under `lake build Mathlib.Analysis.CStarAlgebra.CStarMatrix.OperatorMonotone`. I reviewed the final code.
- **Vouching.** I have read the declarations and can defend the proofs without further AI assistance. I welcome reviewer feedback on:
- whether the three specialization lemmas justify their own file or should be merged into `CStarMatrix.lean`
- whether the typeclass-diamond shortcut instances belong in this PR or a separate one
- whether the convenience-layer is justified at all vs. having downstream users call `CFC.*` directly |
t-analysis
new-contributor
LLM-generated
|
101/0 |
Mathlib.lean,Mathlib/Analysis/CStarAlgebra/CStarMatrix/OperatorMonotone.lean |
2 |
2 |
['github-actions'] |
nobody |
26-8529 26 days ago |
unknown |
0-0 0 seconds |
| 39733 |
allenhaozhu author:allenhaozhu |
feat(LinearAlgebra/Matrix): nonsingular inverse commutes with any monoid hom of matrix rings |
Adds `Matrix.map_nonsing_inv`: for any `MonoidHomClass` morphism `f : Matrix n n R →* Matrix n n S` between matrix rings over commutative rings, and any `A : Matrix n n R` with `IsUnit A.det`,
```
(f A)⁻¹ = f A⁻¹
```
The proof is short: `Matrix.inv_eq_right_inv` plus the fact that `f` preserves `*` and `1`:
```lean
theorem map_nonsing_inv (f : F) {A : Matrix n n R} (hA : IsUnit A.det) :
(f A)⁻¹ = f A⁻¹ := by
apply Matrix.inv_eq_right_inv
rw [← map_mul, Matrix.mul_nonsing_inv A hA, map_one]
```
Since `RingHom`, `RingEquiv`, `AlgHom`, `AlgEquiv`, and `StarAlgEquiv` between matrix rings all provide `MonoidHomClass` instances, the lemma applies uniformly to all of them — in particular to `Unitary.conjStarAlgAut`-style conjugations by a unitary matrix, which is the original motivating use case.
This came up in a downstream project (mechanical formalization of Bach's *Learning Theory from First Principles*), where it underpins a spectral-identity proof: `(U * X * star U)⁻¹ = U * X⁻¹ * star U` for unitary `U` and invertible `X`. Rather than special-case the unitary-conjugation version, I generalized to any `MonoidHomClass` since the proof works mechanically.
### Why not just `map_inv`?
The generic `map_inv` discharges `⁻¹` through a `MonoidHom` between groups, but `Matrix n n R` is not a group under multiplication — `⁻¹` here is `Matrix.nonsing_inv` (adjugate / det), which is only a two-sided inverse on the submonoid of nonsingular matrices. So `map_inv` doesn't apply directly; we need the `IsUnit A.det` hypothesis and a custom proof routed through `Matrix.inv_eq_right_inv`.
### Tests
- `lake build Mathlib.LinearAlgebra.Matrix.NonsingularInverse` — green
- `lake build Mathlib.Analysis.Matrix.Spectrum Mathlib.LinearAlgebra.Matrix.GeneralLinearGroup.Defs` — green (downstream smoke check, no regressions)
- Verified usability against both `RingEquiv` and `StarAlgEquiv` instances via local smoke tests
### Notes on AI assistance
Per the Mathlib [AI-use policy](https://leanprover-community.github.io/contribute/index.html#use-of-ai):
- **Tool.** Claude Code (Anthropic), Claude Opus 4.7 model.
- **Use.** I specified the target statement (originally `ℝ`-specific to a unitary conjugation) and the scope of generalization. The assistant drafted the more general `MonoidHomClass` version, chose the file home, verified the proof builds under `lake build`, and tested downstream files for regressions. I reviewed the proof, naming, and file placement.
- **Vouching.** I have read the declaration and can defend the proof without further AI assistance. Happy to take reviewer feedback on naming (`map_nonsing_inv` vs alternatives), namespace placement, or whether the typeclass bound should be relaxed further (e.g. to `MulHomClass` if we can avoid `map_one` — though `map_mul` + `mul_nonsing_inv = 1` + applying `f` to `1` seems to genuinely require `OneHomClass` too). |
t-algebra
new-contributor
LLM-generated
label:t-algebra$ |
17/0 |
Mathlib/LinearAlgebra/Matrix/NonsingularInverse.lean |
1 |
2 |
['github-actions'] |
nobody |
26-8512 26 days ago |
unknown |
0-0 0 seconds |
| 39548 |
RaggedR author:RaggedR |
feat(Combinatorics/SimpleGraph): coset graphs (Sabidussi construction) |
This adds coset graphs (Sabidussi's construction) to Mathlib, building on the graph action infrastructure from #39530. Given a group `G`, a subgroup `H`, and a connection set `D` (a union of `(H,H)`-double cosets, closed under inversion, disjoint from `H`), the coset graph `Sab(G, H, D)` is the simple graph on `G ⧸ H` where `xH` is adjacent to `yH` whenever `x⁻¹y ∈ D`.
The well-definedness proof — that adjacency is independent of coset representatives — uses the double coset stability of `D`. This is the core algebraic content of the construction. The file then shows that left multiplication by `G` preserves adjacency (`graphAction` instance) and that coset graphs are vertex-transitive.
When `H ≤ K`, the natural projection `G ⧸ H → G ⧸ K` is a graph homomorphism for coset graphs sharing the same connection set `D`. The proof of `proj_adj` is trivial — adjacency is `x⁻¹y ∈ D` in both graphs, independent of the subgroup. This is the Sabidussi analogue of quotient by a block system: the orbits of `K` on `G ⧸ H` form blocks of size `[K : H]`, and the quotient graph is `Sab(G, K, D)`. For example, the Zhou graph (F182A, Sab(PSL(2,13), S₃), 182 vertices, cubic) projects to the Zhou-6 graph (Sab(PSL(2,13), D₁₂), 91 vertices, 6-regular) via S₃ ≤ D₁₂, and the dodecahedron (Sab(A₅, C₃)) projects to the Petersen graph (Sab(A₅, D₆)) via C₃ ≤ D₆.
Sabidussi's construction generalizes Cayley graphs (which are the special case `H = ⊥`). Together with the representation theorem (a future PR), it gives a complete classification: every vertex-transitive graph is isomorphic to a coset graph.
The definitions and proofs are from my honours thesis (*Symmetric Graphs and their Quotients*, arXiv:1306.4798).
Depends on #39530.
---
LLM tools were used to assist with Lean formalization. The mathematical content is the author's own work. |
t-combinatorics
new-contributor
LLM-generated
|
304/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Action.lean,Mathlib/Combinatorics/SimpleGraph/CosetGraph.lean |
3 |
5 |
['RaggedR', 'github-actions', 'mathlib-bors'] |
nobody |
25-84513 25 days ago |
25-84514 25 days ago |
4-52985 4 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 |
25-84497 25 days ago |
25-84497 25 days ago |
30-52387 30 days |
| 31796 |
dobronx1325 author:dobronx1325 |
feat(Data/Real/EReal): add mul_lt_mul_of_pos_left theorem |
This PR adds the theorem `EReal.mul_lt_mul_of_pos_left`, which states that for a positive real number `a` and extended reals `b < c`, left multiplication by `a` preserves the strict order: `(a : EReal) * b < (a : EReal) * c`.
The theorem complements existing order-preserving properties for addition in `EReal` and extends the algebraic structure for multiplication. The proof uses basic properties of extended reals and order relations.
---
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PR is merged. Please leave a blank newline before the `---`, otherwise
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[](https://gitpod.io/from-referrer/)
|
t-data
new-contributor
merge-conflict
|
23/0 |
Mathlib/Data/EReal/Operations.lean |
1 |
5 |
['JovanGerb', 'LLaurance', 'dobronx1325', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
25-82106 25 days ago |
204-79334 204 days ago |
6-25774 6 days |
| 35834 |
homeowmorphism author:homeowmorphism |
feat(Mathlib/GroupTheory/PresentedGroup): every group has a presentation |
We show that every group has a presentation defined by taking the free group with all of the group elements as the generators, and defining the relations as the kernel of the induced subjective homomorphism from that free group to the group itself.
Use of AI: This has been vibe-coded with GPT-Codex-5.3, was updated through review, and was double-checked by the author.
---
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-->
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-group-theory
large-import
awaiting-author
LLM-generated
merge-conflict
|
29/1 |
Mathlib/GroupTheory/PresentedGroup.lean |
1 |
16 |
['copilot-pull-request-reviewer', 'euprunin', 'github-actions', 'homeowmorphism', 'mathlib-bors', 'mathlib-merge-conflicts', 'plp127', 'tb65536'] |
tb65536 assignee:tb65536 |
25-62189 25 days ago |
104-46722 104 days ago |
4-30999 4 days |
| 38390 |
mortarsanjaya author:mortarsanjaya |
feat(Data/Nat/Cast/Order/Basic): introduce new class `IsMonotoneNatCast` |
The class says that `Nat.cast` is monotone in an `AddMonoidWithOne`. Basically, we use this class when we only care about comparing the elements of a monoid that comes from the `Nat`s (so we do not have to care about the compatibility between the additive structure of the monoid and its order structure).
---
<!-- Your PR title will become the first line of the commit message.
In this box, the text above the `---` (if not empty) will be appended
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Second, co-authors can also be listed in lines at the very bottom of
the commit message (that is, directly before the `---`) using the following format:
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at the bottom of the commit message (before the `---`, and also before
any "Co-authored-by" lines) using the following format:
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Deletions:
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-->
Other than that, I'm also reorganizing some section naming, and I change the proof of the `Nontrivial` instance at the bottom to using `NeZero.nontrivial`.
[](https://gitpod.io/from-referrer/)
|
t-data
new-contributor
merge-conflict
|
28/18 |
Mathlib/Data/Nat/Cast/Order/Basic.lean |
1 |
8 |
['github-actions', 'leanprover-radar', 'mathlib-bors', 'mathlib-merge-conflicts', 'mortarsanjaya', 'vihdzp'] |
nobody |
25-60599 25 days ago |
48-43275 48 days ago |
7-85443 7 days |
| 29151 |
yuanyi-350 author:yuanyi-350 |
feat: Corollary of Hahn–Banach theorem |
In this PR, I have proved [Rudin, *Functional Analysis* (Theorem 3.7)][rudin1991] which is a step in proving the Closed Range Theorem. Also, I have added tags for the corresponding theorems in Rudin to mathlib.
3.7 Theorem. Suppose B is a convex, balanced, closed set in a locally convex space $X, x_0 \in X$, but $x_0 \notin B$. Then there exists $\Lambda \in X^*$ such that $|\Lambda x| \leq 1$ for all $x \in B$, but $\Lambda x_0>1$
proof. Since $B$ is closed and convex, we can apply (b) of Theorem 3.4, with $A=\{ x_0 \}$ , to obtain $\Lambda_1 \in X^*$ such that $\Lambda_1 x_0=r e^{i \theta}$ lies outside the closure $K$ of $\Lambda_1(B)$. Since $B$ is balanced, so is $K$. Hence there exists $s, 0<s<r$, so that $|z| \leq s$ for all $z \in K$. The functional $\Lambda=s^{-1} e^{-i \theta} \Lambda_1$ has the desired properties.
- [ ] depends on: #29033
---
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Please ask for help on https://leanprover.zulipchat.com if needed.
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-->
[](https://gitpod.io/from-referrer/)
|
awaiting-author
new-contributor
t-analysis
|
69/2 |
Mathlib/Analysis/LocallyConvex/Separation.lean,Mathlib/Analysis/RCLike/Lemmas.lean,Mathlib/Topology/Order/OrderClosed.lean |
3 |
17 |
['faenuccio', 'fpvandoorn', 'github-actions', 'mathlib-merge-conflicts', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot', 'mcdoll', 'themathqueen', 'yuanyi-350'] |
faenuccio assignee:faenuccio |
24-79333 24 days ago |
270-1318 270 days ago |
20-69824 20 days |
| 39146 |
anovickis author:anovickis |
feat(Analysis/CStarAlgebra/Matrix): CompactSpace instances for unitaryGroup and specialUnitaryGroup |
Adds `CompactSpace` instances (and supporting `IsClosed` / `IsCompact` lemmas) for the matrix unitary and special unitary groups.
The compactness follows from Heine-Borel applied to the entrywise sup norm: every unitary matrix has all entries bounded by `1` (via the existing `entry_norm_bound_of_unitary` lemma), and `Matrix n n 𝕜` is finite-dimensional, so `closed + bounded ⇒ compact`.
### New declarations
- `isClosed_unitaryGroup`, `isCompact_unitaryGroup`
- `instance Matrix.unitaryGroup.instCompactSpace`
- `isClosed_specialUnitaryGroup`, `isCompact_specialUnitaryGroup`
- `instance Matrix.specialUnitaryGroup.instCompactSpace`
All placed inside the existing `EntrywiseSupNorm` section in `Mathlib/Analysis/CStarAlgebra/Matrix.lean`, so the `Matrix.Norms.Elementwise` scope used for the bound is already in scope.
### Motivation
These instances enable downstream constructions of compact matrix Lie groups such as flag manifolds (e.g. SU(3)/T = F₂), where the quotient inherits compactness for free via `Quotient.compactSpace`. They also fill an obvious gap in the matrix-group API: `unitary R` is known to be closed, but compactness for `Matrix.unitaryGroup` was not previously available as an instance.
Claude Code / Anthropic was used for generating the code, Verification was done with lake build, each lemma reviewed. Proofs came out of F2 mass gap lean library - so compile verified |
t-analysis
new-contributor
awaiting-author
|
52/0 |
Mathlib/Analysis/CStarAlgebra/Matrix.lean |
1 |
12 |
['anovickis', 'github-actions', 'j-loreaux', 'wwylele'] |
nobody |
24-57274 24 days ago |
38-49282 38 days ago |
0-7559 2 hours |
| 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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[](https://gitpod.io/from-referrer/)
|
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 |
23-77570 23 days ago |
23-78801 23 days ago |
23-78241 23 days |
| 31898 |
ntapiam author:ntapiam |
feat(LinearAlgebra/TensorAlgebra): implement HopfAlgebra for TensorAlgebra |
implementation of the natural Hopf algebra structure on the TensorAlgebra |
new-contributor
t-ring-theory
awaiting-author
merge-conflict
|
253/0 |
Mathlib.lean,Mathlib/Algebra/FreeAlgebra.lean,Mathlib/LinearAlgebra/TensorAlgebra/Basic.lean,Mathlib/RingTheory/Bialgebra/FreeAlgebra.lean,Mathlib/RingTheory/Bialgebra/TensorAlgebra.lean,Mathlib/RingTheory/HopfAlgebra/TensorAlgebra.lean |
6 |
66 |
['YaelDillies', 'github-actions', 'hawkrobe', 'kckennylau', 'mathlib-merge-conflicts', 'ntapiam'] |
nobody |
23-49732 23 days ago |
207-35492 207 days ago |
0-34649 9 hours |
| 39722 |
kg583 author:kg583 |
feat(Combinatorics): Link `Nat.Partition` to `YoungDiagram` |
---
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AI disclosure: Claude was used to source some proof sketches.
[](https://gitpod.io/from-referrer/)
|
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 |
23-26196 23 days ago |
25-53405 25 days ago |
26-50420 26 days |
| 36763 |
alok author:alok |
refactor(Order/Filter/Germ): partial sections for Filter.Product |
## Summary
- Refactor `Filter.Product` from total functions to partial sections (`Product.Section`) with filter-large domains
- Adapt the model-theoretic `Prestructure` and Łoś's theorem proofs to partial sections
- Add `Germ ↔ Product` bridge equivalence for constant families
## Motivation
The current `Filter.Product` is a quotient of total functions `(a : α) → ε a` by eventual equality. This requires all fibers to be inhabited, which is not the mathematically correct construction. The ultraproduct should only require a section defined on a filter-large set.
The new `Product.Section` structure carries:
- A domain `dom : Set α` with `dom ∈ l`
- A dependent section `val : (a : dom) → ε a`
Two sections are equivalent if they agree on some filter-large common domain. This matches the standard mathematical construction and enables proper ultraproducts where some fibers may be empty.
## Changes
### `Mathlib/Order/Filter/Germ/Basic.lean`
- New `Product.Section` structure (partial section with filter-large domain)
- `productSetoid` redefined over `Product.Section`
- `Product.ofTotal` embeds total sections; `eq_iff_ofTotal` characterizes equality
### `Mathlib/ModelTheory/Ultraproducts.lean`
- `sectionStructure`: first-order structure on partial sections (funMap restricts to domain intersection, RelMap checks on common domain)
- `setoidPrestructure` adapted with full proofs of `fun_equiv` and `rel_equiv`
- `funMap_cast`, `boundedFormula_realize_cast` (rel case), `all` quantifier case all reproved for partial sections
- Łoś's theorem statement unchanged; `sentence_realize` still has the same API
### `Mathlib/Order/Filter/Germ/Product.lean` (new)
- `Germ.toProduct` / `Product.toGerm`: round-trip between germs and constant-family products
- `Germ.prodEquiv`: equivalence for inhabited constant families (backward compat)
## Test plan
- [x] `lake build` passes (7607/7607 modules)
- [x] All linter warnings resolved
- [x] `Mathlib.ModelTheory.Satisfiability` (uses `Filter.Product` + `sentence_realize`) still compiles
- [x] `Mathlib.Analysis.Real.Hyperreal` still compiles
---
Context: [Zulip discussion](https://leanprover.zulipchat.com/#narrow/channel/217875-Is-there-code-for-X.3F/topic/Nonstandard.20Analysis/near/513178715) — Violeta Hernández asked for fixing the ultraproduct definition as the first step after #33650 deprecated the old hyperreal machinery.
🤖 Generated with [Claude Code](https://claude.com/claude-code) |
new-contributor
merge-conflict
|
278/49 |
Mathlib.lean,Mathlib/ModelTheory/Ultraproducts.lean,Mathlib/Order/Filter/Germ/Basic.lean,Mathlib/Order/Filter/Germ/Product.lean |
4 |
6 |
['alok', 'github-actions', 'mathlib-merge-conflicts', 'plp127'] |
nobody |
22-70768 22 days ago |
unknown |
0-0 0 seconds |
| 36529 |
idontgetoutmuch author:idontgetoutmuch |
Connection 1 form scribbles |
Some thoughts on connection 1-forms - not meant to be ever merged but here for convenience of discussion
|
new-contributor
t-differential-geometry
merge-conflict
|
496/52 |
Mathlib/Analysis/ODE/PicardLindelof.lean,Mathlib/Geometry/Manifold/Algebra/FundamentalVectorField.lean,Mathlib/Geometry/Manifold/IntegralCurve/Compact.lean,Mathlib/Geometry/Manifold/IntegralCurve/ExistUnique.lean,Mathlib/Order/Filter/Prod.lean |
5 |
3 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
22-38691 22 days ago |
unknown |
0-0 0 seconds |
| 39871 |
daiduo2 author:daiduo2 |
feat(Analysis/ODE): Uniform Gronwall inequality |
## Summary
Adds the integral-form **Uniform Gronwall inequality**, a variant of Gronwall's inequality essential in PDE theory. Unlike the standard Gronwall bound which depends on an initial value, the uniform version provides a bound on `y(t)` that depends only on the **time-averages** of `g`, `h`, and `y` over sliding windows of length `r`.
## Mathematical Statement
Let `y, g, h : ℝ → ℝ` satisfy `y'(t) ≤ g(t) * y(t) + h(t)` on `[0, T)`. If for some `r > 0`:
- `∫_t^{t+r} g(s) ds ≤ a₁`
- `∫_t^{t+r} h(s) ds ≤ a₂`
- `∫_t^{t+r} y(s) ds ≤ a₃`
for all `t ∈ [0, T-r]`, then `y(t) ≤ (a₃/r + a₂) * exp(a₁)` for all `t ∈ [r, T]`.
## Changes
- **New file**: `Mathlib/Analysis/ODE/UniformGronwall.lean` (~590 lines)
- `uniformGronwallBound` — the explicit bound
- `uniformGronwallBound_of_a₂0_a₃0`, `uniformGronwallBound_nonneg` — simp lemmas
- `le_uniformGronwallBound_of_deriv_le` — main theorem
- **Updated**: `Mathlib.lean` — added import
## Design Decisions
- Real-valued functions `ℝ → ℝ` (generalization to normed spaces left for future work)
- Right derivatives (`HasDerivWithinAt` with `Ici`), matching `Gronwall.lean` style
- Assumes non-negativity (`g, h, y ≥ 0`), standard in PDE applications
## References
- R. Temam, *Infinite-Dimensional Dynamical Systems in Mechanics and Physics*, Appendix A |
t-analysis
new-contributor
awaiting-author
LLM-generated
|
601/0 |
Mathlib.lean,Mathlib/Analysis/ODE/UniformGronwall.lean |
2 |
4 |
['daiduo2', 'github-actions', 'grunweg'] |
nobody |
21-50093 21 days ago |
22-61001 22 days ago |
0-13098 3 hours |
| 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 |
21-49956 21 days ago |
23-7263 23 days ago |
23-6703 23 days |
| 26923 |
oliver-butterley author:oliver-butterley |
feat(Dynamics/BirkhoffSum): add the pointwise ergodic theorem (Birkhoff's) |
The Pointwise Ergodic Theorem, also known as Birkhoff's Ergodic Theorem.
Co-authored-by: Lua Viana Reis <me@lua.blog.br>
- [x] depends on: #26074
- [x] depends on: #26807
- [x] depends on: #26810
- [x] depends on: #26840
- [x] depends on: #26842
- [x] depends on: #26848
- [x] depends on: #26851
- [x] depends on: #26852
- [x] depends on: #26853
- [x] depends on: #27008
- [x] depends on: #28901
Zulip: [PR thread](https://leanprover.zulipchat.com/#narrow/channel/144837-PR-reviews/topic/.2326923.20The.20pointwise.20ergodic.20theorem.20.28Birkhoff's.29/with/527835158)
---
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PR is merged. Please leave a blank newline before the `---`, otherwise
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[](https://gitpod.io/from-referrer/)
|
t-dynamics
new-contributor
awaiting-author
|
398/0 |
Mathlib.lean,Mathlib/Dynamics/BirkhoffSum/Pointwise.lean |
2 |
33 |
['D-Thomine', 'github-actions', 'leanprover-community-bot-assistant', 'lua-vr', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot', 'rwst', 'sgouezel', 'urkud'] |
sgouezel assignee:sgouezel |
20-72841 20 days ago |
183-52567 183 days ago |
98-50945 98 days |
| 36487 |
samueloettl author:samueloettl |
feat(Dynamics): Ergodicity characterization |
---
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- [ ] depends on: #35402
- [x] depends on: #35451
This is a work in progress for a characterization of ergodicity via a Birkhoff Average.
Coarse Feedback is very encouraged.
[](https://gitpod.io/from-referrer/)
|
WIP
new-contributor
large-import
blocked-by-other-PR
|
421/1 |
Mathlib/Dynamics/Ergodic/Function.lean,Mathlib/Dynamics/Ergodic/OnAverageIndependent.lean,Mathlib/Topology/MetricSpace/Pseudo/Basic.lean |
3 |
5 |
['github-actions', 'lua-vr', 'mathlib-dependent-issues', 'samueloettl'] |
nobody |
20-46928 20 days ago |
98-67027 98 days ago |
0-163 2 minutes |
| 39981 |
MarAndrey77 author:MarAndrey77 |
feat(Analysis/Convex): prove Shapley-Folkman lemma |
## Summary
This PR adds a formal proof of the Shapley-Folkman lemma for finite sums of sets in finite-dimensional real vector spaces.
The main theorem states that if a point belongs to a finite sum of convex hulls, then it can be represented as a sum where all but at most `finrank ℝ E` terms belong to the original sets.
## Main declarations
* `shapley_folkman`
* `shapley_folkman_exists_choice`
* `ShapleyFolkmanRep.nonsingleton_card_le_finrank_of_minimal`
## Implementation notes
The proof uses a minimal-complexity representation and a perturbation argument to bound the number of nonsingleton convex combinations by `Module.finrank ℝ E`.
## AI usage
AI assistance was used during this project. In particular, it was used to help identify existing Mathlib theorems that could be useful for the proof, and to analyze Lean error messages while debugging the formalization.
## Checks
* `lake exe mk_all`
* `lake build Mathlib.Analysis.Convex.ShapleyFolkman`
* no `sorry`
* no linter warnings |
awaiting-author
t-analysis
new-contributor
|
1350/0 |
Mathlib.lean,Mathlib/Analysis/Convex/ShapleyFolkman.lean |
2 |
8 |
['MarAndrey77', 'github-actions', 'grunweg', 'wwylele'] |
nobody |
20-33490 20 days ago |
20-63003 20 days ago |
0-123 2 minutes |
| 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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[](https://gitpod.io/from-referrer/)
|
t-data
new-contributor
|
15/0 |
Mathlib/Data/ZMod/Basic.lean |
1 |
3 |
['copilot-pull-request-reviewer', 'github-actions'] |
nobody |
20-6761 20 days ago |
20-9079 20 days ago |
20-8519 20 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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[](https://gitpod.io/from-referrer/)
|
t-data
new-contributor
|
56/0 |
Mathlib/Data/ZMod/Basic.lean |
1 |
2 |
['github-actions'] |
nobody |
20-4158 20 days ago |
20-4228 20 days ago |
20-4363 20 days |
| 33817 |
FlAmmmmING author:FlAmmmmING |
fix(Combinatorics/Enumerative/Schroder): fix the definition of `smallSchroder` |
In the previous definition, the small Schröder numbers were defined as
```LaTeX
s_0 = 1, s_1 = 1, s_2 = 1, s_3 = 3...
```
, which does not match the sequence listed in OEIS A006318. Moreover, this definition makes it difficult to correctly write the generating function for the small Schröder numbers. This PR fixes this issue.
---
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[](https://gitpod.io/from-referrer/)
|
new-contributor
t-combinatorics
large-import
awaiting-author
merge-conflict
|
61/39 |
Mathlib/Combinatorics/Enumerative/Schroder.lean |
1 |
21 |
['FlAmmmmING', 'YaelDillies', 'github-actions', 'mathlib-merge-conflicts', 'vihdzp'] |
YaelDillies assignee:YaelDillies |
19-38719 19 days ago |
84-16725 84 days ago |
74-58112 74 days |
| 35951 |
parabamoghv author:parabamoghv |
feat(CategoryTheory/Monoidal): evaluation coevaluation isomorphisms |
This PR adds four features to rigid categories:
1. `coevaluation_evaluation` and `evaluation_coevaluation` as isomorphism equalities: Using `IsIso` instances for the `evaluation` and `coevaluation` morphisms, we promote the morphism equalities to isomorphism equalities.
2. `ExactPairing Y X` from `ExactPairing X Y`: Using an exact pairing and `IsIso` instances for both `evaluation` and `coevaluation`, we swap the exact pairing by inverting the evaluation and coevaluation morphisms. Any suggestions for the definition name are welcome. Right now it is `ExactPairing.Symm`. The second choice was `ExactPairing.Swap`.
3. `HasLeftDual X` from `HasRightDual X`: Using a `HasRightDual X` instance and relevant `IsIso` instances, we construct a left dual. Similar construction for the other way.
4. `LeftDual` isomorphic to `RightDual`: Using relevant `IsIso` instances, we provide the isomorphism from the left dual of an object to the right dual. This can be achieved in two ways: either by using `leftDualIso` or using `rightDualIso`. We will prove in a subsequent PR that both these isomorphisms are equal.
Motivation: This is part of an effort to formalize CategoricalGroups, which can be defined as right rigid groupoids. The approach is motivated by the discussion in [#34830](https://github.com/leanprover-community/mathlib4/pull/34830).
Any comments or suggestions are welcome, especially about the naming.
---
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[](https://gitpod.io/from-referrer/)
|
t-category-theory
new-contributor
awaiting-author
merge-conflict
|
64/2 |
Mathlib/CategoryTheory/Monoidal/Rigid/Basic.lean |
1 |
19 |
['dagurtomas', 'github-actions', 'joelriou', 'mathlib-merge-conflicts', 'parabamoghv', 'robin-carlier'] |
robin-carlier assignee:robin-carlier |
19-37061 19 days ago |
90-59857 90 days ago |
7-83579 7 days |
| 38595 |
openendings author:openendings |
chore(CategoryTheory): remove defeq abuse in Monad/Kleisli.lean |
Currently most of Kleisli.lean uses defeq abuse to perform deep rewrites equivalent to `Kleisli.of_mk`, `Kleisli.mk_of`, etc.
This PR removes all backward.isDefEq.respectTransparency from the file. Additionally:
- Add `theorem Kleisli.comp`, encoding `Kleisli.category.map_comp` in the base category.
- Add `theorem Cokleisli.comp`, encoding `category.map_comp` in the base category.
- Make `C` implicit in `Monad.unit_naturality` and `Monad.mu_naturality`.
- Make `C` implicit in `Comonad.counit_naturality` and `Comonad.delta_naturality`.
---
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- ~~I would greatly appreciate advice ([e.g. via Zulip](https://leanprover.zulipchat.com/#user/1060393)) on tackling the remainder of this file: the defeqs mostly appear in morally `simp`/`calc` proofs that look horrid in `refine` style.
I can supply more rfl theorems like `of_mk` and `mk_of` (and hope to do so in subsequent PRs), but don't know how to use them for a deep type rewrite.~~
[](https://gitpod.io/from-referrer/) |
t-category-theory
new-contributor
awaiting-author
WIP
merge-conflict
|
95/28 |
Mathlib/CategoryTheory/Monad/Basic.lean,Mathlib/CategoryTheory/Monad/Kleisli.lean,MathlibTest/CategoryTheory/Monad.lean |
3 |
23 |
['dagurtomas', 'github-actions', 'joelriou', 'mathlib-merge-conflicts', 'openendings'] |
nobody |
19-33252 19 days ago |
51-26070 51 days ago |
0-4425 1 hour |
| 39164 |
allenhaozhu author:allenhaozhu |
feat(Probability/Distance): add total variation distance `tvDist` |
Add `MeasureTheory.tvDist : Measure α → Measure α → ℝ≥0∞`, the total variation distance between two measures, defined via the truncated subtraction `μ - ν` already in `Mathlib.MeasureTheory.Measure.Sub`. Add four basic lemmas (`tvDist_self`, `tvDist_comm`, `tvDist_nonneg`, `tvDist_le_one`) and a bridge lemma `tvDist_eq_signedMeasure_totalVariation` connecting `tvDist` to the existing `MeasureTheory.SignedMeasure.totalVariation` for finite measures.
---
## AI-assistance disclosure
Per the Mathlib [AI-use policy](https://leanprover-community.github.io/contribute/index.html#use-of-ai):
- **Tool.** Claude Code (Anthropic) with the Claude Sonnet 4.6 model.
- **Use.** I specified the target lemma statements and the proof strategy; the assistant drafted Lean 4 tactic combinations against current Mathlib. I iterated on the proofs, verified each lemma builds under `lake build` from a clean checkout, and read the final code.
- **Vouching.** I have read every declaration in this file and can defend the proofs without further AI assistance. I welcome reviewer feedback on naming, namespace placement, and stylistic alignment with the surrounding Mathlib modules. |
t-measure-probability
new-contributor
LLM-generated
awaiting-author
merge-conflict
|
187/0 |
Mathlib.lean,Mathlib/Probability/Distance/TotalVariation.lean |
2 |
5 |
['allenhaozhu', 'github-actions', 'grunweg', 'mathlib-merge-conflicts'] |
nobody |
19-32989 19 days ago |
38-3728 38 days ago |
0-2707 45 minutes |
| 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 |
19-32872 19 days ago |
41-50072 41 days ago |
49-35421 49 days |
| 39460 |
Deicyde author:Deicyde |
feat(Algebra/Module/ZLattice): Quotient by `IsZLattice` is group isomorphic to `UnitAddTorus` |
The main result `quotientAddEquivUnitAddTorus` constructs an isomorphism `(E ⧸ L) ≃+ UnitAddTorus ι` for any `IsZLattice ℝ L`.
Currently left as a draft for educational purpose. See the Zulip thread [#mathlib4 > What Is A Torus?](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/What.20Is.20A.20Torus.3F/with/595553420) for more discussion.
---
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- [ ] depends on: #39452
- [ ] depends on: #39453
[](https://gitpod.io/from-referrer/)
|
new-contributor
merge-conflict
|
67/6 |
Mathlib.lean,Mathlib/Algebra/Module/ZLattice/Torus.lean,Mathlib/Analysis/Fourier/AddCircleMulti.lean,Mathlib/RingTheory/Ideal/Operations.lean,Mathlib/Topology/Instances/AddCircle/Real.lean |
5 |
4 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
19-32727 19 days ago |
unknown |
0-0 0 seconds |
| 37932 |
idontgetoutmuch author:idontgetoutmuch |
feat: Exponential map of Lie group is smooth |
We construct the exponential map `expLie : g → G` for a Lie group `G` and prove that it
is smooth. The main reference is:
* Eckhard Meinrenken, *Lie Groups and Lie Algebras*, Lecture Notes, University of Toronto.
Available at https://www.math.toronto.edu/mein/teaching/LectureNotes/lie.pdf
---
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[](https://gitpod.io/from-referrer/)
|
new-contributor
t-differential-geometry
awaiting-author
|
392/0 |
Mathlib.lean,Mathlib/Geometry/Manifold/Algebra/SmoothLieExp.lean |
2 |
32 |
['github-actions', 'grunweg', 'idontgetoutmuch', 'mathlib-bors', 'wwylele'] |
nobody |
19-13709 19 days ago |
61-6795 61 days ago |
0-973 16 minutes |
| 30121 |
idontgetoutmuch author:idontgetoutmuch |
feat(Mathlib/Geometry/Manifold): principal fiber bundle core |
A structure capturing what it means to be a principal fibre bundle.
---
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PR is merged. Please leave a blank newline before the `---`, otherwise
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[](https://gitpod.io/from-referrer/)
|
awaiting-author
t-differential-geometry
new-contributor
|
227/0 |
Mathlib.lean,Mathlib/Geometry/Manifold/PrincipalFiberBundle/PrincipalGBundle.lean |
2 |
9 |
['github-actions', 'grunweg', 'idontgetoutmuch', 'mathlib-bors', 'mathlib4-merge-conflict-bot'] |
hrmacbeth assignee:hrmacbeth |
19-13683 19 days ago |
233-68207 233 days ago |
25-16508 25 days |
| 40033 |
JJYYY-JJY author:JJYYY-JJY |
chore: remove flexible linter suppressions |
This PR removes two local `linter.flexible` suppressions by replacing compact `simp; infer_instance` with explicit proofs.
Changed files:
- `Mathlib/Dynamics/TopologicalEntropy/DynamicalEntourage.lean`
- `Mathlib/Topology/UniformSpace/Ultra/Constructions.lean`
Tested with:
`lake build`
---
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[](https://gitpod.io/from-referrer/)
|
new-contributor |
6/8 |
Mathlib/Dynamics/TopologicalEntropy/DynamicalEntourage.lean,Mathlib/Topology/UniformSpace/Ultra/Constructions.lean |
2 |
6 |
['chenson2018', 'github-actions', 'vihdzp'] |
nobody |
17-62622 17 days ago |
19-42806 19 days ago |
19-42246 19 days |
| 34875 |
banrovegrie author:banrovegrie |
feat(LinearAlgebra/Matrix): add Sherman-Morrison formula |
Mathlib has the matrix determinant lemma (`det_add_replicateCol_mul_replicateRow` in SchurComplement.lean) but lacked the corresponding inverse formula. This PR fills that gap.
- Add `Matrix.inv_add_vecMulVec`: Sherman-Morrison formula for `(A + uv^T)^{-1}`
- Add `Matrix.inv_sub_vecMulVec`: subtraction variant
- Add `Matrix.isUnit_det_add_vecMulVec`: invertibility under the formula's hypotheses
## Test plan
- [x] `lake build` passes
- [x] Lines within 100 char limit
- [x] All declarations have docstrings
**Any specific AI usage?**: Used Copilot for review purposes. |
t-algebra
new-contributor
awaiting-author
label:t-algebra$ |
135/0 |
Mathlib.lean,Mathlib/LinearAlgebra/Matrix/ShermanMorrison.lean |
2 |
15 |
['Xxxjdjdid', 'banrovegrie', 'chrisflav', 'copilot-pull-request-reviewer', 'eric-wieser', 'github-actions', 'wwylele'] |
chrisflav assignee:chrisflav |
17-61108 17 days ago |
63-62185 63 days ago |
69-6728 69 days |
| 38887 |
Rosario-Leonardi-CT author:Rosario-Leonardi-CT |
feat(Analysis/Fourier/ZMod): add dft_star_comp |
Adds `ZMod.dft_star_comp`, expressing that `𝓕 (star ∘ Φ) k = star (𝓕 Φ (-k))`, the discrete analogue of the Fourier transform's interaction with complex conjugation, complementing the existing `dft_comp_neg`.
---
AI disclosure: lemma statement and proof drafted with assistance from Claude Code; verified by the Lean compiler with no `sorry` and standard axioms only (`propext`, `Classical.choice`, `Quot.sound`). |
t-analysis
new-contributor
awaiting-author
|
9/0 |
Mathlib/Analysis/Fourier/ZMod.lean |
1 |
9 |
['Rosario-Leonardi-CT', 'github-actions', 'wwylele'] |
j-loreaux assignee:j-loreaux |
17-60371 17 days ago |
40-59307 40 days ago |
5-6447 5 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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[](https://gitpod.io/from-referrer/)
|
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 |
16-47581 16 days ago |
16-59033 16 days ago |
68-61016 68 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 |
16-32232 16 days ago |
40-52391 40 days ago |
54-15547 54 days |
| 33233 |
jazzits author:jazzits |
feat(GroupTheory): add chosen group presentations and Tietze transformations (1) and (2) |
Defines a notion of group presentation for G compatible with Mathlib.GroupTheory.PresentedGroup: generators `ι → G` whose range generates G, and relators `rels : Set (FreeGroup ι)` whose normal closure equals the kernel of `FreeGroup ι →* G`. Provides the canonical map `PresentedGroup P.rels →* G` and equivalences showing `PresentedGroup P.rels ≃* G` and invariance under changing presentations.
Also formalizes Tietze moves (1)–(2) as equivalences of PresentedGroups: adding/removing a relator that lies in the normal closure of the others.
TODO: moves (3)–(4) (add/remove generator with a defining relation).
No existing definitions are modified
|
t-group-theory
new-contributor
awaiting-author
|
328/0 |
Mathlib.lean,Mathlib/GroupTheory/Presentation.lean |
2 |
15 |
['github-actions', 'homeowmorphism', 'jazzits', 'kbuzzard', 'mathlib-merge-conflicts', 'plp127', 'tb65536'] |
tb65536 assignee:tb65536 |
15-2082 15 days ago |
170-72175 170 days ago |
5-47944 5 days |
| 35672 |
dennj author:dennj |
feat(RingTheory/Polynomial/Cyclotomic): vanishing sums and fiber equidistribution at primitive roots |
## Summary
Building on `sum_eq_zero_iff_forall_eq` from #34592, this PR adds:
- cyclotomic_dvd_of_aeval_eq_zero, exists_int_smul_cyclotomic_of_natDegree_le_totient — integer polynomials vanishing at a primitive n-th root are divisible by cyclotomic n ℤ, and (for degree ≤ φ(n)) integer multiples of it.
- sum_eq_zero_iff_forall_eq and its ℤ / ZMod p variants — vanishing iff all coefficients equal.
- sum_fiber_eq_sum_fiber_of_sum_weighted_pow_eq_zero, card_fiber_eq_card_div_of_sum_pow_eq_zero — fiber equidistribution.
- cyclotomic_prime_coeff — the formula (cyclotomic p R).coeff i = if i < p then 1 else 0, generalising existing coeff_zero/coeff_one lemmas.
-
References: [deLauneyFlannery2011, Lemma 2.8.5] (underlying ℚ/ℕ fact) and [armario2024, Lemma 7 and Theorem 3] (ℤ statement and the fiber-counting application).
Theorems imported from: https://github.com/Latinum-Agentic-Commerce/AlgebraicDesignTheory
Human made PR with LLM used for documentation and proof golfing |
t-ring-theory
new-contributor
LLM-generated
awaiting-author
|
128/2 |
Mathlib/RingTheory/Polynomial/Cyclotomic/Basic.lean,Mathlib/RingTheory/Polynomial/Cyclotomic/Roots.lean,docs/references.bib |
3 |
7 |
['dennj', 'github-actions', 'grunweg', 'ocfnash', 'riccardobrasca'] |
riccardobrasca assignee:riccardobrasca |
15-9 15 days ago |
15-9 14 days ago |
46-65914 46 days |
| 39936 |
z-tech author:z-tech |
Corradi's intersection lemma |
Adds Corrádi's intersection lemma (1969): if `A₁, …, Aₘ ⊆ A` each have
size `a` and pairwise intersections of size at most `b`, then
`m · (a² − b·|A|) ≤ |A| · (a − b)`. The proof is the standard
double-counting plus Cauchy–Schwarz on the cover-count function
`x ↦ #{i | x ∈ Aᵢ}`.
Reference: Jukna, *Extremal Combinatorics* (Springer, 2011), Lemma 5.5.
Both an integer form (`corradi_card_le`) and a real-valued form
(`corradi_card_le_real`) are provided; the latter avoids
`Nat`-subtraction caveats and matches the form used in the classical
Johnson bound on list-decoding radius in MDS codes.
Co-authored-by: Ziyi Guan <TODO - replace with github no reply email>
Co-authored-by: Ignacio Manzur <TODO - replace with github no reply email>
---
**AI disclosure.** Portions of this file (Lean source and docstrings)
were drafted with Claude (Anthropic). The authors have reviewed the
proofs, verified they compile against current Mathlib master, and take
responsibility for the mathematical content.
<!-- (the existing HTML comment block from the template stays here, unchanged) -->
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-combinatorics
LLM-generated
awaiting-author
|
157/0 |
Mathlib.lean,Mathlib/Combinatorics/SetFamily/Corradi.lean |
2 |
9 |
['b-mehta', 'github-actions', 'z-tech'] |
nobody |
14-71947 14 days ago |
unknown |
0-0 0 seconds |
| 35735 |
mkaratarakis author:mkaratarakis |
feat(NumberTheory): analytical properties and lower bounds for Gelfond-Schneider auxiliary function |
This PR is the third component in the formalization of the Gelfond-Schneider Theorem (Hilbert's Seventh Problem). It connects the algebraically constructed auxiliary function `R(x)` to its analytical properties, establishing the exact order of vanishing and the fundamental lower bound on the norm of its non-zero derivative evaluation.
Following the argument in Loo-Keng Hua's *Introduction to Number Theory* (Chapter 17.9, equations (4) and (5)), we define the minimal non-vanishing derivative order $r$ and scale the evaluation to an algebraic integer to compute its norm.
1. (`iteratedkDeriv_R_eq_zero` & `order_geq_n`): We verify that the coefficient vector $\eta$ (chosen via Siegel's lemma in the previous PR) forces the first $n$ derivatives of the auxiliary function $R(x)$ to vanish at the points $x \in \{1, 2, \dots, m\}$. Consequently, the analytical order of $R(x)$ at these points is at least $n$.
2. We extract $r$, the exact minimal order of vanishing of $R(x)$ among all points $1 \le l \le m$, and prove that $n \le r$.
3. We define the non-zero algebraic number $\rho = (\log \alpha)^{-r} R^{(r)}(l_0)$.
4. We prove the crucial textbook step that scaling $\rho$ by $c_1^{r+2mq}$ (formalized here as `cρ`) results in an algebraic integer in $\mathcal{O}_K$.
5. Because $c_1^{r+2mq} \rho$ is a non-zero algebraic integer, the absolute value of its norm is at least $1$. We use this to formally prove the strict lower bound on the absolute norm of the unscaled $\rho$: $|N(\rho)| > c_1^{-h(r+2mq)} > c_5^{-r}$.
---
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- [ ] depends on: #35734 [optional extra text]
[](https://gitpod.io/from-referrer/)
|
t-number-theory
new-contributor
|
1106/48 |
Mathlib.lean,Mathlib/NumberTheory/NumberField/House.lean,Mathlib/NumberTheory/Transcendental/GelfondSchneider/MainAlg.lean,Mathlib/NumberTheory/Transcendental/GelfondSchneider/MainOrder.lean,Mathlib/RingTheory/Algebraic/NatDenominator.lean |
5 |
3 |
['github-actions', 'mathlib-dependent-issues'] |
nobody |
14-68739 14 days ago |
113-50979 113 days ago |
0-479 7 minutes |
| 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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- [x] depends on: #37714
[](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 |
14-66405 14 days ago |
14-68845 14 days ago |
14-72139 14 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 |
14-61252 14 days ago |
14-61325 14 days ago |
16-34798 16 days |
| 29777 |
yuanyi-350 author:yuanyi-350 |
feat(Functional Analysis): closed Range Theorem |
- [ ] depends on: #29151 [Corollary of Hahn-Banach theorem]
- [ ] depends on: #29776 [refactor ContinuousLinearMap.isOpenMap by separating it into sublemmas]
---
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PR is merged. Please leave a blank newline before the `---`, otherwise
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- ...
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- ...
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-->
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|
WIP
blocked-by-other-PR
new-contributor
awaiting-author
t-analysis
|
236/25 |
Mathlib/Analysis/LocallyConvex/Separation.lean,Mathlib/Analysis/Normed/Operator/Banach.lean,Mathlib/Analysis/Normed/Operator/ClosedRange.lean,Mathlib/Analysis/RCLike/Lemmas.lean,Mathlib/Topology/Order/OrderClosed.lean |
5 |
9 |
['JonBannon', 'github-actions', 'mathlib-merge-conflicts', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
faenuccio assignee:faenuccio |
14-56989 14 days ago |
272-70043 272 days ago |
0-634 10 minutes |
| 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 |
14-34214 14 days ago |
47-44934 47 days ago |
80-7054 80 days |
| 39366 |
akiezun author:akiezun |
feat(Data/Nat): add prime divisibility for ascFactorial and choose |
Adds two prime-divisibility lemmas for natural-number factorial/binomial APIs.
The first characterizes when a prime divides an ascending factorial:
`Nat.Prime.dvd_ascFactorial_iff`.
The second applies this to binomial coefficients:
`Nat.Prime.dvd_choose_add_sub_one_iff`, using
`Nat.ascFactorial_eq_factorial_mul_choose'` and cancellation of the `n!` factor
when `n < p`.
---
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[](https://gitpod.io/from-referrer/)
|
t-data
new-contributor
large-import
|
46/0 |
Mathlib.lean,Mathlib/Data/Nat/Choose/Consecutive.lean,Mathlib/Data/Nat/Factorial/BigOperators.lean |
3 |
9 |
['SnirBroshi', 'akiezun', 'github-actions', 'wwylele'] |
joneugster assignee:joneugster |
14-31835 14 days ago |
30-59392 30 days ago |
34-69211 34 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 |
13-70057 13 days ago |
19-83874 19 days ago |
19-83393 19 days |
| 39986 |
CRudrum author:CRudrum |
feat: add HasKernels instance for Pointed |
---
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[](https://gitpod.io/from-referrer/)
|
new-contributor
t-category-theory
large-import
awaiting-author
|
28/2 |
Mathlib/CategoryTheory/Category/Pointed.lean |
1 |
11 |
['CRudrum', 'Whysoserioushah', 'dagurtomas', 'github-actions'] |
nobody |
13-63838 13 days ago |
20-49919 20 days ago |
0-5451 1 hour |
| 39048 |
AydenLamp author:AydenLamp |
feat(Algebra/Group/Defs): add positive natural exponentiation for semigroups |
Introduce exponentiation for semigroups with positive natural exponents. This serves as a foundation for future results on Green’s relations and Rees matrix constructions in semigroups.
---
Co-authored-by: Howard Straubing <howard.straubing@bc.edu>
Soleil Repple <repple@bc.edu>
Nathan Hart-Hodgson <harthodg@bc.edu>
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[](https://gitpod.io/from-referrer/)
|
new-contributor
t-algebra
awaiting-author
label:t-algebra$ |
109/0 |
Mathlib.lean,Mathlib/Algebra/Group/SemigroupPow.lean |
2 |
7 |
['ScottCarnahan', 'github-actions', 'wwylele'] |
nobody |
13-57751 13 days ago |
41-48698 41 days ago |
0-115 1 minute |
| 40225 |
localparty author:localparty |
feat(RingTheory/LaurentSeries): leibniz product rule for derivative |
This PR adds the Leibniz product rule (`(f * g)' = f' * g + f * g'`) for the
first formal derivative on `LaurentSeries R` (R a commutative ring).
The first derivative is already packaged in
`Mathlib/RingTheory/LaurentSeries.lean` as
```lean
def derivative (R : Type*) {V : Type*} [AddCommGroup V] [Semiring R] [Module R V] :
LaurentSeries V →ₗ[R] LaurentSeries V :=
hasseDeriv R 1
```
with a `derivative_*` family of theorems (`derivative_apply`,
`derivative_iterate`, `derivative_iterate_coeff`). The Leibniz product rule
was missing. This PR fills that gap, adding `derivative_mul` alongside the
existing `derivative_*` family.
The proof is direct on coefficients via `HahnSeries.coeff_mul` and an
`addAntidiagonal` shift-bijection (matching the style of the existing
`hasseDeriv_*` lemmas). Five private helper lemmas factor the
coefficient-side calculation:
- `derivative_coeff` — clean coefficient formula at k = 1
- `support_derivative_subset` — `(derivative R f).support ⊆ (· - 1) '' f.support`
- `isPWO_shifted_support` — PWO preserved by the shift-by-(-1)
- `sum_bij_left` / `sum_bij_right` — `Finset.sum_nbij'` shift-reindexings
Total addition: ~85 LOC (5 private helpers + the public `derivative_mul`).
## Related future work
Full `Derivation` packaging for `LaurentSeries.hasseDeriv` (matching
`PowerSeries.derivative`-as-`Derivation` at
`Mathlib/RingTheory/PowerSeries/Derivative.lean:102`) is a natural follow-up,
since this Leibniz rule would discharge the `leibniz'` field. Out of scope
for this PR; can be a separate follow-up "LaurentSeries algebra-of-derivations
API" PR.
## Provenance
This lemma surfaced during work on a Lean 4 formalization of equisingular
flat connections (Connes–Marcolli 2008, Ch IV §6.4), where `LaurentSeries ℂ`
serves as the base ring for the ℂ((t))-module connection-matrix substrate.
The Leibniz rule is needed for the category-of-connection-preserving-maps
intertwining condition.
|
t-ring-theory
new-contributor
awaiting-author
LLM-generated
|
104/0 |
Mathlib/RingTheory/LaurentSeries.lean |
1 |
5 |
['github-actions', 'grunweg', 'localparty'] |
nobody |
13-55445 13 days ago |
13-62643 13 days ago |
0-8124 2 hours |
| 38310 |
ZRTMRH author:ZRTMRH |
feat(Combinatorics/Quiver/Schreier): word evaluation and reachability |
Adds word evaluation and reachability results to the Schreier graph API.
* `SchreierGraph.evalWord` : evaluates a word `List (S × Bool)` as an element of the ambient group, where `(s, true)` contributes `ι s` and `(s, false)` contributes `(ι s)⁻¹`.
* `SchreierGraph.evalWord_eq_lift` : agreement with `FreeGroup.lift`.
* `SchreierGraph.evalWord_mem_closure` : every word evaluates into the subgroup generated by `ι`.
* `SchreierGraph.pathFromWord` : a Bool-tagged word yields a path in `Symmetrify (SchreierGraph V ι)` from `x` to `evalWord ι w • x`.
* `SchreierGraph.reachable_iff` : two vertices are connected by a path in the symmetrification iff some element of the subgroup closure carries one to the other.
Follow-up to #36320.
This PR was written with AI assistance (Claude). The code has been reviewed by the author.
---
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-->
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-combinatorics
large-import
LLM-generated
|
157/0 |
Mathlib/Combinatorics/Quiver/Schreier.lean |
1 |
2 |
['github-actions'] |
b-mehta assignee:b-mehta |
13-32490 13 days ago |
58-53084 58 days ago |
58-52524 58 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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[](https://gitpod.io/from-referrer/)
|
t-data
new-contributor
|
25/0 |
Mathlib.lean,Mathlib/Data/Finite/Option.lean |
2 |
14 |
['AlexBrodbelt', 'github-actions', 'plp127', 'themathqueen'] |
joneugster assignee:joneugster |
13-32478 13 days ago |
30-1537 30 days ago |
30-1591 30 days |
| 38348 |
mirajcs author:mirajcs |
feat(Geometry/Curve): add Frenet–Serret framework |
---
This PR introduces a basic formalization of smooth parametrized curves in `ℝ³`
(`EuclideanSpace ℝ (Fin 3)`) together with the Frenet frame and partial proofs
of the Frenet–Serret formulas.
Main contributions:
* Define `ParametrizedDifferentiableCurve` as a smooth map on an open interval.
* Define arc length and arc-length parametrization.
* Define geometric quantities:
- curvature `κ(t) = ‖α''(t)‖`
- tangent, normal, and binormal vector fields
- torsion via `‖B'(t)‖`
* Introduce the `FrenetFrame` structure.
* Prove key Frenet–Serret formulas:
- `T' = κ • N`
- `B' = -τ • N`
- `N' = -κ • T + τ • B`
The implementation relies on existing analysis and inner product space
infrastructure, as well as properties of the cross product in `ℝ³`.
Some intermediate lemmas about orthogonality and cross-product identities
are included.
At present, some results assume nonvanishing curvature/torsion and include
auxiliary hypotheses about derivatives. These can be streamlined in future work.
This development is intended as a foundation for further formalization of
classical differential geometry (curves and surfaces).
---
|
new-contributor
t-differential-geometry
awaiting-author
|
525/0 |
Mathlib.lean,Mathlib/Geometry/Curves/Basic.lean,Mathlib/Geometry/Curves/FrenetFrame.lean |
3 |
19 |
['bryangingechen', 'github-actions', 'mathlib-merge-conflicts', 'mirajcs', 'ocfnash', 'vihdzp', 'wwylele'] |
nobody |
13-29583 13 days ago |
50-63690 50 days ago |
6-55291 6 days |
| 39550 |
RaggedR author:RaggedR |
feat(Combinatorics/SimpleGraph): Sabidussi representation theorem |
This proves Sabidussi's representation theorem: if a group G acts transitively on the vertices of a graph Γ while preserving adjacency, then Γ is isomorphic to the coset graph `Sab(G, Gᵥ, D)` where `Gᵥ` is the stabilizer of a basepoint and `D = {g ∈ G : Γ.Adj v (g • v)}` is the connection set.
For arc-transitive (symmetric) graphs, the connection set D is a single double coset HaH, giving the classical Sabidussi coset graph Sab(G, H, HaH). For merely vertex-transitive graphs, D may be a union of several double cosets.
The connection set D is shown to satisfy the IsConnectionSet axioms for the stabilizer subgroup: it is stable under left and right multiplication by stabilizer elements (since the stabilizer fixes v and the action preserves adjacency), closed under inversion (since the graph is undirected), and disjoint from the stabilizer (since the graph has no loops). The orbit-stabilizer equivalence V ≃ G ⧸ Gᵥ is then shown to preserve adjacency in both directions, completing the isomorphism.
The definitions and proofs are from my honours thesis (*Symmetric Graphs and their Quotients*, arXiv:1306.4798).
Depends on #39548.
---
LLM tools were used to assist with Lean formalization. The mathematical content is the author's own work. |
t-combinatorics
new-contributor
LLM-generated
|
423/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Action.lean,Mathlib/Combinatorics/SimpleGraph/CosetGraph.lean,Mathlib/Combinatorics/SimpleGraph/Representation.lean |
4 |
6 |
['RaggedR', 'github-actions', 'mathlib-bors', 'mathlib-merge-conflicts'] |
nobody |
13-29101 13 days ago |
25-84516 25 days ago |
4-52121 4 days |
| 39551 |
RaggedR author:RaggedR |
feat(Combinatorics/SimpleGraph): Lorimer's theorem and quotient graphs |
This completes the algebraic theory of symmetric graphs by proving Lorimer's theorem (both directions) and the Lorimer quotient theorem, building on the Sabidussi representation theorem from #39550.
Lorimer's theorem characterizes symmetric (arc-transitive) graphs in terms of coset graphs. The forward direction shows that Sab(G, H, HaH) is arc-transitive whenever a is an involution not in H. The proof establishes local transitivity at the identity coset by exploiting the double coset decomposition of neighbors, then transports it to all vertices by conjugation. The reverse direction shows that every arc-transitive graph's connection set is a single double coset GᵥaGᵥ, where a is the element swapping an arc (v, w). This a satisfies a ∉ Gᵥ and a² ∈ Gᵥ.
The quotient theorem shows that the quotient of Sab(G, H, D) by an overgroup K ≥ H (with D ∩ K = ∅) is isomorphic to Sab(G, K, KDK) where KDK is the expanded connection set. The isomorphism is witnessed by Equiv.refl — the quotient graph and the coset graph with expanded connection set are the same graph up to the identity map on G ⧸ K.
Together with #39530, #39548, and #39550, this gives a complete formalization of Chapters 1–2 of arXiv:1306.4798.
Depends on #39550.
---
LLM tools were used to assist with Lean formalization. The mathematical content is the author's own work. |
t-combinatorics
new-contributor
LLM-generated
|
755/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Action.lean,Mathlib/Combinatorics/SimpleGraph/CosetGraph.lean,Mathlib/Combinatorics/SimpleGraph/QuotientGraph.lean,Mathlib/Combinatorics/SimpleGraph/Representation.lean,Mathlib/Combinatorics/SimpleGraph/Symmetric.lean |
6 |
6 |
['RaggedR', 'github-actions', 'mathlib-bors', 'mathlib-merge-conflicts'] |
nobody |
13-29081 13 days ago |
25-84517 25 days ago |
4-51374 4 days |
| 39695 |
RaggedR author:RaggedR |
feat(Archive): Zhou-3 arc-transitivity and Lorimer quotient to Zhou-6 |
The Zhou-3 graph (Foster census F182A, 182 vertices, cubic) has an imprimitive block system of 91 blocks of size 2. This PR proves the block system is invariant under the full PSL(2,13) action via closure induction on the generators, with a pigeonhole argument for the inverse case. The setwise stabilizer of the block containing vertex 0 is D₁₂ (dihedral of order 12), which contains the point stabilizer S₃ at index 2.
With the block structure established, Lorimer's quotient theorem (from #39551) is instantiated for the first time on a concrete graph: the quotient of Sab(PSL(2,13), S₃, D) by D₁₂ is isomorphic to Sab(PSL(2,13), D₁₂, D₁₂·D·D₁₂). The two hypotheses — H ≤ K and D ∩ K = ∅ — are verified, the first using the closure block invariance theorem and the second by observing that any element of K maps vertex 0 into {0, 137}, but neither is a neighbor of 0.
Arc-transitivity of Zhou-3 is proved via Lorimer's forward theorem: the connection set is a single double coset S₃·a·S₃ where a is an explicit involution (a word of length 9 in the generators) that swaps vertex 0 with its neighbor 3.
This depends on the Sabidussi/Lorimer chain (#39530, #39548, #39550, #39551) and on #39654 for the Zhou-3 Sabidussi representation and SabidussiWitness infrastructure. |
t-combinatorics
new-contributor
LLM-generated
merge-conflict
|
8575/0 |
Archive.lean,Archive/BolzaSurface.lean,Archive/ClayworthSabidussi.lean,Archive/ClayworthSurface.lean,Archive/HeawoodSurface.lean,Archive/KleinSurface.lean,Archive/VoltageGraphs.lean,Archive/ZhouGraph.lean,Mathlib.lean,Mathlib/Combinatorics/CellularSurface.lean,Mathlib/Combinatorics/SimpleGraph/Action.lean,Mathlib/Combinatorics/SimpleGraph/CosetGraph.lean,Mathlib/Combinatorics/SimpleGraph/QuotientGraph.lean,Mathlib/Combinatorics/SimpleGraph/Representation.lean,Mathlib/Combinatorics/SimpleGraph/SabidussiWitness.lean,Mathlib/Combinatorics/SimpleGraph/Symmetric.lean |
16 |
4 |
['github-actions', 'mathlib-bors', 'mathlib-merge-conflicts'] |
nobody |
13-29066 13 days ago |
26-72185 26 days ago |
0-2819 46 minutes |
| 39698 |
RaggedR author:RaggedR |
feat(Archive): Meinhold family — five Sabidussi coset graphs of G₂(2) |
Five coset graphs of the exceptional Chevalley group G₂(2), each arising as Sab(G₂(2), K, D) for intermediate subgroups C₃ ≤ K ≤ G₂(2). The Clayworth graph (4032 vertices, cubic, genus 505) is the base case K = C₃.
Meinhold-72 has 72 vertices, is 7-regular with girth 4, via K = PSL(3,2). Meinhold-504 has 504 vertices, is 24-regular with girth 4, via S₄. Meinhold-576 has 576 vertices, is 7-regular with girth 6, via C₇:C₃. Meinhold-1344 has 1344 vertices, is 9-regular with girth 6, via C₃×C₃. Meinhold-2016 has 2016 vertices, is 6-regular with girth 8, via C₆. Each graph has a Sabidussi isomorphism proving arc-transitivity, is connected, and has a shortest cycle witness establishing the girth.
The Langer graph (63 vertices, 6-regular) is proved not to be a quotient of Clayworth: the three G₂(2)-invariant 63-block systems have quotient degrees 24, 32, 32, none of which equals 6.
The Clayworth graph itself is proved to be a Sabidussi coset graph Sab(G₂(2), C₃, D) with two generators of orders 7 and 6 preserving adjacency, and BFS witness words establishing transitivity. The current approach is admittedly brute-force — the Clayworth graph is defined via a flat adjacency array and the quotient maps are verified by native_decide on concrete vertex data. A more algebraic treatment, deriving the Meinhold graphs directly from the coset lattice of G₂(2) without storing explicit adjacency data, would be cleaner and is planned as a follow-up.
These graphs arise from my honours thesis on symmetric graph quotients (arXiv:1306.4798). The Meinhold family is named after Nick Meinhold, co-founder of Imagineering Melbourne.
Depends on #39654 (CellularSurface instances, Clayworth graph).
---
LLM tools were used to assist with Lean formalization. The mathematical content is the author's own work. |
t-combinatorics
LLM-generated
new-contributor
merge-conflict
|
6884/0 |
Archive.lean,Archive/BolzaSurface.lean,Archive/ClayworthGraph.lean,Archive/ClayworthSurface.lean,Archive/HeawoodSurface.lean,Archive/KleinSurface.lean,Archive/LangerGraph.lean,Archive/Meinhold1344.lean,Archive/Meinhold2016.lean,Archive/Meinhold504.lean,Archive/Meinhold576.lean,Archive/MeinholdGraphs.lean,Archive/PrimitiveGraphs.lean,Archive/TriangleGroupSurface.lean,Archive/VoltageGraphs.lean,Archive/ZhouGraph.lean,Mathlib.lean,Mathlib/Combinatorics/CellularSurface.lean,Mathlib/Combinatorics/SimpleGraph/Action.lean,Mathlib/Combinatorics/SimpleGraph/CosetGraph.lean,Mathlib/Combinatorics/SimpleGraph/QuotientGraph.lean,Mathlib/Combinatorics/SimpleGraph/Representation.lean,Mathlib/Combinatorics/SimpleGraph/SabidussiWitness.lean,Mathlib/Combinatorics/SimpleGraph/Symmetric.lean |
24 |
5 |
['RaggedR', 'github-actions', 'mathlib-bors', 'mathlib-merge-conflicts'] |
nobody |
13-29065 13 days ago |
26-43946 26 days ago |
0-33004 9 hours |
| 39718 |
RaggedR author:RaggedR |
feat(Archive): dual Langer graph and GH(2,2) non-self-duality |
This PR introduces the dual Langer graph, the line-collinearity graph of the split Cayley hexagon GH(2,2), and establishes the algebraic infrastructure for proving that it is not isomorphic to the Langer graph (the point-collinearity graph). Both graphs share the intersection array {6, 4, 4; 1, 1, 3} but are distinguished by the connectivity of their distance-3 subgraphs.
The key mathematical contribution is deriving the G₂(2) line-action from the point-action (already in Archive.LangerGraph) via the triangle-line bijection. Each line of GH(2,2) corresponds to a unique triangle in the Langer graph, and the point-action sends triangles to triangles, inducing an action on lines. The induced line-action preserves the share-a-vertex relation, which is proved algebraically using Finset.image_inter (injective maps commute with intersection) and Finset.image_nonempty (images preserve non-emptiness). The equivariance of each generator is a 63-case native_decide verification, after which the word-level preservation follows by structural induction with no further computation.
Two sorries remain. The bridge theorem connecting dual Langer adjacency to the share-vertex relation is a native_decide that needs tuning for the kernel recursion limit. The non-isomorphism theorem, which uses d₃-subgraph connectivity as a distinguishing invariant transported to all vertices via the line-action, depends on this bridge. These will be closed in a follow-up once the computational proofs are optimized.
This PR depends on Archive.LangerGraph. |
t-combinatorics
new-contributor
merge-conflict
|
7203/0 |
Archive.lean,Archive/BolzaSurface.lean,Archive/ClayworthGraph.lean,Archive/ClayworthSurface.lean,Archive/DualLangerGraph.lean,Archive/HeawoodSurface.lean,Archive/KleinSurface.lean,Archive/LangerGraph.lean,Archive/Meinhold1344.lean,Archive/Meinhold2016.lean,Archive/Meinhold504.lean,Archive/Meinhold576.lean,Archive/MeinholdGraphs.lean,Archive/PrimitiveGraphs.lean,Archive/TriangleGroupSurface.lean,Archive/VoltageGraphs.lean,Archive/ZhouGraph.lean,Mathlib.lean,Mathlib/Combinatorics/CellularSurface.lean,Mathlib/Combinatorics/SimpleGraph/Action.lean,Mathlib/Combinatorics/SimpleGraph/CosetGraph.lean,Mathlib/Combinatorics/SimpleGraph/QuotientGraph.lean,Mathlib/Combinatorics/SimpleGraph/Representation.lean,Mathlib/Combinatorics/SimpleGraph/SabidussiWitness.lean,Mathlib/Combinatorics/SimpleGraph/Symmetric.lean |
25 |
4 |
['github-actions', 'mathlib-bors', 'mathlib-merge-conflicts'] |
nobody |
13-29061 13 days ago |
26-41695 26 days ago |
0-21857 6 hours |
| 39649 |
RaggedR author:RaggedR |
feat(Archive): Langer graph, Tutte 12-cage, and structural equality via G₂(2) |
This adds three constructions from the theory of generalized polygons over finite fields to Archive/, and proves they give the same graph using the Sabidussi representation theorem from #39548 and #39550.
The Langer graph (63 vertices, 6-regular) is the collinearity graph of the split Cayley hexagon GH(2,2). It has three independent definitions: algebraically via the Zorn product on Q(6,2) (`langerSimpleGraph`), geometrically as the distance-2 graph of the Tutte 12-cage restricted to points (`tutte12Distance2Graph`), and group-theoretically as the coset graph Sab(G₂(2), H₁₉₂, D) where H₁₉₂ is the point stabiliser of order 192 (`langerCosetGraph`).
The main result `langer_iso_tutte12_distance2` proves the algebraic and geometric definitions are isomorphic by composing two Sabidussi isos through a common coset graph. Both graphs are G₂(2)-invariant and arc-transitive, so `sabidussiIso` maps each to Sab(G₂(2), Stab(0), D). Since they have the same 6 neighbors at vertex 0, their connection sets are equal (`dist2_connectionSet_eq`), so both map to the same coset graph. The proof is `langerSabidussiIso.trans dist2SabidussiIso.symm`.
Also included: the Tutte 12-cage (126 vertices, semisymmetric because GH(2,2) has no polarity over F₂), and self-orthogonality of the Q(6,2) parity-check matrix.
Generator data was produced by `compute_g2_generators.py` in the source repo at RaggedR/symmetric-graphs.
Depends on #39548 (coset graphs), #39550 (Sabidussi representation), #39551 (quotient graphs). The `sabidussiIso`, `connectionSet`, and `GraphAction` from those PRs are load-bearing in the equivalence proof.
---
LLM tools were used to assist with Lean formalization. The mathematical content is the author's own work. |
t-combinatorics
new-contributor
LLM-generated
|
1576/0 |
Archive.lean,Archive/LangerGraph.lean,Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Action.lean,Mathlib/Combinatorics/SimpleGraph/CosetGraph.lean,Mathlib/Combinatorics/SimpleGraph/QuotientGraph.lean,Mathlib/Combinatorics/SimpleGraph/Representation.lean,Mathlib/Combinatorics/SimpleGraph/Symmetric.lean |
8 |
9 |
['RaggedR', 'github-actions', 'mathlib-bors', 'mathlib-merge-conflicts', 'wwylele'] |
nobody |
13-29031 13 days ago |
25-84519 25 days ago |
1-57766 1 day |
| 39650 |
RaggedR author:RaggedR |
feat(Archive): dodecahedron, Petersen graph, 3-cube, and antipodal quotients |
This defines the dodecahedron graph (Fin 20, 3-regular, 30 edges), the Petersen graph (Fin 10, as the antipodal quotient of the dodecahedron), and the 3-cube Q₃ (Fin 8, 3-regular, 12 edges) with its antipodal quotient proved equal to K₄.
The Petersen graph is defined as `dodecahedronGraph.quotientGraph dodecAntipodalMap`, using the quotient graph infrastructure from #39551. The antipodal involution on the dodecahedron identifies each vertex with the vertex at distance 5 (diametrically opposite). The 3-cube's antipodal involution (bitwise complement) quotients to K₄ = ⊤.
The graph definitions and quotient constructions follow Langer, arXiv:1306.4798.
Depends on #39551 (quotient graphs and 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
|
1097/0 |
Archive.lean,Archive/NamedGraphs.lean,Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Action.lean,Mathlib/Combinatorics/SimpleGraph/CosetGraph.lean,Mathlib/Combinatorics/SimpleGraph/QuotientGraph.lean,Mathlib/Combinatorics/SimpleGraph/Representation.lean,Mathlib/Combinatorics/SimpleGraph/Symmetric.lean |
8 |
9 |
['RaggedR', 'github-actions', 'mathlib-bors', 'mathlib-merge-conflicts', 'vihdzp'] |
nobody |
13-28993 13 days ago |
25-84521 25 days ago |
1-81310 1 day |
| 39651 |
RaggedR author:RaggedR |
feat(Archive): voltage graphs on K₂, Heawood and Möbius-Kantor graphs |
This defines `voltageGraphK2`, a cubic covering construction on K₂ with cyclic voltage group `ZMod m`. Vertices are `Fin 2 × ZMod m`, with edges `(0, g) ~ (1, g + vⱼ)` for three voltages.
Two instances are provided. The Heawood graph (F014A) is `voltageGraphK2 7 0 4 6`, the Levi graph of the Fano plane PG(2,2): 14 vertices, cubic, girth 6, equal to Sab(G₄₂, C₃) where G₄₂ = Z₇ ⋊ Z₆. The Möbius-Kantor graph (F016A) is `voltageGraphK2 8 0 1 3`, the generalised Petersen graph GP(8,3): 16 vertices, cubic, girth 6, equal to Sab(GL(2,3), C₃).
Both quotient to K₂ under the fibre projection `Prod.fst`, recovering the base graph.
The voltage graph construction and named graph instances follow Langer, arXiv:1306.4798, and Gross & Tucker, *Topological Graph Theory*.
Depends on #39551 (quotient graphs and 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
|
1113/0 |
Archive.lean,Archive/VoltageGraphs.lean,Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Action.lean,Mathlib/Combinatorics/SimpleGraph/CosetGraph.lean,Mathlib/Combinatorics/SimpleGraph/QuotientGraph.lean,Mathlib/Combinatorics/SimpleGraph/Representation.lean,Mathlib/Combinatorics/SimpleGraph/Symmetric.lean |
8 |
7 |
['RaggedR', 'github-actions', 'mathlib-bors', 'mathlib-merge-conflicts'] |
nobody |
13-28951 13 days ago |
25-84522 25 days ago |
1-50237 1 day |
| 39653 |
RaggedR author:RaggedR |
feat(Combinatorics): cellular surfaces, CSS quantum codes, and k = 2g |
This formalises CSS quantum error-correcting codes from surface tilings, following Breuckmann & Terhal (arXiv:1506.04029).
CellularSurface encodes the combinatorial data of a 2-cell embedding of a graph on a closed surface: vertices, edges with endpoints, and faces whose boundaries are closed directed trails. The boundary operators ∂₁ (vertex-edge incidence) and ∂₂ (edge-face boundary) are matrices over F₂.
The theorem `d1_mul_d2_eq_zero` proves ∂₁ ∘ ∂₂ = 0 (the chain complex condition) from the closed walk axiom: each vertex in a face boundary is visited an even number of times, so the sum vanishes in characteristic 2. The theorem `d1_rank_eq` proves rank(∂₁) = V − 1 for connected graphs — the kernel of ∂₁ᵀ is span{1} because elements of the kernel assign equal values to adjacent vertices, and connectivity propagates this to all vertices. The theorem `d2_rank_eq` proves rank(∂₂) = F − 1 for connected dual graphs with the two-sides condition (each edge borders exactly 2 faces).
The main result `css_k_eq_2g` gives the number of logical qubits k = 2g. This is pure arithmetic: k = E − rank(∂₁) − rank(∂₂) = E − (V−1) − (F−1) = E − V − F + 2 = 2g by Euler's formula.
No `native_decide` — all proofs are structural.
---
LLM tools were used to assist with Lean formalization. The mathematical content is the author's own work. |
t-combinatorics
new-contributor
LLM-generated
|
1236/0 |
Mathlib.lean,Mathlib/Combinatorics/CellularSurface.lean,Mathlib/Combinatorics/SimpleGraph/Action.lean,Mathlib/Combinatorics/SimpleGraph/CosetGraph.lean,Mathlib/Combinatorics/SimpleGraph/QuotientGraph.lean,Mathlib/Combinatorics/SimpleGraph/Representation.lean,Mathlib/Combinatorics/SimpleGraph/Symmetric.lean |
7 |
8 |
['RaggedR', 'github-actions', 'mathlib-bors', 'mathlib-merge-conflicts'] |
nobody |
13-28928 13 days ago |
25-84523 25 days ago |
1-5054 1 day |
| 39654 |
RaggedR author:RaggedR |
feat(Archive): CellularSurface instances (genus 1, 2, 3, 505) |
This PR provides concrete CellularSurface instances for the four CSS surface codes: Heawood (genus 1), Bolza (genus 2), Klein quartic (genus 3), and Clayworth (genus 505). Each surface embeds a cubic arc-transitive graph arising from a Sabidussi coset construction, and the chain complex d1, d2 satisfies the boundary condition d1 · d2 = 0 that gives the CSS orthogonality. Together with #39653, which proves that k = 2g for any surface tiling, these instances yield formally verified CSS codes with parameters [[21, 2]], [[24, 4]], [[84, 6]], and [[6048, 1010]] respectively.
The Heawood and Bolza surfaces are small enough that all axioms are verified by decide. Both include bridge theorems proving the CellularSurface graph matches the corresponding voltage graph on K₂ from VoltageGraphs.lean. The Klein quartic embeds the Klein graph (56 vertices) from the triangle group Δ(2,3,7) acting on PSL(2,7), with a Sabidussi proof. The Clayworth surface is the interesting case: 4032 vertices, 6048 edges, 1008 dodecagonal faces, genus 505. Rather than storing tens of thousands of array entries, the construction works algebraically from the regular representation of G₂(2) on 12096 darts, using a general TriangleGroupSurface module that derives a CellularSurface from any finite quotient of Δ(2,3,r). The key identity is that T = RS implies the far endpoint of each dart has the same vertex as its R-successor, because S preserves vertex cosets.
There are five sorrys. Four are dual graph regularity theorems (Heawood 6-regular, Bolza 8-regular, Klein 7-regular, Clayworth 12-regular), all of which should be closable by native_decide. The fifth is the Clayworth Sabidussi isomorphism, where the individual native_decide checks all pass but the kernel struggles to assemble the SabidussiWitness structure for 4032 vertices. These are left for a follow-up.
Depends on #39653 (CellularSurface, k = 2g). Cross-references #39649 (Langer/G₂(2) ecosystem), #39651 (voltage graphs). |
t-combinatorics
new-contributor
LLM-generated
|
2390/0 |
Archive.lean,Archive/BolzaSurface.lean,Archive/ClayworthSurface.lean,Archive/HeawoodSurface.lean,Archive/KleinSurface.lean,Archive/TriangleGroupSurface.lean,Archive/VoltageGraphs.lean,Mathlib.lean,Mathlib/Combinatorics/CellularSurface.lean,Mathlib/Combinatorics/SimpleGraph/Action.lean,Mathlib/Combinatorics/SimpleGraph/CosetGraph.lean,Mathlib/Combinatorics/SimpleGraph/QuotientGraph.lean,Mathlib/Combinatorics/SimpleGraph/Representation.lean,Mathlib/Combinatorics/SimpleGraph/SabidussiWitness.lean,Mathlib/Combinatorics/SimpleGraph/Symmetric.lean |
15 |
10 |
['RaggedR', 'github-actions', 'mathlib-bors', 'mathlib-merge-conflicts'] |
nobody |
13-28890 13 days ago |
26-63319 26 days ago |
0-57608 16 hours |
| 39939 |
8e7 author:8e7 |
feat(Combinatorics/SimpleGraph/TreeDecomp): clique lemma for tree decompositions |
This PR proves the treewidth of a complete graph is `#V - 1` for finite V, and consequently, `G.cliqueNum - 1 <= G.treeWidth`. This PR follows #38334, and is a direct application of #39864.
AI Usage: The proofs were developed with the help of Claude Code. I vouch for all the code written and understand the content fully.
---
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[](https://gitpod.io/from-referrer/)
|
t-combinatorics
new-contributor
LLM-generated
blocked-by-other-PR
|
588/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Acyclic.lean,Mathlib/Combinatorics/SimpleGraph/Connectivity/Subgraph.lean,Mathlib/Combinatorics/SimpleGraph/TreeDecomp.lean |
4 |
5 |
['8e7', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
13-27714 13 days ago |
21-61700 21 days ago |
0-3952 1 hour |
| 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.
---
<!-- Your PR title will become the first line of the commit message.
In this box, the text above the `---` (if not empty) will be appended
to the commit message, and can be used to give additional context or
details. Please leave a blank newline before the `---`, otherwise GitHub
will format the text above it as a title.
For details on the "pull request lifecycle" in mathlib, please see:
https://leanprover-community.github.io/contribute/index.html
In particular, note that most reviewers will only notice your PR
if it passes the continuous integration checks.
Please ask for help on https://leanprover.zulipchat.com if needed.
When merging, all the commits will be squashed into a single commit
listing all co-authors.
Co-authors in the squash commit are gathered from two sources:
First, all authors of commits to this PR branch are included. Thus,
one way to add co-authors is to include at least one commit authored by
each co-author among the commits in the pull request. If necessary, you
may create empty commits to indicate co-authorship, using commands like so:
git commit --author="Author Name <author@email.com>" --allow-empty -m "add Author Name as coauthor"
Second, co-authors can also be listed in lines at the very bottom of
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If you are moving or deleting declarations, please include these lines
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Moves:
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Deletions:
- Nat.bit1_add_bit1
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If this PR depends on other PRs, please list them below this comment,
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- [ ] depends on: #xyz [optional extra text]
-->
- [ ] depends on: #38027
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-combinatorics
LLM-generated
|
382/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/TreeDecomp.lean |
2 |
7 |
['8e7', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
13-27013 13 days ago |
13-27877 13 days ago |
13-49370 13 days |
| 39282 |
Sfgangloff author:Sfgangloff |
feat(SymbolicDynamics): add union morphism lemma for LanguageOn |
In symbolic dynamics.
This PR proves that taking the language over a finite shape commutes with unions of configuration sets:
$LanguageOn (X \cup Y) U = LanguageOn X U \cup LanguageOn Y U$
The proof is a direct unfolding of definitions: a pattern in the language of $X \cup Y$ comes from restricting a configuration $x ∈ X \cup Y$, and splitting on whether $x \in X$ or $x \in Y$ yields the corresponding inclusion in either $LanguageOn X U$ or $LanguageOn Y U$. The converse direction rebuilds a witness in $X \cup Y$ from either side of the union.
Related to issue #39252 |
t-dynamics
new-contributor
awaiting-author
|
9/1 |
Mathlib/Dynamics/SymbolicDynamics/Basic.lean |
1 |
5 |
['Sfgangloff', 'github-actions', 'sgouezel'] |
sgouezel assignee:sgouezel |
13-2681 13 days ago |
13-2681 13 days ago |
23-7818 23 days |
| 39347 |
Sfgangloff author:Sfgangloff |
feat(SymbolicDynamics): refactor of Pattern and shift-invariance of shape languages for subshifts |
## Summary
This PR refactors Pattern.mulShift in Mathlib/Dynamics/SymbolicDynamics/Basic.lean and uses the cleaner definition to prove shift-invariance of the language of a subshift on a finite shape.
## Changes
Pattern.mulShift now returns a Pattern instead of a configuration (more natural).
- Old type: Pattern.mulShift : Pattern A G → G → (G → A)
- New type: Pattern.mulShift : Pattern A G → G → Pattern A G
- The result carries its support (p.support.image (v * ·)) and the
default-outside-support proof, so callers don't have to re-derive them.
The [IsLeftCancelMul G] hypothesis is moved to the lemmas that actually use it.
- The definition Pattern.mulShift itself no longer needs left-cancellation (it only
chooses a preimage noncomputably).
- The hypothesis is now stated on mulShift_config_apply_mul_left_of_mem and
mulOccursInAt_eq_cylinder directly, instead of being a section-level variable.
Renames following the type change.
- mulShift_apply_mul_left_of_mem → mulShift_config_apply_mul_left_of_mem (because we
now write (p.mulShift v).config instead of p.mulShift v).
New @[simp] and @[ext] lemmas for Pattern.
- Pattern.ext: two patterns are equal iff their supports agree and their
configurations agree on the support.
- Pattern.mulShift_support: the support of p.mulShift v is p.support.image (v * ·).
- Pattern.fromConfig_support: the support of fromConfig x U is U.
- Pattern.fromConfig_config_of_mem: on its support, fromConfig x U agrees with x.
New lemma Pattern.fromConfig_mulShift.
For a left inverse g' * g = 1, shifting the pattern fromConfig x U by g equals
fromConfig (mulShift g' x) (U.image (g * ·)).
New theorem MulSubshift.languageOn_image_mulShift.
For a subshift Y and elements g, g' with g * g' = 1 and g' * g = 1:
(fun p => p.mulShift g) '' Y.languageOn U = Y.languageOn (U.image (g * ·))
i.e. the language on the translated shape is exactly the image of the language on U
under the pattern-shift map. This gives a bijection between Y.languageOn U and
Y.languageOn (U.image (g * ·)), with inverse p ↦ p.mulShift g'. Stated for
left-cancellative monoids with an invertible element.
Updated docstrings for Pattern.mulShift and the renamed lemma to reflect the
bundled-Pattern return type and clarify which results need [IsLeftCancelMul G]. |
t-dynamics
new-contributor
awaiting-author
|
142/48 |
Mathlib/Dynamics/SymbolicDynamics/Basic.lean |
1 |
6 |
['github-actions', 'sgouezel'] |
sgouezel assignee:sgouezel |
13-2060 13 days ago |
13-2060 13 days ago |
22-25856 22 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 |
12-62851 12 days ago |
12-63700 12 days ago |
12-63140 12 days |
| 32960 |
dleijnse author:dleijnse |
feat(FieldTheory): adjoin pth roots |
For a field `k` of exponential characteristic `p` and a subset `S` of `k`, we define the extension of `k` obtained by adjoining all `p`-th roots of elements of `S`. We prove that this is a purely inseparable extension, and provide some basic API.
---
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[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
awaiting-author
merge-conflict
label:t-algebra$ |
131/0 |
Mathlib.lean,Mathlib/FieldTheory/PurelyInseparable/AdjoinPthRoots.lean |
2 |
14 |
['artie2000', 'chrisflav', 'dleijnse', 'erdOne', 'github-actions', 'leanprover-radar', 'mathlib-merge-conflicts'] |
erdOne assignee:erdOne |
12-48050 12 days ago |
172-61100 172 days ago |
10-12739 10 days |
| 33756 |
dleijnse author:dleijnse |
feat(FieldTheory): root of polynomial with p power coefficients |
This PR proves the results in https://stacks.math.columbia.edu/tag/031V, which gives a criterion for a root of a polynomial over a field `k` of characteristic `p` to be a `p`-th power.
---
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[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
merge-conflict
label:t-algebra$ |
88/0 |
Mathlib.lean,Mathlib/FieldTheory/PthPowerCoeffPoly.lean |
2 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
12-47925 12 days ago |
unknown |
0-0 0 seconds |
| 37281 |
AltSoKoly author:AltSoKoly |
Update EdgeConnectivity.lean |
---
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[](https://gitpod.io/from-referrer/)
|
t-combinatorics
new-contributor
awaiting-author
merge-conflict
|
123/0 |
Mathlib/Combinatorics/SimpleGraph/Connectivity/EdgeConnectivity.lean,Mathlib/Data/Int/GCD.lean |
2 |
6 |
['github-actions', 'grunweg', 'mathlib-merge-conflicts', 'themathqueen'] |
nobody |
12-45582 12 days ago |
82-62093 82 days ago |
0-432 7 minutes |
| 39735 |
allenhaozhu author:allenhaozhu |
feat(LinearAlgebra/Matrix): regularized inverse limit and trace continuity |
Add `Matrix.regularizedInv_mul_tendsto_one` and the trace corollaries `Matrix.trace_regularizedInv_mul_tendsto` and `Matrix.trace_regularizedInv_mul_tendsto_card`: for a square matrix `M` over a normed field with `det M ≠ 0`, the Tikhonov-regularized expression `(M + lam • 1)⁻¹ * M` tends to the identity matrix as the scalar `lam` tends to zero, and consequently its trace tends to `tr 1 = (Fintype.card d : R)`. The proofs compose `NormedRing.inverse_continuousAt`, `continuousAt_matrix_inv`, `Matrix.nonsing_inv_mul`, and `Continuous.matrix_trace`; no new definitions are added. These lemmas are useful in matrix-regularization limit arguments arising in numerical linear algebra (Tikhonov-regularized least squares, ridge regression) and in statistics.
---
## AI-assistance disclosure
Per the Mathlib [AI-use policy](https://leanprover-community.github.io/contribute/index.html#use-of-ai):
- **Tool.** Claude Code (Anthropic) with the Claude Sonnet 4.6 model.
- **Use.** I specified the target lemma statements and the proof strategy; the assistant drafted Lean 4 tactic combinations against current Mathlib. I iterated on the proofs, verified each lemma builds under `lake build` from a clean checkout, and read the final code.
- **Vouching.** I have read every declaration in this file and can defend the proofs without further AI assistance. I welcome reviewer feedback on naming, namespace placement, and stylistic alignment with the surrounding Mathlib modules. |
t-algebra
new-contributor
LLM-generated
merge-conflict
label:t-algebra$ |
109/0 |
Mathlib.lean,Mathlib/LinearAlgebra/Matrix/InverseLimit.lean |
2 |
3 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
12-42632 12 days ago |
unknown |
0-0 0 seconds |
| 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 |
12-32833 12 days ago |
37-51703 37 days ago |
39-2973 39 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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-->
[](https://gitpod.io/from-referrer/)
|
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 |
12-32831 12 days ago |
25-78442 25 days ago |
41-47651 41 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 |
11-80140 11 days ago |
13-16855 13 days ago |
13-16295 13 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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-->
[](https://gitpod.io/from-referrer/)
|
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 |
11-33683 11 days ago |
11-36774 11 days ago |
69-60459 69 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 |
11-32314 11 days ago |
12-8386 12 days ago |
12-7826 12 days |
| 35287 |
arnoudvanderleer author:arnoudvanderleer |
feat(AlgebraicTopology/SimplicialSet): define isomorphisms in simplicial sets, and the coherent isomorphism simplicial set |
show that any edge in a simplicial set, that is the image of the forward edge of the coherent isomorphism under a simplicial set morphism, is an isomorphism.
---
[](https://gitpod.io/from-referrer/)
|
t-algebraic-topology
new-contributor
infinity-cosmos
awaiting-author
|
362/3 |
Mathlib.lean,Mathlib/AlgebraicTopology/SimplicialSet/CoherentIso.lean,Mathlib/AlgebraicTopology/SimplicialSet/CompStruct.lean,Mathlib/AlgebraicTopology/SimplicialSet/NerveCodiscrete.lean,Mathlib/AlgebraicTopology/SimplicialSet/StdSimplex.lean,Mathlib/CategoryTheory/CodiscreteCategory.lean |
6 |
129 |
['arnoudvanderleer', 'dagurtomas', 'github-actions', 'joelriou', 'mathlib-merge-conflicts', 'robin-carlier'] |
robin-carlier assignee:robin-carlier |
11-14697 11 days ago |
17-4806 17 days ago |
37-84499 37 days |
| 33247 |
sun123zxy author:sun123zxy |
feat(Mathlib/RingTheory/Ideal/Cotangent): dimension of cotangent spaces |
It is shown that the span rank of the maximal ideal of a local ring equals the dimension of the cotangent space
if the maximal ideal is finitely generated.
---
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- [ ] depends on: #33359
- [ ] depends on: #33361
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-ring-theory
|
39/0 |
Mathlib/RingTheory/Ideal/Cotangent.lean |
1 |
15 |
['erdOne', 'github-actions', 'mathlib-bors', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot', 'sun123zxy'] |
nobody |
11-6681 11 days ago |
11-6683 11 days ago |
14-79722 14 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 |
11-199 11 days ago |
11-1032 11 days ago |
11-844 11 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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[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
label:t-algebra$ |
6/0 |
Mathlib/Algebra/FreeAbelianGroup/Finsupp.lean |
1 |
5 |
['github-actions', 'plp127'] |
nobody |
10-85381 10 days ago |
12-2052 12 days ago |
12-1492 12 days |
| 38344 |
robo7179 author:robo7179 |
feat(SimpleGraph/Coloring/VertexColoring): Matching is 2 colorable |
---
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|
t-combinatorics
new-contributor
merge-conflict
|
51/0 |
Mathlib/Combinatorics/SimpleGraph/Coloring/VertexColoring.lean |
1 |
6 |
['SnirBroshi', 'github-actions', 'mathlib-merge-conflicts', 'vlad902'] |
b-mehta assignee:b-mehta |
10-66958 10 days ago |
10-66959 10 days ago |
46-71620 46 days |
| 33355 |
0xTerencePrime author:0xTerencePrime |
feat(Combinatorics/SimpleGraph/Connectivity): define vertex connectivity |
**AI Disclosure**: Developed with LLM assistance (Claude). All mathematical design decisions were made by the author.
---
This PR introduces the foundations of vertex connectivity for simple graphs, providing a counterpart to the edge connectivity theory in #32870.
### Main definitions
- `SimpleGraph.IsVertexReachable`: two vertices are `k`-vertex-reachable if they remain reachable after removing any set of strictly fewer than `k` vertices, using `G.induce sᶜ`.
- `SimpleGraph.IsVertexPreconnected`: a graph is `k`-vertex-preconnected if any two vertices are `k`-vertex-reachable.
- `SimpleGraph.IsVertexConnected`: a graph is `k`-vertex-connected if it is `k`-vertex-preconnected and has more than `k` vertices (`k + 1 ≤ ENat.card V`).
### Key lemmas
- `k = 0`: 0-connected ↔ nonempty; 0-preconnected always holds
- `k = 1`: 1-connected ↔ `Nontrivial V ∧ G.Preconnected`
- `anti` / `mono`: antitonic in `k`, monotonic in the graph |
new-contributor
t-combinatorics
LLM-generated
awaiting-author
merge-conflict
|
169/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Connectivity/VertexConnectivity.lean |
2 |
166 |
['0xTerencePrime', 'SnirBroshi', 'SproutSeeds', 'YaelDillies', 'github-actions', 'mathlib-merge-conflicts', 'vihdzp'] |
b-mehta assignee:b-mehta |
10-47355 10 days ago |
16-43819 16 days ago |
65-5110 65 days |
| 36210 |
vbeffara author:vbeffara |
feat(Combinatorics/SimpleGraph): definitions of graph contraction and graph minor |
A contraction is the image of a graph through a surjective function with connected fibers, and a minor is a contraction of a subgraph.
This PR shows that being a contraction is transitive, but does not show the same for minors because the proof is more involved, it will be in a subsequent PR. The definitions are in `Prop` and do not contain data, but I'm not sure if that was the right choice.
---
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|
t-combinatorics
new-contributor
awaiting-author
merge-conflict
|
151/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Contraction.lean,Mathlib/Combinatorics/SimpleGraph/Minor.lean |
3 |
9 |
['YaelDillies', 'github-actions', 'mathlib-merge-conflicts', 'robin-carlier', 'vbeffara'] |
b-mehta assignee:b-mehta |
10-45727 10 days ago |
50-67741 50 days ago |
53-32590 53 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 |
10-25163 10 days ago |
32-74344 32 days ago |
32-74144 32 days |
| 39697 |
sorrachai author:sorrachai |
feat(Data/Tree/Basic): add Membership instance, new notation, rename Tree |
Summary:
1. [Rename]([#CSLib > Splay tree PR: BinaryTree vs Tree @ 💬](https://leanprover.zulipchat.com/#narrow/channel/513188-CSLib/topic/Splay.20tree.20PR.3A.20BinaryTree.20vs.20Tree/near/596482765)) from Tree to BinaryTree, which propagates the changes to other files that use it.
2. Add membership instance, prove decidability of membership.
3. Add toListInOrder, toListPreOrder, toListPostOrder
Suggestion based on the discussion in the cslib [thread](https://leanprover.zulipchat.com/#narrow/channel/513188-CSLib/topic/Splay.20tree.20PR/near/596568391)[#CSLib > Splay tree PR @ 💬](https://leanprover.zulipchat.com/#narrow/channel/513188-CSLib/topic/Splay.20tree.20PR/near/596568391).
---
* depends on: #39707 |
new-contributor
awaiting-author
|
117/8 |
Mathlib/Data/Tree/Basic.lean |
1 |
8 |
['eric-wieser', 'github-actions', 'sorrachai'] |
nobody |
9-46834 9 days ago |
9-53164 9 days ago |
17-22788 17 days |
| 37071 |
ericluap author:ericluap |
feat: Dedekind completion of rationals is isomorphic to EReal |
|
t-order
new-contributor
awaiting-author
merge-conflict
|
128/4 |
Mathlib.lean,Mathlib/Data/EReal/Basic.lean,Mathlib/Data/EReal/DedekindCut.lean,Mathlib/Order/Completion.lean |
4 |
60 |
['ericluap', 'github-actions', 'mathlib-merge-conflicts', 'plp127', 'vihdzp', 'wwylele'] |
YaelDillies, bryangingechen, vihdzp assignee:bryangingechen assignee:YaelDillies assignee:vihdzp |
9-40511 9 days ago |
14-8829 14 days ago |
46-52403 46 days |
| 39465 |
RaggedR author:RaggedR |
feat(RingTheory/HopfAlgebra): delta operators and Rota's classification |
This formalizes the fundamental theorem of the umbral calculus: that the basic sequence of any delta operator is a sequence of binomial type.
A delta operator on R[X] is a shift-equivariant linear operator which is essentially a formal power series in the variable d/dx. Rota's classification theorem states that the images of monomials x^n under delta operators are sequences of binomial type.
This PR defines `IsBinomialType`, `IsShiftEquivariant`, `IsDeltaOperator`, `forwardDiff`, and `IsBasicSequence`. It proves that monomials and falling factorials are of binomial type, that the derivative and forward difference are delta operators, and that basic sequences are of binomial type (Rota's classification).
The mathematical content is from the first half of my masters thesis (arXiv:0907.3950). See also Rota, Kahaner, and Odlyzko, *Finite Operator Calculus* (JMAA 42, 1973) and Roman, *The Umbral Calculus* (Academic Press, 1984).
Depends on #39410.
---
LLM tools were used to assist with Lean formalization. The mathematical content is the author's own work. |
t-ring-theory
new-contributor
LLM-generated
merge-conflict
|
1386/0 |
Mathlib.lean,Mathlib/RingTheory/HopfAlgebra/BinomialType.lean,Mathlib/RingTheory/HopfAlgebra/DeltaOperator.lean,Mathlib/RingTheory/HopfAlgebra/Polynomial.lean |
4 |
9 |
['RaggedR', 'github-actions', 'mathlib-bors', 'mathlib-merge-conflicts', 'wwylele'] |
nobody |
9-38563 9 days ago |
25-84511 25 days ago |
0-78931 21 hours |
| 39498 |
RaggedR author:RaggedR |
feat(RingTheory/HopfAlgebra): umbral operators via generating functions |
## Umbral operators via generating functions
This PR completes the formalization of the finite operator calculus on `R[X]` over a ℚ-algebra. The entire umbral calculus — every theorem, every lemma, zero sorry's — is now machine-checked, from the coalgebra axioms (PR #39410) through Rota's classification (PR #39465) to the umbral operator and its duality theory.
Given a delta operator `Q` on `R[X]`, the **delta series** `f(y) = Σ (Q(X^k)).eval 0 / k! · y^k` is a formal power series with zero constant term and unit linear coefficient. Its compositional inverse `g` (obtained via Mathlib's `substInvOfIsUnit`) encodes the **basic sequence**: the polynomial `p_n` has coefficients `(p_n).coeff k = descFact(n, n-k) · [y^n](g^k)`. The **umbral operator** `U_Q` is the linear extension of `X^n ↦ p_n`.
The key result is the **lowering property** `Q(p_{n+1}) = (n+1) • p_n`. The proof uses the natural duality of the finite operator calculus — the derivative pairing `⟨h, p⟩ = Σ_k coeff_k(h) · k! · p.coeff k` between `R⟦X⟧` and `R[X]`. Under this pairing, Q's adjoint is multiplication by f (proved via the convolution formula for power series coefficients), orthogonality gives `⟨f^k, p_n⟩ = n! · δ_{kn}` (from the Jabotinsky matrix identity), and non-degeneracy closes it (upper-triangular with unit diagonal, by descending induction). Three lines of mathematics, backed by a clean chain of lemmas.
Once lowering is established, `umbralPoly_isBasicSequence` follows immediately, and `IsBasicSequence.isBinomialType` (from #39465) gives the coalgebra endomorphism property — completing the circle back to the Hopf algebra structure.
References: Langer, *Macdonald Polynomials and Symmetric Functions* (arXiv:0907.3950), §1.2.2; Roman, *The Umbral Calculus*, Academic Press 1984, Ch. 2.
Depends on #39410, #39465.
---
LLM tools were used to assist with Lean formalization. The mathematical content is the author's own work. |
t-ring-theory
new-contributor
LLM-generated
merge-conflict
|
2141/0 |
Mathlib.lean,Mathlib/RingTheory/HopfAlgebra/BinomialType.lean,Mathlib/RingTheory/HopfAlgebra/DeltaOperator.lean,Mathlib/RingTheory/HopfAlgebra/Polynomial.lean,Mathlib/RingTheory/HopfAlgebra/UmbralOperator.lean |
5 |
7 |
['RaggedR', 'github-actions', 'mathlib-bors', 'mathlib-merge-conflicts'] |
nobody |
9-38562 9 days ago |
25-84512 25 days ago |
1-5628 1 day |
| 39636 |
RaggedR author:RaggedR |
feat(RingTheory/HopfAlgebra): ascending Pochhammer is of binomial type |
This adds two concrete examples to the delta operator framework from #39465, illustrating the change of basis between the two classical families of binomial-type sequences beyond the monomials.
The first file proves that the ascending Pochhammer (rising factorial) sequence is of binomial type. The backward difference operator ∇f(x) = f(x) − f(x−1) is defined, shown to be a delta operator, and the ascending Pochhammer sequence is verified as its basic sequence via a telescoping argument. The final theorem `ascPochhammer_isBinomialType` is a one-line application of Rota's classification from #39465, complementing the existing `descPochhammer_isBasicSequence_forwardDiff` for falling factorials and the forward difference.
The second file computes the Jabotinsky matrix entries of the geometric delta series y/(1−y), giving the unnormalized Lah numbers C(n−1, k−1) as the change-of-basis coefficients between rising and falling factorials. The proof factors the power (y/(1−y))ᵏ = Xᵏ · (1−X)⁻ᵏ and applies Mathlib's existing `mk_one_pow_eq_mk_choose_add` for the negative binomial series.
---
- [ ] depends on: #39465
---
LLM tools were used to assist with Lean formalization. The mathematical content is the author's own work. |
t-ring-theory
new-contributor
blocked-by-other-PR
LLM-generated
merge-conflict
|
1596/0 |
Mathlib.lean,Mathlib/RingTheory/HopfAlgebra/AscPochhammer.lean,Mathlib/RingTheory/HopfAlgebra/BinomialType.lean,Mathlib/RingTheory/HopfAlgebra/DeltaOperator.lean,Mathlib/RingTheory/HopfAlgebra/Lah.lean,Mathlib/RingTheory/HopfAlgebra/Polynomial.lean |
6 |
10 |
['RaggedR', 'github-actions', 'mathlib-bors', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'themathqueen'] |
nobody |
9-38436 9 days ago |
28-29282 28 days ago |
0-211 3 minutes |
| 39849 |
hawkrobe author:hawkrobe |
feat(RingTheory): Every connected graded bialgebra is a Hopf algebra |
---
see [#PR reviews > #31898 implement HopfAlgebra for TensorAlgebra @ 💬](https://leanprover.zulipchat.com/#narrow/channel/144837-PR-reviews/topic/.2331898.20implement.20HopfAlgebra.20for.20TensorAlgebra/near/597455260).
- [x] depends on: #39785
- [ ] depends on: #39841
I used Claude Code to plan and audit.
|
t-ring-theory
new-contributor
blocked-by-other-PR
merge-conflict
|
771/0 |
Mathlib.lean,Mathlib/RingTheory/Bialgebra/Graded.lean,Mathlib/RingTheory/Bialgebra/Primitive.lean,Mathlib/RingTheory/Coalgebra/Graded.lean,Mathlib/RingTheory/GradedAlgebra/Connected.lean,Mathlib/RingTheory/HopfAlgebra/Generators.lean,Mathlib/RingTheory/HopfAlgebra/Graded.lean,Mathlib/RingTheory/HopfAlgebra/Primitive.lean,docs/references.bib |
9 |
5 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
9-38310 9 days ago |
23-49434 23 days ago |
0-680 11 minutes |
| 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 |
9-32809 9 days ago |
35-46738 35 days ago |
35-46178 35 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 |
9-31751 9 days ago |
28-82168 28 days ago |
28-81608 28 days |
| 38546 |
yhx-12243 author:yhx-12243 |
fix(Algebra/Module/Injective): changing the universe from the module's to the ring's |
Change the definition of
```lean
class Module.Injective : Prop where
out : ∀ ⦃X Y : Type v⦄ [AddCommGroup X] [AddCommGroup Y] [Module R X] [Module R Y]
(f : X →ₗ[R] Y) (_ : Function.Injective f) (g : X →ₗ[R] Q),
∃ h : Y →ₗ[R] Q, ∀ x, h (f x) = g x
```
into
```lean
class Module.Injective : Prop where
out : ∀ ⦃X Y : Type u⦄ [AddCommGroup X] [AddCommGroup Y] [Module R X] [Module R Y]
(f : X →ₗ[R] Y) (_ : Function.Injective f) (g : X →ₗ[R] Q),
∃ h : Y →ₗ[R] Q, ∀ x, h (f x) = g x
```
where `u` is the universe of ring, `v` is the universe of module,
to make it agree with `Module.Baer` and real mathematical definition, **without universe issues** (make the theorem [`Module.Baer.of_injective`](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Algebra/Module/Injective.html#Module.Baer.of_injective) not require `Small.{v, u} R` issue).
This type of adaption also appeared in the criterion `Module.Flat`, which also uses `Type u` on testing modules.
See discussions in https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Universe.20issue.20about.20injective.20module .
---
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[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
awaiting-zulip
awaiting-author
label:t-algebra$ |
57/43 |
Mathlib/Algebra/Category/ModuleCat/Injective.lean,Mathlib/Algebra/Category/ModuleCat/Ulift.lean,Mathlib/Algebra/Module/Injective.lean,Mathlib/RepresentationTheory/FinGroupCharZero.lean,Mathlib/RingTheory/Flat/Tensor.lean,Mathlib/RingTheory/LocalProperties/Injective.lean |
6 |
10 |
['eric-wieser', 'github-actions', 'grunweg', 'mathlib-bors', 'wwylele', 'yhx-12243'] |
nobody |
9-7028 9 days ago |
52-48695 52 days ago |
0-26133 7 hours |
| 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 |
8-78865 8 days ago |
9-64078 9 days ago |
10-45617 10 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 |
8-47556 8 days ago |
13-24605 13 days ago |
31-55842 31 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 |
8-47365 8 days ago |
8-66147 8 days ago |
8-65587 8 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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PR is merged. Please leave a blank newline before the `---`, otherwise
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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 |
8-32499 8 days ago |
31-20422 31 days ago |
65-31084 65 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 |
8-32493 8 days ago |
36-1703 36 days ago |
36-1143 36 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 |
8-32489 8 days ago |
9-39998 9 days ago |
9-39438 9 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 |
7-59554 7 days ago |
7-64631 7 days ago |
7-64164 7 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.
<!-- Your PR title will become the first line of the commit message.
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listing all co-authors.
Co-authors in the squash commit are gathered from two sources:
First, all authors of commits to this PR branch are included. Thus,
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each co-author among the commits in the pull request. If necessary, you
may create empty commits to indicate co-authorship, using commands like so:
git commit --author="Author Name <author@email.com>" --allow-empty -m "add Author Name as coauthor"
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|
t-algebra
new-contributor
label:t-algebra$ |
34/0 |
Mathlib/FieldTheory/Finite/Extension.lean,Mathlib/FieldTheory/Minpoly/Field.lean |
2 |
2 |
['github-actions'] |
kim-em assignee:kim-em |
7-32309 7 days ago |
37-2579 37 days ago |
37-2019 37 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 |
7-14670 7 days ago |
8-14209 8 days ago |
8-13649 8 days |
| 25778 |
thefundamentaltheor3m author:thefundamentaltheor3m |
feat: Monotonicity of `setIntegral` for nonnegative functions |
This PR makes it easier to prove monotonicity of the Bochner integral on sets for nonnegative functions by removing the stronger assumption required by the general monotonicity lemma that both of the functions being compared must be integrable.
---
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[](https://gitpod.io/from-referrer/)
|
t-measure-probability
new-contributor
awaiting-author
|
8/0 |
Mathlib/MeasureTheory/Integral/Bochner/Set.lean |
1 |
7 |
['RemyDegenne', 'github-actions', 'sgouezel', 'thefundamentaltheor3m'] |
nobody |
7-10243 7 days ago |
7-10243 7 days ago |
0-61394 17 hours |
| 40224 |
AlexBrodbelt author:AlexBrodbelt |
feat(Tactic/Group): strengthen the group tactic and add tests |
The group tactic is improved to:
Once simplification on the exponents is done, apply left and right cancellation. That is, to normalise expressions like `a * b = a * c` to `b * c`. In particular, an elaborator for traversing the syntax tree to efficiently simplify expressions like:
- `a * b^(-3) = c * b^(-3)` to `a = c` - apply right cancellation
- `a^3 * b = a^2 * c` to `a * b = c` - apply left cancellation and reduce exponent
- `a^7 * b = a^(-3) * c` to `a^10 * b = c` - apply right and increase exponent to being positive
- `a * b^5 = c * b` to `a * b^4 = c` - apply right cancellation and reduce exponent
Apply a post-processing where expression of the form ( · )^(-1) are normalised to use the inversion notation ( · )⁻¹. This allows immediately using lemmas involving inversion which is how most lemmas are stated.
---
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|
t-meta
new-contributor
WIP
|
57/9 |
Mathlib/Tactic/Group.lean,MathlibTest/Tactic/Group.lean |
2 |
4 |
['github-actions', 'grunweg'] |
nobody |
7-5590 7 days ago |
13-72324 13 days ago |
0-601 10 minutes |
| Number |
Author |
Title |
Description |
Labels |
+/- |
Modified files (first 100) |
📝 |
💬 |
All users who commented or reviewed |
Assignee(s) |
Approval(s) |
Updated |
Last status change |
total time in review |
| 12608 |
eric-wieser author:eric-wieser |
feat: allow `nsmul` / `zsmul` to be omitted again, with a warning |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-algebra
t-meta
label:t-algebra$ |
118/2 |
Mathlib.lean,Mathlib/Algebra/Group/Defs.lean,Mathlib/Tactic.lean,Mathlib/Tactic/DefaultFieldLinter.lean,scripts/noshake.json,test/default_field_linter.lean |
6 |
12 |
['YaelDillies', 'eric-wieser', 'fpvandoorn', 'github-actions'] |
nobody |
1 |
687-8180 1 year ago |
776-40599 776 days ago |
0-84 1 minute |
| 8519 |
eric-wieser author:eric-wieser |
refactor(LinearAlgebra/TensorProduct): golf using `liftAddHom` |
This new `TensorProduct.liftAddHom` doesn't require bilinearity, only that scalar multiplication can be moved between the arguments.
While in theory we only need the `AddMonoidHom` version as it offers exactly the same generality, we first provide an unbundled `liftFun` as this seems to give a sizeable performance boost if used in downstream `lift` variants.
---
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- [x] depends on: #8571
- [x] depends on: #8584
[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-algebra
label:t-algebra$ |
53/50 |
Mathlib/Algebra/Category/AlgebraCat/Monoidal.lean,Mathlib/LinearAlgebra/TensorProduct.lean,Mathlib/LinearAlgebra/TensorProduct/Tower.lean |
3 |
28 |
['bustercopley', 'eric-wieser', 'jcommelin', 'jjaassoonn', 'leanprover-bot', 'leanprover-community-mathlib4-bot', 'mathlib-bors'] |
nobody |
1 |
687-8177 1 year ago |
926-59940 926 days ago |
5-6524 5 days |
| 9146 |
laughinggas author:laughinggas |
feat(Data/ZMod/Defs): Topological structure on `ZMod` |
Added a discrete topology structure to `ZMod n` for all `n`
---
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|
merge-conflict
t-algebra
awaiting-author
t-topology
label:t-algebra$ |
55/3 |
Mathlib.lean,Mathlib/Topology/Algebra/Constructions.lean,Mathlib/Topology/Algebra/Group/Basic.lean,Mathlib/Topology/Instances/ZMod.lean,Mathlib/Topology/Maps.lean |
5 |
61 |
['YaelDillies', 'eric-wieser', 'github-actions', 'jcommelin', 'laughinggas', 'mo271', 'urkud'] |
nobody |
1 |
687-8177 1 year ago |
893-52668 893 days ago |
7-11053 7 days |
| 6777 |
adomani author:adomani |
chore(Co*variantClass): replace eta-expanded (· * ·), (· + ·), (· ≤ ·), (· < ·) |
Replace `CovariantClass X X (· * ·) (· ≤ ·)` with -> `CovariantClass X X HMul.hMul LE.le` and similarly for `HAdd`, `LT`, `Contravariant`.
This PR is inspired by [Issue #6646](https://github.com/leanprover-community/mathlib4/issues/6646) and, more specifically, [this comment](https://github.com/leanprover-community/mathlib4/issues/6646#issuecomment-1692792066).
Note that https://github.com/leanprover/lean4/pull/2267 would make this unnecessary
---
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```bash
# First sed command:
# the first captured pattern is `Co*variantClass <type> <type> `
# the second captured pattern is `<type>`
# the third captured pattern is `+` or `*`
# the fourth captured pattern is `<` or `≤`
# a match for `Co*variantClass <type> <type> (· <op> ·) (· <rel> ·)` becomes
# `Co*variantClass <type> <type> replaceop<op> replaceop<rel>`
# Second sed command: similar to the first, but looks for `(Function.swap (· <op> ·))`
sed -i '
s=\(Co[ntra]*variantClass \(..*\) \2 \)(· *\([+*]\) *·) (· *\([<≤]\) *·)=\1replaceop\3 replaceop\4=g
s=\(Co[ntra]*variantClass \(..*\) \2 \)(\([Functio\.swap ]*\)(· *\([+*]\) *·)) (· *\([<≤]\) *·)=\1(\3replaceop\4) replaceop\5=g
s=replaceop+=HAdd.hAdd=g
s=replaceop\*=HMul.hMul=g
s=replaceop<=LT.lt=g
s=replaceop≤=LE.le=g
s=\(Co[ntra]*variantClass N N\) (· \* ·) r=\1 HMul.hMul r=g
s=\(Co[ntra]*variantClass N N (swap μ)\) (· ≤ ·)=\1 LE.le=g
s=\(Co[ntra]*variantClass N N\) (swap (· \* ·)) r=\1 (swap HMul.hMul) r=g
s=\(CovariantClass (Filter α) (Filter α)\) (· / ·) (· ≤ ·)=\1 HDiv.hDiv LE.le=g
s=\(CovariantClass (Filter α) (Filter α)\) (swap (· / ·)) (· ≤ ·)=\1 (swap HDiv.hDiv) LE.le=g
s=\(Co[ntra]*variantClass .* (fun x y .> . \* .)\) (· ≤ ·)=\1 LE.le=g
s=\(Co[ntra]*variantClass .* (fun x y .> . \* .)\) (· < ·)=\1 LT.lt=g
s=\(Co[ntra]*variantClass [^}]*\) (· ≤ ·)=\1 LE.le=g
s=\(CovariantClass .* (Filter β)\) (· • ·) LE.le=\1 HSMul.hSMul LE.le=g
' $(git ls-files '*.lean')
```
[](https://gitpod.io/from-referrer/)
|
merge-conflict |
703/678 |
Counterexamples/ZeroDivisorsInAddMonoidAlgebras.lean,Mathlib/Algebra/BigOperators/Basic.lean,Mathlib/Algebra/Bounds.lean,Mathlib/Algebra/CovariantAndContravariant.lean,Mathlib/Algebra/DirectSum/Internal.lean,Mathlib/Algebra/Group/UniqueProds.lean,Mathlib/Algebra/GroupPower/Order.lean,Mathlib/Algebra/MonoidAlgebra/Degree.lean,Mathlib/Algebra/Order/Archimedean.lean,Mathlib/Algebra/Order/Group/Abs.lean,Mathlib/Algebra/Order/Group/Defs.lean,Mathlib/Algebra/Order/Group/DenselyOrdered.lean,Mathlib/Algebra/Order/Group/MinMax.lean,Mathlib/Algebra/Order/Group/OrderIso.lean,Mathlib/Algebra/Order/Hom/Monoid.lean,Mathlib/Algebra/Order/Interval.lean,Mathlib/Algebra/Order/Kleene.lean,Mathlib/Algebra/Order/LatticeGroup.lean,Mathlib/Algebra/Order/Module.lean,Mathlib/Algebra/Order/Monoid/Basic.lean,Mathlib/Algebra/Order/Monoid/Cancel/Defs.lean,Mathlib/Algebra/Order/Monoid/Canonical/Defs.lean,Mathlib/Algebra/Order/Monoid/Defs.lean,Mathlib/Algebra/Order/Monoid/Lemmas.lean,Mathlib/Algebra/Order/Monoid/MinMax.lean,Mathlib/Algebra/Order/Monoid/NatCast.lean,Mathlib/Algebra/Order/Monoid/OrderDual.lean,Mathlib/Algebra/Order/Monoid/Prod.lean,Mathlib/Algebra/Order/Monoid/WithTop.lean,Mathlib/Algebra/Order/Monoid/WithZero/Basic.lean,Mathlib/Algebra/Order/Monoid/WithZero/Defs.lean,Mathlib/Algebra/Order/Nonneg/Ring.lean,Mathlib/Algebra/Order/Pointwise.lean,Mathlib/Algebra/Order/Positive/Ring.lean,Mathlib/Algebra/Order/Ring/Canonical.lean,Mathlib/Algebra/Order/Ring/Defs.lean,Mathlib/Algebra/Order/Ring/Lemmas.lean,Mathlib/Algebra/Order/Sub/Basic.lean,Mathlib/Algebra/Order/Sub/Canonical.lean,Mathlib/Algebra/Order/Sub/Defs.lean,Mathlib/Algebra/Order/WithZero.lean,Mathlib/Algebra/Parity.lean,Mathlib/Algebra/Star/Order.lean,Mathlib/Algebra/Tropical/Basic.lean,Mathlib/Analysis/Normed/Order/Lattice.lean,Mathlib/Data/DFinsupp/Lex.lean,Mathlib/Data/DFinsupp/Order.lean,Mathlib/Data/Finset/Fold.lean,Mathlib/Data/Finsupp/Lex.lean,Mathlib/Data/Finsupp/Order.lean,Mathlib/Data/List/BigOperators/Basic.lean,Mathlib/Data/List/BigOperators/Lemmas.lean,Mathlib/Data/Multiset/Basic.lean,Mathlib/Data/Nat/Cast/Order.lean,Mathlib/Data/PNat/Basic.lean,Mathlib/Data/Real/ENNReal.lean,Mathlib/Data/Real/NNReal.lean,Mathlib/Data/Set/Semiring.lean,Mathlib/Data/Sign.lean,Mathlib/MeasureTheory/Function/LpOrder.lean,Mathlib/MeasureTheory/Function/SimpleFuncDenseLp.lean,Mathlib/MeasureTheory/Measure/MeasureSpace.lean,Mathlib/MeasureTheory/Measure/VectorMeasure.lean,Mathlib/Order/ConditionallyCompleteLattice/Group.lean,Mathlib/Order/Filter/Basic.lean,Mathlib/Order/Filter/Pointwise.lean,Mathlib/Probability/Martingale/Basic.lean,Mathlib/Probability/Process/Stopping.lean,Mathlib/RingTheory/GradedAlgebra/Basic.lean,Mathlib/SetTheory/Cardinal/Basic.lean,Mathlib/SetTheory/Game/Basic.lean,Mathlib/SetTheory/Game/PGame.lean,Mathlib/SetTheory/Ordinal/Arithmetic.lean,Mathlib/SetTheory/Ordinal/Basic.lean,Mathlib/SetTheory/Ordinal/NaturalOps.lean,Mathlib/Tactic/GCongr/Core.lean,Mathlib/Tactic/Positivity/Basic.lean,Mathlib/Topology/ContinuousFunction/Algebra.lean,lean-toolchain,test/Recall.lean,test/propose.lean |
81 |
37 |
['adomani', 'alreadydone', 'digama0', 'eric-wieser', 'ericrbg', 'jcommelin', 'leanprover-bot', 'sgouezel', 'vihdzp'] |
nobody |
1 |
687-8176 1 year ago |
961-60073 961 days ago |
35-63136 35 days |
| 12751 |
Command-Master author:Command-Master |
feat: add lemmas for Nat/Bits, Nat/Bitwise and Nat/Size |
Remove `@[simp]` from `Nat.bit_false` and `Nat.bit_true`, as `bit0` and `bit1` are deprecated, and add some lemmas to `Bits`, `Bitwise` and `Size`.
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-data
new-contributor
|
66/7 |
Mathlib/Data/Nat/Bits.lean,Mathlib/Data/Nat/Bitwise.lean,Mathlib/Data/Nat/Multiplicity.lean,Mathlib/Data/Nat/Size.lean |
4 |
26 |
['Command-Master', 'Rida-Hamadani', 'Ruben-VandeVelde', 'YaelDillies', 'github-actions', 'jcommelin'] |
nobody |
1 |
667-71877 1 year ago |
702-78099 702 days ago |
56-40668 56 days |
| 15448 |
urkud author:urkud |
chore(*): deprecate `Option.elim'` |
Use `Option.elim` instead.
---
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PR is merged. Please leave a blank newline before the `---`, otherwise
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[](https://gitpod.io/from-referrer/) |
merge-conflict
awaiting-author
tech debt
|
54/50 |
Mathlib/Algebra/BigOperators/Option.lean,Mathlib/Algebra/MvPolynomial/Equiv.lean,Mathlib/Algebra/MvPolynomial/Variables.lean,Mathlib/Analysis/BoxIntegral/Partition/Additive.lean,Mathlib/Analysis/BoxIntegral/Partition/Basic.lean,Mathlib/Analysis/BoxIntegral/Partition/Split.lean,Mathlib/Analysis/Calculus/LagrangeMultipliers.lean,Mathlib/CategoryTheory/Category/PartialFun.lean,Mathlib/Computability/TMToPartrec.lean,Mathlib/Data/Option/Defs.lean,Mathlib/LinearAlgebra/Basis.lean,Mathlib/Logic/Embedding/Set.lean,Mathlib/Logic/Equiv/Basic.lean,Mathlib/MeasureTheory/OuterMeasure/Induced.lean,Mathlib/NumberTheory/Dioph.lean,Mathlib/Topology/Compactness/Paracompact.lean,Mathlib/Topology/LocallyFinite.lean |
17 |
12 |
['Ruben-VandeVelde', 'YaelDillies', 'github-actions', 'grunweg', 'urkud'] |
nobody |
1 |
667-60930 1 year ago |
677-20692 677 days ago |
7-18420 7 days |
| 13514 |
madvorak author:madvorak |
feat(Computability/ContextFreeGrammar): closure under union |
- [ ] depends on: #15895
---
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PR is merged. Please leave a blank newline before the `---`, otherwise
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|
merge-conflict
t-computability
blocked-by-other-PR
|
448/4 |
Mathlib/Computability/ContextFreeGrammar.lean |
1 |
50 |
['Rida-Hamadani', 'YaelDillies', 'github-actions', 'leanprover-community-mathlib4-bot', 'madvorak'] |
nobody |
1 |
593-1334 1 year ago |
670-61715 670 days ago |
72-28417 72 days |
| 12133 |
ADedecker author:ADedecker |
feat: generalize instIsLowerProd to arbitrary products |
Also change a bit the proof of the product case to match my own taste, feel free to tell if you prefer the old one.
---
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|
merge-conflict
awaiting-author
t-topology
t-order
|
34/14 |
Mathlib/Topology/Constructions.lean,Mathlib/Topology/Order/LowerUpperTopology.lean |
2 |
13 |
['Ruben-VandeVelde', 'TwoFX', 'github-actions', 'jcommelin', 'mans0954', 'mathlib-bors', 'riccardobrasca'] |
nobody |
2 |
580-7382 1 year ago |
731-3018 731 days ago |
63-69226 63 days |
| 18461 |
hannahfechtner author:hannahfechtner |
feat: left and right common multiples mixins |
add mixins for left and right common multiples. These carry the data of what factors are used to create the common multiples
---
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PR is merged. Please leave a blank newline before the `---`, otherwise
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[](https://gitpod.io/from-referrer/)
|
awaiting-author
t-algebra
new-contributor
label:t-algebra$ |
78/0 |
Mathlib/Algebra/Group/Defs.lean |
1 |
13 |
['github-actions', 'hannahfechtner', 'jcommelin', 'kbuzzard', 'kim-em', 'trivial1711'] |
nobody |
1 |
514-3849 1 year ago |
514-3849 514 days ago |
69-35596 69 days |
| 2605 |
eric-wieser author:eric-wieser |
chore: better error message in linarith |
On this mwe:
```lean
import Mathlib.Tactic.Linarith
example (s : Set ℕ) (h : s = s) : 0 ≤ 1 :=
by linarith
```
this now indicates where the internal error is coming from.
Is there a better way of chaining errors than this?
---
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|
merge-conflict
awaiting-author
t-meta
|
12/1 |
Mathlib/Tactic/Linarith/Preprocessing.lean |
1 |
3 |
['Vierkantor', 'harahu', 'kim-em', 'mo271'] |
nobody |
1 |
503-72269 1 year ago |
1151-17408 1151 days ago |
51-42225 51 days |
| 19425 |
hrmacbeth author:hrmacbeth |
perf: gcongr forward-reasoning adjustment |
This PR changes the "forward-reasoning" component of `gcongr`, rendering it more efficient, particularly in problems with a large number of variables/hypotheses in the context.
Previously `gcongr` attempted to match *every* `LocalDecl` against *every* node in the parse tree using *each* of the five implemented `@[gcongr_forward]` mini-tactics: matching directly, matching after applying `symm`, matching after applying `le_of_lt`, etc etc.
The new algorithm filters out the non-Prop `LocalDecl`s, and also adjusts the `@[gcongr_forward]` extensions so that, rather than re-apply the relevant lemmas (`symm`, `le_of_lt`, etc) at every node in the parse tree, the lemmas are applied in advance to the `LocalDecl`s and the result (if successful) stored.
The performance effect on mathlib as a whole is miniscule, but it speeds up the profiler's count of "tactic execution of Mathlib.Tactic.GCongr" in the newly-added test from 257 ms to 47 ms, and has a similar effect on real-life examples in an analysis project of mine.
Co-authored-by: Mario Carneiro <di.gama@gmail.com>
---
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[](https://gitpod.io/from-referrer/)
(Note that Mario provided the ideas but not the code, so please review with appropriate diligence!) |
merge-conflict
awaiting-author
|
130/59 |
Mathlib/Order/Lattice.lean,Mathlib/Tactic/GCongr/Core.lean,Mathlib/Tactic/GCongr/ForwardAttr.lean,MathlibTest/GCongr/inequalities.lean |
4 |
17 |
['Vierkantor', 'github-actions', 'hrmacbeth', 'leanprover-bot', 'leanprover-community-bot-assistant'] |
Vierkantor assignee:Vierkantor |
1 |
434-2231 1 year ago |
566-77048 566 days ago |
1-41769 1 day |
| 19315 |
quangvdao author:quangvdao |
feat(Data/Finsupp/Fin): Add `Finsupp` operations on `Fin` tuple |
This PR adds more analogues of operations on `Fin` tuples to the `Finsupp` setting. Before, there were only `Finsupp.cons` and `Finsupp.tail`. Now there are also `Finsupp.snoc`, `Finsupp.insertNth`, `Finsupp.init`, and `Finsupp.removeNth`. These all come with supporting lemmas.
I also removed the porting comment about `succAboveCases` in `Data/Fin/Basic`, and added a lemma about `succAbove` in `Data/Fin/Tuple/Basic`.
---
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- [x] depends on: #20361
- [x] depends on: #20771
- [x] depends on: #20770
[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-data
|
193/16 |
Mathlib/Algebra/BigOperators/Fin.lean,Mathlib/Algebra/BigOperators/Finsupp.lean,Mathlib/Algebra/MvPolynomial/Equiv.lean,Mathlib/Data/Finsupp/Fin.lean,Mathlib/RingTheory/MvPolynomial/Homogeneous.lean,scripts/nolints_prime_decls.txt |
6 |
44 |
['YaelDillies', 'github-actions', 'j-loreaux', 'kbuzzard', 'mathlib4-dependent-issues-bot', 'quangvdao'] |
nobody |
1 |
407-45236 1 year ago |
484-70259 484 days ago |
43-80684 43 days |
| 21276 |
GabinKolly author:GabinKolly |
feat(ModelTheory/Substructures): define equivalences between equal substructures |
Define first-order equivalences between equal substructures, and prove related properties.
---
This is some preparatory work for #18876
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[](https://gitpod.io/from-referrer/)
|
awaiting-author
t-logic
|
62/0 |
Mathlib/ModelTheory/Substructures.lean |
1 |
19 |
['GabinKolly', 'YaelDillies', 'fpvandoorn', 'github-actions', 'grunweg'] |
nobody |
1 |
404-63310 1 year ago |
404-63310 404 days ago |
46-55730 46 days |
| 25401 |
digama0 author:digama0 |
feat(Util): SuppressSorry option |
See also leanprover/lean4#8611 and [#lean4 > Silent sorry @ 💬](https://leanprover.zulipchat.com/#narrow/channel/270676-lean4/topic/Silent.20sorry/near/503537964). This is a stop-gap solution while leanprover/lean4#8611 is underway, but it works about as well as any other built in option. Hooking declaration elaborators turns out to be a very powerful technique.
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-meta
|
342/0 |
Mathlib.lean,Mathlib/Util/CommandElabHook.lean,Mathlib/Util/SuppressSorry.lean,MathlibTest/suppressSorry.lean |
4 |
15 |
['digama0', 'eric-wieser', 'github-actions', 'mathlib4-merge-conflict-bot'] |
alexjbest assignee:alexjbest |
1 |
308-39698 10 months ago |
308-39698 308 days ago |
71-27957 71 days |
| 26078 |
kckennylau author:kckennylau |
feat(AlgebraicGeometry): add x, y, px, py for points on elliptic curves |
---
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Split from #25218.
[](https://gitpod.io/from-referrer/)
|
awaiting-author
t-algebraic-geometry
|
44/0 |
Mathlib/AlgebraicGeometry/EllipticCurve/Affine/Point.lean |
1 |
12 |
['MichaelStollBayreuth', 'Multramate', 'acmepjz', 'dagurtomas', 'github-actions', 'kckennylau'] |
nobody |
1 |
300-69314 9 months ago |
300-69314 300 days ago |
64-11252 64 days |
| 26462 |
PSchwahn author:PSchwahn |
feat(LinearAlgebra/Projection): add results about inverse of `Submodule.prodEquivOfIsCompl` |
Add two theorems `Submodule.prodEquivOfIsCompl_symm_apply` and `Submodule.prodEquivOfIsCompl_symm_add`, which are API for `Submodule.prodEquivOfIsCompl`.
We believe these theorems are useful; for example, we have used their statements in a [classification formalization project](https://github.com/LieLean/LowDimSolvClassification).
Co-authored by:
- [Viviana del Barco](https://github.com/vdelbarc)
- [Gustavo Infanti](https://github.com/GuQOliveira)
- [Exequiel Rivas](https://github.com/erivas)
---
I am not sure whether the `prodEquivOfIsCompl_symm_apply` theorem should be tagged with `@[simp]`; this might lead to confluence issues. Opinions are welcome!
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|
awaiting-author
t-algebra
new-contributor
label:t-algebra$ |
10/0 |
Mathlib/LinearAlgebra/Projection.lean |
1 |
7 |
['PSchwahn', 'github-actions', 'joelriou', 'kckennylau'] |
joelriou assignee:joelriou |
1 |
282-38301 9 months ago |
282-69404 282 days ago |
73-43082 73 days |
| 27937 |
madvorak author:madvorak |
feat(Logic/Basic): `congr_heq₂` |
---
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|
awaiting-author
t-logic
|
6/0 |
Mathlib/Logic/Basic.lean |
1 |
8 |
['YaelDillies', 'fpvandoorn', 'github-actions', 'madvorak', 'vihdzp'] |
fpvandoorn assignee:fpvandoorn |
1 |
274-2240 9 months ago |
300-3025 300 days ago |
17-62644 17 days |
| 21950 |
erdOne author:erdOne |
feat(NumberTheory/Padics): the completion of `ℚ` at a finite place is `ℚ_[p]` |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-number-theory
|
253/1 |
Mathlib.lean,Mathlib/Algebra/GroupWithZero/WithZero.lean,Mathlib/NumberTheory/Padics/HeightOneSpectrum.lean,Mathlib/NumberTheory/Padics/PadicNumbers.lean,Mathlib/Topology/Algebra/Valued/WithVal.lean,Mathlib/Topology/Algebra/WithZeroMulInt.lean,Mathlib/Topology/Algebra/WithZeroTopology.lean |
7 |
33 |
['Ruben-VandeVelde', 'erdOne', 'faenuccio', 'github-actions', 'leanprover-community-bot-assistant', 'pechersky', 'smmercuri', 'xroblot'] |
nobody |
1 |
264-72154 8 months ago |
345-72091 345 days ago |
73-10873 73 days |
| 26330 |
Timeroot author:Timeroot |
feat: "Junk value" test file |
This PR continues the work from #25173.
Original PR: https://github.com/leanprover-community/mathlib4/pull/25173 |
awaiting-author
t-data
|
360/0 |
MathlibTest/Junk.lean |
1 |
17 |
['SnirBroshi', 'Timeroot', 'bryangingechen', 'github-actions', 'leanprover-community-bot-assistant', 'madvorak', 'pechersky', 'vihdzp'] |
pechersky assignee:pechersky |
2 |
261-29481 8 months ago |
261-29481 261 days ago |
48-67789 48 days |
| 27302 |
tristan-f-r author:tristan-f-r |
feat(Fintype/Quotient): finLiftOn₂ |
The combination of [`Quotient.finLiftOn`](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Data/Fintype/Quotient.html#Quotient.finLiftOn) and [`liftOn₂`](https://leanprover-community.github.io/mathlib4_docs/Init/Core.html#Quotient.liftOn%E2%82%82).
---
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[](https://gitpod.io/from-referrer/)
|
awaiting-author
t-data
|
19/0 |
Mathlib/Data/Fintype/Quotient.lean |
1 |
12 |
['github-actions', 'kckennylau', 'pechersky', 'tristan-f-r', 'vihdzp'] |
pechersky assignee:pechersky |
2 |
245-20241 8 months ago |
245-20241 245 days ago |
6-5358 6 days |
| 28925 |
grunweg author:grunweg |
chore: remove `linear_combination'` tactic |
When `linear_combination` was refactored in #15899, the old code was kept as the `linear_combination'` tactic, for easier migration. The consensus of the zulip discussion ([#mathlib4 > Narrowing the scope of `linear_combination` @ 💬](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Narrowing.20the.20scope.20of.20.60linear_combination.60/near/470237816)) was to wait, and "revisit this once people have experienced the various tactics in practice".
One year later, the old tactic has almost no uses: it is unused in mathlib; [searching on github](https://github.com/search?q=linear_combination%27%20path%3A*.lean&type=code) yields 37 hits --- all of which are in various forks of mathlib. Thus, removing this tactic seems appropriate.
---
Do not merge before the zulip discussion has concluded!
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merge-conflict
file-removed
awaiting-zulip
|
0/564 |
Mathlib.lean,Mathlib/Tactic.lean,Mathlib/Tactic/LinearCombination'.lean,Mathlib/Tactic/Linter/UnusedTactic.lean,MathlibTest/linear_combination'.lean |
5 |
4 |
['euprunin', 'github-actions', 'grunweg', 'mathlib4-merge-conflict-bot'] |
nobody |
1 |
245-15317 8 months ago |
296-47114 296 days ago |
0-1 1 second |
| 28737 |
astrainfinita author:astrainfinita |
refactor: deprecate `MulEquivClass` |
This PR continues the work from #18806.
Original PR: https://github.com/leanprover-community/mathlib4/pull/18806 |
merge-conflict
awaiting-author
t-algebra
label:t-algebra$ |
67/77 |
Mathlib/Algebra/BigOperators/Finprod.lean,Mathlib/Algebra/Group/Equiv/Basic.lean,Mathlib/Algebra/Group/Equiv/Defs.lean,Mathlib/Algebra/Group/Irreducible/Lemmas.lean,Mathlib/Algebra/Group/Subgroup/Map.lean,Mathlib/Algebra/Group/Submonoid/Operations.lean,Mathlib/Algebra/Group/Units/Equiv.lean,Mathlib/Algebra/GroupWithZero/Equiv.lean,Mathlib/Algebra/GroupWithZero/NonZeroDivisors.lean,Mathlib/Algebra/Module/Equiv/Defs.lean,Mathlib/Algebra/Order/CauSeq/Basic.lean,Mathlib/Algebra/Order/Hom/Monoid.lean,Mathlib/Algebra/Prime/Lemmas.lean,Mathlib/Algebra/Ring/Divisibility/Basic.lean,Mathlib/Algebra/Ring/Equiv.lean,Mathlib/Algebra/Star/MonoidHom.lean,Mathlib/Combinatorics/Additive/FreimanHom.lean,Mathlib/GroupTheory/GroupExtension/Defs.lean,Mathlib/GroupTheory/Submonoid/Center.lean,Mathlib/LinearAlgebra/FreeModule/Finite/CardQuotient.lean,Mathlib/RingTheory/Bialgebra/Equiv.lean,Mathlib/RingTheory/Ideal/Norm/AbsNorm.lean,Mathlib/RingTheory/Multiplicity.lean,Mathlib/RingTheory/UniqueFactorizationDomain/NormalizedFactors.lean,Mathlib/Topology/Algebra/ContinuousMonoidHom.lean,Mathlib/Topology/Algebra/InfiniteSum/Basic.lean |
26 |
20 |
['Vierkantor', 'alreadydone', 'astrainfinita', 'github-actions', 'grunweg', 'leanprover-bot', 'leanprover-community-mathlib4-bot', 'mathlib4-merge-conflict-bot'] |
Vierkantor assignee:Vierkantor |
1 |
233-5799 7 months ago |
296-52372 296 days ago |
2-39213 2 days |
| 9352 |
chenyili0818 author:chenyili0818 |
feat: arithmetic lemmas for `gradient` |
This file is based on Mathlib.Analysis.Calculus.Gradient.Basic, and describes the calculation properties
Co-authored-by: Ziyu Wang [tropicalfish910@gmail.com](mailto:tropicalfish910@gmail.com)
---
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|
merge-conflict
awaiting-author
t-analysis
|
404/0 |
Mathlib.lean,Mathlib/Analysis/Calculus/Gradient/Lemmas.lean |
2 |
31 |
['chenyili0818', 'github-actions', 'jcommelin', 'mathlib4-merge-conflict-bot', 'sgouezel', 'winstonyin'] |
nobody |
1 |
211-10893 6 months ago |
848-75742 848 days ago |
52-1358 52 days |
| 11890 |
adomani author:adomani |
feat: the terminal refine linter |
A linter that warns on usages of `refine` and `refine'` as a finishing tactic.
See this [Zulip discussion](https://leanprover.zulipchat.com/#narrow/stream/287929-mathlib4/topic/Usage.20of.20refine').
### Conclusion of the experiment
Systematic replacements of terminal `refine` with `exact` leads to an overall slow-down.
---
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- [ ] depends on: #15616 (disable the linter in downstream projects)
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-linter
awaiting-author
|
77/0 |
Mathlib.lean,Mathlib/Tactic.lean,Mathlib/Tactic/Linter/TerminalRefineLinter.lean |
3 |
15 |
['adomani', 'github-actions', 'grunweg', 'joneugster', 'leanprover-bot', 'leanprover-community-mathlib4-bot', 'mathlib4-merge-conflict-bot', 'urkud'] |
nobody |
1 |
211-10762 6 months ago |
673-45268 673 days ago |
18-28993 18 days |
| 20924 |
tomaz1502 author:tomaz1502 |
feat(Computability/QueryComplexity): Oracle-based computation |
This PR adds the types and lemmas for oracle-based computation. In this model, computations are run on a monad which also counts the number of oracle queries executed. With it, it becomes possible to reason about the upper bound of the query complexity of algorithms. In the future, we could extend this work to include the necessary bits from information theory and probability to also reason about lower bounds on query complexity, like the work in https://github.com/girving/debate.
Zulip discussion: https://leanprover.zulipchat.com/#narrow/channel/144837-PR-reviews/topic/.2318629.20runtime.20complexity.20of.20sorting.20a.20list
Co-authored-by: Geoffrey Irving <irving@naml.us>
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-computability
|
305/0 |
Mathlib.lean,Mathlib/Computability/QueryComplexity/Basic.lean,Mathlib/Computability/QueryComplexity/Defs.lean |
3 |
60 |
['eric-wieser', 'girving', 'github-actions', 'mathlib4-merge-conflict-bot', 'quangvdao', 'tomaz1502'] |
nobody |
1 |
211-10328 6 months ago |
480-31623 480 days ago |
27-32630 27 days |
| 21624 |
sinhp author:sinhp |
feat(CategoryTheory): The (closed) monoidal structure on the product category of families of (closed) monoidal categories |
Given a family of closed monoidal categories, we show that the product of these categories
is a closed monoidal category with the pointwise monoidal structure.
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-category-theory
|
144/0 |
Mathlib.lean,Mathlib/CategoryTheory/Pi/Basic.lean,Mathlib/CategoryTheory/Pi/Monoidal.lean,Mathlib/CategoryTheory/Pi/MonoidalClosed.lean |
4 |
20 |
['TwoFX', 'YaelDillies', 'b-mehta', 'github-actions', 'jcommelin', 'mathlib4-merge-conflict-bot', 'sinhp'] |
nobody |
1 |
211-10318 6 months ago |
436-24560 436 days ago |
50-48893 50 days |
| 22159 |
shetzl author:shetzl |
feat: add definition of pushdown automata |
Add the definition of pushdown automata and their two acceptance conditions: acceptance based on empty stack and acceptance based on final state.
Co-authored-by: Tobias Leichtfried <tobias.leichtfried@tuwien.ac.at>
---
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|
merge-conflict
t-computability
awaiting-author
new-contributor
|
70/0 |
Mathlib.lean,Mathlib/Computability/PDA.lean |
2 |
35 |
['YaelDillies', 'github-actions', 'madvorak', 'mathlib4-merge-conflict-bot', 'shetzl'] |
nobody |
1 |
211-10186 6 months ago |
458-4199 458 days ago |
20-81245 20 days |
| 22919 |
plp127 author:plp127 |
feat(Data/Fintype/Pi): Make `Fintype` instance for `RelHom`s computable |
Makes the `Fintype` instance for rel homs computable.
See this [Zulip](https://leanprover.zulipchat.com/#narrow/channel/113489-new-members/topic/Classical.20vs.20constructive.20logic.20in.20computation/near/496220816) message.
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-data
|
178/44 |
Mathlib/Combinatorics/SimpleGraph/Basic.lean,Mathlib/Combinatorics/SimpleGraph/Coloring.lean,Mathlib/Combinatorics/SimpleGraph/Maps.lean,Mathlib/Data/Fintype/CardEmbedding.lean,Mathlib/Data/Fintype/Pi.lean |
5 |
31 |
['IvanRenison', 'b-mehta', 'eric-wieser', 'fpvandoorn', 'github-actions', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot', 'plp127'] |
b-mehta assignee:b-mehta |
1 |
211-10160 6 months ago |
385-23431 385 days ago |
71-41637 71 days |
| 26914 |
quangvdao author:quangvdao |
feat(Data/PFunctor/Univariate): more definitions for univariate `PFunctor` |
This PR defines several basic definitions of `PFunctor`, including zero, one, constants, monomials, coproduct (sum), product, sigma, pi, tensor product, universe lifting, and equivalence.
We also add: (1) simple lemmas connecting the basic definitions, (2) an automatically derived ext lemma for `PFunctor` via `@[ext]` attribute
Some things I'm not clear on:
- I define `HAdd` and `HMul` instances for coproduct and product of poly functors having different universe levels. Should I also define `Add` and `Mul` instances for poly functors having the same universe level?
- Is it ok to define notation for tensor product, i.e. `@[inherit_doc] scoped infixr:80 " ⊗ " => tensor`? I'm worried it might clash with other notation.
- Need a double-check on the priority of notation.
Some future definitions to add:
- Various equivalences arising from arithmetic identities, e.g., `P + 0 ≃ₚ P`.
- Definitions of Lenses and Charts (each of them will be a file or even a folder)
- Exponential objects (corresponding to both `prod` and `tensor`)
---
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merge-conflict
t-data
|
144/5 |
Mathlib/Data/PFunctor/Univariate/Basic.lean |
1 |
20 |
['alexkeizer', 'eric-wieser', 'github-actions', 'mathlib4-merge-conflict-bot', 'quangvdao'] |
eric-wieser assignee:eric-wieser |
1 |
211-9476 6 months ago |
211-9477 211 days ago |
133-23955 133 days |
| 27163 |
pechersky author:pechersky |
feat(Topology/ValuativeRel): of and to basis of compatible valuations |
---
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[](https://gitpod.io/from-referrer/)
- [x] depends on: #30262 |
t-number-theory
t-algebra
merge-conflict
awaiting-author
t-topology
label:t-algebra$ |
229/62 |
Mathlib/NumberTheory/LocalField/Basic.lean,Mathlib/Order/Filter/Bases/Basic.lean,Mathlib/Topology/Algebra/Valued/ValuativeRel.lean |
3 |
73 |
['erdOne', 'github-actions', 'kckennylau', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot', 'pechersky', 'smmercuri'] |
alreadydone assignee:alreadydone |
1 |
211-9459 6 months ago |
212-41250 212 days ago |
84-31691 84 days |
| 28325 |
pechersky author:pechersky |
feat(WithZeroTopology): `locallyCompactSpace_iff_locallyFiniteOrder_units` |
On the way to golf/generalize the proof that
locally compact valued fields have locally finite valuation groups as embodied in
`Valued.integer.locallyFiniteOrder_units_mrange_of_isCompact_integer` ]
---
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merge-conflict
t-topology
t-order
large-import
|
81/2 |
Mathlib/Topology/Algebra/GroupWithZero.lean,Mathlib/Topology/Algebra/WithZeroTopology.lean,Mathlib/Topology/Compactness/Compact.lean |
3 |
13 |
['erdOne', 'github-actions', 'kckennylau', 'mathlib4-merge-conflict-bot', 'ocfnash'] |
PatrickMassot assignee:PatrickMassot |
1 |
211-9164 6 months ago |
215-63842 215 days ago |
93-41632 93 days |
| 28871 |
JaafarTanoukhi author:JaafarTanoukhi |
feat(Combinatorics/Digraph): Tournaments |
Define orientations and tournaments. Related to #26771.
Co-authored-by: Rida Hamadani <mridahamadani@gmail.com>
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-combinatorics
new-contributor
|
62/0 |
Mathlib.lean,Mathlib/Combinatorics/Digraph/Orientation.lean,Mathlib/Combinatorics/Digraph/Tournament.lean |
3 |
6 |
['JaafarTanoukhi', 'Rida-Hamadani', 'SnirBroshi', 'github-actions', 'mathlib4-merge-conflict-bot'] |
kmill assignee:kmill |
1 |
211-9018 6 months ago |
211-9019 211 days ago |
86-44787 86 days |
| 11800 |
JADekker author:JADekker |
feat: KappaLindelöf spaces |
Define KappaLindelöf spaces by following the first one-third of the API for Lindelöf spaces. The remainder will be added in a future PR.
---
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|
please-adopt
merge-conflict
t-topology
awaiting-zulip
|
301/2 |
Mathlib.lean,Mathlib/Topology/Compactness/KappaLindelof.lean,Mathlib/Topology/Compactness/Lindelof.lean |
3 |
38 |
['ADedecker', 'JADekker', 'PatrickMassot', 'StevenClontz', 'adomani', 'github-actions', 'grunweg', 'kim-em', 'urkud'] |
nobody |
1 |
210-68598 6 months ago |
686-2480 686 days ago |
123-25636 123 days |
| 26310 |
kckennylau author:kckennylau |
feat: binary forms |
This PR provides the basic definition of binary forms, which are homogeneous polynomials in two variables.
---
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- [ ] depends on: #26312
- [ ] depends on: #26313
- [ ] depends on: #26314
[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-algebra
label:t-algebra$ |
73/0 |
Mathlib.lean,Mathlib/RingTheory/MvPolynomial/BinaryForm.lean |
2 |
14 |
['MichaelStollBayreuth', 'github-actions', 'kckennylau', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot', 'ocfnash'] |
ocfnash assignee:ocfnash |
1 |
210-68010 6 months ago |
302-65031 302 days ago |
57-1096 57 days |
| 24514 |
b-mehta author:b-mehta |
chore(Int/GCD): use fuel in xgcd |
Modify the definition of xgcd to use fuel recursion, to allow it to be reduced in the kernel. As a consequence, this means the evaluation of field operations in ZMod p become provable by `rfl` and `decide`.
Zulip discussion: https://leanprover.zulipchat.com/#narrow/channel/270676-lean4/topic/opaque.20recursion.20definitions.20break.20mergeSort.20decidability
---
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|
awaiting-author
t-data
merge-conflict
|
44/22 |
Mathlib/Data/Int/GCD.lean |
1 |
6 |
['astrainfinita', 'b-mehta', 'eric-wieser', 'github-actions', 'mathlib4-merge-conflict-bot', 'nomeata', 'urkud'] |
nobody |
1 |
202-83818 6 months ago |
354-37296 354 days ago |
58-34020 58 days |
| 28057 |
plp127 author:plp127 |
feat(SuccOrder): simp lemma to refold `Order.succ` and `Order.pred` |
Adds `SuccOrder.succ_eq_succ` and `PredOrder.pred_eq_pred` to refold `SuccOrder.succ` and `PredOrder.pred` into `Order.succ` and `Order.pred`. These lemmas are marked `@[simp]`.
---
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|
awaiting-author
t-order
merge-conflict
|
8/2 |
Mathlib/Order/SuccPred/Basic.lean |
1 |
4 |
['YaelDillies', 'github-actions', 'mathlib4-merge-conflict-bot', 'plp127', 'vihdzp'] |
bryangingechen assignee:bryangingechen |
1 |
194-30547 6 months ago |
271-46255 271 days ago |
44-13238 44 days |
| 26912 |
pechersky author:pechersky |
chore(Algebra/Ring/Subring): simp tag `Subring.smul_def` |
s-multiplying by a subtype is easiest to manipulate when both terms are in the ambient type. Many places that had to use the _def lemma for a rewrite, or to include it in a simp set, no longer have to.
Ported from #25308
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[](https://gitpod.io/from-referrer/)
I found this being not-simp frustrating when talking about submodules over a valuation subring. |
merge-conflict
t-algebra
label:t-algebra$ |
67/66 |
Mathlib/Algebra/Algebra/Subalgebra/Basic.lean,Mathlib/Algebra/Field/Subfield/Basic.lean,Mathlib/Algebra/Group/Subgroup/Actions.lean,Mathlib/Algebra/Group/Submonoid/MulAction.lean,Mathlib/Algebra/Module/LocalizedModule/Basic.lean,Mathlib/Algebra/Module/LocalizedModule/Exact.lean,Mathlib/Algebra/Module/LocalizedModule/IsLocalization.lean,Mathlib/Algebra/Module/LocalizedModule/Submodule.lean,Mathlib/Algebra/Ring/Periodic.lean,Mathlib/Algebra/Ring/Subring/Basic.lean,Mathlib/Algebra/Ring/Subsemiring/Basic.lean,Mathlib/Analysis/CStarAlgebra/Basic.lean,Mathlib/FieldTheory/KummerExtension.lean,Mathlib/GroupTheory/GroupAction/Defs.lean,Mathlib/GroupTheory/GroupAction/MultiplePrimitivity.lean,Mathlib/GroupTheory/GroupAction/MultipleTransitivity.lean,Mathlib/GroupTheory/GroupAction/SubMulAction/OfFixingSubgroup.lean,Mathlib/GroupTheory/GroupAction/SubMulAction/OfStabilizer.lean,Mathlib/LinearAlgebra/RootSystem/Irreducible.lean,Mathlib/LinearAlgebra/RootSystem/WeylGroup.lean,Mathlib/RingTheory/Etale/Kaehler.lean,Mathlib/RingTheory/Ideal/Over.lean,Mathlib/RingTheory/LocalProperties/Projective.lean,Mathlib/RingTheory/Localization/InvSubmonoid.lean,Mathlib/RingTheory/OreLocalization/Basic.lean |
25 |
26 |
['artie2000', 'eric-wieser', 'github-actions', 'j-loreaux', 'kckennylau', 'leanprover-bot', 'leanprover-radar', 'linesthatinterlace', 'mathlib4-merge-conflict-bot', 'pechersky'] |
joelriou assignee:joelriou |
1 |
184-41183 6 months ago |
205-77132 205 days ago |
63-23787 63 days |
| 32889 |
artie2000 author:artie2000 |
feat(Algebra): forgetful lemmas for `map` and `comap` on substructures |
* Standardise the form of forgetful lemmas for `map` and `comap` (ie, `(co)map_toSubfoo`)
* Add missing lemmas of this form
* Mark all such lemmas as `simp`
---
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[](https://gitpod.io/from-referrer/)
|
t-algebra
awaiting-author
merge-conflict
blocked-by-other-PR
label:t-algebra$ |
72/17 |
Mathlib/Algebra/Algebra/NonUnitalSubalgebra.lean,Mathlib/Algebra/Algebra/Subalgebra/Basic.lean,Mathlib/Algebra/Group/Subgroup/Map.lean,Mathlib/Algebra/Module/Submodule/Map.lean,Mathlib/Algebra/Ring/Subsemiring/Basic.lean,Mathlib/Algebra/Star/Subalgebra.lean |
6 |
30 |
['YaelDillies', 'artie2000', 'github-actions', 'mathlib-dependent-issues', 'mathlib4-merge-conflict-bot', 'vihdzp'] |
nobody |
1 |
172-73556 5 months ago |
182-48103 182 days ago |
2-56660 2 days |
| 33381 |
urkud author:urkud |
feat: add a version of the Schwarz lemma |
Add a version of the Schwarz lemma that is midway between the original lemma
and Pick's version.
Use it to show that a function that is separately holomorphic on a polydisc
and is bounded on this polydisc must be continuous on it.
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[](https://gitpod.io/from-referrer/)
- [ ] depends on: #33368
- [x] depends on: #33362 |
t-analysis
blocked-by-other-PR
merge-conflict
|
475/91 |
Mathlib.lean,Mathlib/Analysis/Complex/Schwarz.lean,Mathlib/Analysis/Complex/UnitDisc/Basic.lean,Mathlib/Analysis/Complex/UnitDisc/Schwarz.lean,Mathlib/Analysis/Complex/UnitDisc/Shift.lean |
5 |
22 |
['girving', 'github-actions', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot', 'urkud'] |
nobody |
1 |
169-17589 5 months ago |
170-72469 170 days ago |
0-947 15 minutes |
| 17176 |
arulandu author:arulandu |
feat: integrals and integrability with .re |
Lemmas for swapping order of .re and integration/integrability.
---
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|
merge-conflict
awaiting-author
new-contributor
t-measure-probability
please-adopt
|
49/0 |
Mathlib/MeasureTheory/Function/L1Space.lean,Mathlib/MeasureTheory/Integral/IntegrableOn.lean,Mathlib/MeasureTheory/Integral/IntervalIntegral.lean,Mathlib/MeasureTheory/Integral/SetIntegral.lean |
4 |
32 |
['EtienneC30', 'arulandu', 'github-actions', 'loefflerd'] |
nobody |
1 |
163-52163 5 months ago |
611-13000 611 days ago |
9-73631 9 days |
| 25905 |
mans0954 author:mans0954 |
feat(RingTheory/Polynomial/SmallDegreeVieta): polynomial versions of results in Algebra.QuadraticDiscriminant |
This PR continues the work from #25605.
Original PR: https://github.com/leanprover-community/mathlib4/pull/25605 |
merge-conflict
t-ring-theory
please-adopt
|
77/8 |
Mathlib/Algebra/Polynomial/Coeff.lean,Mathlib/RingTheory/Polynomial/SmallDegreeVieta.lean |
2 |
47 |
['chrisflav', 'github-actions', 'kckennylau', 'mans0954', 'mathlib4-merge-conflict-bot', 'ocfnash'] |
chrisflav assignee:chrisflav |
1 |
158-41056 5 months ago |
284-69435 284 days ago |
82-4874 82 days |
| 12934 |
grunweg author:grunweg |
chore: replace more uses of > or ≥ by < or ≤ |
These were flagged by the linter in https://github.com/leanprover-community/mathlib4/pull/12879: it is easy to simple avoid > or ≥ in hypotheses or haves.
---
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merge-conflict
awaiting-author
help-wanted
|
41/42 |
Archive/Imo/Imo1962Q1.lean,Archive/Imo/Imo1988Q6.lean,Archive/Imo/Imo1994Q1.lean,Archive/Imo/Imo2005Q3.lean,Archive/Imo/Imo2006Q3.lean,Archive/Imo/Imo2008Q2.lean,Archive/Imo/Imo2008Q3.lean,Archive/Imo/Imo2019Q4.lean,Archive/Sensitivity.lean,Archive/Wiedijk100Theorems/CubingACube.lean,Mathlib/Tactic/Linarith/Datatypes.lean,test/cancel_denoms.lean,test/congr.lean,test/interval_cases.lean,test/observe.lean |
15 |
12 |
['YaelDillies', 'adomani', 'github-actions', 'grunweg', 'jcommelin', 'urkud'] |
nobody |
1 |
157-22471 5 months ago |
761-78296 761 days ago |
1-73101 1 day |
| 32880 |
0xTerencePrime author:0xTerencePrime |
feat(Analysis/Asymptotics): define subpolynomial growth |
## Main definitions
* `Asymptotics.IsSubpolynomial l f g`: A function `f` has subpolynomial growth with respect to `g` along filter `l` if `f = O(1 + ‖g‖^k)` for some natural `k`.
## Main results
* `IsSubpolynomial.const`: Constant functions have subpolynomial growth
* `IsSubpolynomial.id`: Identity has subpolynomial growth
* `IsSubpolynomial.add`: Closure under addition
* `IsSubpolynomial.neg`: Closure under negation
* `IsSubpolynomial.sub`: Closure under subtraction
* `IsSubpolynomial.mul`: Closure under multiplication
* `IsSubpolynomial.pow`: Closure under powers
* `isSubpolynomial_iff_one_add`: Equivalence with `(1 + ‖g‖)^k` formulation
* `IsSubpolynomial.uniform`: Uniform bounds for finite families
## Implementation notes
The definition uses `1 + ‖g‖^k` rather than `(1 + ‖g‖)^k` as the primary form, with the equivalence established in `isSubpolynomial_iff_one_add`. Four private auxiliary lemmas handle the key inequalities needed for closure proofs.
Closes #32658
|
awaiting-author
t-analysis
new-contributor
|
185/0 |
Mathlib.lean,Mathlib/Analysis/Asymptotics/Subpolynomial.lean |
2 |
29 |
['0xTerencePrime', 'ADedecker', 'github-actions', 'j-loreaux'] |
ADedecker assignee:ADedecker |
1 |
156-55237 5 months ago |
157-36695 157 days ago |
22-14560 22 days |
| 29610 |
llllvvuu author:llllvvuu |
feat(LinearAlgebra): define LinearMap.Eigenbasis |
Some theorems are left TODO for follow-up work.
The definition is from @eric-wieser ([#Is there code for X? > diagonalizable linear maps @ 💬](https://leanprover.zulipchat.com/#narrow/channel/217875-Is-there-code-for-X.3F/topic/diagonalizable.20linear.20maps/near/539163222)).
Co-authored-by: Aristotle Harmonic <aristotle-harmonic@harmonic.fun>
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- [x] depends on: #29420 (golfs some `[Nontrivial R]` assumptions)
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebra
awaiting-author
label:t-algebra$ |
455/5 |
Mathlib.lean,Mathlib/Analysis/InnerProductSpace/Spectrum.lean,Mathlib/LinearAlgebra/Eigenbasis.lean,Mathlib/LinearAlgebra/FreeModule/PID.lean,Mathlib/Order/CompleteLattice/Basic.lean |
5 |
31 |
['github-actions', 'joelriou', 'kckennylau', 'llllvvuu', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
joelriou assignee:joelriou |
1 |
154-60880 5 months ago |
211-8416 211 days ago |
20-33900 20 days |
| 20719 |
gio256 author:gio256 |
feat(AlgebraicTopology): delaborators for truncated simplicial notations |
We add delaborators for the following notations, introduced in #20688:
- `⦋m⦌ₙ`, which denotes the `m`-dimensional simplex in the `n`-truncated simplex category.
- `X _⦋m⦌ₙ`, which denotes the `m`-th term of an `n`-truncated simplicial object `X`.
- `X ^⦋m⦌ₙ`, which denotes the `m`-th term of an `n`-truncated cosimplicial object `X`.
If `pp.proofs` is set to `true`, we also pretty-print the proof `p : m ≤ n` for all three notations as `⦋m, p⦌ₙ`, `X _⦋m, p⦌ₙ`, and `X ^⦋m, p⦌ₙ`, respectively.
Credit to @kmill for one piece of code and much metaprogramming inspiration.
---
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|
merge-conflict
t-algebraic-topology
infinity-cosmos
t-meta
please-adopt
will-close-soon
|
525/33 |
Mathlib.lean,Mathlib/AlgebraicTopology/SimplexCategory/Basic.lean,Mathlib/AlgebraicTopology/SimplexCategory/Defs.lean,Mathlib/AlgebraicTopology/SimplicialObject/Basic.lean,Mathlib/Tactic.lean,Mathlib/Tactic/SimplexCategory.lean,Mathlib/Util/Superscript.lean,MathlibTest/SimplexCategory.lean,MathlibTest/SimplicialObject.lean,MathlibTest/superscript.lean,scripts/noshake.json |
11 |
24 |
['eric-wieser', 'gio256', 'github-actions', 'joneugster', 'kim-em', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot'] |
nobody |
1 |
152-71822 5 months ago |
332-48962 332 days ago |
88-84229 88 days |
| 21476 |
grunweg author:grunweg |
feat(lint-style): enable running on downstream projects |
Enable lint-style to run on downstream projects, by making the following modifications:
- allow passing an explicit list of libraries to lint: if nothing is passed, it lints `Mathlib`, `Archive` and `Counterexamples` (as before); otherwise, it lints precisely the passed modules
- only check init imports, undocumented scripts and the errors from `lint-style.py` when linting Mathlib
- make the style exceptions file configurable and optional: using the `nolints-file` flag, the exceptions file can be configured. If the flag is omitted, we try to find a file at `scripts/nolints-style.txt` --- and otherwise proceed with no style exceptions.
This means mathlib can continue unchanged, and downstream projects can either add an explicit exceptions file, or proceed without any exceptions.
After this PR, one should be able to run lint-style on a downstream project by `lake exe lint-style ProjectName`.
Prompted by [this zulip discussion](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/lint-style.20for.20downstream.20libraries).
---
- [x] depends on: #24570
- [x] depends on: #24953
(I did not test the last part.)
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|
merge-conflict
t-linter
awaiting-author
please-adopt
|
58/19 |
Mathlib/Tactic/Linter/TextBased.lean,scripts/lint-style.lean |
2 |
21 |
['Vierkantor', 'adomani', 'github-actions', 'grunweg', 'joneugster', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot'] |
nobody |
1 |
146-5157 4 months ago |
397-65890 397 days ago |
43-17409 43 days |
| 34092 |
staroperator author:staroperator |
feat(SetTheory/ZFC): properties of `ZFSet.omega` |
---
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|
t-set-theory
awaiting-author
|
77/10 |
Mathlib/SetTheory/ZFC/Basic.lean,Mathlib/SetTheory/ZFC/Ordinal.lean,Mathlib/SetTheory/ZFC/PSet.lean |
3 |
31 |
['Komyyy', 'YaelDillies', 'github-actions', 'mathlib4-merge-conflict-bot', 'staroperator', 'vihdzp'] |
YaelDillies assignee:YaelDillies |
1 |
139-56062 4 months ago |
52-7794 52 days ago |
99-2887 99 days |
| 33493 |
michelsol author:michelsol |
feat(RingTheory/Polynomial): An explicit formula for the Chebyshev polynomials of the first kind |
Adds the following explicit formula on the Chebyshev polynomial of the first kind of order n.
${ T_{n}(x)\ =\ \sum \limits _{k=0}^{\lfloor {\frac {n}{2}}\rfloor } {\binom {n}{2k}} \left(\ X^{2}-1\ \right)^{k}\ X^{n-2k}}$
This explicit formula can be found [here](https://en.wikipedia.org/wiki/Chebyshev_polynomials#Explicit_expressions). There is a proof using complex numbers but it only works if the ring R = ℂ.
The proof here is by induction and works in a commutative ring R.
Mathlib seems to extend the definition of Chebyshev polynomials for $n \in \mathbb{Z}$ but this would make the formula more cumbersome with `n.natAbs` in place of `n`'s, so I expressed it on `n : ℕ` directly.
---
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|
t-ring-theory
new-contributor
awaiting-author
|
51/1 |
Mathlib/RingTheory/Polynomial/Chebyshev.lean |
1 |
8 |
['YuvalFilmus', 'erdOne', 'github-actions', 'metakunt', 'michelsol'] |
chrisflav assignee:chrisflav |
1 |
130-32871 4 months ago |
130-32871 130 days ago |
35-16105 35 days |
| 31141 |
peabrainiac author:peabrainiac |
feat(Analysis/Calculus): parametric integrals over smooth functions are smooth |
Show that for any smooth function `f : H × ℝ → E`, the parametric integral `fun x ↦ ∫ t in a..b, f (x, t) ∂μ` is smooth too.
The argument proceeds inductively, using the fact that derivatives of parametric integrals can themselves be computed as parametric integrals. The necessary lemmas on derivatives of parametric integrals already existed, but took some work to apply due to their generality; we state some convenient special cases.
---
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|
t-analysis
awaiting-author
maintainer-merge
|
470/12 |
Mathlib/Analysis/Calculus/ParametricIntegral.lean,Mathlib/Analysis/Calculus/ParametricIntervalIntegral.lean,Mathlib/MeasureTheory/Integral/DominatedConvergence.lean,Mathlib/Topology/NhdsWithin.lean,Mathlib/Topology/Separation/Regular.lean |
5 |
36 |
['fpvandoorn', 'github-actions', 'j-loreaux', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot', 'peabrainiac', 'sgouezel'] |
j-loreaux assignee:j-loreaux |
1 |
126-83176 4 months ago |
126-83176 126 days ago |
33-85043 33 days |
| 11500 |
mcdoll author:mcdoll |
refactor(Topology/Algebra/Module/WeakDual): Clean up |
- Move `Dual` and `dualPairing` lower in the import-hierachy
- deduplicate `dualPairing`
- Bundle continuity statements to `CLM`s.
- Make `WeakDual` and `WeakSpace` reducible
- Remove `refine'` in favor of `refine`
---
Cleaning up `Analysis/NormedSpace/WeakDual` will be done in a second PR
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|
merge-conflict
awaiting-author
t-topology
|
227/179 |
Mathlib.lean,Mathlib/Analysis/Fourier/RiemannLebesgueLemma.lean,Mathlib/Analysis/InnerProductSpace/Adjoint.lean,Mathlib/Analysis/InnerProductSpace/Dual.lean,Mathlib/Analysis/LocallyConvex/Polar.lean,Mathlib/Analysis/NormedSpace/Dual.lean,Mathlib/Analysis/NormedSpace/WeakDual.lean,Mathlib/Analysis/VonNeumannAlgebra/Basic.lean,Mathlib/MeasureTheory/Function/AEEqOfIntegral.lean,Mathlib/MeasureTheory/Measure/FiniteMeasure.lean,Mathlib/Topology/Algebra/Module/CharacterSpace.lean,Mathlib/Topology/Algebra/Module/Dual.lean,Mathlib/Topology/Algebra/Module/WeakDual.lean,docs/overview.yaml,docs/undergrad.yaml |
15 |
16 |
['ADedecker', 'grunweg', 'j-loreaux', 'kkytola', 'mathlib-bors', 'mcdoll', 'urkud'] |
nobody |
2 |
122-72824 4 months ago |
771-72024 771 days ago |
46-5571 46 days |
| 35134 |
fpvandoorn author:fpvandoorn |
feat(translate): print constant names with hover info |
Part of #34846.
---
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|
t-meta
awaiting-author
merge-conflict
|
46/28 |
Mathlib/Tactic/Translate/Core.lean,MathlibTest/toAdditive.lean |
2 |
6 |
['JovanGerb', 'github-actions', 'mathlib-merge-conflicts'] |
JovanGerb assignee:JovanGerb |
1 |
122-64744 4 months ago |
124-57200 124 days ago |
2-13760 2 days |
| 35524 |
grunweg author:grunweg |
feat: text-based linter against \t followed by tactic mode |
Wait for the zulip discussion to converge. **If** there is consensus in favour of this change, summarise the motivation here.
[zulip discuss](https://leanprover.zulipchat.com/#narrow/channel/345428-mathlib-reviewers/topic/proposal.3A.20no.20more.20use.20of.20.60.E2.96.B8.60.20in.20Mathlib.3F/with/574680826)
---
There are currently 80 remaining exceptions in mathlib: ideally, these would get fixed before merging this.
Works best when combined with #35523.
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t-linter
awaiting-zulip
merge-conflict
|
23/2 |
Mathlib/Tactic/Linter/TextBased.lean |
1 |
5 |
['github-actions', 'grunweg', 'joneugster', 'mathlib-merge-conflicts', 'vihdzp'] |
nobody |
1 |
117-66213 3 months ago |
119-2585 119 days ago |
0-3308 55 minutes |
| 31766 |
SuccessMoses author:SuccessMoses |
feat(Topology/EMetricSpace): continuity of arc length |
fixes half of #31751
---
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new-contributor
t-topology
awaiting-author
merge-conflict
|
396/0 |
Mathlib.lean,Mathlib/Topology/EMetricSpace/ArcLength.lean,Mathlib/Topology/EMetricSpace/BoundedVariation.lean |
3 |
40 |
['SnirBroshi', 'SuccessMoses', 'alreadydone', 'github-actions', 'grunweg', 'j-loreaux', 'mathlib-merge-conflicts'] |
nobody |
1 |
114-45225 3 months ago |
190-46095 190 days ago |
2-77113 2 days |
| 35494 |
Timeroot author:Timeroot |
feat(Topology/Perfect): simp frontier_singleton |
Add simp lemma
```
theorem frontier_singleton {X : Type*} [TopologicalSpace X] [T1Space X]
[PerfectSpace X] (p : X) : frontier {p} = {p}
```
---
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|
t-topology
awaiting-author
|
4/0 |
Mathlib/Topology/Perfect.lean |
1 |
4 |
['Timeroot', 'github-actions', 'urkud', 'vihdzp'] |
urkud assignee:urkud |
1 |
113-68402 3 months ago |
114-27538 114 days ago |
5-41003 5 days |
| 30872 |
rudynicolop author:rudynicolop |
feat(Computability/NFA): NFA closure under concatenation |
This PR proves that regular languages are closed under concatenation via a direct construction on `NFA`s without `εNFA` nor ε-transitions. The main new definitions and results include:
- `M1.concat M2`, the concatenation of `NFA`s `M1` and `M2`, a direct construction without ε-transitions.
- Theorem `accepts_concat : (M1.concat M2).accepts = M1.accepts * M2.accepts`, showing the correctness of the construction.
- Theorem `IsRegular.mul`, showing that regular languages are closed under concatenation.
---
- [x] depends on: #31038
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|
t-computability
new-contributor
awaiting-author
|
104/7 |
Mathlib/Computability/NFA.lean |
1 |
67 |
['YaelDillies', 'ctchou', 'eric-wieser', 'github-actions', 'lambda-fairy', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot', 'rudynicolop'] |
nobody |
2 |
111-69821 3 months ago |
139-53230 139 days ago |
59-63565 59 days |
| 30431 |
kckennylau author:kckennylau |
feat(RingTheory): a homogeneous submodule is the span of its homogeneous elements |
---
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|
t-ring-theory
merge-conflict
|
22/0 |
Mathlib/RingTheory/GradedAlgebra/Homogeneous/Ideal.lean,Mathlib/RingTheory/GradedAlgebra/Homogeneous/Submodule.lean |
2 |
9 |
['alreadydone', 'github-actions', 'kckennylau', 'mariainesdff', 'mathlib-merge-conflicts'] |
mariainesdff assignee:mariainesdff |
1 |
104-53544 3 months ago |
226-72306 226 days ago |
23-21820 23 days |
| 17627 |
hrmacbeth author:hrmacbeth |
feat: universal properties of vector bundle constructions |
Characterizations for the smoothness of maps into the total spaces of (1) the direct sum of two vector bundles; (2) the pullback of a vector bundle.
This gap in the library was exposed by #17358.
---
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- [x] depends on: #22804
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-differential-geometry
|
311/9 |
Mathlib/Data/Bundle.lean,Mathlib/Geometry/Manifold/VectorBundle/Basic.lean,Mathlib/Geometry/Manifold/VectorBundle/Pullback.lean,Mathlib/Topology/FiberBundle/Constructions.lean |
4 |
26 |
['PatrickMassot', 'fpvandoorn', 'github-actions', 'grunweg', 'hrmacbeth', 'j-loreaux', 'leanprover-community-bot-assistant', 'mathlib-bors', 'mathlib4-dependent-issues-bot', 'sgouezel'] |
grunweg assignee:grunweg |
1 |
103-79936 3 months ago |
363-79675 363 days ago |
91-68302 91 days |
| 19275 |
eric-wieser author:eric-wieser |
fix: if nolint files change, do a full rebuild |
Otherwise CI will succeed when removing entries from the file, but fail later when someone changes something unrelated.
---
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|
merge-conflict |
8/0 |
lakefile.lean |
1 |
22 |
['YaelDillies', 'adomani', 'eric-wieser', 'fpvandoorn', 'github-actions', 'grunweg', 'mathlib-bors'] |
nobody |
1 |
103-79919 3 months ago |
575-34154 575 days ago |
0-214 3 minutes |
| 33592 |
nielstron author:nielstron |
feat(Computability/ContextFreeGrammar): mapping between two types of nonterminal symbols |
This PR picks up https://github.com/leanprover-community/mathlib4/pull/15895 and resolves the failing lemma by redefining Good symbols.
---
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I checked that https://github.com/leanprover-community/mathlib4/pull/13514 builds correctly when based on this build. PR for that is #33599
This is my first contribution please let me know of any changes I should outline.
[](https://gitpod.io/from-referrer/)
|
awaiting-author
t-computability
new-contributor
|
160/0 |
Mathlib/Computability/ContextFreeGrammar.lean |
1 |
34 |
['YaelDillies', 'github-actions', 'madvorak', 'nielstron'] |
nobody |
1 |
103-68935 3 months ago |
153-11062 153 days ago |
10-68503 10 days |
| 27534 |
PierreQuinton author:PierreQuinton |
feat: a typeclass for `sSup`/`sInf` to be lawful |
Adds lawful infima and suprema type classes.
A preorder with lawful suprema: whenever a set has a least upper bound, `sSup` returns a least upper bound for that set.
A preorder with lawful infima: whenever a set has a greatest lower bound, `sInf` returns a greastest lower bound for that set.
---
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|
merge-conflict
t-order
|
121/8 |
Mathlib.lean,Mathlib/Order/CompleteLattice/Defs.lean,Mathlib/Order/LawfulSupInf.lean |
3 |
26 |
['PierreQuinton', 'YaelDillies', 'github-actions', 'mathlib4-merge-conflict-bot', 'plp127', 'vihdzp'] |
nobody |
1 |
95-64639 3 months ago |
211-9314 211 days ago |
114-37921 114 days |
| 37111 |
tannerduve author:tannerduve |
feat(Computability): add Nat.PrimrecIn and PrimrecIn |
- Add `Nat.PrimrecIn`: primitive recursive functions relative to a set of oracles
- Add `PrimrecIn`: lifts `Nat.PrimrecIn` to `Primcodable` types
A `PrimrecIn` version of `RecursiveIn.iff_nat` (i.e., `PrimrecIn O (f : ℕ → ℕ) ↔ Nat.PrimrecIn O f`) is left as future work as it requires proving `Nat.PrimrecIn O Nat.pred`, which needs additional API for `Nat.PrimrecIn`.
---
Split out from #34937 as requested in review.
- [x] depends on: #37061 |
t-computability
new-contributor
awaiting-author
|
24/0 |
Mathlib/Computability/RecursiveIn.lean |
1 |
14 |
['Komyyy', 'bryangingechen', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'tannerduve'] |
nobody |
1 |
68-49843 2 months ago |
69-62702 69 days ago |
1-79421 1 day |
| 37247 |
yuma-mizuno author:yuma-mizuno |
feat(GroupTheory/MonoidLocalization): add prime transport lemmas |
---
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|
t-ring-theory
awaiting-author
|
75/7 |
Mathlib/GroupTheory/MonoidLocalization/MonoidWithZero.lean,Mathlib/RingTheory/Localization/Basic.lean,Mathlib/RingTheory/Localization/Defs.lean |
3 |
6 |
['github-actions', 'riccardobrasca'] |
riccardobrasca assignee:riccardobrasca |
1 |
63-3496 2 months ago |
63-3496 63 days ago |
20-41780 20 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 |
3 |
62-81660 2 months ago |
62-81624 62 days ago |
78-15227 78 days |
| 36740 |
euprunin author:euprunin |
chore: golf using `grind` |
The goal of this PR is to decrease the number of times lemmas are called explicitly. Any decrease in compilation time is a welcome side effect, although it is not a primary objective.
Trace profiling results (differences <30 ms considered measurement noise):
* `AlgebraicGeometry.Scheme.isBasis_affineOpens`: unchanged 🎉
* `SimpleGraph.Walk.takeUntil_eq_take`: 263 ms before, 180 ms after 🎉
* `SimpleGraph.Walk.dropUntil_eq_drop`: 382 ms before, 261 ms after 🎉
* `Int.image_Ico_emod`: unchanged 🎉
* `Equiv.Perm.ofSubtype_swap_eq`: unchanged 🎉
Profiled using `set_option trace.profiler true in`.
---
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|
merge-conflict |
7/33 |
Mathlib/AlgebraicGeometry/AffineScheme.lean,Mathlib/Combinatorics/SimpleGraph/Walk/Decomp.lean,Mathlib/Data/Int/Interval.lean,Mathlib/GroupTheory/Perm/Support.lean |
4 |
8 |
['artie2000', 'chenson2018', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
1 |
49-45854 1 month ago |
49-45855 49 days ago |
43-5868 43 days |
| 37603 |
Parcly-Taxel author:Parcly-Taxel |
refactor: review of `SetSemiring` |
* Rename `Set.up` and `SetSemiring.down` to `SetSemiring.ofSet` and `SetSemiring.toSet` respectively. Unprotect both and make them equivalences, following `FreeMonoid`.
* Derive `CompleteAtomicBooleanAlgebra` for `SetSemiring` immediately.
* Add `imageHom_id` and `imageHom_comp`. The three existing lemmas about `imageHom` are coalesced into `imageHom_apply`.
Ultimately inspired by https://github.com/leanprover-community/mathlib4/pull/36934#issuecomment-4183475568. |
maintainer-merge
merge-conflict
|
120/165 |
Mathlib/Algebra/Algebra/Operations.lean,Mathlib/Data/Set/Semiring.lean |
2 |
42 |
['Parcly-Taxel', 'YaelDillies', 'eric-wieser', 'github-actions', 'mathlib-merge-conflicts', 'sgouezel'] |
nobody |
1 |
49-37244 1 month ago |
49-37245 49 days ago |
22-62470 22 days |
| 38170 |
maddycrim author:maddycrim |
feat(Algebra/Module/FinitePresentation): Finitely Presented Module Lemma |
From FLT Project
Main Definitions:
`Module.FinitePresentation.exists_fin_exact` : A finitely presented module M admits an exact sequence F' -> F -> M -> 0 where F' and F are finite free modules.
---
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|
t-algebra
new-contributor
awaiting-author
label:t-algebra$ |
9/0 |
Mathlib/Algebra/Module/FinitePresentation.lean |
1 |
17 |
['chrisflav', 'github-actions', 'maddycrim', 'themathqueen', 'vlad902'] |
nobody |
1 |
44-8260 1 month ago |
44-8260 44 days ago |
17-43852 17 days |
| 38328 |
astrainfinita author:astrainfinita |
feat: `OrderSupSet` |
This PR introduces `OrderSupSet` and `OrderInfSet`, which are typeclasses expressing that `sSup` (resp., `sInf`) returns the least upper bound (resp., the greatest lower bound) of a set whenever one exists.
This allows us to prove properties about the `sSup` of specific sets (such as `∅`, singletons, finite sets, and `univ`) without any typeclasses asserting the existence of LUBs. For example, `sSup ∅ = ⊥` holds for any type equipped with `OrderBot` `OrderSupSet`, no longer requiring typeclasses like `ConditionallyCompleteLinearOrderBot`.
For a general set `s`, this gives a uniform way to extend results about `IsLUB s a → motive a` to `motive (sSup s)`, `motive (⨆ i, f i)`, `motive (a ⊔ b)`, etc., which allows proof reuse for basic API such as [`csSup_insert`](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Order/ConditionallyCompleteLattice/Basic.html#csSup_insert), [`iSup_insert`](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Order/CompleteLattice/Basic.html#iSup_insert), and [`sSup_insert`](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Order/CompleteLattice/Basic.html#sSup_insert) and downstream code like [`csSup_add`](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Algebra/Order/Group/Pointwise/CompleteLattice.html#csSup_add), [`sSup_add`](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Algebra/Order/Group/Pointwise/CompleteLattice.html#sSup_add), and [`sup_add`](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Algebra/Order/Group/Lattice.html#sup_add).
Furthermore, this allows us to refactor incrementally, reducing the dependency of results about various completeness typeclasses on the specific implementation of `sSup`.
---
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|
t-order |
156/73 |
Mathlib/MeasureTheory/OuterMeasure/Induced.lean,Mathlib/Order/Bounds/Basic.lean,Mathlib/Order/Bounds/Defs.lean,Mathlib/Order/CompleteLattice/Basic.lean,Mathlib/Order/CompleteLattice/Defs.lean,Mathlib/Order/SetNotation.lean,Mathlib/Topology/UniformSpace/OfCompactT2.lean |
7 |
16 |
['JovanGerb', 'astrainfinita', 'b-mehta', 'github-actions', 'j-loreaux', 'mathlib-merge-conflicts', 'openendings', 'vihdzp'] |
nobody |
1 |
40-11491 1 month ago |
40-11530 40 days ago |
45-41678 45 days |
| 37053 |
artie2000 author:artie2000 |
refactor(Analysis/Convex/Cone): use `PointedCone` in Riesz extension theorem |
Change the statement of the Riesz extension theorem to take a `PointedCone` rather than a `ConvexCone`.
This PR is part of a series replacing `ConvexCone` with `PointedCone`. https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Replacing.20.60ConvexCone.60.20with.20.60PointedCone.60/near/581184307
---
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|
t-convex-geometry
maintainer-merge
merge-conflict
|
15/12 |
Mathlib/Analysis/Convex/Cone/Extension.lean,Mathlib/Geometry/Convex/Cone/Pointed.lean |
2 |
9 |
['YaelDillies', 'artie2000', 'github-actions', 'mathlib-merge-conflicts', 'ocfnash'] |
nobody |
1 |
37-45457 1 month ago |
37-45458 37 days ago |
46-71615 46 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 |
1 |
36-42512 1 month ago |
37-30748 37 days ago |
37-30188 37 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 |
1 |
35-37803 1 month ago |
42-2381 42 days ago |
67-68077 67 days |
| 37722 |
SabrinaJewson author:SabrinaJewson |
feat(Order/Cover): intervals equal singletons iff |
To complement `Set.Icc_eq_singleton_iff`, this introduces:
- `Set.Ioc_eq_singleton_iff` / `Set.Ico_eq_singleton_iff`
- `Set.Ico_eq_singleton_left_iff` / `Set.Ioc_eq_singleton_right_iff`
- `Set.Ioi_eq_singleton_iff` / `Set.Iio_eq_singleton_iff`
- `Set.Ioi_eq_singleton_top_iff` / `Set.Iio_eq_singleton_bot_iff`
- `Set.Ioo_eq_singleton_iff`
---
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|
t-order
new-contributor
awaiting-author
maintainer-merge
|
39/0 |
Mathlib/Order/Atoms.lean,Mathlib/Order/Cover.lean |
2 |
16 |
['Komyyy', 'SabrinaJewson', 'github-actions', 'mathlib-merge-conflicts'] |
bryangingechen assignee:bryangingechen |
1 |
34-57294 1 month ago |
37-10251 37 days ago |
35-12445 35 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 |
1 |
33-31290 1 month ago |
33-31362 33 days ago |
33-39398 33 days |
| 36832 |
KryptosAI author:KryptosAI |
chore(Data/Finset/Card): rename `pred_card_le_card_erase` to `sub_one_card_le_card_erase` |
## Summary
The name `pred_card_le_card_erase` suggests `Nat.pred` but the statement uses `- 1` (i.e., `Nat.sub 1`). Rename to `sub_one_card_le_card_erase` to match the actual statement.
A deprecated alias is added for backwards compatibility.
### Files changed
- `Mathlib/Data/Finset/Card.lean` — definition renamed + deprecated alias
- `Mathlib/Data/Finset/Powerset.lean` — reference updated
- `Mathlib/Combinatorics/Additive/SubsetSum.lean` — reference updated
- `Mathlib/Algebra/Polynomial/EraseLead.lean` — reference updated
Addresses the `Finset.pred_card_le_card_erase` item in #21584.
## AI disclosure
I used Claude Code to explore the codebase (finding all references to rename) and to draft the PR description. I reviewed and understand all changes — these are straightforward renames with a deprecated alias. |
new-contributor
awaiting-author
|
22/15 |
Mathlib/Algebra/Polynomial/EraseLead.lean,Mathlib/Combinatorics/Additive/SubsetSum.lean,Mathlib/Combinatorics/SetFamily/AhlswedeZhang.lean,Mathlib/Combinatorics/SetFamily/Shadow.lean,Mathlib/Data/Finset/Card.lean,Mathlib/Data/Finset/Powerset.lean,Mathlib/Data/Set/Card.lean,Mathlib/GroupTheory/Perm/Support.lean,Mathlib/RingTheory/Ideal/Operations.lean |
9 |
8 |
['KryptosAI', 'Multramate', 'dagurtomas', 'github-actions', 'mattrobball', 'ooovi'] |
nobody |
1 |
30-79030 30 days ago |
30-79030 30 days ago |
59-48094 59 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 |
1 |
30-34213 30 days ago |
155-51321 155 days ago |
155-50761 155 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 |
1 |
29-72271 29 days ago |
29-72336 29 days ago |
39-45689 39 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 |
1 |
29-25891 29 days ago |
30-52549 30 days ago |
30-51989 30 days |
| 34440 |
grunweg author:grunweg |
feat: linter for name components in uppercase |
Per the naming convention, these are errors (unless they are an abbreviation).
Mathlib has *many* violations at the moment: for this reason, we add this as an environment linter
and automatically add all current exceptions. Once these have been fixed, converting to a syntax linter
is desirable.
Until then, track the number of such exceptions as technical debt.
---
[Zulip discussion](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/naming.20convention.20linter/with/570617527)
Note to self: wait for CI, then do a final nolints update. and try to implement the follow-up soon
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t-linter
large-import
awaiting-author
please-adopt
merge-conflict
|
1024/8 |
Mathlib/Tactic/Linter/Style.lean,MathlibTest/DoubleUnderscore.lean,MathlibTest/Lint.lean,MathlibTest/LintStyle.lean,scripts/nolints.json |
5 |
29 |
['Vierkantor', 'github-actions', 'grunweg', 'joneugster', 'mathlib-merge-conflicts'] |
nobody |
1 |
27-3717 27 days ago |
120-5598 120 days ago |
13-82065 13 days |
| 36774 |
euprunin author:euprunin |
chore: replace long terminal `rw […]`:s (≥4 lemmas) with bare `simp`:s |
The goal of this PR is to decrease the number of times lemmas are called explicitly. Any decrease in compilation time is a welcome side effect, although it is not a primary objective.
Trace profiling results (differences <30 ms considered measurement noise):
* `Finset.lcm_union`: unchanged 🎉
* `Finset.gcd_union`: unchanged 🎉
* `Polynomial.derivative_eval₂_C`: unchanged 🎉
* `Polynomial.expand_pow`: unchanged 🎉
* `Cardinal.mk_real`: unchanged 🎉
* `Real.log_zpow`: unchanged 🎉
* `Matroid.eRank_le_encard_add_eRk_compl`: unchanged 🎉
* `DFinsupp.single_tsub`: unchanged 🎉
* `EReal.inv_neg`: unchanged 🎉
* `Finsupp.toMultiset_map`: unchanged 🎉
* `Finsupp.single_tsub`: unchanged 🎉
* `Multiset.countP_map`: unchanged 🎉
* `Nat.ascFactorial_eq_factorial_mul_choose'`: unchanged 🎉
* `Real.sign_intCast`: unchanged 🎉
* `Real.volume_eball`: unchanged 🎉
* `Real.volume_closedEBall`: unchanged 🎉
* `LFunction_ne_zero_of_not_quadratic_or_ne_one`: 295 ms before, 152 ms after 🎉
* `hasSum_one_div_nat_pow_mul_cos`: unchanged 🎉
* `inv_eq_of_aeval_divX_ne_zero`: unchanged 🎉
* `AlgebraicIndependent.aeval_comp_mvPolynomialOptionEquivPolynomialAdjoin`: unchanged 🎉
* `Ordinal.deriv_mul_eq_opow_omega0_mul`: unchanged 🎉
Profiled using `set_option trace.profiler true in`.
---
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|
merge-conflict |
22/24 |
Mathlib/Algebra/GCDMonoid/Finset.lean,Mathlib/Algebra/Polynomial/Derivative.lean,Mathlib/Algebra/Polynomial/Expand.lean,Mathlib/Analysis/Real/Cardinality.lean,Mathlib/Analysis/SpecialFunctions/Log/Basic.lean,Mathlib/Combinatorics/Matroid/Rank/ENat.lean,Mathlib/Data/DFinsupp/Order.lean,Mathlib/Data/EReal/Inv.lean,Mathlib/Data/Finsupp/Multiset.lean,Mathlib/Data/Finsupp/Order.lean,Mathlib/Data/Multiset/Filter.lean,Mathlib/Data/Nat/Choose/Basic.lean,Mathlib/Data/Real/Sign.lean,Mathlib/MeasureTheory/Measure/Lebesgue/Basic.lean,Mathlib/NumberTheory/LSeries/Nonvanishing.lean,Mathlib/NumberTheory/ZetaValues.lean,Mathlib/RingTheory/Algebraic/Basic.lean,Mathlib/RingTheory/AlgebraicIndependent/Basic.lean,Mathlib/SetTheory/Ordinal/FixedPoint.lean |
19 |
3 |
['artie2000', 'euprunin', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
1 |
25-62061 25 days ago |
25-62062 25 days ago |
67-395 67 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 |
2 |
24-5608 24 days ago |
24-7272 24 days ago |
28-57011 28 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 |
1 |
23-72755 23 days ago |
26-26929 26 days ago |
26-26369 26 days |
| 26975 |
Whysoserioushah author:Whysoserioushah |
feat: a norm_num extension for complex numbers |
co-authored-by : @thefundamentaltheor3m, @hrmacbeth
---
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* depends on: #39628
* depends on: #39620
[](https://gitpod.io/from-referrer/)
|
t-meta |
444/14 |
Mathlib.lean,Mathlib/Analysis/RCLike/Basic.lean,Mathlib/Data/Complex/Basic.lean,Mathlib/Tactic.lean,Mathlib/Tactic/NormNum/Core.lean,Mathlib/Tactic/NormNum/Eq.lean,Mathlib/Tactic/NormNum/NormNumI.lean,Mathlib/Tactic/NormNum/OfScientific.lean,Mathlib/Tactic/NormNum/Result.lean,MathlibTest/norm_numI.lean |
10 |
76 |
['JovanGerb', 'Vierkantor', 'Whysoserioushah', 'dupuisf', 'eric-wieser', 'github-actions', 'grunweg', 'hrmacbeth', 'mathlib4-merge-conflict-bot'] |
eric-wieser assignee:eric-wieser |
1 |
23-33044 23 days ago |
28-54918 28 days ago |
112-30556 112 days |
| 39722 |
kg583 author:kg583 |
feat(Combinatorics): Link `Nat.Partition` to `YoungDiagram` |
---
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[](https://gitpod.io/from-referrer/)
|
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 |
2 |
23-26196 23 days ago |
25-53405 25 days ago |
26-50420 26 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 |
1 |
23-2637 23 days ago |
26-84748 26 days ago |
26-84188 26 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 |
1 |
21-65266 21 days ago |
22-21176 22 days ago |
22-20616 22 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 |
1 |
21-33073 21 days ago |
82-58167 82 days ago |
82-58343 82 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 |
1 |
20-83478 20 days ago |
37-71759 37 days ago |
37-71363 37 days |
| 34271 |
gasparattila author:gasparattila |
feat(Topology/Sets): second-countability of `(Nonempty)Compacts` |
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t-topology |
17/76 |
Mathlib/Topology/MetricSpace/Closeds.lean,Mathlib/Topology/Sets/VietorisTopology.lean |
2 |
9 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot', 'scholzhannah'] |
PatrickMassot assignee:PatrickMassot |
1 |
18-32415 18 days ago |
40-50380 40 days ago |
77-58723 77 days |
| 39720 |
vihdzp author:vihdzp |
feat: cofinality within order |
We introduce `Order.cofWithin x = Order.cof (Iio x)` for the cofinality of an element within a preorder. This generalizes `Ordinal.cof`, with the caveat that `cof o : Cardinal.{u}` for `o : Ordinal.{u}`, whereas `cofWithin o : Cardinal.{u + 1}`.
---
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t-set-theory
maintainer-merge
|
104/14 |
Mathlib/SetTheory/Cardinal/Basic.lean,Mathlib/SetTheory/Cardinal/Cofinality/Basic.lean,Mathlib/SetTheory/Cardinal/Cofinality/Ordinal.lean |
3 |
11 |
['SnirBroshi', 'YaelDillies', 'b-mehta', 'github-actions', 'mathlib-merge-conflicts', 'vihdzp'] |
alreadydone assignee:alreadydone |
1 |
18-32406 18 days ago |
23-19403 23 days ago |
26-44712 26 days |
| 39759 |
plp127 author:plp127 |
chore(FieldTheory/KrullTopology): move lemmas to earlier file |
We move some lemmas unrelated to the Krull topology out of the `KrullTopology` file. They are placed in the earlier file `FieldTheory/IsGalois/Basic` instead.
---
In #23693 it is said that
> The proof of it uses some results in this file, so it can't be put into earlier files.
This is no longer true, so we want move it out of the `KrullTopology` file because the theorems have nothing to do with the Krull topology. I found that they can go in `FieldTheory/IsGalois/Basic` without modifying the proofs. They cannot go any earlier because the statement of the theorems contains `IsGalois`, which is defined in this file.
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|
t-algebra label:t-algebra$ |
59/68 |
Mathlib/FieldTheory/Galois/Basic.lean,Mathlib/FieldTheory/KrullTopology.lean |
2 |
5 |
['acmepjz', 'github-actions', 'grunweg', 'plp127', 'vihdzp'] |
nobody |
1 |
18-18567 18 days ago |
25-48107 25 days ago |
25-47547 25 days |
| 40033 |
JJYYY-JJY author:JJYYY-JJY |
chore: remove flexible linter suppressions |
This PR removes two local `linter.flexible` suppressions by replacing compact `simp; infer_instance` with explicit proofs.
Changed files:
- `Mathlib/Dynamics/TopologicalEntropy/DynamicalEntourage.lean`
- `Mathlib/Topology/UniformSpace/Ultra/Constructions.lean`
Tested with:
`lake build`
---
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|
new-contributor |
6/8 |
Mathlib/Dynamics/TopologicalEntropy/DynamicalEntourage.lean,Mathlib/Topology/UniformSpace/Ultra/Constructions.lean |
2 |
6 |
['chenson2018', 'github-actions', 'vihdzp'] |
nobody |
2 |
17-62622 17 days ago |
19-42806 19 days ago |
19-42246 19 days |
| 34875 |
banrovegrie author:banrovegrie |
feat(LinearAlgebra/Matrix): add Sherman-Morrison formula |
Mathlib has the matrix determinant lemma (`det_add_replicateCol_mul_replicateRow` in SchurComplement.lean) but lacked the corresponding inverse formula. This PR fills that gap.
- Add `Matrix.inv_add_vecMulVec`: Sherman-Morrison formula for `(A + uv^T)^{-1}`
- Add `Matrix.inv_sub_vecMulVec`: subtraction variant
- Add `Matrix.isUnit_det_add_vecMulVec`: invertibility under the formula's hypotheses
## Test plan
- [x] `lake build` passes
- [x] Lines within 100 char limit
- [x] All declarations have docstrings
**Any specific AI usage?**: Used Copilot for review purposes. |
t-algebra
new-contributor
awaiting-author
label:t-algebra$ |
135/0 |
Mathlib.lean,Mathlib/LinearAlgebra/Matrix/ShermanMorrison.lean |
2 |
15 |
['Xxxjdjdid', 'banrovegrie', 'chrisflav', 'copilot-pull-request-reviewer', 'eric-wieser', 'github-actions', 'wwylele'] |
chrisflav assignee:chrisflav |
1 |
17-61108 17 days ago |
63-62185 63 days ago |
69-6728 69 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 |
1 |
16-46696 16 days ago |
20-51831 20 days ago |
21-15185 21 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 |
1 |
16-32236 16 days ago |
82-58156 82 days ago |
82-58356 82 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 |
1 |
16-32232 16 days ago |
40-52391 40 days ago |
54-15547 54 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 |
1 |
16-19501 16 days ago |
19-97 18 days ago |
18-85937 18 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 |
1 |
15-5355 15 days ago |
15-5437 15 days ago |
19-58519 19 days |
| 32989 |
kim-em author:kim-em |
fix(Tactic/Simps): skip @[defeq] inference for non-exposed definitions |
This PR makes `@[simps]` check whether the source definition's body is exposed before calling `inferDefEqAttr`. When the body is not exposed, we skip the `@[defeq]` inference to avoid validation errors.
Without this fix, using `@[simps]` on a definition that is not `@[expose]`d produces an error like:
```
Theorem Foo_bar has a `rfl`-proof and was thus inferred to be `@[defeq]`, but validating that attribute failed:
Not a definitional equality: the left-hand side ... is not definitionally equal to the right-hand side ...
Note: This theorem is exported from the current module. This requires that all definitions that need to be unfolded to prove this theorem must be exposed.
```
The fix checks `(← getEnv).setExporting true |>.find? cfg.srcDeclName |>.any (·.hasValue)` to determine if the definition body is visible in the public scope, and only calls `inferDefEqAttr` if it is.
🤖 Prepared with Claude Code |
t-meta
LLM-generated
|
68/16 |
Mathlib/CategoryTheory/Triangulated/TStructure/TruncLTGE.lean,Mathlib/Tactic/Simps/Basic.lean,Mathlib/Tactic/Translate/Core.lean,MathlibTest/SimpsModule.lean |
4 |
22 |
['JovanGerb', 'Vierkantor', 'github-actions', 'joneugster', 'kim-em', 'mathlib-merge-conflicts'] |
nobody |
1 |
14-24209 14 days ago |
14-21453 14 days ago |
37-21977 37 days |
| 39727 |
vihdzp author:vihdzp |
feat: stationary sets |
We define stationary sets as sets intersecting all club sets, and prove basic theorems about them.
---
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|
t-set-theory
maintainer-merge
|
154/22 |
Mathlib/Order/Cofinal.lean,Mathlib/SetTheory/Cardinal/Cofinality/Club.lean |
2 |
11 |
['YaelDillies', 'github-actions', 'plp127', 'vihdzp'] |
nobody |
1 |
14-424 14 days ago |
14-504 13 days ago |
26-38676 26 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 |
1 |
13-70057 13 days ago |
19-83874 19 days ago |
19-83393 19 days |
| 37346 |
euprunin author:euprunin |
chore: golf using `grind` |
The goal of this PR is to decrease the number of times lemmas are called explicitly. Any decrease in compilation time is a welcome side effect, although it is not a primary objective.
Trace profiling results (differences <30 ms considered measurement noise):
* `✅️ SimpleGraph.Walk.IsPath.getVert_injOn`: unchanged 🎉
* `✅️ SimpleGraph.Walk.length_bypass_le`: unchanged 🎉
* `✅️ Rat.floor_intCast_div_natCast`: unchanged 🎉
* `✅️ InnerProductGeometry.norm_eq_of_angle_sub_eq_angle_sub_rev_of_angle_ne_pi`: unchanged 🎉
* `✅️ padicNorm.zero_of_padicNorm_eq_zero`: unchanged 🎉
Profiled using `set_option trace.profiler true in`.
---
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|
maintainer-merge
awaiting-zulip
merge-conflict
|
7/45 |
Mathlib/Combinatorics/SimpleGraph/Paths.lean,Mathlib/Data/Rat/Floor.lean,Mathlib/Geometry/Euclidean/Triangle.lean,Mathlib/NumberTheory/Padics/PadicNorm.lean |
4 |
23 |
['FernandoChu', 'bryangingechen', 'chenson2018', 'euprunin', 'faenuccio', 'github-actions', 'grunweg', 'mathlib-merge-conflicts'] |
nobody |
1 |
13-36810 13 days ago |
49-80939 49 days ago |
30-49603 30 days |
| 35287 |
arnoudvanderleer author:arnoudvanderleer |
feat(AlgebraicTopology/SimplicialSet): define isomorphisms in simplicial sets, and the coherent isomorphism simplicial set |
show that any edge in a simplicial set, that is the image of the forward edge of the coherent isomorphism under a simplicial set morphism, is an isomorphism.
---
[](https://gitpod.io/from-referrer/)
|
t-algebraic-topology
new-contributor
infinity-cosmos
awaiting-author
|
362/3 |
Mathlib.lean,Mathlib/AlgebraicTopology/SimplicialSet/CoherentIso.lean,Mathlib/AlgebraicTopology/SimplicialSet/CompStruct.lean,Mathlib/AlgebraicTopology/SimplicialSet/NerveCodiscrete.lean,Mathlib/AlgebraicTopology/SimplicialSet/StdSimplex.lean,Mathlib/CategoryTheory/CodiscreteCategory.lean |
6 |
129 |
['arnoudvanderleer', 'dagurtomas', 'github-actions', 'joelriou', 'mathlib-merge-conflicts', 'robin-carlier'] |
robin-carlier assignee:robin-carlier |
1 |
11-14697 11 days ago |
17-4806 17 days ago |
37-84499 37 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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[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
52/0 |
Mathlib/Combinatorics/SimpleGraph/Paths.lean |
1 |
10 |
['IvanRenison', 'SnirBroshi', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'vlad902'] |
nobody |
1 |
10-76387 10 days ago |
10-77207 10 days ago |
11-64210 11 days |
| 33355 |
0xTerencePrime author:0xTerencePrime |
feat(Combinatorics/SimpleGraph/Connectivity): define vertex connectivity |
**AI Disclosure**: Developed with LLM assistance (Claude). All mathematical design decisions were made by the author.
---
This PR introduces the foundations of vertex connectivity for simple graphs, providing a counterpart to the edge connectivity theory in #32870.
### Main definitions
- `SimpleGraph.IsVertexReachable`: two vertices are `k`-vertex-reachable if they remain reachable after removing any set of strictly fewer than `k` vertices, using `G.induce sᶜ`.
- `SimpleGraph.IsVertexPreconnected`: a graph is `k`-vertex-preconnected if any two vertices are `k`-vertex-reachable.
- `SimpleGraph.IsVertexConnected`: a graph is `k`-vertex-connected if it is `k`-vertex-preconnected and has more than `k` vertices (`k + 1 ≤ ENat.card V`).
### Key lemmas
- `k = 0`: 0-connected ↔ nonempty; 0-preconnected always holds
- `k = 1`: 1-connected ↔ `Nontrivial V ∧ G.Preconnected`
- `anti` / `mono`: antitonic in `k`, monotonic in the graph |
new-contributor
t-combinatorics
LLM-generated
awaiting-author
merge-conflict
|
169/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Connectivity/VertexConnectivity.lean |
2 |
166 |
['0xTerencePrime', 'SnirBroshi', 'SproutSeeds', 'YaelDillies', 'github-actions', 'mathlib-merge-conflicts', 'vihdzp'] |
b-mehta assignee:b-mehta |
1 |
10-47355 10 days ago |
16-43819 16 days ago |
65-5110 65 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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[](https://gitpod.io/from-referrer/)
|
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 |
1 |
9-56142 9 days ago |
9-58697 9 days ago |
15-17381 15 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 |
1 |
9-32809 9 days ago |
35-46738 35 days ago |
35-46178 35 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 |
1 |
8-80212 8 days ago |
8-83610 8 days ago |
10-85352 10 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 |
1 |
8-78865 8 days ago |
9-64078 9 days ago |
10-45617 10 days |
| 38612 |
SnirBroshi author:SnirBroshi |
feat(Order/SuccPred/CompleteLinearOrder): `sSup s < x` iff theorems when we know if `x` is a successor pre-limit or not |
Adds the following theorems (along with their duals and indexed versions):
```lean
sSup_lt_iff_of_not_isSuccPrelimit : ¬IsSuccPrelimit x → sSup s < x ↔ ∀ a ∈ s, a < x
le_sSup_iff_of_not_isSuccPrelimit : ¬IsSuccPrelimit x → x ≤ sSup s ↔ ∃ a ∈ s, x ≤ a
Order.IsSuccPrelimit.sSup_lt_iff : IsSuccPrelimit x → sSup s < x ↔ ∃ a < x, ∀ b ∈ s, b < a
Order.IsSuccPrelimit.le_sSup_iff : IsSuccPrelimit x → x ≤ sSup s ↔ ∀ a < x, ∃ b ∈ s, a ≤ b
```
They are similar to these existing theorems, but not the same:
```lean
sSup_lt_iff : sSup s < x ↔ ∃ a < x, ∀ b ∈ s, b ≤ a
le_sSup_iff_forall_lt : x ≤ sSup s ↔ ∀ a < x, ∃ b ∈ s, a < b
```
---
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|
t-order |
43/0 |
Mathlib/Order/SuccPred/CompleteLinearOrder.lean |
1 |
6 |
['SnirBroshi', 'github-actions', 'vihdzp'] |
bryangingechen assignee:bryangingechen |
1 |
7-32310 7 days ago |
15-58322 15 days ago |
51-8159 51 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 |
1 |
6-75946 6 days ago |
40-65017 40 days ago |
91-62873 91 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 |
1 |
6-67232 6 days ago |
6-68114 6 days ago |
6-68127 6 days |
| 40138 |
faenuccio author:faenuccio |
doc: fix the doc of two files about group actions |
|
documentation
t-group-theory
maintainer-merge
|
146/144 |
Mathlib/GroupTheory/GroupAction/Quotient.lean,Mathlib/GroupTheory/Schreier.lean |
2 |
31 |
['adomani', 'b-mehta', 'eric-wieser', 'faenuccio', 'github-actions', 'grunweg', 'jcommelin', 'tb65536'] |
tb65536 assignee:tb65536 |
1 |
6-17132 6 days ago |
9-28161 9 days ago |
11-1773 11 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 |
1 |
5-14181 5 days ago |
48-31125 48 days ago |
67-64998 67 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 |
1 |
4-76310 4 days ago |
39-46832 39 days ago |
56-6921 56 days |
| 38943 |
felixpernegger author:felixpernegger |
feat(Topology/CWComplex/Classical): discrete spaces are CW complexes |
as well as some useful lemmas
This is partly based on code by @scholzhannah
I think this is notable to include, since it is pretty much the only (easy) "topological" sufficient condition for something being a CW complex there is.
---
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|
t-topology |
88/2 |
Mathlib/Topology/CWComplex/Classical/Basic.lean,Mathlib/Topology/DiscreteSubset.lean |
2 |
29 |
['felixpernegger', 'github-actions', 'mathlib-merge-conflicts', 'scholzhannah'] |
urkud assignee:urkud |
1 |
4-48842 4 days ago |
4-47445 4 days ago |
39-56526 39 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 |
1 |
4-42730 4 days ago |
4-42784 4 days ago |
5-20967 5 days |
| 34633 |
mitchell-horner author:mitchell-horner |
feat(Combinatorics/SimpleGraph): define the Zarankiewicz function |
Defines the Zarankiewicz function $z(m, n; s, t)$ in terms of bipartite graphs.
---
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|
t-combinatorics
maintainer-merge
|
164/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Extremal/Zarankiewicz.lean,Mathlib/Combinatorics/SimpleGraph/Maps.lean |
3 |
30 |
['SnirBroshi', 'YaelDillies', 'b-mehta', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mitchell-horner'] |
nobody |
1 |
4-20957 4 days ago |
4-21767 4 days ago |
83-51915 83 days |
| 28685 |
mitchell-horner author:mitchell-horner |
feat(Combinatorics/SimpleGraph): prove the minimal-degree version of the Erdős-Stone theorem |
Proves the minimal degree-version of the Erdős-Stone theorem:
If `G` has a minimal degree of at least `(1 - 1 / r + o(1)) * card V`, then `G` contains a copy of a `completeEquipartiteGraph` in `r + 1` parts each of size `t`.
The double-counting construction from the proof is available in `namespace ErdosStone`.
---
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- [x] depends on: #27597
- [x] depends on: #27599
- [x] depends on: #28443
- [x] depends on: #28445
- [x] depends on: #28446
- [x] depends on: #28447
This is the first of several pull requests towards the full Erdős-Stone(-Simonovits) theorem, hence the name of the file.
[](https://gitpod.io/from-referrer/) |
t-combinatorics
maintainer-merge
|
329/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Extremal/ErdosStoneSimonovits.lean |
2 |
19 |
['YaelDillies', 'b-mehta', 'github-actions', 'mathlib-dependent-issues', 'mathlib4-merge-conflict-bot', 'mitchell-horner', 'robin-carlier'] |
nobody |
1 |
4-20238 4 days ago |
4-21103 4 days ago |
105-38478 105 days |
| 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
awaiting-author
|
11/0 |
Mathlib/Data/Finset/Prod.lean |
1 |
5 |
['b-mehta', 'github-actions', 'j-loreaux', 'plp127'] |
joneugster assignee:joneugster |
1 |
4-18121 4 days ago |
4-18121 4 days ago |
22-55326 22 days |
| 40568 |
yuanyi-350 author:yuanyi-350 |
doc: note Steinhaus theorem in `1000.yaml` |
[MeasureTheory.Measure.div_mem_nhds_one_of_haar_pos](https://leanprover-community.github.io/mathlib4_docs/Mathlib/MeasureTheory/Measure/Haar/Basic.html#MeasureTheory.Measure.div_mem_nhds_one_of_haar_pos)
---
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|
documentation
easy
t-measure-probability
|
3/1 |
docs/1000.yaml |
1 |
4 |
['felixpernegger', 'github-actions', 'grunweg', 'yuanyi-350'] |
kex-y assignee:kex-y |
1 |
4-4496 4 days ago |
5-23663 5 days ago |
5-23103 5 days |
| 40567 |
Erotemic author:Erotemic |
feat(Analysis/InnerProductSpace): gram rigidity theorems |
---
[LLM-generated] This proof was written by Fable 5, Opus 4.8, and critiqued by GPT 5.5.
This PR is the first of what I think are significant mathlib contributions.
I have introduced this problem in: https://leanprover.zulipchat.com/#narrow/channel/583339-AI-authored-projects/topic/AI-assisted.20MDS.20and.20spectral.20PRs/with/602650518
I started down this formalization road attempting to formalize a result about estimating an LLM-benchmark estimation technique: DKPS (Data Kernel Perspective Space): https://github.com/AIQ-Kitware/aiq-dkps-formalization/
I have a basic understanding of lean. I am working to learn the required math to understand this, but I'm afraid I don't pass the "understand every line of this" test. I do however know that the theorem statement look reasonable, and it type checks as part of an argument I do understand at a higher level.
The interesting thing about these proofs is that they were resistant to AI formalization until Fable-5 came out. Still it took a few days of effort to push everything into its current shape.
I'm willing to dedicate more time and work through the process of landing this. |
t-analysis
new-contributor
LLM-generated
|
167/3 |
Mathlib/Analysis/InnerProductSpace/Basic.lean,Mathlib/Analysis/InnerProductSpace/GramMatrix.lean,docs/references.bib |
3 |
36 |
['Erotemic', 'github-actions', 'wwylele'] |
nobody |
1 |
3-33569 3 days ago |
3-56152 3 days ago |
5-28197 5 days |
| 39307 |
FordUniver author:FordUniver |
feat(Combinatorics/SimpleGraph/Copy): introduce `UnlabeledCopy` carrier subtype |
Adds `abbrev UnlabeledCopy A B := {B' : B.Subgraph // Nonempty (A ≃g B'.coe)}` and uses it to replace the previous inline filter-set body of `copyCount G H`. Drops the now unused legacy Finset-image bridge `copyCount_eq_card_image_copyToSubgraph`. Adds `uniqueUnlabeledCopyBot` instance so `copyCount_bot` is a one-liner via `Fintype.card_unique`.
Co-authored-by: Malte Jackisch <45597826+MaltyBlanket@users.noreply.github.com>
---
**Step 1/5 of the `Copy` / `InducedCopy` refactor-feat stack.**
This PR isolates the `UnlabeledCopy` type introduction and the count's type-form redefinition from the larger rename/convention work in the rest of the stack. Note that resolving the current clash in naming (`Copy` and `UnlabeledCopy` vs `labelledCopyCount` and `copyCount`) is part of #38745.
|
t-combinatorics
maintainer-merge
|
32/30 |
Mathlib/Combinatorics/SimpleGraph/Copy.lean |
1 |
9 |
['FordUniver', 'SnirBroshi', 'YaelDillies', 'github-actions', 'mathlib-bors', 'mathlib-merge-conflicts', 'mitchell-horner'] |
nobody |
2 |
3-8847 3 days ago |
24-12338 24 days ago |
34-20917 34 days |
| 39296 |
scholzhannah author:scholzhannah |
feat: more informative output messages in the flexible linter |
The current output messages in the flexible linter are:
- If the stained location is a hypothesis:
`'exact h' uses 'h'!`
- If the stained location is the goal:
`'exact Nat.le_succ_of_le h' uses '⊢'!`
I think the first is not very informative and the second is additionally confusing. So this PR changes them to read:
- For a hypothesis:
`'exact h' uses 'h', which was modified by the flexible tactic 'simp' on line 40!`
- And for the goal:
`'exact Nat.le_succ_of_le h' modifies the current goal, which was modified by the flexible tactic 'simp_all' on line 56!`
I also added some more explanation to the messages in the case that all the hypotheses and the goal were stained by `simp at *`.
---
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|
t-linter |
187/42 |
Mathlib/Tactic/Linter/FlexibleLinter.lean,MathlibTest/Linter/Flexible/Basic.lean,MathlibTest/Linter/Flexible/ImportHeavy.lean |
3 |
23 |
['b-mehta', 'chenson2018', 'github-actions', 'grunweg', 'joneugster', 'mathlib-merge-conflicts', 'scholzhannah', 'thorimur'] |
grunweg, joneugster, thorimur assignee:joneugster assignee:grunweg assignee:thorimur |
2 |
3-5020 3 days ago |
6-65847 6 days ago |
18-72861 18 days |
| 31361 |
alreadydone author:alreadydone |
feat(Algebra/Order): convex subgroups |
---
- [x] depends on: #32886
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|
t-algebra
t-order
maintainer-merge
label:t-algebra$ |
318/0 |
Mathlib.lean,Mathlib/Algebra/Order/Archimedean/Class.lean,Mathlib/Algebra/Order/Group/Convex.lean,Mathlib/Order/Birkhoff.lean,Mathlib/Order/Quotient.lean |
5 |
70 |
['Vierkantor', 'YaelDillies', 'alreadydone', 'faenuccio', 'github-actions', 'kckennylau', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot', 'vihdzp', 'wwylele'] |
faenuccio assignee:faenuccio |
1 |
2-80793 2 days ago |
11-55351 11 days ago |
40-82302 40 days |
| 24965 |
erdOne author:erdOne |
refactor: Make `IsLocalHom` take unbundled map |
Under the current definition, `IsLocalHom f` and `IsLocalHom f.toMonoidHom` are not defeq, which causes quite some annoyances. We also have a consensus to not use `*HomClass` in definitions. As a result, we change `IsLocalHom` to take an unbundled function instead of a funlike.
---
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|
t-algebra
delegated
merge-conflict
label:t-algebra$ |
18/9 |
Mathlib/Algebra/Group/Units/Hom.lean,Mathlib/AlgebraicGeometry/Scheme.lean,Mathlib/Geometry/RingedSpace/LocallyRingedSpace.lean,Mathlib/Geometry/RingedSpace/OpenImmersion.lean,Mathlib/RingTheory/LocalRing/ResidueField/Basic.lean |
5 |
18 |
['adomani', 'alreadydone', 'erdOne', 'eric-wieser', 'github-actions', 'jcommelin', 'leanprover-community-bot-assistant', 'mathlib-bors', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot', 'vihdzp'] |
mattrobball assignee:mattrobball |
1 |
2-71524 2 days ago |
212-5024 212 days ago |
24-84527 24 days |
| 40530 |
j-loreaux author:j-loreaux |
feat: introduce `SelfAdjointDecompose` class |
---
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|
t-algebra
maintainer-merge
label:t-algebra$ |
70/27 |
Mathlib/Algebra/Order/Star/Basic.lean,Mathlib/Algebra/Order/Star/Real.lean,Mathlib/Analysis/CStarAlgebra/PositiveLinearMap.lean,Mathlib/Analysis/SpecialFunctions/ContinuousFunctionalCalculus/PosPart/Basic.lean,Mathlib/LinearAlgebra/Complex/Module.lean |
5 |
23 |
['eric-wieser', 'github-actions', 'j-loreaux', 'themathqueen'] |
nobody |
1 |
2-68130 2 days ago |
4-21444 4 days ago |
5-52550 5 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
awaiting-author
|
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 |
81 |
['SnirBroshi', 'YaelDillies', 'github-actions', 'jessealama', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'vlad902'] |
b-mehta assignee:b-mehta |
1 |
2-57514 2 days ago |
3-10775 3 days ago |
71-22971 71 days |
| 39579 |
hawkrobe author:hawkrobe |
feat(RingTheory): Bialgebra / Hopf algebra structure on SymmetricAlgebra |
Adds Hopf algebra structure on SymmetricAlgebra.
---
- [x] depends on: #39483
- [x] depends on: #39785
- [ ] depends on: #39841
- [ ] depends on: #31898
- [ ] depends on: #39790 |
t-ring-theory
new-contributor
blocked-by-other-PR
merge-conflict
|
691/22 |
Mathlib.lean,Mathlib/LinearAlgebra/TensorAlgebra/Basic.lean,Mathlib/RingTheory/Bialgebra/Primitive.lean,Mathlib/RingTheory/Bialgebra/Quotient.lean,Mathlib/RingTheory/Bialgebra/SymmetricAlgebra.lean,Mathlib/RingTheory/Bialgebra/TensorAlgebra.lean,Mathlib/RingTheory/Coalgebra/Quotient.lean,Mathlib/RingTheory/HopfAlgebra/Generators.lean,Mathlib/RingTheory/HopfAlgebra/Primitive.lean,Mathlib/RingTheory/HopfAlgebra/Quotient.lean,Mathlib/RingTheory/HopfAlgebra/SymmetricAlgebra.lean,Mathlib/RingTheory/HopfAlgebra/TensorAlgebra.lean |
12 |
14 |
['YaelDillies', 'github-actions', 'hawkrobe', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
YaelDillies assignee:YaelDillies |
1 |
2-53782 2 days ago |
24-53214 24 days ago |
1-18386 1 day |
| 29774 |
Raph-DG author:Raph-DG |
feat(AlgebraicGeometry): Order of vanishing of elements of the function field of locally noetherian, integral schemes |
In this PR, we define the order of vanishing of elements of the function field of locally noetherian, integral schemes at points of codimension 1. This is essentially just a wrapper around the API for the order of vanishing for rings (i.e. Ring.ord and Ring.ordFrac), but I think it's good to have this too for usability.
---
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- [ ] depends on: #29550
- [ ] depends on: #26735
[](https://gitpod.io/from-referrer/)
|
t-algebraic-geometry |
189/0 |
Mathlib.lean,Mathlib/Algebra/Order/GroupWithZero/Canonical.lean,Mathlib/AlgebraicGeometry/FunctionField.lean,Mathlib/AlgebraicGeometry/OrderOfVanishing.lean,Mathlib/AlgebraicGeometry/Properties.lean,Mathlib/Topology/Sheaves/Stalks.lean |
6 |
18 |
['Raph-DG', 'chrisflav', 'dagurtomas', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot'] |
nobody |
1 |
2-39775 2 days ago |
14-77204 14 days ago |
31-61174 31 days |
| 36706 |
kim-em author:kim-em |
feat(Tactic/FastInstance): warn when a synthesized sub-instance has leaky binder types |
This PR adds a warning to `fast_instance%` and `inferInstanceAs%` when they encounter a synthesized sub-instance that has leaky data-field binder types.
When `fast_instance%` recursively normalizes a class instance, it uses `trySynthInstance` to find canonical sub-instances. If a found sub-instance is not canonical at instances transparency (i.e., its internal lambda binder types reference an unexpanded type alias instead of the target carrier), the tool now emits a warning:
```
fast_instance%: 'leakySub' (for
SubClass MyNat) has leaky data-field binder types, which may cause `isDefEq` failures at
instances transparency (e.g. in `grind`). Consider redefining it with `fast_instance%` or
`inferInstanceAs%`.
To suppress: `set_option Elab.fast_instance.warnLeakySubInstances false`
```
The leakiness check uses `withDisabledInstance` to temporarily evict the sub-instance from the discrimination tree (preventing trivial self-match via `trySynthInstance`), then compares against the canonical form at instances transparency. A `warnLeaky` parameter propagates through recursive calls to prevent nested warnings.
The warning is suppressed via `set_option Elab.fast_instance.warnLeakySubInstances false`.
- [ ] depends on: #36701
🤖 Prepared with Claude Code |
t-meta
blocked-by-other-PR
LLM-generated
merge-conflict
|
410/20 |
Mathlib/Algebra/Module/Congruence/Defs.lean,Mathlib/GroupTheory/Congruence/Defs.lean,Mathlib/RingTheory/Congruence/Defs.lean,Mathlib/RingTheory/Ideal/Quotient/Basic.lean,Mathlib/Tactic/Common.lean,Mathlib/Tactic/DefEqAbuse.lean,Mathlib/Tactic/FastInstance.lean,MathlibTest/CheckInstance.lean,MathlibTest/DefEqAbuse.lean,MathlibTest/InferInstanceAsPercent.lean |
10 |
10 |
['Vierkantor', 'eric-wieser', 'github-actions', 'kim-em', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
Vierkantor assignee:Vierkantor |
1 |
2-15293 2 days ago |
94-26952 94 days ago |
0-1003 16 minutes |
| 30526 |
SnirBroshi author:SnirBroshi |
chore(Logic/Relation): use `≤` to spell subrelation |
Replace every `∀ x y, r x y → r' x y` with `r ≤ r'`
---
NOTE: this PR began as an effort to use `Subrelation` since `≤` wasn't available in this file, but it was agreed on [Zulip](https://leanprover.zulipchat.com/#narrow/channel/144837-PR-reviews/topic/.2330526.20use.20Subrelation.20in.20Mathlib.2ELogic.2ERelation/with/546572676) to instead make `≤` available there.
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Extracted moving the `LE` instances to a new PR, #40658.
This is intentionally not in the "depends on" format to avoid resetting the "total time in review" of this PR on the queue, and I'll keep this as `awaiting-author` until it merges.
[](https://gitpod.io/from-referrer/)
|
t-logic
awaiting-author
|
146/133 |
Mathlib.lean,Mathlib/CategoryTheory/Action.lean,Mathlib/CategoryTheory/ConnectedComponents.lean,Mathlib/CategoryTheory/Filtered/Connected.lean,Mathlib/CategoryTheory/IsConnected.lean,Mathlib/CategoryTheory/Limits/Final.lean,Mathlib/CategoryTheory/Limits/Types/Coequalizers.lean,Mathlib/CategoryTheory/Limits/Types/Filtered.lean,Mathlib/Combinatorics/Enumerative/DyckWord.lean,Mathlib/Combinatorics/SimpleGraph/Connectivity/Connected.lean,Mathlib/Computability/ContextFreeGrammar.lean,Mathlib/Computability/TuringMachine/Config.lean,Mathlib/GroupTheory/FreeGroup/Basic.lean,Mathlib/Logic/Relation.lean,Mathlib/Order/Basic.lean,Mathlib/Order/Defs/Prop.lean,Mathlib/Order/Interval/Finset/Basic.lean,Mathlib/Order/WellFoundedSet.lean,Mathlib/Topology/Gluing.lean |
19 |
28 |
['SnirBroshi', 'Vierkantor', 'eric-wieser', 'github-actions', 'joneugster', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot', 'plp127', 'thorimur', 'vihdzp'] |
Vierkantor and joneugster assignee:Vierkantor assignee:joneugster |
1 |
2-13850 2 days ago |
20-25619 20 days ago |
94-74564 94 days |
| 39341 |
drocta author:drocta |
feat(Algebra/Colimit/DirectLimit): add DirectLimit.(NonUnital)StarAlgebra.(lift/of) maps and associated lemmas |
add the `of` and `lift` maps for `DirectLimit.StarAlgebra` and `DirectLimit.NonUnitalStarAlgebra`, as well as the associated lemmas, `of_f`, `lift_comp_of`, `lift_of`, and `hom_ext` for each. Also make `DirectLimit.NonUnitalAlgebra` only require `[Monoid R]` rather than `[CommSemiring R]`.
---
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Use of AI: I again asked ChatGPT for some advice about some things about this code. I can personally vouch for all of the code I'm submitting, and that I understand all of it.
This is the third part of my project towards supporting direct limits of $C^∗$ -algebras (as I described [on Zulip](https://leanprover.zulipchat.com/#narrow/channel/113489-new-members/topic/Early.20feedback.20on.20approach.20towards.20formalizing.20UHF.20algebras.3F) ).
This PR adds an import of `Mathlib.Algebra.Star.StarAlgHom` (because it needs `StarAlgHom` and `NonUnitalStarAlgHom`) replacing/encompassing the previously added imports of `Mathlib.Algebra.Star.StarRingHom` and `Mathlib.Algebra.Algebra.NonUnitalHom` (added in PR #38308 and #38672 respectively). |
t-algebra
new-contributor
label:t-algebra$ |
100/3 |
Mathlib/Algebra/Colimit/DirectLimit.lean |
1 |
3 |
['dagurtomas', 'github-actions'] |
nobody |
1 |
2-6232 2 days ago |
35-35047 35 days ago |
35-34487 35 days |
| 39117 |
joelriou author:joelriou |
feat(CategoryTheory): the right derived functor commutes with the shift |
A few lemmas are obtained about precomposing and postcomposing left/right Kan extensions or right/left derived functors with equivalences of categories. By applying these results to the equivalences given by shifts, we construct a family of isomorphisms which shows that the right derived functor commutes with shifts, and by proving certain compatibilities, we obtain a `Functor.CommShift` instance on the right derived functor of a functor which commutes with shifts.
---
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[](https://gitpod.io/from-referrer/)
|
t-category-theory
large-import
awaiting-author
|
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 |
14 |
['dagurtomas', 'github-actions', 'joelriou', 'mathlib-merge-conflicts', 'robin-carlier'] |
robin-carlier assignee:robin-carlier |
1 |
1-83653 1 day ago |
1-83653 1 day ago |
14-73558 14 days |
| 35295 |
Rida-Hamadani author:Rida-Hamadani |
feat(SimpleGraph): `dropLast` of a cycle is a path |
---
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[](https://gitpod.io/from-referrer/)
|
t-combinatorics
maintainer-merge
|
3/0 |
Mathlib/Combinatorics/SimpleGraph/Paths.lean |
1 |
20 |
['Rida-Hamadani', 'SnirBroshi', 'YaelDillies', 'github-actions', 'mathlib-merge-conflicts', 'vlad902'] |
nobody |
2 |
1-80436 1 day ago |
1-81294 1 day ago |
36-48807 36 days |
| 38483 |
jessealama author:jessealama |
feat(Algebra): finset sums of antiperiodic functions |
Three lemmas about `Finset` sums of `Function.Antiperiodic` functions: `sum_map_addRightEmbedding` says that for `f` antiperiodic with antiperiod `c`, summing `f` over a `Finset` shifted by `c` (via `addRightEmbedding c`) negates the sum over the original; `sum_Ico_shift` is the half-open-interval specialization, immediate via `Finset.map_add_right_Ico`; and `sum_Ico_mul_add_sum_Ico_mul_shift_eq_zero` is a bilinear cancellation variant. The first lives in `Mathlib.Algebra.Ring.Periodic`; the interval lemmas are in the new file `Mathlib.Algebra.BigOperators.Periodic`. Spun off from #29713 (Euler-Poincaré formula), where the bilinear form is used. |
t-algebra label:t-algebra$ |
58/0 |
Mathlib.lean,Mathlib/Algebra/BigOperators/Periodic.lean,Mathlib/Algebra/Ring/Periodic.lean |
3 |
17 |
['github-actions', 'j-loreaux', 'jessealama', 'mathlib-splicebot', 'themathqueen', 'wwylele'] |
themathqueen assignee:themathqueen |
1 |
1-77749 1 day ago |
6-81642 6 days ago |
52-294 52 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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[](https://gitpod.io/from-referrer/)
|
new-contributor
t-combinatorics
maintainer-merge
|
39/0 |
Mathlib/Combinatorics/Enumerative/DoubleCounting.lean,Mathlib/Combinatorics/Pigeonhole.lean |
2 |
27 |
['IvanRenison', 'YaelDillies', 'cjrl', 'ghseeli', 'github-actions', 'j-loreaux', 'vlad902'] |
nobody |
1 |
1-72890 1 day ago |
1-72890 1 day ago |
81-51229 81 days |
| 38531 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/Paths): `Walk.map` preserves more properties |
Adds some missing theorems about how `Walk.map` behaves with `IsTrail`/`IsPath`/`IsCircuit`/`IsCycle`.
Summary of what we have now, with the 8 new theorems and 8 renames marked:
```
IsTrail.of_map : (p.map f).IsTrail → p.IsTrail -- new
isTrail_map_iff_of_injective : f.Injective → (p.map f).IsTrail ↔ p.IsTrail -- renamed from map_isTrail_iff_of_injective
IsTrail.map : f.Injective → p.IsTrail → (p.map f).IsTrail -- renamed from map_isTrail_of_injective
IsPath.of_map : (p.map f).IsPath → p.IsPath
isPath_map_iff_of_injective : f.Injective → (p.map f).IsPath ↔ p.IsPath -- renamed from map_isPath_iff_of_injective
IsPath.map : f.Injective f → p.IsPath → (p.map f).IsPath -- renamed from map_isPath_of_injective
IsCircuit.of_map : (p.map f).IsCircuit → p.IsCircuit -- new
isCircuit_map_iff_of_injective : f.Injective → (p.map f).IsCircuit ↔ p.IsCircuit -- new
IsCircuit.map : f.Injective → p.IsCircuit → (p.map f).IsCircuit -- new
IsCycle.of_map : (p.map f).IsCycle → p.IsCycle -- new
isCycle_map_iff_of_injective : f.Injective → (p.map f).IsCycle ↔ p.IsCycle -- renamed from map_isCycle_iff_of_injective
IsCycle.map : f.Injective → p.IsCycle → (p.map f).IsCycle
isTrail_mapLe : G ≤ G' → (p.mapLe h).IsTrail ↔ p.IsTrail -- renamed from mapLe_isTrail
IsTrail.of_mapLe : G ≤ G' → (p.mapLe h).IsTrail → p.IsTrail
IsTrail.mapLe : G ≤ G' → p.IsTrail → (p.mapLe h).IsTrail
isPath_mapLe : G ≤ G' → (p.mapLe h).IsPath ↔ p.IsPath -- renamed from mapLe_isPath
IsPath.of_mapLe : G ≤ G' → (p.mapLe h).IsPath → p.IsPath
IsPath.mapLe : G ≤ G' → p.IsPath → (p.mapLe h).IsPath
isCircuit_mapLe : G ≤ G' → (p.mapLe h).IsCircuit ↔ p.IsCircuit -- new
IsCircuit.of_mapLe : G ≤ G' → (p.mapLe h).IsCircuit → p.IsCircuit -- new
IsCircuit.mapLe : G ≤ G' → p.IsCircuit → (p.mapLe h).IsCircuit -- new
isCycle_mapLe : G ≤ G' → (p.mapLe h).IsCycle ↔ p.IsCycle -- renamed from mapLe_isCycle
IsCycle.of_mapLe : G ≤ G' → (p.mapLe h).IsCycle → p.IsCycle
IsCycle.mapLe : G ≤ G' → p.IsCycle → (p.mapLe h).IsCycle
```
---
Also golfs `map_isPath_of_injective`/`IsPath.of_map`/`map_isTrail_iff_of_injective`, they don't need induction.
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[](https://gitpod.io/from-referrer/)
|
t-combinatorics
maintainer-merge
|
76/44 |
Mathlib/Combinatorics/SimpleGraph/Acyclic.lean,Mathlib/Combinatorics/SimpleGraph/Paths.lean |
2 |
3 |
['YaelDillies', 'github-actions'] |
nobody |
1 |
1-71211 1 day ago |
1-75056 1 day ago |
53-42490 53 days |
| 38528 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/Paths): some cycle lemmas are true for circuits |
Add `IsCircuit.{not_of_nil,ne_bot,three_le_length}` by using their corresponding `IsCycle` proofs.
Also golfs a bit.
---
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|
t-combinatorics
maintainer-merge
|
15/13 |
Mathlib/Combinatorics/SimpleGraph/Girth.lean,Mathlib/Combinatorics/SimpleGraph/Paths.lean |
2 |
4 |
['SnirBroshi', 'YaelDillies', 'github-actions'] |
nobody |
1 |
1-71163 1 day ago |
1-72194 1 day ago |
53-60836 53 days |
| 38968 |
eric-wieser author:eric-wieser |
fix: improve defeqs of comp actions |
The (deliberately) non-reducible `SMul.comp.smul` definition caused us to end with these failing unification examples at instance reducibility:
```lean
example : (Module.compHom ℕ (RingHom.id ℕ)).toSMul = SMul.comp ℕ (RingHom.id ℕ) := by
with_reducible_and_instances rfl
example : (Module.compHom ℕ (RingHom.id ℕ)).toMulAction = MulAction.compHom ℕ (MonoidHom.id ℕ) := by
with_reducible_and_instances rfl
```
There are two issues this fixes:
* the `compHom` constructors are inconsistent on whether they use `SMul.comp.smul` or reimplement its contents
* we need `SMul.comp.smul` to be instance-reducible, so that when invoked with the identity function it is instance-defeq to the original action.
As a bonus, allowing these to unify means we can have a single `SMul.comp_smul_def` lemma that works for all of the `compHom` definitions.
We could also consider changing `compHom` to take a `HomClass` in order to remove the casts entirely, which would remove the need to add these `SMul.comp` terms. This PR leaves that for possible future work, noting that in the past we have moved away from writing `def`s taking `HomClass`es.
Co-authored-by: Junye Ji <jijunye1@outlook.com>
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Refined from #38777 |
t-algebra
delegated
label:t-algebra$ |
46/26 |
Mathlib/Algebra/Algebra/Defs.lean,Mathlib/Algebra/Group/Action/Defs.lean,Mathlib/Algebra/Group/Action/Hom.lean,Mathlib/Algebra/GroupWithZero/Action/Defs.lean,Mathlib/Algebra/GroupWithZero/Action/End.lean,Mathlib/Algebra/Module/RingHom.lean,Mathlib/Analysis/Complex/UpperHalfPlane/MoebiusAction.lean,Mathlib/Analysis/Complex/UpperHalfPlane/ProperAction.lean,Mathlib/Topology/Algebra/Group/OpenMapping.lean |
9 |
12 |
['JJYYY-JJY', 'Vierkantor', 'eric-wieser', 'github-actions', 'leanprover-radar', 'mathlib-bors'] |
nobody |
1 |
1-71069 1 day ago |
33-80583 33 days ago |
8-53809 8 days |
| 27180 |
ADedecker author:ADedecker |
feat: quotient of a monoid with zero by a multiplicative congruence |
---
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My motivation is getting a more conceptual construction of [ValuativeRel.ValueGroupWithZero](https://leanprover-community.github.io/mathlib4_docs/Mathlib/RingTheory/Valuation/ValuativeRel.html#ValuativeRel.ValueGroupWithZero), but I think this is of independent interest.
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebra
delegated
label:t-algebra$ |
141/26 |
Mathlib.lean,Mathlib/Data/Quot.lean,Mathlib/Data/Setoid/Basic.lean,Mathlib/GroupTheory/Congruence/Defs.lean,Mathlib/GroupTheory/Congruence/GroupWithZero.lean |
5 |
38 |
['ADedecker', 'eric-wieser', 'github-actions', 'mathlib-bors', 'mathlib4-merge-conflict-bot', 'ocfnash'] |
ocfnash assignee:ocfnash |
1 |
1-71056 1 day ago |
309-4590 309 days ago |
28-12053 28 days |
| 34015 |
erdOne author:erdOne |
feat(AlgebraicGeometry): category of schemes affine over a base |
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|
t-algebraic-geometry
delegated
merge-conflict
|
522/11 |
Mathlib.lean,Mathlib/AlgebraicGeometry/AffineOver.lean,Mathlib/AlgebraicGeometry/Limits.lean,Mathlib/AlgebraicGeometry/Morphisms/Affine.lean,Mathlib/AlgebraicGeometry/OpenImmersion.lean,Mathlib/AlgebraicGeometry/RelativeGluing.lean,Mathlib/AlgebraicGeometry/Sites/SmallAffineZariski.lean,Mathlib/CategoryTheory/Sites/Hypercover/Subcanonical.lean |
8 |
57 |
['chrisflav', 'dagurtomas', 'erdOne', 'github-actions', 'mathlib-bors', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot', 'riccardobrasca'] |
chrisflav assignee:chrisflav |
1 |
1-71053 1 day ago |
39-6308 39 days ago |
40-35668 40 days |
| 31135 |
kckennylau author:kckennylau |
feat(RingTheory): is localization iff is localization on saturation |
In this PR we show that `A` is a localization of `R` on the submonoid `S` iff it is so on the saturation of `S`.
Crucially, the saturation of `S` is precisely the elements that become a unit in `A`.
---
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[](https://gitpod.io/from-referrer/)
|
t-ring-theory
delegated
|
53/0 |
Mathlib.lean,Mathlib/RingTheory/Localization/Saturation.lean |
2 |
19 |
['alreadydone', 'chrisflav', 'github-actions', 'kckennylau', 'mathlib-bors', 'mathlib-dependent-issues', 'mathlib4-merge-conflict-bot', 'riccardobrasca'] |
chrisflav assignee:chrisflav |
1 |
1-71048 1 day ago |
72-1351 72 days ago |
32-67694 32 days |
| 34932 |
erdOne author:erdOne |
feat(AlgebraicGeometry): formally etale morphisms |
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|
t-algebraic-geometry
merge-conflict
delegated
|
163/12 |
Mathlib.lean,Mathlib/AlgebraicGeometry/Morphisms/Etale.lean,Mathlib/AlgebraicGeometry/Morphisms/FormallyEtale.lean,Mathlib/AlgebraicGeometry/Morphisms/RingHomProperties.lean,Mathlib/RingTheory/RingHom/Etale.lean |
5 |
21 |
['chrisflav', 'erdOne', 'github-actions', 'joneugster', 'mathlib-bors', 'mathlib-merge-conflicts', 'ocfnash'] |
nobody |
1 |
1-71045 1 day ago |
113-41180 113 days ago |
11-35673 11 days |
| 38937 |
zw810-ctrl author:zw810-ctrl |
feat: API and proof of `isStrictMap_prodMap` |
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|
t-topology
new-contributor
large-import
awaiting-author
|
60/0 |
Mathlib/Algebra/Group/Subgroup/Basic.lean,Mathlib/Topology/Algebra/Group/Basic.lean,Mathlib/Topology/Maps/Strict/Basic.lean |
3 |
51 |
['ADedecker', 'github-actions', 'mathlib-merge-conflicts', 'ocfnash', 'plp127', 'themathqueen', 'zw810-ctrl'] |
nobody |
1 |
1-65237 1 day ago |
19-63502 19 days ago |
0-20012 5 hours |
| 40515 |
j-loreaux author:j-loreaux |
feat: `Monoid` and `Group` instances for `OrderHom` and `OrderIso` |
These will be used in an upcoming PR to turn `fun x ↦ (x * · * star x)` into a term of type `R →* (R →o R)` when `R` is a `StarOrderedRing`, and likewise also `Rˣ →* (R ≃o R)`.
---
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|
t-algebra
t-order
large-import
maintainer-merge
label:t-algebra$ |
45/0 |
Mathlib/Algebra/Order/Group/End.lean,Mathlib/Data/FunLike/IsApply.lean |
2 |
23 |
['eric-wieser', 'github-actions', 'j-loreaux', 'themathqueen'] |
nobody |
1 |
1-63400 1 day ago |
5-41899 5 days ago |
5-85800 5 days |
| 40491 |
zw810-ctrl author:zw810-ctrl |
feat(Algebra): range_prodMap for MonoidHom, RingHom, AlgHom |
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|
t-algebra
new-contributor
maintainer-merge
label:t-algebra$ |
34/1 |
Mathlib/Algebra/Algebra/Subalgebra/Prod.lean,Mathlib/Algebra/Group/Subgroup/Basic.lean,Mathlib/Algebra/Group/Submonoid/Operations.lean,Mathlib/Algebra/Ring/Subring/Basic.lean,Mathlib/Algebra/Ring/Subsemiring/Basic.lean,Mathlib/RingTheory/Ideal/Prod.lean |
6 |
19 |
['eric-wieser', 'github-actions', 'themathqueen', 'zw810-ctrl'] |
nobody |
1 |
1-62554 1 day ago |
1-65030 1 day ago |
6-30364 6 days |
| 38529 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/Girth): `egirth ⊤ = 3` when there are at least 3 vertices |
Since `Nontrivial` is not enough, we use the condition `3 ≤ ENat.card α`.
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|
t-combinatorics
maintainer-merge
|
17/0 |
Mathlib/Combinatorics/SimpleGraph/Girth.lean |
1 |
7 |
['SnirBroshi', 'YaelDillies', 'github-actions', 'mathlib-merge-conflicts', 'vlad902'] |
nobody |
1 |
1-10498 1 day ago |
11-39558 11 days ago |
51-70295 51 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 |
5 |
['SnirBroshi', 'github-actions', 'themathqueen', 'wwylele'] |
nobody |
1 |
0-63536 17 hours ago |
12-83624 12 days ago |
12-84414 12 days |
| 40722 |
grunweg author:grunweg |
fix: correct deprecation for orthogonalProjection_mem_subspace_orthog… |
…onalComplement_eq_zero
#38970 tried to create one, but made a slip (and created a deprecated alias for a declaration that never existed). Correct this oversight. Noticed during leanprover-community/sphere-eversion#143.
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maintainer-merge
t-analysis
|
2/1 |
Mathlib/Analysis/InnerProductSpace/Projection/Basic.lean |
1 |
2 |
['github-actions', 'themathqueen'] |
nobody |
1 |
0-62391 17 hours ago |
0-63539 17 hours ago |
0-62979 17 hours |
| 38702 |
jcommelin author:jcommelin |
chore(Data/Real): encapsulate real numbers |
This PR:
* hides the definition of the real numbers
* preserves defeqs when casting `Nat`, `Int`, `Rat`, into the reals
* preserves the defeq `x - y = x + (-y)` for `x y : Real`
* removes a bunch of technical debt
* adjusts imports in the library, where files relied on getting access to Cauchy sequences transitively via importing the reals.
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merge-conflict
awaiting-author
|
235/256 |
Archive/Imo/Imo2013Q5.lean,Counterexamples/SeminormLatticeNotDistrib.lean,Mathlib.lean,Mathlib/Analysis/Complex/Norm.lean,Mathlib/Analysis/RCLike/Basic.lean,Mathlib/Analysis/Real/Cardinality.lean,Mathlib/Combinatorics/SimpleGraph/Triangle/Counting.lean,Mathlib/Data/Complex/Basic.lean,Mathlib/Data/ENNReal/Basic.lean,Mathlib/Data/NNReal/Defs.lean,Mathlib/Data/Real/Archimedean.lean,Mathlib/Data/Real/Basic.lean,Mathlib/Data/Real/Cauchy.lean,Mathlib/Data/Real/Sign.lean,Mathlib/NumberTheory/Padics/PadicIntegers.lean,Mathlib/NumberTheory/Padics/PadicNumbers.lean,Mathlib/NumberTheory/SelbergSieve.lean,Mathlib/Topology/Algebra/Ring/Real.lean,Mathlib/Topology/Instances/Real/Lemmas.lean,Mathlib/Topology/MetricSpace/CauSeqFilter.lean,Mathlib/Topology/UniformSpace/CompareReals.lean,Mathlib/Topology/UniformSpace/Real.lean,MathlibTest/Complex.lean,MathlibTest/Quaternion.lean,MathlibTest/Real.lean,MathlibTest/peel.lean |
26 |
37 |
['JovanGerb', 'Kha', 'YaelDillies', 'eric-wieser', 'fpvandoorn', 'github-actions', 'jcommelin', 'leanprover-radar', 'mathlib-bors', 'mathlib-merge-conflicts', 'riccardobrasca', 'sgouezel', 'wkrozowski'] |
nobody |
1 |
0-61792 17 hours ago |
49-80449 49 days ago |
0-2637 43 minutes |
| 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 |
32 |
['chrisflav', 'erdOne', 'github-actions', 'joelriou', 'justus-springer', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
chrisflav and joelriou assignee:joelriou assignee:chrisflav |
1 |
0-59834 16 hours ago |
0-59891 16 hours ago |
34-39908 34 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
awaiting-author
blocked-by-other-PR
|
32/3 |
Mathlib/GroupTheory/FinitelyPresentedGroup.lean,Mathlib/GroupTheory/FreeGroup/Basic.lean |
2 |
36 |
['github-actions', 'javgomzar', 'kbuzzard', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'plp127', 'tb65536', 'vihdzp'] |
riccardobrasca assignee:riccardobrasca |
1 |
0-57236 15 hours ago |
3-11821 3 days ago |
55-43894 55 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 |
68 |
['YaelDillies', 'artie2000', 'github-actions', 'martinwintermath', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'vihdzp'] |
nobody |
1 |
0-52521 14 hours ago |
23-51117 23 days ago |
40-51222 40 days |
| 40637 |
grunweg author:grunweg |
feat: add Homeomorph.pointReflection |
This is `Equiv.pointReflection` as a homeomorphism.
The motivating use case is for a homeomorphism on the real line in #29077.
While at it, also upgrade `AffineEquiv.pointReflection` to a `ContinuousAffineEquiv`.
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t-topology
delegated
|
46/1 |
Mathlib/LinearAlgebra/AffineSpace/AffineEquiv.lean,Mathlib/Topology/Algebra/ContinuousAffineEquiv.lean,Mathlib/Topology/Algebra/Group/Torsor.lean |
3 |
23 |
['ADedecker', 'edegeltje', 'github-actions', 'grunweg', 'mathlib-bors', 'peabrainiac'] |
nobody |
1 |
0-47331 13 hours ago |
0-75334 20 hours ago |
0-73992 20 hours |
| 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
maintainer-merge
|
302/7 |
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/MorphismProperty/CommaSites.lean,Mathlib/CategoryTheory/ObjectProperty/Small.lean |
12 |
18 |
['dagurtomas', 'github-actions', 'joelriou', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
1 |
0-39105 10 hours ago |
0-84905 23 hours ago |
25-17555 25 days |
| 36686 |
euprunin author:euprunin |
chore: golf using `grind` |
The goal of this PR is to decrease the number of times lemmas are called explicitly. Any decrease in compilation time is a welcome side effect, although it is not a primary objective.
Trace profiling results (differences <30 ms considered measurement noise):
* `List.prod_map_ite`: unchanged 🎉
* `Path.Homotopy.trans_assoc_reparam`: 2938 ms before, 717 ms after 🎉
* `SimplexCategory.δ_comp_δ`: 522 ms before, 316 ms after 🎉
* `Finsupp.ext_iff'`: unchanged 🎉
* `Computation.bind_assoc`: unchanged 🎉
* `Set.piecewise_insert`: unchanged 🎉
* `ZMod.valMinAbs_mem_Ioc`: unchanged 🎉
* `Matrix.det_eq_of_forall_row_eq_smul_add_pred_aux`: 2141 ms before, 2004 ms after 🎉
Profiled using `set_option trace.profiler true in`.
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|
awaiting-author |
11/50 |
Mathlib/Algebra/BigOperators/Group/List/Basic.lean,Mathlib/AlgebraicTopology/FundamentalGroupoid/Basic.lean,Mathlib/AlgebraicTopology/SimplexCategory/Basic.lean,Mathlib/Data/Finsupp/Defs.lean,Mathlib/Data/Seq/Computation.lean,Mathlib/Data/Set/Piecewise.lean,Mathlib/Data/ZMod/ValMinAbs.lean,Mathlib/LinearAlgebra/Matrix/Determinant/Basic.lean |
8 |
14 |
['artie2000', 'chenson2018', 'dagurtomas', 'euprunin', 'github-actions', 'mathlib-merge-conflicts', 'ooovi'] |
nobody |
2 |
0-38944 10 hours ago |
43-51917 43 days ago |
49-23305 49 days |
| 36202 |
vihdzp author:vihdzp |
feat: more theorems on the Cantor normal form |
We also remove some redundant assumptions.
Used in the CGT repo.
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|
t-set-theory |
68/17 |
Mathlib/SetTheory/Ordinal/CantorNormalForm.lean |
1 |
21 |
['SnirBroshi', 'YaelDillies', 'github-actions', 'mathlib-merge-conflicts', 'vihdzp'] |
jjdishere assignee:jjdishere |
1 |
0-32152 8 hours ago |
85-3983 85 days ago |
103-81784 103 days |
| 39110 |
SnirBroshi author:SnirBroshi |
chore(Data/Set): reduce defeq abuse of `Set α = α → Prop` |
These are among the first places that would fail if `Set α` wasn't defeq to `α → Prop`.
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|
t-data |
35/20 |
Mathlib/Data/Set/Basic.lean,Mathlib/Data/Set/Defs.lean,Mathlib/Data/Set/Insert.lean,Mathlib/Data/Set/Prod.lean,Mathlib/Order/BooleanAlgebra/Set.lean |
5 |
25 |
['SnirBroshi', 'Vierkantor', 'github-actions', 'leanprover-radar', 'mathlib-bors', 'themathqueen', 'urkud', 'vihdzp'] |
TwoFX assignee:TwoFX |
1 |
0-32146 8 hours ago |
33-2846 33 days ago |
39-3686 39 days |
| 40486 |
adomani author:adomani |
chore(CI): keep the previous Lean declarations diff visible while a new build runs |
Keep the previous Lean declarations diff visible (relabelled *stale*) while a new build runs, instead of resetting the PR-summary comment to *pending* on every push.
Companion: leanprover-community/mathlib-ci#56 · details in the **Reference** / **Explanation** / **How-to** comments below.
|
CI
LLM-generated
delegated
|
21/6 |
.github/workflows/PR_summary.yml,.github/workflows/decls-diff.yml |
2 |
14 |
['SnirBroshi', 'adomani', 'bryangingechen', 'github-actions', 'mathlib-bors'] |
nobody |
1 |
0-30822 8 hours ago |
7-31228 7 days ago |
0-19505 5 hours |
| 37598 |
IvanRenison author:IvanRenison |
feat(Combinatorics/SimpleGraph/Coloring): add lemmas about coloring and maps |
---
Idea from this Zulip thread: [graph theory>Second Order Monadic Logic for Graph](https://leanprover.zulipchat.com/#narrow/channel/252551-graph-theory/topic/Second.20Order.20Monadic.20Logic.20for.20Graph/with/583013775)
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|
t-combinatorics
maintainer-merge
merge-conflict
|
32/11 |
Mathlib/Combinatorics/SimpleGraph/Coloring/Vertex.lean,Mathlib/Combinatorics/SimpleGraph/Maps.lean |
2 |
35 |
['IvanRenison', 'SnirBroshi', 'YaelDillies', 'b-mehta', 'github-actions', 'mathlib-bors', 'mathlib-merge-conflicts', 'vlad902'] |
nobody |
1 |
0-12979 3 hours ago |
5-12110 5 days ago |
63-70840 63 days |
| 40300 |
xroblot author:xroblot |
feat(FieldTheory/IntermediateField): add eq_iff_finrank_eq_of_le(') |
Adds the iff-strengthenings of `IntermediateField.eq_of_le_of_finrank_eq` and `eq_of_le_of_finrank_eq'`:
- `eq_iff_finrank_eq_of_le`: for `F ≤ E` with `[E : K]` finite, `F = E ↔ finrank K F = finrank K E`.
- `eq_iff_finrank_eq_of_le'`: 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
delegated
label:t-algebra$ |
12/0 |
Mathlib/FieldTheory/IntermediateField/Algebraic.lean |
1 |
5 |
['Vierkantor', 'github-actions', 'mathlib-bors', 'xroblot'] |
nobody |
1 |
0-12081 3 hours ago |
0-62478 17 hours ago |
11-4021 11 days |
| 35255 |
vlad902 author:vlad902 |
feat(SimpleGraph): `cycleGraph` is contained in every graph with a cycle |
---
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|
t-combinatorics
maintainer-merge
|
34/0 |
Mathlib/Combinatorics/SimpleGraph/Circulant.lean |
1 |
4 |
['YaelDillies', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
1 |
0-11152 3 hours ago |
50-49444 50 days ago |
50-49831 50 days |
| 38589 |
vlad902 author:vlad902 |
feat(SimpleGraph): add universal vertex predicate |
Add the predicate `G.IsUniversal v` to indicate that `v` is a universal vertex, i.e. connected to all other vertices in `G`. This matches the recently added `G.IsIsolated v` predicate for isolated vertices.
Co-authored-by: Justin Lai <justsoft.jsoft@gmail.com>
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t-combinatorics
awaiting-author
|
98/18 |
Mathlib/Combinatorics/SimpleGraph/Basic.lean,Mathlib/Combinatorics/SimpleGraph/Connectivity/Connected.lean,Mathlib/Combinatorics/SimpleGraph/Finite.lean,Mathlib/Combinatorics/SimpleGraph/Star.lean,Mathlib/Combinatorics/SimpleGraph/Tutte.lean,Mathlib/Combinatorics/SimpleGraph/UniversalVerts.lean |
6 |
36 |
['8e7', 'Rida-Hamadani', 'SnirBroshi', 'YaelDillies', 'github-actions', 'mathlib-merge-conflicts', 'vlad902'] |
YaelDillies assignee:YaelDillies |
1 |
0-9080 2 hours ago |
0-9080 2 hours ago |
50-10956 50 days |
| 40126 |
tb65536 author:tb65536 |
feat(NumberTheory/RamificationInertia/Galois): ramification inertia refactor |
This is a first pass at refactoring `NumberTheory/RamificationInertia/Galois` to use the new definitions `ramificationIdx'` and `inertiaDeg'`. I tried to keep changes to downstream files minimal to keep this PR on the smaller side. More will be done in future PRs.
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|
t-algebra
t-ring-theory
t-number-theory
large-import
label:t-algebra$ |
148/158 |
Mathlib/NumberTheory/NumberField/ClassNumber.lean,Mathlib/NumberTheory/NumberField/Cyclotomic/Galois.lean,Mathlib/NumberTheory/NumberField/Cyclotomic/Ideal.lean,Mathlib/NumberTheory/NumberField/ExistsRamified.lean,Mathlib/NumberTheory/RamificationInertia/Galois.lean,Mathlib/NumberTheory/RamificationInertia/HilbertTheory.lean,Mathlib/RingTheory/Ideal/GoingUp.lean,Mathlib/RingTheory/Ideal/Norm/RelNorm.lean |
8 |
7 |
['github-actions', 'mathlib-dependent-issues', 'tb65536', 'xroblot'] |
riccardobrasca assignee:riccardobrasca |
1 |
0-9045 2 hours ago |
2-69376 2 days ago |
2-68817 2 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
|
55/2 |
Mathlib/AlgebraicGeometry/EllipticCurve/Affine/AddSubMap.lean |
1 |
11 |
['MichaelStollBayreuth', 'Multramate', 'github-actions'] |
dagurtomas assignee:dagurtomas |
1 |
0-8974 2 hours ago |
4-62347 4 days ago |
4-61787 4 days |
| 40697 |
eric-wieser author:eric-wieser |
feat: more lemmas about `{Setoid,Con,AddCon,RingCon}.comap` |
---
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[](https://gitpod.io/from-referrer/)
|
t-ring-theory
maintainer-merge
|
145/43 |
Mathlib/Data/Setoid/Basic.lean,Mathlib/GroupTheory/Congruence/Basic.lean,Mathlib/GroupTheory/Congruence/Defs.lean,Mathlib/RingTheory/Congruence/Basic.lean,Mathlib/RingTheory/Congruence/Defs.lean |
5 |
15 |
['YaelDillies', 'eric-wieser', 'github-actions'] |
nobody |
1 |
0-8600 2 hours ago |
0-64462 17 hours ago |
0-6162 1 hour |
| 35812 |
khwilson author:khwilson |
feat(MeasureTheory/Group/GeometryOfNumbers): successive minima and existence of a directional basis |
Define the successive minima of a discrete subgroup of a real vector space with respect to a convex set. These invariants show up throughout the geometry of numbers and are the focus of Minkowski's Second Theorem (whose statement is left here with a `proof_wanted`).
Note: The key lemma is that the "gauge set" of the convex set is closed. I took the approach of showing that it is sequentially closed. There's an alternative approach via showing it's the union of a finite number of closed sets. I personally thought this approach was more intuitive, but the union approach may result in a slightly shorter proof.
Co-authored-by: Yaël Dillies <yael.dillies@gmail.com>
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|
new-contributor
t-measure-probability
awaiting-author
|
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 |
93 |
['Vierkantor', 'YaelDillies', 'github-actions', 'joneugster', 'khwilson', 'mathlib-merge-conflicts', 'ocfnash', 'sgouezel'] |
sgouezel assignee:sgouezel |
1 |
0-5144 1 hour ago |
0-5144 1 hour ago |
53-74724 53 days |
| 40634 |
grunweg author:grunweg |
feat: PiLp.equivOfUnique |
Add the isomorphism between `PiLp` over any `Unique` index type and the corresponding individual type.
Generalise `PiLp.linearEquiv` to topological vector spaces, then this is straightforward.
This will be used in #29077, to yield an equivalence `EuclideanSpace 𝕜 (Fin 1) ≃L[𝕜] 𝕜`.
---
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|
t-analysis
maintainer-merge
|
14/2 |
Mathlib/Analysis/Normed/Lp/PiLp.lean |
1 |
45 |
['eric-wieser', 'github-actions', 'grunweg', 'themathqueen', 'wwylele'] |
nobody |
1 |
0-2513 41 minutes ago |
0-47399 13 hours ago |
1-69897 1 day |
| 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
maintainer-merge
|
94/1 |
Mathlib.lean,Mathlib/Data/Set/Monotone.lean,Mathlib/Logic/Small/Basic.lean,Mathlib/SetTheory/Cardinal/EventuallyConst.lean |
4 |
11 |
['YaelDillies', 'github-actions', 'mathlib-dependent-issues', 'vihdzp', 'wwylele'] |
nobody |
1 |
0-2511 41 minutes ago |
0-5336 1 hour ago |
31-26726 31 days |
| 26464 |
joelriou author:joelriou |
feat(LinearAlgebra): generators of pi tensor products |
In this PR, we show that the `R`-module `⨂[R] i, M i` is finitely generated if the index type is finite and all `M i` are finitely generated. This follows from a more precise result about generators of `⨂[R] i, M i`.
---
This PR continues the work from #18725.
Original PR: https://github.com/leanprover-community/mathlib4/pull/18725 |
file-removed
t-algebra
ready-to-merge
label:t-algebra$ |
251/7 |
Mathlib.lean,Mathlib/Analysis/Normed/Module/PiTensorProduct/ProjectiveSeminorm.lean,Mathlib/Data/Set/Card.lean,Mathlib/Data/SubtypeNeLift.lean,Mathlib/LinearAlgebra/PiTensorProduct/Basic.lean,Mathlib/LinearAlgebra/PiTensorProduct/DFinsupp.lean,Mathlib/LinearAlgebra/PiTensorProduct/DirectSum.lean,Mathlib/LinearAlgebra/PiTensorProduct/Finite.lean,Mathlib/LinearAlgebra/PiTensorProduct/Generators.lean,Mathlib/LinearAlgebra/TensorPower/Basic.lean,Mathlib/LinearAlgebra/TensorPower/Symmetric.lean,Mathlib/Logic/Equiv/Option.lean,Mathlib/RingTheory/PiTensorProduct.lean |
13 |
45 |
['Vierkantor', 'eric-wieser', 'github-actions', 'joelriou', 'leanprover-community-bot-assistant', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot', 'riccardobrasca'] |
mattrobball assignee:mattrobball |
1 |
0-1375 22 minutes ago |
0-1377 13 minutes ago |
117-60278 117 days |
| Number |
Author |
Title |
Description |
Labels |
+/- |
Modified files (first 100) |
📝 |
💬 |
All users who commented or reviewed |
Assignee(s) |
Updated |
Last status change |
total time in review |
| 14720 |
eric-wieser author:eric-wieser |
refactor: change `CliffordAlgebra.lift` to use quadratic maps |
This works towards addressing a footnote on [page 152](https://eric-wieser.github.io/thesis/eric-wieser-thesis.pdf#page=164) of my thesis.
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
WIP
t-algebra
label:t-algebra$ |
200/167 |
Mathlib/LinearAlgebra/CliffordAlgebra/Basic.lean,Mathlib/LinearAlgebra/CliffordAlgebra/Equivs.lean,Mathlib/LinearAlgebra/CliffordAlgebra/Prod.lean,Mathlib/LinearAlgebra/QuadraticForm/Complex.lean,Mathlib/LinearAlgebra/QuadraticForm/Dual.lean,Mathlib/LinearAlgebra/QuadraticForm/Isometry.lean,Mathlib/LinearAlgebra/QuadraticForm/IsometryEquiv.lean,Mathlib/LinearAlgebra/QuadraticForm/Prod.lean,Mathlib/LinearAlgebra/QuadraticForm/QuadraticModuleCat.lean,Mathlib/LinearAlgebra/QuadraticForm/Real.lean,Mathlib/LinearAlgebra/QuadraticForm/TensorProduct/Isometries.lean |
11 |
1 |
['github-actions'] |
nobody |
687-8183 1 year ago |
unknown |
0-0 0 seconds |
| 14889 |
yuma-mizuno author:yuma-mizuno |
feat(CategoryTheory/Bicategory/Monad): define monad in bicategory |
---
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- [ ] depends on: #12107
[](https://gitpod.io/from-referrer/)
|
merge-conflict
WIP
blocked-by-other-PR
t-category-theory
|
1566/12 |
Mathlib.lean,Mathlib/CategoryTheory/Bicategory/Functor/Oplax.lean,Mathlib/CategoryTheory/Bicategory/LocallyDiscrete.lean,Mathlib/CategoryTheory/Bicategory/Monad/Adjunction.lean,Mathlib/CategoryTheory/Bicategory/Monad/Basic.lean,Mathlib/CategoryTheory/Bicategory/Monad/Cat.lean,Mathlib/CategoryTheory/Monad/Basic.lean,Mathlib/Tactic.lean,Mathlib/Tactic/CategoryTheory/Coherence.lean,Mathlib/Tactic/Widget/StringDiagram.lean,scripts/noshake.json,test/StringDiagram.lean,widget/src/penrose/monoidal.dsl,widget/src/penrose/monoidal.sty |
14 |
2 |
['github-actions', 'leanprover-community-mathlib4-bot'] |
nobody |
687-8183 1 year ago |
unknown |
0-0 0 seconds |
| 13847 |
alreadydone author:alreadydone |
feat(EllipticCurve): the universal elliptic curve |
+ Define the universal Weierstrass curve (`Universal.curve`) over the polynomial ring `ℤ[A₁,A₂,A₃,A₄,A₆]`, and the universal pointed elliptic curve (`Universal.pointedCurve`) over the field of fractions (`Universal.Field`) of the universal ring `ℤ[A₁,A₂,A₃,A₄,A₆,X,Y]/⟨P⟩ = Universal.Poly/⟨P⟩` (`Universal.Ring`, where `P` is the Weierstrass polynomial) with distinguished point `(X,Y)`.
+ Given a Weierstrass curve `W` over a commutative ring `R`, we define the specialization homomorphism `W.specialize : ℤ[A₁,A₂,A₃,A₄,A₆] →+* R`. If `(x,y)` is a point on the affine plane, we define `W.polyEval x y : Universal.Poly →+* R`, which factors through `W.ringEval x y : Universal.Ring →+* R` if `(x,y)` is on `W`.
+ Introduce the cusp curve `Y² = X³`, on which lies the rational point `(1,1)`, with the nice property that `ψₙ(1,1) = n`, making it easy to prove nonvanishing of the universal `ψₙ` when `n ≠ 0` by specializing to the cusp curve, which shows that `(X,Y)` is a point of infinite order on the universal pointed elliptic curve.
---
- [x] depends on: #13845
- [x] depends on: #12883
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merge-conflict
awaiting-author
t-algebra
t-algebraic-geometry
label:t-algebra$ |
543/208 |
Mathlib.lean,Mathlib/Algebra/Polynomial/Bivariate.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Affine.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Group.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Jacobian.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Universal.lean |
6 |
4 |
['Multramate', 'alreadydone', 'github-actions', 'leanprover-community-mathlib4-bot'] |
nobody |
687-8182 1 year ago |
unknown |
0-0 0 seconds |
| 14036 |
adomani author:adomani |
Test/decl diff in lean |
---
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|
merge-conflict |
465/1040 |
.github/workflows/Lean_decl_diff.yml,.github/workflows/bors.yml,.github/workflows/build.yml,.github/workflows/build.yml.in,.github/workflows/build_fork.yml,.github/workflows/mk_build_yml.sh,scripts/decls_diff_hybrid.sh,scripts/list_decls.lean |
8 |
1 |
['github-actions'] |
nobody |
687-8182 1 year ago |
unknown |
0-0 0 seconds |
| 12952 |
adomani author:adomani |
test: length statistics |
---
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|
WIP
test-ci
|
124/0 |
.github/workflows/mathlib_stats.yml,.github/workflows/ml_stats_label.yaml,scripts/mathlib_stats.sh |
3 |
9 |
['github-actions'] |
nobody |
687-8181 1 year ago |
unknown |
0-0 0 seconds |
| 13297 |
urkud author:urkud |
feat(Semicontinuous): add `comp` lemma |
---
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merge-conflict
awaiting-author
t-topology
t-order
|
31/13 |
Mathlib/Topology/Semicontinuous.lean |
1 |
3 |
['sgouezel', 'urkud'] |
nobody |
687-8181 1 year ago |
751-8879 751 days ago |
0-18201 5 hours |
| 13372 |
adomani author:adomani |
dev: generic replacement |
---
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|
merge-conflict |
446/0 |
Mathlib.lean,Mathlib/Tactic.lean,Mathlib/Tactic/Linter/ReplaceRefine.lean,Mathlib/Tactic/Replacements.lean |
4 |
4 |
['adomani', 'github-actions'] |
nobody |
687-8181 1 year ago |
unknown |
0-0 0 seconds |
| 13512 |
adomani author:adomani |
test: count all |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict |
85/0 |
Mathlib.lean,Mathlib/Tactic.lean,Mathlib/Tactic/Linter.lean,Mathlib/Tactic/Linter/Tally.lean |
4 |
0 |
[] |
nobody |
687-8181 1 year ago |
unknown |
0-0 0 seconds |
| 12416 |
adomani author:adomani |
chore: remove some cdots |
---
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|
merge-conflict |
3830/3239 |
Archive/Imo/Imo1972Q5.lean,Archive/Imo/Imo2006Q5.lean,Archive/Imo/Imo2008Q2.lean,Archive/Imo/Imo2021Q1.lean,Archive/Wiedijk100Theorems/AbelRuffini.lean,Archive/Wiedijk100Theorems/BallotProblem.lean,Archive/Wiedijk100Theorems/BirthdayProblem.lean,Archive/Wiedijk100Theorems/BuffonsNeedle.lean,Archive/Wiedijk100Theorems/CubingACube.lean,Archive/Wiedijk100Theorems/FriendshipGraphs.lean,Archive/Wiedijk100Theorems/Partition.lean,Counterexamples/Cyclotomic105.lean,Counterexamples/DirectSumIsInternal.lean,Mathlib.lean,Mathlib/Algebra/Algebra/Spectrum.lean,Mathlib/Algebra/BigOperators/Finprod.lean,Mathlib/Algebra/BigOperators/List/Basic.lean,Mathlib/Algebra/Category/GroupCat/Colimits.lean,Mathlib/Algebra/Category/ModuleCat/Images.lean,Mathlib/Algebra/Category/Ring/Constructions.lean,Mathlib/Algebra/CharP/Quotient.lean,Mathlib/Algebra/ContinuedFractions/Computation/Approximations.lean,Mathlib/Algebra/DirectLimit.lean,Mathlib/Algebra/DirectSum/Internal.lean,Mathlib/Algebra/GCDMonoid/Finset.lean,Mathlib/Algebra/GeomSum.lean,Mathlib/Algebra/Group/UniqueProds.lean,Mathlib/Algebra/GroupPower/Order.lean,Mathlib/Algebra/GroupWithZero/WithZero.lean,Mathlib/Algebra/Homology/Exact.lean,Mathlib/Algebra/Homology/HomotopyCategory/HomComplex.lean,Mathlib/Algebra/Homology/HomotopyCategory/Triangulated.lean,Mathlib/Algebra/Homology/LocalCohomology.lean,Mathlib/Algebra/Homology/TotalComplex.lean,Mathlib/Algebra/Lie/DirectSum.lean,Mathlib/Algebra/Lie/IdealOperations.lean,Mathlib/Algebra/Lie/Nilpotent.lean,Mathlib/Algebra/Lie/Weights/Basic.lean,Mathlib/Algebra/Module/DedekindDomain.lean,Mathlib/Algebra/Module/LinearMap/End.lean,Mathlib/Algebra/Module/LocalizedModule.lean,Mathlib/Algebra/Module/PID.lean,Mathlib/Algebra/Module/Submodule/Bilinear.lean,Mathlib/Algebra/Module/Torsion.lean,Mathlib/Algebra/Module/Zlattice/Basic.lean,Mathlib/Algebra/MonoidAlgebra/Basic.lean,Mathlib/Algebra/MonoidAlgebra/Degree.lean,Mathlib/Algebra/MonoidAlgebra/Ideal.lean,Mathlib/Algebra/MvPolynomial/Variables.lean,Mathlib/Algebra/Order/Archimedean.lean,Mathlib/Algebra/Order/BigOperators/Group/List.lean,Mathlib/Algebra/Order/CauSeq/BigOperators.lean,Mathlib/Algebra/Order/CompleteField.lean,Mathlib/Algebra/Order/Field/Basic.lean,Mathlib/Algebra/Order/Group/Abs.lean,Mathlib/Algebra/Order/Group/Int.lean,Mathlib/Algebra/Order/Group/MinMax.lean,Mathlib/Algebra/Order/Interval/Basic.lean,Mathlib/Algebra/Order/Pointwise.lean,Mathlib/Algebra/Order/Sub/Defs.lean,Mathlib/Algebra/Polynomial/BigOperators.lean,Mathlib/Algebra/Polynomial/Degree/Definitions.lean,Mathlib/Algebra/Polynomial/Derivative.lean,Mathlib/Algebra/Polynomial/Div.lean,Mathlib/Algebra/Polynomial/FieldDivision.lean,Mathlib/Algebra/Polynomial/Module/Basic.lean,Mathlib/Algebra/Polynomial/PartialFractions.lean,Mathlib/Algebra/Polynomial/Reverse.lean,Mathlib/Algebra/Polynomial/RingDivision.lean,Mathlib/Algebra/Polynomial/UnitTrinomial.lean,Mathlib/Algebra/Quandle.lean,Mathlib/Algebra/Quaternion.lean,Mathlib/AlgebraicGeometry/AffineScheme.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Affine.lean,Mathlib/AlgebraicGeometry/FunctionField.lean,Mathlib/AlgebraicGeometry/Gluing.lean,Mathlib/AlgebraicGeometry/Morphisms/Basic.lean,Mathlib/AlgebraicGeometry/Morphisms/QuasiCompact.lean,Mathlib/AlgebraicGeometry/Morphisms/QuasiSeparated.lean,Mathlib/AlgebraicGeometry/Morphisms/RingHomProperties.lean,Mathlib/AlgebraicGeometry/OpenImmersion.lean,Mathlib/AlgebraicGeometry/ProjectiveSpectrum/Scheme.lean,Mathlib/AlgebraicGeometry/Properties.lean,Mathlib/AlgebraicGeometry/Pullbacks.lean,Mathlib/AlgebraicGeometry/StructureSheaf.lean,Mathlib/AlgebraicTopology/SimplexCategory.lean,Mathlib/AlgebraicTopology/SplitSimplicialObject.lean,Mathlib/Analysis/Analytic/Composition.lean,Mathlib/Analysis/Analytic/IsolatedZeros.lean,Mathlib/Analysis/BoundedVariation.lean,Mathlib/Analysis/BoxIntegral/Box/Basic.lean,Mathlib/Analysis/BoxIntegral/Partition/Basic.lean,Mathlib/Analysis/Calculus/ContDiff/Basic.lean,Mathlib/Analysis/Calculus/Deriv/Slope.lean,Mathlib/Analysis/Calculus/FDeriv/Basic.lean,Mathlib/Analysis/Calculus/FDeriv/Extend.lean,Mathlib/Analysis/Calculus/InverseFunctionTheorem/ApproximatesLinearOn.lean,Mathlib/Analysis/Calculus/LocalExtr/Basic.lean,Mathlib/Analysis/Calculus/ParametricIntegral.lean,Mathlib/Analysis/Calculus/TangentCone.lean |
608 |
0 |
[] |
nobody |
687-8180 1 year ago |
unknown |
0-0 0 seconds |
| 12465 |
rosborn author:rosborn |
style: Change Subtype.val to (↑) |
---
This is a test to see replacing `Subtype.val` with `(↑)` where appropriate.
After performing the rewrite, some of the types subtly changed in a difficult to detect manner.
Before the change, `openEmbedding' _` had type `OpenEmbedding Subtype.val` where `Subtype.val` expanded as `@Subtype.val α fun x ↦ x ∈ U : ↥U → α`. After the change, `Subtype.val` expands to `@Subtype.val α fun x ↦ x ∈ ↑U : { x // x ∈ ↑U } → α`. This caused some later proofs to fail due to the different definition.
In a similar case, within the proof of `mfderiv_coe_sphere_injective` on line 553 `Subtype.val` expanded as `@Subtype.val E fun x ↦ x ∈ (Submodule.span ℝ {↑(-v)})ᗮ : ↥(Submodule.span ℝ {↑(-v)})ᗮ → E`.
After changing to `(↑)`, it expanded to `@Subtype.val E fun x ↦ x ∈ ↑(Submodule.span ℝ {↑(-v)})ᗮ : { x // x ∈ ↑(Submodule.span ℝ {↑(-v)})ᗮ } → E`. One benefit to using `(↑)` was that it lead to a shorter proof as `ContinuousLinearEquiv.coe_coe` could be removed on line 559.
In general, this subtle change in types is basically impossible to detect without a tool like leaff.
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|
merge-conflict |
50/50 |
Mathlib/Analysis/InnerProductSpace/Basic.lean,Mathlib/Analysis/Normed/Group/Hom.lean,Mathlib/CategoryTheory/Generator.lean,Mathlib/CategoryTheory/Limits/Shapes/Types.lean,Mathlib/CategoryTheory/Subobject/Types.lean,Mathlib/Data/Fin/Basic.lean,Mathlib/Data/Set/Function.lean,Mathlib/Data/Set/Image.lean,Mathlib/Data/Setoid/Basic.lean,Mathlib/Geometry/Manifold/ContMDiff/Basic.lean,Mathlib/Geometry/Manifold/Instances/Sphere.lean,Mathlib/Geometry/Manifold/LocalInvariantProperties.lean,Mathlib/GroupTheory/Subsemigroup/Operations.lean,Mathlib/LinearAlgebra/LinearIndependent.lean,Mathlib/Order/Directed.lean,Mathlib/Order/RelIso/Basic.lean,Mathlib/Order/RelIso/Set.lean,Mathlib/RingTheory/Artinian.lean,Mathlib/SetTheory/Cardinal/Cofinality.lean,Mathlib/SetTheory/Game/Basic.lean,Mathlib/SetTheory/Game/PGame.lean,Mathlib/SetTheory/Surreal/Basic.lean,Mathlib/Topology/Bornology/Constructions.lean,Mathlib/Topology/EMetricSpace/Lipschitz.lean,Mathlib/Topology/Germ.lean,Mathlib/Topology/UniformSpace/Basic.lean,Mathlib/Topology/UniformSpace/UniformConvergenceTopology.lean,Mathlib/Topology/UniformSpace/UniformEmbedding.lean |
28 |
1 |
['eric-wieser', 'rosborn'] |
nobody |
687-8180 1 year ago |
unknown |
0-0 0 seconds |
| 12473 |
adomani author:adomani |
first translations |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict |
424/265 |
Mathlib.lean,Mathlib/Order/Lattice.lean,Mathlib/Order/WithBot.lean,Mathlib/Tactic.lean,Mathlib/Tactic/MinMax.lean |
5 |
0 |
[] |
nobody |
687-8180 1 year ago |
unknown |
0-0 0 seconds |
| 12528 |
adomani author:adomani |
test: autotranslations Bot --> Top |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict |
350/294 |
Mathlib.lean,Mathlib/Order/WithBot.lean,Mathlib/Tactic.lean,Mathlib/Tactic/MinMax.lean,test/MinMax.lean |
5 |
0 |
[] |
nobody |
687-8180 1 year ago |
779-43618 779 days ago |
0-4 4 seconds |
| 12588 |
adomani author:adomani |
remove trailingDegree |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict |
1280/979 |
Mathlib.lean,Mathlib/Algebra/MonoidAlgebra/Basic.lean,Mathlib/Algebra/Polynomial/Degree/Definitions.lean,Mathlib/Algebra/Polynomial/Degree/TrailingDegree.lean,Mathlib/Algebra/Polynomial/Div.lean,Mathlib/Algebra/Polynomial/Mirror.lean,Mathlib/Order/WithBot.lean,Mathlib/Tactic.lean,Mathlib/Tactic/MinMax.lean,Mathlib/Tactic/MinMaxTwo.lean,test/MinMax.lean |
11 |
0 |
[] |
nobody |
687-8180 1 year ago |
unknown |
0-0 0 seconds |
| 12608 |
eric-wieser author:eric-wieser |
feat: allow `nsmul` / `zsmul` to be omitted again, with a warning |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-algebra
t-meta
label:t-algebra$ |
118/2 |
Mathlib.lean,Mathlib/Algebra/Group/Defs.lean,Mathlib/Tactic.lean,Mathlib/Tactic/DefaultFieldLinter.lean,scripts/noshake.json,test/default_field_linter.lean |
6 |
12 |
['YaelDillies', 'eric-wieser', 'fpvandoorn', 'github-actions'] |
nobody |
687-8180 1 year ago |
776-40599 776 days ago |
0-84 1 minute |
| 12637 |
adomani author:adomani |
translation: MonoidAlgebra to AddMonoidAlgebra |
[Zulip discussion](https://leanprover.zulipchat.com/#narrow/stream/287929-mathlib4/topic/merge.20Add-MonoidAlgebra)
* #12646 was found as a consequence of unification.
* #12659 the typo `single 1 1` for `single 0 1`.
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebra
t-meta
label:t-algebra$ |
615/986 |
Mathlib.lean,Mathlib/Algebra/MonoidAlgebra/Basic.lean,Mathlib/Algebra/MonoidAlgebra/Division.lean,Mathlib/Algebra/MvPolynomial/Basic.lean,Mathlib/Tactic.lean,Mathlib/Tactic/MinMaxTwo.lean,scripts/noshake.json |
7 |
0 |
[] |
nobody |
687-8180 1 year ago |
unknown |
0-0 0 seconds |
| 12984 |
adomani author:adomani |
Adomani/periodic reports dev custom action |
---
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[](https://gitpod.io/from-referrer/)
|
WIP
test-ci
|
366/0 |
.github/workflows/mathlib_stats.yml,.github/workflows/ml_stats_label.yaml,scripts/count_decls.lean,scripts/mathlib_stats.sh |
4 |
69 |
['github-actions'] |
nobody |
687-8180 1 year ago |
unknown |
0-0 0 seconds |
| 13057 |
alreadydone author:alreadydone |
feat(NumberTheory): characterize elliptic divisibility sequences |
Main results:
+ Every `normEDS` is an elliptic divisibility sequence (EDS). The key proof is `rel₄_of_anti_oddRec_evenRec`, based on my original argument first published on [MathSE](https://math.stackexchange.com/a/4903422/12932)
+ Conversely, every EDS is equal to some `normEDS` (assuming that the first two terms are not zero divisors)
---
- [ ] depends on: #13155
- [x] depends on: #13153
- [x] depends on: #10843
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|
merge-conflict
t-algebra
t-number-theory
blocked-by-other-PR
label:t-algebra$ |
1032/55 |
Mathlib/Algebra/Ring/NegOnePow.lean,Mathlib/Data/Int/Defs.lean,Mathlib/Data/Int/Parity.lean,Mathlib/GroupTheory/Perm/Sign.lean,Mathlib/NumberTheory/EllipticDivisibilitySequence.lean |
5 |
6 |
['Multramate', 'alreadydone', 'kbuzzard', 'leanprover-community-mathlib4-bot'] |
nobody |
687-8180 1 year ago |
755-32608 755 days ago |
0-34672 9 hours |
| 12192 |
Ruben-VandeVelde author:Ruben-VandeVelde |
feat: generalize isLittleO_const_id_atTop/atBot |
From PNT+.
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-analysis
|
10/4 |
Mathlib/Analysis/Asymptotics/Asymptotics.lean |
1 |
6 |
['Ruben-VandeVelde', 'llllvvuu', 'urkud'] |
nobody |
687-8179 1 year ago |
791-30275 791 days ago |
1-21749 1 day |
| 10024 |
ADedecker author:ADedecker |
feat: rename `connectedComponentOfOne` to `identityComponent`, prove that it is normal and open |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-topology
awaiting-CI
|
58/24 |
Mathlib/FieldTheory/AbsoluteGaloisGroup.lean,Mathlib/Topology/Algebra/Group/Basic.lean,Mathlib/Topology/Algebra/Group/TopologicalAbelianization.lean,Mathlib/Topology/Algebra/OpenSubgroup.lean,Mathlib/Topology/Connected/Basic.lean |
5 |
0 |
[] |
nobody |
687-8178 1 year ago |
874-302 873 days ago |
0-832 13 minutes |
| 10521 |
eric-wieser author:eric-wieser |
chore: generalize `IsBoundedLinearMap` to modules |
Most of the lemmas don't actually need the normed on the scalars at all.
---
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|
merge-conflict
awaiting-author
t-analysis
|
58/42 |
Mathlib/Analysis/NormedSpace/BoundedLinearMaps.lean |
1 |
3 |
['github-actions', 'j-loreaux', 'urkud'] |
nobody |
687-8178 1 year ago |
853-62628 853 days ago |
1-29105 1 day |
| 10721 |
urkud author:urkud |
feat(Order/FunLike): define `PointwiseLE` |
- introduce a mixin class `DFunLike.PointwiseLE`, use it to define `DFunLike.instPartialOrder`;
- add a generic `DFunLike.orderEmbeddingCoe`
- add `DFunLike.PointwiseLE` instances here and there.
With this refactor and #13022, I'm going to generalize lemmas like `MeasureTheory.ae_mono` to `OuterMeasureClass`.
---
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- [x] depends on: #12983
[](https://gitpod.io/from-referrer/) |
merge-conflict
t-order
t-logic
|
123/50 |
Mathlib.lean,Mathlib/Algebra/Order/Hom/Ring.lean,Mathlib/Data/DFinsupp/Order.lean,Mathlib/Data/Finsupp/Order.lean,Mathlib/Data/FunLike/Basic.lean,Mathlib/Dynamics/Circle/RotationNumber/TranslationNumber.lean,Mathlib/GroupTheory/Congruence.lean,Mathlib/Order/FunLike.lean,Mathlib/Order/Heyting/Hom.lean,Mathlib/Order/Hom/Basic.lean,Mathlib/Order/Hom/Bounded.lean,Mathlib/Order/Hom/CompleteLattice.lean,Mathlib/Topology/Order/Hom/Basic.lean |
13 |
48 |
['YaelDillies', 'dupuisf', 'leanprover-community-mathlib4-bot', 'urkud'] |
nobody |
687-8178 1 year ago |
736-72980 736 days ago |
64-12984 64 days |
| 10845 |
Shamrock-Frost author:Shamrock-Frost |
Refactor: Make MonoidalFunctor carry the data of an inverse |
We change the definition of a strong monoidal functor from a lax monoidal functor for which the unitor and tensorator are `IsIso` to a lax monoidal functor with the data of inverses for the unitor and tensorator. This requires fixing a lot of knock on effects.
---
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This is a **draft PR**. I would like to talk with people on zulip before merging it, and plan ahead to when we have oplax/colax monoidal functors as well. I'm not sure the approach I took here where `MonoidalFunctor` inherits from `LaxMonoidalFunctor` is a good choice if we want to be lax/oplax symmetric.
[](https://gitpod.io/from-referrer/)
|
merge-conflict
WIP
RFC
t-category-theory
|
3799/1589 |
Mathlib/Algebra/Category/ModuleCat/Adjunctions.lean,Mathlib/Algebra/Homology/HomotopyCategory/DegreewiseSplit.lean,Mathlib/CategoryTheory/Adjunction/Basic.lean,Mathlib/CategoryTheory/Adjunction/Mates.lean,Mathlib/CategoryTheory/Adjunction/Opposites.lean,Mathlib/CategoryTheory/Adjunction/Prod.lean,Mathlib/CategoryTheory/Adjunction/Whiskering.lean,Mathlib/CategoryTheory/Bicategory/End.lean,Mathlib/CategoryTheory/Bicategory/SingleObj.lean,Mathlib/CategoryTheory/CatCommSq.lean,Mathlib/CategoryTheory/CatSquares.lean,Mathlib/CategoryTheory/Enriched/Basic.lean,Mathlib/CategoryTheory/Equivalence.lean,Mathlib/CategoryTheory/Iso.lean,Mathlib/CategoryTheory/Monoidal/Adjunction.lean,Mathlib/CategoryTheory/Monoidal/Braided.lean,Mathlib/CategoryTheory/Monoidal/Category.lean,Mathlib/CategoryTheory/Monoidal/Center.lean,Mathlib/CategoryTheory/Monoidal/CommMon_.lean,Mathlib/CategoryTheory/Monoidal/Discrete.lean,Mathlib/CategoryTheory/Monoidal/End.lean,Mathlib/CategoryTheory/Monoidal/Free/Basic.lean,Mathlib/CategoryTheory/Monoidal/Functor.lean,Mathlib/CategoryTheory/Monoidal/Limits.lean,Mathlib/CategoryTheory/Monoidal/Mon_.lean,Mathlib/CategoryTheory/Monoidal/NaturalTransformation.lean,Mathlib/CategoryTheory/Monoidal/Opposite.lean,Mathlib/CategoryTheory/Monoidal/Rigid/FunctorCategory.lean,Mathlib/CategoryTheory/Monoidal/Rigid/OfEquivalence.lean,Mathlib/CategoryTheory/Monoidal/Subcategory.lean,Mathlib/CategoryTheory/Monoidal/Transport.lean,Mathlib/CategoryTheory/Monoidal/Types/Basic.lean,Mathlib/CategoryTheory/Opposites.lean,Mathlib/CategoryTheory/Products/Associator.lean,Mathlib/CategoryTheory/Products/Basic.lean,Mathlib/CategoryTheory/Shift/Basic.lean,Mathlib/CategoryTheory/Shift/Pullback.lean,Mathlib/CategoryTheory/Whiskering.lean,Mathlib/RepresentationTheory/Action/Monoidal.lean,Mathlib/RepresentationTheory/GroupCohomology/Resolution.lean,Mathlib/RepresentationTheory/Rep.lean |
41 |
7 |
['Shamrock-Frost', 'joelriou'] |
nobody |
687-8178 1 year ago |
unknown |
0-0 0 seconds |
| 11100 |
eric-wieser author:eric-wieser |
feat(CategoryTheory/Limits): add `Functor.mapBinaryBiconeInv` |
---
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- [ ] depends on: #11130
[](https://gitpod.io/from-referrer/)
It's tempting to try to prove something like
```lean
theorem Functor.mapBinaryBiconeInv_toCone [Limits.HasZeroMorphisms C]
[Limits.HasZeroMorphisms D]
(e : D ⥤ C) [IsEquivalence e] {X Y : D} (b : BinaryBicone (e.obj X) (e.obj Y)) :
(e.mapBinaryBiconeInv b).toCone =
(e.mapConeInv <| (Cones.postcompose (pairComp X Y e).symm.hom).obj b.toCone) := by
simp
sorry
theorem Functor.mapBinaryBiconeInv_toCocone [Limits.HasZeroMorphisms C]
[Limits.HasZeroMorphisms D]
(e : D ⥤ C) [IsEquivalence e] {X Y : D} (b : BinaryBicone (e.obj X) (e.obj Y)) :
(e.mapBinaryBiconeInv b).toCocone =
(e.mapCoconeInv <| (Cocones.precompose (pairComp X Y e).hom).obj b.toCocone) := by
sorry
```
but maybe equality is evil here |
merge-conflict
t-category-theory
awaiting-CI
|
52/0 |
Mathlib/CategoryTheory/Adjunction/Basic.lean,Mathlib/CategoryTheory/Equivalence.lean,Mathlib/CategoryTheory/Limits/Preserves/Shapes/Biproducts.lean |
3 |
6 |
['TwoFX', 'eric-wieser', 'leanprover-community-mathlib4-bot'] |
nobody |
687-8178 1 year ago |
unknown |
0-0 0 seconds |
| 8503 |
thorimur author:thorimur |
feat: meta utils for `refine?` |
This PR introduces some metaprogramming infrastructure and utilities that are necessary for `refine?` (#8364).
* `elabTermWithHoles'` (and `withCollectingNewGoalsFrom'`): a more configurable version of `elabTermWithHoles`, which allows: preserving the initial mvar type; *not* tagging untagged goals; and postponing mvars.
* Some `Syntax` and `TSyntax` functionality, including:
* `TSyntax.map`(`M`), for acting on `TSyntax` with functions `f : Syntax -> (m) Syntax`
* Range operations: `includes` and `isEqByRange`
* `setTrailingInfoBy?` and `unsetOriginalTrailing`, which is like `unsetTrailing`, but behaves as expected.
* `Term.withoutModifyingState`, which does not allow unknown mvarIds to escape via the infotree
* `hasNewErrors`, which runs a monad computation and returns the value along with `true` or `false` depending on whether new error messages have been logged
* the option `pp.anonymousMVarSuffixes`, which can be set to `false` to replace all numeric suffixes of anonymous mvars with `✝`, which is useful in tandem with `#guard_msgs` for tests (but is essentially a workaround—although it can make some tactic states more legible).
---
I'm open to suggestions on the location and name of the option/delaborator used for trimming the numeric suffixes of anonymous mvar names (which is used in the tests)—including whether or not it should exist in the first place, as it's essentially just a workaround.
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-meta
|
312/5 |
Mathlib.lean,Mathlib/Lean/CoreM.lean,Mathlib/Lean/Elab/Tactic/ElabTerm.lean,Mathlib/Lean/Elab/Term.lean,Mathlib/Util/Delaborators.lean,Mathlib/Util/Syntax.lean |
6 |
2 |
['kmill', 'thorimur'] |
kmill assignee:kmill |
687-8177 1 year ago |
903-66901 903 days ago |
38-46649 38 days |
| 8519 |
eric-wieser author:eric-wieser |
refactor(LinearAlgebra/TensorProduct): golf using `liftAddHom` |
This new `TensorProduct.liftAddHom` doesn't require bilinearity, only that scalar multiplication can be moved between the arguments.
While in theory we only need the `AddMonoidHom` version as it offers exactly the same generality, we first provide an unbundled `liftFun` as this seems to give a sizeable performance boost if used in downstream `lift` variants.
---
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- [x] depends on: #8571
- [x] depends on: #8584
[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-algebra
label:t-algebra$ |
53/50 |
Mathlib/Algebra/Category/AlgebraCat/Monoidal.lean,Mathlib/LinearAlgebra/TensorProduct.lean,Mathlib/LinearAlgebra/TensorProduct/Tower.lean |
3 |
28 |
['bustercopley', 'eric-wieser', 'jcommelin', 'jjaassoonn', 'leanprover-bot', 'leanprover-community-mathlib4-bot', 'mathlib-bors'] |
nobody |
687-8177 1 year ago |
926-59940 926 days ago |
5-6524 5 days |
| 8582 |
eric-wieser author:eric-wieser |
wip |
---
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PR is merged. Please leave a blank newline before the `---`, otherwise
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[](https://gitpod.io/from-referrer/)
|
merge-conflict |
3/7 |
Mathlib/Algebra/Category/AlgebraCat/Monoidal.lean,Mathlib/LinearAlgebra/TensorProduct.lean |
2 |
4 |
['eric-wieser', 'leanprover-bot'] |
nobody |
687-8177 1 year ago |
unknown |
0-0 0 seconds |
| 8616 |
eric-wieser author:eric-wieser |
feat(Algebra/FreeAlgebra): add right action and `IsCentralScalar` |
---
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PR is merged. Please leave a blank newline before the `---`, otherwise
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- [ ] depends on: #8652
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebra
awaiting-CI
label:t-algebra$ |
30/8 |
Mathlib/Algebra/FreeAlgebra.lean |
1 |
1 |
['leanprover-community-mathlib4-bot'] |
nobody |
687-8177 1 year ago |
934-42119 934 days ago |
2-25170 2 days |
| 8658 |
eric-wieser author:eric-wieser |
feat: support right actions for `Con` |
This adds a new `Con.CompatibleSMul` typeclass that captures exactly the condition when `smul` descends to the quotient.
I was not quite able to merge this with `MulAction.QuotientAction`:
* The imports are such that the congruence relation `QuotientGroup.con` is not yet available in that file
* `QuotientGroup.con` requires the subgroup to be normal, while `MulAction.QuotientAction` does not
---
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PR is merged. Please leave a blank newline before the `---`, otherwise
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- [ ] depends on: #xyz [optional extra text]
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-algebra
label:t-algebra$ |
80/18 |
Mathlib/GroupTheory/Congruence.lean,Mathlib/RingTheory/Congruence.lean |
2 |
6 |
['YaelDillies', 'eric-wieser'] |
nobody |
687-8177 1 year ago |
903-60224 903 days ago |
29-65537 29 days |
| 8788 |
FMLJohn author:FMLJohn |
feat(Algebra/Module/GradeZeroModule): if `A` is a graded semiring and `M` is a graded `A`-module, then each grade of `M` is a module over the 0-th grade of `A`. |
---
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- [ ] depends on: #8187
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebra
label:t-algebra$ |
237/4 |
Mathlib.lean,Mathlib/Algebra/DirectSum/Internal.lean,Mathlib/Algebra/GradedMonoid.lean,Mathlib/Algebra/Module/GradeZeroModule.lean,Mathlib/RingTheory/GradedAlgebra/Basic.lean,Mathlib/RingTheory/GradedAlgebra/Noetherian.lean |
6 |
4 |
['FMLJohn', 'github-actions', 'leanprover-community-mathlib4-bot'] |
nobody |
687-8177 1 year ago |
926-84473 926 days ago |
1-57831 1 day |
| 8906 |
jjaassoonn author:jjaassoonn |
feat: add some missing lemmas about linear algebra |
---
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- [ ] depends on: #xyz [optional extra text]
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- [ ] depends on: #8905 [lifting injective modules to higher universe]
[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-algebra
label:t-algebra$ |
45/1 |
Mathlib/Algebra/Category/ModuleCat/Basic.lean,Mathlib/Algebra/Module/Injective.lean,Mathlib/LinearAlgebra/Basic.lean,Mathlib/LinearAlgebra/BilinearMap.lean |
4 |
21 |
['AntoineChambert-Loir', 'alreadydone', 'jjaassoonn', 'leanprover-community-mathlib4-bot'] |
nobody |
687-8177 1 year ago |
922-67671 922 days ago |
0-343 5 minutes |
| 8961 |
eric-wieser author:eric-wieser |
refactor: use the coinduced topology on ULift |
---
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- [x] depends on: #8958
[](https://gitpod.io/from-referrer/)
|
please-adopt
merge-conflict
awaiting-author
awaiting-CI
|
46/14 |
Mathlib/Analysis/Normed/Group/Basic.lean,Mathlib/Topology/Bornology/Constructions.lean,Mathlib/Topology/Constructions.lean |
3 |
6 |
['eric-wieser', 'github-actions', 'leanprover-community-mathlib4-bot', 'urkud'] |
nobody |
687-8177 1 year ago |
920-40007 920 days ago |
0-1 1 second |
| 9146 |
laughinggas author:laughinggas |
feat(Data/ZMod/Defs): Topological structure on `ZMod` |
Added a discrete topology structure to `ZMod n` for all `n`
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebra
awaiting-author
t-topology
label:t-algebra$ |
55/3 |
Mathlib.lean,Mathlib/Topology/Algebra/Constructions.lean,Mathlib/Topology/Algebra/Group/Basic.lean,Mathlib/Topology/Instances/ZMod.lean,Mathlib/Topology/Maps.lean |
5 |
61 |
['YaelDillies', 'eric-wieser', 'github-actions', 'jcommelin', 'laughinggas', 'mo271', 'urkud'] |
nobody |
687-8177 1 year ago |
893-52668 893 days ago |
7-11053 7 days |
| 9229 |
eric-wieser author:eric-wieser |
refactor(Algebra/GradedMonoid): Use `HMul` to define `GMul` |
This make the notation much nicer, but I'm pretty sure this is a bad idea for performance / ambiguity reasons.
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
WIP
t-algebra
label:t-algebra$ |
114/125 |
Mathlib/Algebra/DirectSum/Algebra.lean,Mathlib/Algebra/DirectSum/Internal.lean,Mathlib/Algebra/DirectSum/Ring.lean,Mathlib/Algebra/GradedMonoid.lean,Mathlib/Algebra/GradedMulAction.lean,Mathlib/Algebra/Module/GradedModule.lean,Mathlib/Algebra/MonoidAlgebra/ToDirectSum.lean,Mathlib/LinearAlgebra/TensorAlgebra/ToTensorPower.lean,Mathlib/LinearAlgebra/TensorPower.lean,Mathlib/LinearAlgebra/TensorProduct/Graded/Internal.lean,Mathlib/RingTheory/GradedAlgebra/Basic.lean |
11 |
6 |
['eric-wieser', 'leanprover-bot'] |
nobody |
687-8177 1 year ago |
unknown |
0-0 0 seconds |
| 9252 |
FR-vdash-bot author:FR-vdash-bot |
chore: remove redundant covariance instances, add priority |
I noticed that the following code is surprisingly slow.
``` lean
import Mathlib
count_heartbeats in
example {n : ℕ} : CovariantClass (Fin (n + 1)) (Fin (n + 1)) (· + ·) (· < ·) := by
try infer_instance
sorry
```
This PR removed some redundant instances. The heartbeats have dropped from 19118 to 11450 (still too slow).
Lean4 still seems to make some redundant attempts. See also https://github.com/leanprover-community/mathlib4/issues/6646#issuecomment-1691792488.
---
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[](https://gitpod.io/from-referrer/)
|
WIP
t-algebra
t-order
merge-conflict
slow-typeclass-synthesis
awaiting-author
label:t-algebra$ |
40/32 |
Mathlib/Algebra/CovariantAndContravariant.lean,Mathlib/Algebra/Order/Group/Defs.lean,Mathlib/Algebra/Order/Monoid/Defs.lean,Mathlib/CategoryTheory/Abelian/DiagramLemmas/Four.lean |
4 |
8 |
['astrainfinita', 'leanprover-bot', 'urkud'] |
nobody |
687-8177 1 year ago |
unknown |
0-0 0 seconds |
| 9354 |
chenyili0818 author:chenyili0818 |
feat: monotonicity of gradient on convex real-valued functions |
This file is based on Mathlib.Analysis.Calculus.Gradient.Basic, and describes the calculation properties
co-authored-by: Ziyu Wang [tropicalfish910@gmail.com](mailto:tropicalfish910@gmail.com)
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-analysis
|
540/0 |
Mathlib.lean,Mathlib/Analysis/Convex/ConvexFunction.lean |
2 |
15 |
['github-actions', 'winstonyin'] |
nobody |
687-8177 1 year ago |
877-38803 877 days ago |
23-36394 23 days |
| 9356 |
alexjbest author:alexjbest |
feat: assumption? |
A little helper for replacing `assumption`s with `exact` statements quickly
---
If this is approved I will add tests
This begs the question of whether it might simply be better to add some sort of code action for "replace with trythis output"
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-meta
|
24/0 |
Mathlib.lean,Mathlib/Tactic.lean,Mathlib/Tactic/Common.lean,Mathlib/Tactic/TryAssumption.lean |
4 |
5 |
['alexjbest', 'j-loreaux', 'jcommelin'] |
nobody |
687-8177 1 year ago |
881-44175 881 days ago |
19-26336 19 days |
| 9469 |
dupuisf author:dupuisf |
feat: maximum modulus principle for functions vanishing at infinity |
This PR adds versions of the maximum modulus principle for functions vanishing at infinity that parallel those we already had for functions over a bounded set. These will have applications in e.g. norm interpolation.
---
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[](https://gitpod.io/from-referrer/)
|
awaiting-author
t-analysis
|
71/0 |
Mathlib/Analysis/Complex/AbsMax.lean |
1 |
8 |
['dupuisf', 'j-loreaux'] |
nobody |
687-8177 1 year ago |
881-49423 881 days ago |
12-86009 12 days |
| 9482 |
yuma-mizuno author:yuma-mizuno |
refactor(CategoryTheory/Monoidal): add `LaxMonoidalStruct` |
Add a `LaxMonoidalStruct` with only the unit morphism `ε` and the tensorator `μ`. This is used in #6307 to provide two different constructors for `LaxMonoidal` that have common `ε` and `μ` but use the tensor of morphisms or the whiskerings.
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
WIP
t-category-theory
|
21/8 |
Mathlib/Algebra/Category/ModuleCat/Adjunctions.lean,Mathlib/CategoryTheory/Monoidal/Functorial.lean,Mathlib/CategoryTheory/Monoidal/Limits.lean |
3 |
0 |
[] |
nobody |
687-8177 1 year ago |
unknown |
0-0 0 seconds |
| 9487 |
eric-wieser author:eric-wieser |
feat: the exponential of dual numbers over non-commutative rings |
This is a work in progress, as I don't know my way around the measure theory library.
---
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- [x] depends on: #9489
- [x] depends on: #9486
- [x] depends on: #10427
- [ ] depends on: #10452
[](https://gitpod.io/from-referrer/)
|
WIP
t-algebra
t-measure-probability
merge-conflict
t-analysis
label:t-algebra$ |
97/0 |
Mathlib/Analysis/NormedSpace/TrivSqZeroExt.lean |
1 |
7 |
['github-actions', 'leanprover-community-mathlib4-bot'] |
nobody |
687-8177 1 year ago |
unknown |
0-0 0 seconds |
| 9504 |
alreadydone author:alreadydone |
chore: remove some IsSeparable assumptions |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
WIP
t-algebra
label:t-algebra$ |
41/14 |
Mathlib/NumberTheory/NumberField/Norm.lean,Mathlib/RingTheory/Norm.lean |
2 |
0 |
[] |
nobody |
687-8177 1 year ago |
unknown |
0-0 0 seconds |
| 9510 |
eric-wieser author:eric-wieser |
feat(Analysis/Calculus/DualNumber): Extending differentiable functions to dual numbers |
This shows that this operation preserves multiplication and composition
---
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[](https://gitpod.io/from-referrer/)
|
WIP
t-algebra
t-analysis
awaiting-CI
label:t-algebra$ |
119/0 |
Mathlib/Analysis/Calculus/DualNumber.lean |
1 |
4 |
['github-actions'] |
nobody |
687-8177 1 year ago |
unknown |
0-0 0 seconds |
| 9570 |
eric-wieser author:eric-wieser |
feat(Algebra/Star): Non-commutative generalization of `StarModule` |
[Zulip thread](https://leanprover.zulipchat.com/#narrow/stream/116395-maths/topic/Star.20modules.20over.20non-commutative.20scalars/near/383664005).
Until we address #7152, we have to have both `StarModule` and `StarModule'`.
To prove this generalization is useful, this shows that with it as an assumption, `TrivSqZeroExt` is a `StarRing`.
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
WIP
t-algebra
awaiting-CI
label:t-algebra$ |
66/6 |
Mathlib/Algebra/Star/Basic.lean,Mathlib/Algebra/Star/Pi.lean,Mathlib/Algebra/Star/Prod.lean,Mathlib/Algebra/TrivSqZeroExt.lean |
4 |
0 |
[] |
nobody |
687-8177 1 year ago |
unknown |
0-0 0 seconds |
| 9642 |
eric-wieser author:eric-wieser |
refactor(Analysis/Normed/{Group/Field}/Basic): Let `extends` generate the repeated fields |
New-style structure shenanigans mean that instance constructors randomly complain about a missing field that can be found with `__ : MetricSpace _ := infer_instance`.
---
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[](https://gitpod.io/from-referrer/)
I will write a longer PR description for this once CI is happy
|
WIP
merge-conflict
awaiting-author
help-wanted
t-analysis
|
122/202 |
Mathlib/Analysis/Calculus/ContDiff/Basic.lean,Mathlib/Analysis/Complex/Basic.lean,Mathlib/Analysis/Matrix.lean,Mathlib/Analysis/Normed/Field/Basic.lean,Mathlib/Analysis/Normed/Group/Basic.lean,Mathlib/Analysis/Normed/Group/Completion.lean,Mathlib/Analysis/Normed/Order/Basic.lean,Mathlib/Analysis/NormedSpace/ProdLp.lean,Mathlib/Analysis/NormedSpace/Star/Matrix.lean,Mathlib/Analysis/NormedSpace/Unitization.lean,Mathlib/Analysis/Quaternion.lean,Mathlib/Geometry/Manifold/Instances/Sphere.lean,Mathlib/InformationTheory/Hamming.lean,Mathlib/MeasureTheory/Measure/Lebesgue/VolumeOfBalls.lean,Mathlib/NumberTheory/NumberField/CanonicalEmbedding.lean,Mathlib/NumberTheory/Padics/PadicIntegers.lean,Mathlib/Topology/ContinuousFunction/Bounded.lean |
17 |
11 |
['eric-wieser', 'leanprover-bot', 'urkud'] |
nobody |
687-8177 1 year ago |
unknown |
0-0 0 seconds |
| 6580 |
adomani author:adomani |
chore: `move_add`-driven replacements |
This PR accompanies #6576 and uses `move_add/mul` to simplify/streamline a selection of proofs.
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
|
12/13 |
Counterexamples/Monic_nonRegular.lean,Mathlib/Algebra/Associated.lean,Mathlib/Data/Polynomial/RingDivision.lean,Mathlib/LinearAlgebra/QuadraticForm/Basic.lean |
4 |
0 |
[] |
nobody |
687-8176 1 year ago |
972-57340 972 days ago |
62-34247 62 days |
| 6630 |
MohanadAhmed author:MohanadAhmed |
feat: Reduced Spectral Theorem |
For A hermitian matrix $A : n \times n$ with rank $A.rank \leq n$, we can eliminate the zero eigenvalues and their corresponding eigenvectors from the (alternate) spectral theorem. As such the matrix $A$ can be written as: $$A = V₁ D V₁ᴴ$$ where
- $V₁$ : $n \times r$ is the matrix of eigenvector with non-zero associated eigenvalues.
- $D$ is $r \times r$ is the diagonal matrix containing only non-zero eigenvalues on its main diagonal.
with $r = A.rank$ being the rank of the matrix
Towards that goal we make several equivalence definitions:
- `{i // hA.eigenvalues i ≠ 0} ≃ Fin (A.rank)` the set of non-zero eigenvalues can be indexed by the numbers from 0 to (r - 1).
- `{i // ¬ hA.eigenvalues i ≠ 0} ≃ Fin (n - A.rank)` the set of non-zero eigenvalues can be indexed by the numbers from 0 to (n - r - 1).
- `{i // hA.eigenvalues i ≠ 0} ⊕ {i // ¬hA.eigenvalues i ≠ 0} ≃ n`: the index set of the matrix (together with the associated eigenvector matrix and eigenvalues matrix ) can be partitioned into two complement groups the ones corresponding to non-zero eigenvalues and the ones corresponding to zero eigenvalues.
- We can then put the previous definitions together to obtain a: `Fin (A.rank) ⊕ Fin (Fintype.card n - A.rank) ≃ n`
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
WIP
t-algebra
label:t-algebra$ |
31/0 |
Mathlib/LinearAlgebra/Matrix/Spectrum.lean |
1 |
0 |
[] |
nobody |
687-8176 1 year ago |
unknown |
0-0 0 seconds |
| 6777 |
adomani author:adomani |
chore(Co*variantClass): replace eta-expanded (· * ·), (· + ·), (· ≤ ·), (· < ·) |
Replace `CovariantClass X X (· * ·) (· ≤ ·)` with -> `CovariantClass X X HMul.hMul LE.le` and similarly for `HAdd`, `LT`, `Contravariant`.
This PR is inspired by [Issue #6646](https://github.com/leanprover-community/mathlib4/issues/6646) and, more specifically, [this comment](https://github.com/leanprover-community/mathlib4/issues/6646#issuecomment-1692792066).
Note that https://github.com/leanprover/lean4/pull/2267 would make this unnecessary
---
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```bash
# First sed command:
# the first captured pattern is `Co*variantClass <type> <type> `
# the second captured pattern is `<type>`
# the third captured pattern is `+` or `*`
# the fourth captured pattern is `<` or `≤`
# a match for `Co*variantClass <type> <type> (· <op> ·) (· <rel> ·)` becomes
# `Co*variantClass <type> <type> replaceop<op> replaceop<rel>`
# Second sed command: similar to the first, but looks for `(Function.swap (· <op> ·))`
sed -i '
s=\(Co[ntra]*variantClass \(..*\) \2 \)(· *\([+*]\) *·) (· *\([<≤]\) *·)=\1replaceop\3 replaceop\4=g
s=\(Co[ntra]*variantClass \(..*\) \2 \)(\([Functio\.swap ]*\)(· *\([+*]\) *·)) (· *\([<≤]\) *·)=\1(\3replaceop\4) replaceop\5=g
s=replaceop+=HAdd.hAdd=g
s=replaceop\*=HMul.hMul=g
s=replaceop<=LT.lt=g
s=replaceop≤=LE.le=g
s=\(Co[ntra]*variantClass N N\) (· \* ·) r=\1 HMul.hMul r=g
s=\(Co[ntra]*variantClass N N (swap μ)\) (· ≤ ·)=\1 LE.le=g
s=\(Co[ntra]*variantClass N N\) (swap (· \* ·)) r=\1 (swap HMul.hMul) r=g
s=\(CovariantClass (Filter α) (Filter α)\) (· / ·) (· ≤ ·)=\1 HDiv.hDiv LE.le=g
s=\(CovariantClass (Filter α) (Filter α)\) (swap (· / ·)) (· ≤ ·)=\1 (swap HDiv.hDiv) LE.le=g
s=\(Co[ntra]*variantClass .* (fun x y .> . \* .)\) (· ≤ ·)=\1 LE.le=g
s=\(Co[ntra]*variantClass .* (fun x y .> . \* .)\) (· < ·)=\1 LT.lt=g
s=\(Co[ntra]*variantClass [^}]*\) (· ≤ ·)=\1 LE.le=g
s=\(CovariantClass .* (Filter β)\) (· • ·) LE.le=\1 HSMul.hSMul LE.le=g
' $(git ls-files '*.lean')
```
[](https://gitpod.io/from-referrer/)
|
merge-conflict |
703/678 |
Counterexamples/ZeroDivisorsInAddMonoidAlgebras.lean,Mathlib/Algebra/BigOperators/Basic.lean,Mathlib/Algebra/Bounds.lean,Mathlib/Algebra/CovariantAndContravariant.lean,Mathlib/Algebra/DirectSum/Internal.lean,Mathlib/Algebra/Group/UniqueProds.lean,Mathlib/Algebra/GroupPower/Order.lean,Mathlib/Algebra/MonoidAlgebra/Degree.lean,Mathlib/Algebra/Order/Archimedean.lean,Mathlib/Algebra/Order/Group/Abs.lean,Mathlib/Algebra/Order/Group/Defs.lean,Mathlib/Algebra/Order/Group/DenselyOrdered.lean,Mathlib/Algebra/Order/Group/MinMax.lean,Mathlib/Algebra/Order/Group/OrderIso.lean,Mathlib/Algebra/Order/Hom/Monoid.lean,Mathlib/Algebra/Order/Interval.lean,Mathlib/Algebra/Order/Kleene.lean,Mathlib/Algebra/Order/LatticeGroup.lean,Mathlib/Algebra/Order/Module.lean,Mathlib/Algebra/Order/Monoid/Basic.lean,Mathlib/Algebra/Order/Monoid/Cancel/Defs.lean,Mathlib/Algebra/Order/Monoid/Canonical/Defs.lean,Mathlib/Algebra/Order/Monoid/Defs.lean,Mathlib/Algebra/Order/Monoid/Lemmas.lean,Mathlib/Algebra/Order/Monoid/MinMax.lean,Mathlib/Algebra/Order/Monoid/NatCast.lean,Mathlib/Algebra/Order/Monoid/OrderDual.lean,Mathlib/Algebra/Order/Monoid/Prod.lean,Mathlib/Algebra/Order/Monoid/WithTop.lean,Mathlib/Algebra/Order/Monoid/WithZero/Basic.lean,Mathlib/Algebra/Order/Monoid/WithZero/Defs.lean,Mathlib/Algebra/Order/Nonneg/Ring.lean,Mathlib/Algebra/Order/Pointwise.lean,Mathlib/Algebra/Order/Positive/Ring.lean,Mathlib/Algebra/Order/Ring/Canonical.lean,Mathlib/Algebra/Order/Ring/Defs.lean,Mathlib/Algebra/Order/Ring/Lemmas.lean,Mathlib/Algebra/Order/Sub/Basic.lean,Mathlib/Algebra/Order/Sub/Canonical.lean,Mathlib/Algebra/Order/Sub/Defs.lean,Mathlib/Algebra/Order/WithZero.lean,Mathlib/Algebra/Parity.lean,Mathlib/Algebra/Star/Order.lean,Mathlib/Algebra/Tropical/Basic.lean,Mathlib/Analysis/Normed/Order/Lattice.lean,Mathlib/Data/DFinsupp/Lex.lean,Mathlib/Data/DFinsupp/Order.lean,Mathlib/Data/Finset/Fold.lean,Mathlib/Data/Finsupp/Lex.lean,Mathlib/Data/Finsupp/Order.lean,Mathlib/Data/List/BigOperators/Basic.lean,Mathlib/Data/List/BigOperators/Lemmas.lean,Mathlib/Data/Multiset/Basic.lean,Mathlib/Data/Nat/Cast/Order.lean,Mathlib/Data/PNat/Basic.lean,Mathlib/Data/Real/ENNReal.lean,Mathlib/Data/Real/NNReal.lean,Mathlib/Data/Set/Semiring.lean,Mathlib/Data/Sign.lean,Mathlib/MeasureTheory/Function/LpOrder.lean,Mathlib/MeasureTheory/Function/SimpleFuncDenseLp.lean,Mathlib/MeasureTheory/Measure/MeasureSpace.lean,Mathlib/MeasureTheory/Measure/VectorMeasure.lean,Mathlib/Order/ConditionallyCompleteLattice/Group.lean,Mathlib/Order/Filter/Basic.lean,Mathlib/Order/Filter/Pointwise.lean,Mathlib/Probability/Martingale/Basic.lean,Mathlib/Probability/Process/Stopping.lean,Mathlib/RingTheory/GradedAlgebra/Basic.lean,Mathlib/SetTheory/Cardinal/Basic.lean,Mathlib/SetTheory/Game/Basic.lean,Mathlib/SetTheory/Game/PGame.lean,Mathlib/SetTheory/Ordinal/Arithmetic.lean,Mathlib/SetTheory/Ordinal/Basic.lean,Mathlib/SetTheory/Ordinal/NaturalOps.lean,Mathlib/Tactic/GCongr/Core.lean,Mathlib/Tactic/Positivity/Basic.lean,Mathlib/Topology/ContinuousFunction/Algebra.lean,lean-toolchain,test/Recall.lean,test/propose.lean |
81 |
37 |
['adomani', 'alreadydone', 'digama0', 'eric-wieser', 'ericrbg', 'jcommelin', 'leanprover-bot', 'sgouezel', 'vihdzp'] |
nobody |
687-8176 1 year ago |
961-60073 961 days ago |
35-63136 35 days |
| 6791 |
eric-wieser author:eric-wieser |
refactor: Use flat structures for morphisms |
This restores the symmetry we had in Lean3, where we had `MonoidHom.mk f one mul` not `MonoidHom.mk (OneHom.mk f one) mul`, and `f.toFun` wasn't notation for `f.toMulHom.toFun`.
The nesting provided by the previous inheritance is useless to us in the face of `MonoidHomClass.toMonoidHom`, which completely eta-expands the structure anyway.
We call the class `FunLikeFlatHack._` because this means the field is called `to_` which uses up less space in the goal view than any alternative.
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
help-wanted
awaiting-CI
|
174/201 |
Mathlib/Algebra/Algebra/Equiv.lean,Mathlib/Algebra/Algebra/Hom.lean,Mathlib/Algebra/Category/GroupCat/ZModuleEquivalence.lean,Mathlib/Algebra/Category/GroupWithZeroCat.lean,Mathlib/Algebra/Category/ModuleCat/Presheaf.lean,Mathlib/Algebra/Category/MonCat/Basic.lean,Mathlib/Algebra/Group/Ext.lean,Mathlib/Algebra/Group/Prod.lean,Mathlib/Algebra/Group/UniqueProds.lean,Mathlib/Algebra/Hom/Equiv/Basic.lean,Mathlib/Algebra/Hom/Group/Defs.lean,Mathlib/Algebra/Hom/GroupAction.lean,Mathlib/Algebra/Hom/NonUnitalAlg.lean,Mathlib/Algebra/Hom/Ring/Defs.lean,Mathlib/Algebra/Lie/Basic.lean,Mathlib/Algebra/Module/Equiv.lean,Mathlib/Algebra/Module/LinearMap.lean,Mathlib/Algebra/Order/Hom/Ring.lean,Mathlib/Algebra/Order/Interval.lean,Mathlib/Algebra/Ring/Equiv.lean,Mathlib/Analysis/Normed/Group/SemiNormedGroupCat.lean,Mathlib/Data/FunLike/Basic.lean,Mathlib/Data/Rat/Cast/CharZero.lean,Mathlib/Data/Real/EReal.lean,Mathlib/Data/Real/Sqrt.lean,Mathlib/GroupTheory/FreeAbelianGroup.lean,Mathlib/GroupTheory/MonoidLocalization.lean,Mathlib/LinearAlgebra/Quotient.lean,Mathlib/LinearAlgebra/TensorProduct.lean,Mathlib/RingTheory/RingInvo.lean,Mathlib/Topology/Algebra/Module/Basic.lean,Mathlib/Topology/MetricSpace/Dilation.lean |
32 |
0 |
[] |
nobody |
687-8176 1 year ago |
unknown |
0-0 0 seconds |
| 6930 |
kmill author:kmill |
feat: `resynth_instances` tactic for resynthesizing instances in the goal or local context |
This tactic can be useful for debugging non-canonical instances or for fixing up goals and hypotheses after using the `classical` tactic.
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
WIP
t-meta
|
327/0 |
Mathlib.lean,Mathlib/Tactic.lean,Mathlib/Tactic/ResynthInstances.lean,test/ResynthInstances.lean |
4 |
0 |
[] |
nobody |
687-8176 1 year ago |
unknown |
0-0 0 seconds |
| 6931 |
urkud author:urkud |
refactor(Analysis/Normed*): use `RingHomIsometric` for `*.norm_cast` |
---
I don't understand why linter fails.
<!-- The text above the `---` will become the commit message when your
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
help-wanted
t-analysis
|
78/68 |
Mathlib/Analysis/LocallyConvex/ContinuousOfBounded.lean,Mathlib/Analysis/Normed/Field/Basic.lean,Mathlib/Analysis/Normed/Group/Basic.lean,Mathlib/Analysis/NormedSpace/Basic.lean,Mathlib/Analysis/NormedSpace/Exponential.lean,Mathlib/Analysis/NormedSpace/Spectrum.lean,Mathlib/Analysis/RCLike/Basic.lean,Mathlib/NumberTheory/NumberField/Embeddings.lean |
8 |
0 |
[] |
nobody |
687-8176 1 year ago |
unknown |
0-0 0 seconds |
| 7225 |
jjaassoonn author:jjaassoonn |
some random stuff |
- Consider two commutative rings `R` and `S` and `X` and `(R, S)`-bimodule.
Consider the tensor functor `(X ⊗[R] .)` from the category of `R`-modules to the category of `S`-modules and the hom functor `X →ₗ[S] .` from the category of `S`-modules to the category of `R`-modules, they form an adjunction.
- direct limits of modules commute with tensor product
- A proof of 
Three definitions for flatness:
1. in terms of injectiveness
```lean
def Flat.injective : Prop :=
∀ ⦃N N' : ModuleCat.{u} R⦄ (L : N ⟶ N'),
Function.Injective L → Function.Injective ((tensorRight (ModuleCat.of R M)).map L)
```
2. in terms of ideals
```lean
def Flat.ideal : Prop :=
∀ (I : Ideal R), Function.Injective (TensorProduct.lift ((lsmul R M).comp I.subtype))
```
3. in terms of finitely generated ideal
```lean
def Flat.fg_ideal : Prop :=
∀ ⦃I : Ideal R⦄ (_ : I.FG), Function.Injective (TensorProduct.lift ((lsmul R M).comp I.subtype))
```
and they are all equivalent:
```lean
lemma tfae : List.TFAE
[ Flat.injective R M,
Flat.ideal R M,
Flat.fg_ideal R M ] := by
```
The dependencies between these changed files are:
```
Algebra.Module.LinearMap---------------------------------
| |
| |
v v
Algebra.Category.ModuleCat.TensorProduct -----> Algebra.Character
|
|
|
v
Algebra.DirectLimitAndTensorProduct -------------> RingTheory.Flat
```
to prove equivalence of other definitions, e.g. exact functor, tor, etc should be easier with this because the proof is will be categorical
---
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-------------
Some other stuff not about flatness
1. If $S$ is a submonoid and $I$ is maximally disjoint from $S$ then $I$ is prime
2. if $\mathfrak p$ is a minimal prime, then $x \in \mathfrak p$ implies that $x$ is a zero divisor
3. Noetherian rings has only finitely many minimal ideals
4. One version of [the prime avoidance lemma](https://en.wikipedia.org/wiki/Prime_avoidance_lemma): if $E$ is an addsubgroup of a ring and is mutiplicatively closed, and $\mathfrak p_i$ is some prime ideals, then not being any subset of the individual prime ideal implies that not being a subset of their union
----------
[](https://gitpod.io/from-referrer/)
|
merge-conflict |
1828/16 |
Mathlib.lean,Mathlib/Algebra/Category/ModuleCat/TensorProduct.lean,Mathlib/Algebra/Character.lean,Mathlib/Algebra/DirectLimitAndTensorProduct.lean,Mathlib/Algebra/Module/LinearMap.lean,Mathlib/AlgebraicGeometry/PrimeSpectrum/Basic.lean,Mathlib/AlgebraicGeometry/PrimeSpectrum/Noetherian.lean,Mathlib/CategoryTheory/Functor/Fin.lean,Mathlib/CategoryTheory/ShortExactSequence.lean,Mathlib/RingTheory/Flat.lean,Mathlib/RingTheory/Ideal/Basic.lean,Mathlib/RingTheory/Ideal/MinimalPrime.lean,Mathlib/RingTheory/Ideal/PrimeAvoidance.lean |
13 |
6 |
['eric-wieser', 'jjaassoonn'] |
nobody |
687-8176 1 year ago |
unknown |
0-0 0 seconds |
| 7227 |
kmill author:kmill |
feat: flexible binders and integration into notation3 |
Introduces `flexibleBinders`, which is an extensible system for binder notations that allow destructuring, bounded domains, and other niceties. Integrates this into `notation3`, and makes `Finset.sum`/`Finset.prod` use it.
---
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- [ ] depends on: #6833
[](https://gitpod.io/from-referrer/)
|
merge-conflict
WIP
t-meta
|
1215/131 |
Mathlib.lean,Mathlib/Algebra/BigOperators/Basic.lean,Mathlib/Algebra/BigOperators/Intervals.lean,Mathlib/Algebra/BigOperators/NatAntidiagonal.lean,Mathlib/Mathport/Notation.lean,Mathlib/Util/FlexibleBinders.lean,Mathlib/Util/FlexibleBindersFinset.lean,Mathlib/Util/SyntaxFun.lean,test/FlexibleBinders.lean,test/notation3.lean |
10 |
3 |
['eric-wieser', 'kmill', 'leanprover-community-mathlib4-bot'] |
nobody |
687-8176 1 year ago |
unknown |
0-0 0 seconds |
| 7351 |
shuxuezhuyi author:shuxuezhuyi |
feat(Topology/Algebra/Order): extend function on `Ioo` to `Icc` |
Extend a strictly monotone function defined on an open interval.
---
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PR is merged. Please leave a blank newline before the `---`, otherwise
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- [ ] depends on: #xyz [optional extra text]
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-order
|
59/0 |
Mathlib.lean,Mathlib/Data/Set/Function.lean,Mathlib/Topology/Algebra/Order/IccExtendFromIoo.lean |
3 |
7 |
['j-loreaux', 'shuxuezhuyi'] |
nobody |
687-8176 1 year ago |
965-63404 965 days ago |
30-32706 30 days |
| 7467 |
ADedecker author:ADedecker |
feat: spectrum of X →ᵇ ℂ is StoneCech X |
---
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PR is merged. Please leave a blank newline before the `---`, otherwise
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
WIP
t-analysis
|
121/23 |
Mathlib/Analysis/NormedSpace/Star/BoundedContinuousFunction.lean,Mathlib/Analysis/NormedSpace/Star/GelfandDuality.lean,Mathlib/Topology/ContinuousFunction/Bounded.lean,Mathlib/Topology/ContinuousFunction/Compact.lean |
4 |
1 |
['github-actions'] |
nobody |
687-8176 1 year ago |
unknown |
0-0 0 seconds |
| 7512 |
Komyyy author:Komyyy |
perf: override the data structures of coinductive types |
The data structures of the model of coinductive types (`Stream'`, `Computation`, `Stream'.Seq`) are inefficient, so we override their data structures.
---
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- [ ] depends on: #xyz [optional extra text]
-->
- [x] depends on: #7514
- [ ] depends on: leanprover/lean4#2292
- [x] depends on: leanprover/std4#371
- [x] depends on: #8460
[](https://gitpod.io/from-referrer/)
|
WIP
blocked-by-core-PR
blocked-by-other-PR
merge-conflict
t-meta
|
6919/3700 |
Mathlib.lean,Mathlib/Algebra/ContinuedFractions/Basic.lean,Mathlib/Algebra/ContinuedFractions/Computation/ApproximationCorollaries.lean,Mathlib/Algebra/ContinuedFractions/Computation/Approximations.lean,Mathlib/Algebra/ContinuedFractions/Computation/Basic.lean,Mathlib/Algebra/ContinuedFractions/Computation/CorrectnessTerminating.lean,Mathlib/Algebra/ContinuedFractions/Computation/TerminatesIffRat.lean,Mathlib/Algebra/ContinuedFractions/Computation/Translations.lean,Mathlib/Algebra/ContinuedFractions/ContinuantRecurrence.lean,Mathlib/Algebra/ContinuedFractions/EvalEquiv.lean,Mathlib/Algebra/ContinuedFractions/Real.lean,Mathlib/Algebra/ContinuedFractions/TerminatedStable.lean,Mathlib/Algebra/ContinuedFractions/Translations.lean,Mathlib/Combinatorics/Hindman.lean,Mathlib/Control/Fix.lean,Mathlib/Control/LawfulFix.lean,Mathlib/Data/Seq/Computation.lean,Mathlib/Data/Seq/Parallel.lean,Mathlib/Data/Seq/Seq.lean,Mathlib/Data/Seq/WSeq.lean,Mathlib/Data/Stream.lean,lean-toolchain |
22 |
2 |
['digama0', 'leanprover-community-mathlib4-bot'] |
nobody |
687-8176 1 year ago |
unknown |
0-0 0 seconds |
| 7564 |
shuxuezhuyi author:shuxuezhuyi |
feat(Topology/Algebra/Order): extend strictly monotone function on `Ioo` to homeomorphism on `Icc` |
A strictly monotone function between open intervals can be extended to a homeomorphism between the closed intervals.
---
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PR is merged. Please leave a blank newline before the `---`, otherwise
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- [ ] depends on: #7351
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-topology
blocked-by-other-PR
|
162/0 |
Mathlib.lean,Mathlib/Topology/Algebra/Order/IccExtendFromIoo.lean |
2 |
1 |
['leanprover-community-mathlib4-bot'] |
nobody |
687-8176 1 year ago |
984-81808 984 days ago |
0-537 8 minutes |
| 7601 |
digama0 author:digama0 |
feat: ring hom support in `ring` |
As [requested on Zulip](https://leanprover.zulipchat.com/#narrow/stream/287929-mathlib4/topic/aroots/near/395750055). Adds support for distributing ring morphisms in `ring`:
```lean
example (p : ℤ[X]) (r : ℤ) : C (2 * r) * p = C r * p + C r * p := by ring
```
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-algebra
t-meta
label:t-algebra$ |
257/48 |
Mathlib/Tactic/Ring/Basic.lean,test/linear_combination.lean,test/ring.lean |
3 |
1 |
['eric-wieser'] |
nobody |
687-8176 1 year ago |
919-78179 919 days ago |
62-28836 62 days |
| 7835 |
shuxuezhuyi author:shuxuezhuyi |
feat(LinearAlgebra/Matrix): `lift` for projective special linear group |
We provide converters to help with the use of "quotient.liftOn" on projective special linear groups.
---
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- [x] depends on: #7826
- [x] depends on: #7791
[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-algebra
label:t-algebra$ |
52/0 |
Mathlib/LinearAlgebra/Matrix/ProjectiveSpecialLinearGroup.lean |
1 |
3 |
['jcommelin', 'leanprover-community-mathlib4-bot', 'shuxuezhuyi'] |
jcommelin assignee:jcommelin |
687-8176 1 year ago |
833-18007 833 days ago |
1-85797 1 day |
| 7875 |
astrainfinita author:astrainfinita |
chore: make `SMulCommClass A A B` and `SMulCommClass A B B` higher priority |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
slow-typeclass-synthesis
t-algebra
label:t-algebra$ |
54/48 |
Mathlib/Algebra/Algebra/Basic.lean,Mathlib/Algebra/Algebra/NonUnitalSubalgebra.lean,Mathlib/Algebra/DirectSum/Algebra.lean,Mathlib/Algebra/Group/Action/Defs.lean,Mathlib/Algebra/Group/Subgroup/Actions.lean,Mathlib/Algebra/Lie/NonUnitalNonAssocAlgebra.lean,Mathlib/Algebra/Module/LinearMap/End.lean,Mathlib/Algebra/MonoidAlgebra/Basic.lean,Mathlib/Algebra/MvPolynomial/Basic.lean,Mathlib/Algebra/Ring/CentroidHom.lean,Mathlib/Algebra/Ring/Subring/Basic.lean,Mathlib/Algebra/Ring/Subsemiring/Basic.lean,Mathlib/Algebra/Star/NonUnitalSubalgebra.lean,Mathlib/Analysis/Complex/UnitDisc/Basic.lean,Mathlib/Analysis/NormedSpace/lpSpace.lean,Mathlib/Data/Matrix/Basic.lean,Mathlib/GroupTheory/GroupAction/Prod.lean,Mathlib/GroupTheory/GroupAction/Ring.lean,Mathlib/GroupTheory/GroupAction/SubMulAction.lean,Mathlib/GroupTheory/MonoidLocalization.lean,Mathlib/GroupTheory/Submonoid/Center.lean,Mathlib/LinearAlgebra/PiTensorProduct.lean,Mathlib/RingTheory/Ideal/Quotient.lean,Mathlib/RingTheory/TensorProduct/Basic.lean,Mathlib/Topology/ContinuousFunction/ContinuousMapZero.lean,Mathlib/Topology/ContinuousFunction/StoneWeierstrass.lean,Mathlib/Topology/ContinuousFunction/ZeroAtInfty.lean |
27 |
15 |
['Parcly-Taxel', 'astrainfinita', 'jcommelin', 'leanprover-bot'] |
nobody |
687-8176 1 year ago |
741-24684 741 days ago |
1-47913 1 day |
| 7932 |
eric-wieser author:eric-wieser |
refactor(Algebra/TrivSqZeroExt): replace with a structure |
This is dogfooding my claim that "one-field structures are the lesser evil in Lean 4".
This runs into the `simp [(stupid_parens)]` bug; or rather, a particular nasty instance of it where the offending simp call is inside `@[simps]`.
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebra
awaiting-CI
label:t-algebra$ |
155/73 |
Mathlib/Algebra/DualNumber.lean,Mathlib/Algebra/TrivSqZeroExt.lean,Mathlib/Logic/Equiv/TransferInstance.lean,Mathlib/Topology/Instances/TrivSqZeroExt.lean |
4 |
1 |
['github-actions'] |
nobody |
687-8176 1 year ago |
unknown |
0-0 0 seconds |
| 7962 |
eric-wieser author:eric-wieser |
feat: `DualNumber (Quaternion R)` as a `CliffordAlgebra` |
This provides a clifford algebra isomorphic to the dual quaternions
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
WIP
t-algebra
label:t-algebra$ |
307/7 |
Mathlib/Algebra/DualNumber.lean,Mathlib/Algebra/QuaternionBasis.lean,Mathlib/LinearAlgebra/CliffordAlgebra/Equivs.lean |
3 |
16 |
['github-actions', 'leanprover-community-mathlib4-bot'] |
nobody |
687-8176 1 year ago |
unknown |
0-0 0 seconds |
| 8364 |
thorimur author:thorimur |
feat: `refine?` |
This PR adds `refine? e`, which suggests replacing unsynthesized `_`'s in `e` with `?_` in order to make `refine e'` work:
```lean
example : Nat → Nat := by
refine? fun (_ : _) => _ -- Try this: refine fun (_ : _) => ?_
```
Note that this only suggests replacements for `_`'s present in the syntax; to create goals for implicit or instance arguments, the user is expected to use `refine'`.
---
I'm especially open to suggestions on the filename (currently `RefineFix`).
I'm also curious if this behaves as expected! Feel free to try it out "in real life" and comment here on edge cases.
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- [ ] depends on: #8503
[](https://gitpod.io/from-referrer/)
|
merge-conflict
blocked-by-other-PR
t-meta
|
684/5 |
Mathlib.lean,Mathlib/Lean/CoreM.lean,Mathlib/Lean/Elab/Tactic/ElabTerm.lean,Mathlib/Lean/Elab/Term.lean,Mathlib/Tactic.lean,Mathlib/Tactic/RefineFix.lean,Mathlib/Util/Delaborators.lean,Mathlib/Util/Syntax.lean,test/RefineFix.lean |
9 |
5 |
['j-loreaux', 'leanprover-community-mathlib4-bot', 'thorimur'] |
nobody |
687-8176 1 year ago |
942-28310 942 days ago |
6-59892 6 days |
| 3575 |
Kha author:Kha |
perf: selectively enable precompilation |
---
This is an initial performance test on Linux. TODO:
- [ ] test on macOS and Windows as well
- [ ] adapt caching |
merge-conflict
WIP
|
3/0 |
lakefile.lean |
1 |
21 |
['Kha', 'kim-em', 'leanprover-bot', 'tydeu'] |
nobody |
687-8175 1 year ago |
unknown |
0-0 0 seconds |
| 4771 |
thorimur author:thorimur |
feat: Backtrack minimize |
Utilities for backtracking in order to attain a minimum according to some arbitrary notion of size when generating lists of parts and alternatives in alternating fashion. Motivated by minimizing the number of generated subgoals under apply-like actions on the goal.
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-meta
|
482/1 |
Mathlib/Tactic/Backtracking.lean,test/Backtracking.lean |
2 |
0 |
[] |
nobody |
687-8175 1 year ago |
unknown |
0-0 0 seconds |
| 4775 |
thorimur author:thorimur |
feat: `SubExpr` utilities |
This file contains utilities for handling positions in expressions, including folding over subexpressions along with their positions.
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
WIP
t-meta
|
148/0 |
Mathlib.lean,Mathlib/Lean/SubExpr.lean |
2 |
0 |
[] |
nobody |
687-8175 1 year ago |
unknown |
0-0 0 seconds |
| 4785 |
thorimur author:thorimur |
feat: ExprWithLevels |
This introduces `ExprWithLevels`, a means of emulating universe polymorphism for non-constants during metaprogramming. [Description pending]
- [ ] depends on: #4786
---
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- [ ] depends on: #abc [optional extra text]
- [ ] depends on: #xyz [optional extra text]
-->
[](https://gitpod.io/from-referrer/)
|
merge-conflict
blocked-by-other-PR
t-meta
|
491/1 |
Mathlib.lean,Mathlib/Lean/Meta/AppBuilder.lean,Mathlib/Lean/Meta/Basic.lean,Mathlib/Lean/Meta/ExprWithLevels.lean |
4 |
1 |
['kim-em'] |
nobody |
687-8175 1 year ago |
unknown |
0-0 0 seconds |
| 4871 |
j-loreaux author:j-loreaux |
feat: define the additive submonoid of positive elements in a star ordered ring |
This file defines the `AddSubmonoid` of nonegative elements `StarOrderedRing.positive R` in a star ordered ring `R` with carrier `{ x : R | 0 ≤ x }` (in fact, the definition only requires `OrderedAddCommMonoid R` to allow for other use cases, but it is primarily intended for `StarOrderedRing R`). Equivalently, this is the `AddSubmonoid` generated by the elements of the form `star s * s`. Even though this technically corresponds to the nonnegative elements, the "positive" terminology is standard throughout the literature (at least in C⋆-algebra theory and operator theory), so we choose to prefer that.
The advantage of using this over other definitions of positivity is that it allows us to unify several different concepts under a single umbrella. For example, one might be tempted to consider the collection of bounded linear operators on an Hilbert space and define positivity as `∀ x, 0 ≤ ⟪T x, x⟫`, but this doesn't generalize nicely to C⋆-algebras. Alternatively, one could define positivity as those self-adjoint elements with nonnegative spectrum, but this requires the algebra to be unital. Our definition herein conveniently sidesteps these issues.
---
Note: I declared the `AddMonoidWithOne` and `AddGroupWithOne` instances for `selfAdjoint R` separately because it made the proof of the latter easier.
- [x] depends on: #6229
- [x] depends on: #10209
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebra
awaiting-CI
label:t-algebra$ |
216/12 |
Mathlib.lean,Mathlib/Algebra/Order/Ring/CharZero.lean,Mathlib/Algebra/Star/Order.lean,Mathlib/Algebra/Star/Positive.lean,Mathlib/Algebra/Star/SelfAdjoint.lean,Mathlib/GroupTheory/Submonoid/Operations.lean |
6 |
28 |
['eric-wieser', 'j-loreaux', 'leanprover-community-mathlib4-bot'] |
nobody |
687-8175 1 year ago |
1099-80627 1099 days ago |
5-55287 5 days |
| 5133 |
kmill author:kmill |
feat: IntermediateField adjoin syntax for sets of elements |
Adds support for both `F⟮S⟯` and `F⟮α⟯`. The term `x` in `F⟮x⟯` is elaborated, and if it has type `Set _` the first interpretation is used, and otherwise the second is.
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
WIP
t-algebra
label:t-algebra$ |
110/55 |
Mathlib/FieldTheory/Adjoin.lean |
1 |
0 |
[] |
nobody |
687-8175 1 year ago |
1098-9301 1098 days ago |
0-20 20 seconds |
| 5912 |
ADedecker author:ADedecker |
feat(Analysis.Distribution.ContDiffMapSupportedIn): space of smooth maps with support in a fixed compact |
---
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PR is merged. Please leave a blank newline before the `---`, otherwise
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
WIP
t-analysis
|
513/13 |
Mathlib.lean,Mathlib/Analysis/Distribution/ContDiffMapSupportedIn.lean,Mathlib/Analysis/LocallyConvex/WithSeminorms.lean,Mathlib/Analysis/Seminorm.lean,Mathlib/Data/FunLike/Basic.lean,Mathlib/Data/Set/Function.lean,Mathlib/Topology/Algebra/Module/StrongTopology.lean,Mathlib/Topology/ContinuousFunction/Bounded.lean |
8 |
0 |
[] |
nobody |
687-8175 1 year ago |
unknown |
0-0 0 seconds |
| 6002 |
slerpyyy author:slerpyyy |
feat(Analysis.SpecialFunctions.Gaussian): add `integrable_fun_mul_exp_neg_mul_sq` |
If `f : ℝ → ℝ` is bounded by a polynomial, `fun x : ℝ => f x * exp (-b * x ^ 2)` is integrable.
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-analysis
|
26/0 |
Mathlib/Analysis/SpecialFunctions/Gaussian.lean |
1 |
3 |
['ocfnash', 'slerpyyy', 'urkud'] |
nobody |
687-8175 1 year ago |
1055-8537 1055 days ago |
9-71263 9 days |
| 6195 |
eric-wieser author:eric-wieser |
chore(RingTheory/TensorProduct): golf the `mul` definition |
---
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PR is merged. Please leave a blank newline before the `---`, otherwise
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- [x] depends on: #6211
- [x] depends on: #6187
[](https://gitpod.io/from-referrer/)
Strangely this causes a timeout downstream
|
merge-conflict
t-algebra
awaiting-CI
label:t-algebra$ |
4/29 |
Mathlib/RingTheory/TensorProduct.lean |
1 |
1 |
['leanprover-community-mathlib4-bot'] |
nobody |
687-8175 1 year ago |
unknown |
0-0 0 seconds |
| 6307 |
yuma-mizuno author:yuma-mizuno |
refactor(CategoryTheory/Monoidal): add whiskering operators |
We introduce whiskering operators. This allows us to introduce a simp-normal form for morphisms in monoidal categories. Rewriting into simp-normal forms is especially useful when combined with the coherence tactic.
---
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PR is merged. Please leave a blank newline before the `---`, otherwise
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- [ ] depends on: #xyz [optional extra text]
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- [x] depends on: #6420
- [x] depends on: #8191
- [x] depends on: #9988
- [x] depends on: #9991
- [x] depends on: #9995
- [x] depends on: #10061
- [x] depends on: #10078
- [x] depends on: #10898
- [x] depends on: #10912
- [x] depends on: #11223
[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-category-theory
|
325/280 |
Mathlib/Algebra/Category/ModuleCat/Adjunctions.lean,Mathlib/CategoryTheory/Bicategory/End.lean,Mathlib/CategoryTheory/Closed/Ideal.lean,Mathlib/CategoryTheory/Monoidal/Category.lean,Mathlib/CategoryTheory/Monoidal/Center.lean,Mathlib/CategoryTheory/Monoidal/Free/Basic.lean,Mathlib/CategoryTheory/Monoidal/Free/Coherence.lean,Mathlib/CategoryTheory/Monoidal/Functor.lean,Mathlib/CategoryTheory/Monoidal/FunctorCategory.lean,Mathlib/CategoryTheory/Monoidal/Limits.lean,Mathlib/CategoryTheory/Monoidal/Mon_.lean,Mathlib/CategoryTheory/Monoidal/NaturalTransformation.lean,Mathlib/CategoryTheory/Monoidal/Opposite.lean,Mathlib/CategoryTheory/Monoidal/Transport.lean,test/CategoryTheory/Coherence.lean |
15 |
38 |
['eric-wieser', 'github-actions', 'grunweg', 'jcommelin', 'kim-em', 'leanprover-community-mathlib4-bot', 'yuma-mizuno'] |
nobody |
687-8175 1 year ago |
825-60849 825 days ago |
60-84345 60 days |
| 6328 |
FR-vdash-bot author:FR-vdash-bot |
chore: make some instance about `Sub...Class` lower priority |
Many similar instances have been marked as lower priority. I'd like to see if this would make things faster.
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
WIP
t-algebra
awaiting-CI
label:t-algebra$ |
14/14 |
Mathlib/RingTheory/NonUnitalSubsemiring/Basic.lean,Mathlib/RingTheory/Subsemiring/Basic.lean,lean-toolchain |
3 |
1 |
['digama0'] |
nobody |
687-8175 1 year ago |
unknown |
0-0 0 seconds |
| 6330 |
astrainfinita author:astrainfinita |
chore: make some instance about `Sub...Class` higher priority than `Sub...` |
The opposite direction to #6328.
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
WIP
t-algebra
slow-typeclass-synthesis
label:t-algebra$ |
123/128 |
Mathlib/Algebra/Algebra/NonUnitalSubalgebra.lean,Mathlib/Algebra/Algebra/Subalgebra/Basic.lean,Mathlib/Algebra/Star/NonUnitalSubalgebra.lean,Mathlib/FieldTheory/IsAlgClosed/Basic.lean,Mathlib/FieldTheory/Subfield.lean,Mathlib/RingTheory/NonUnitalSubring/Basic.lean,Mathlib/RingTheory/NonUnitalSubsemiring/Basic.lean,Mathlib/RingTheory/Polynomial/Quotient.lean,Mathlib/RingTheory/Subring/Basic.lean,Mathlib/RingTheory/Subsemiring/Basic.lean,lean-toolchain |
11 |
13 |
['astrainfinita', 'digama0', 'leanprover-bot'] |
nobody |
687-8175 1 year ago |
unknown |
0-0 0 seconds |
| 6491 |
eric-wieser author:eric-wieser |
chore(Mathlib/Algebra/Hom/GroupAction): add `SMulHomClass.comp_smul` |
---
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PR is merged. Please leave a blank newline before the `---`, otherwise
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebra
label:t-algebra$ |
24/10 |
Mathlib/Algebra/Hom/GroupAction.lean |
1 |
0 |
[] |
nobody |
687-8175 1 year ago |
958-80575 958 days ago |
83-76369 83 days |
| 7076 |
grunweg author:grunweg |
feat: define measure zero subsets of a manifold |
A topological manifold has no canonical measure, but there is a canonical notion of measure zero subsets.
We show that these are closed under subsets and countable unions (hence define a filter, the almost everywhere filter)
and that a closed nowhere dense has empty interior.
This is necessary for stating the general version of Sard's theorem (in finite dimensions), and a first step towards its proof.
This code was written at LftCM 2023. Thanks for @fpvandoorn for mentoring me! :heart:
---
Unresolved questions/looking for feedback
- Is "measure zero" a good name or would "null set" be better? I tend towards the former, but welcome input from a measure theorist (which I'm not).
- What is the correct definition? One could also define "measure zero" using any `IsOpenPosMeasure` on the charted space.
I think all results in this file still hold then, but for applications (e.g., Sard's theorem), this might be too general.
- define custom notation, similar to the a.e. filter on a measure space? (We could include $J$ instead of $\mu$.)
- what's the right syntax for formulas in docstrings --- use LaTeX or backticks? I don't know how to preview the generated docs, the guidelines are a bit ambiguous for me.
|
merge-conflict
WIP
t-differential-geometry
t-measure-probability
|
165/0 |
Mathlib.lean,Mathlib/Geometry/Manifold/MeasureZero.lean,docs/references.bib |
3 |
27 |
['ADedecker', 'github-actions', 'grunweg', 'mo271', 'sgouezel'] |
ADedecker assignee:ADedecker |
687-8175 1 year ago |
842-5484 842 days ago |
43-56110 43 days |
| 3757 |
thorimur author:thorimur |
feat: config options for `fail_if_no_progress` |
This PR creates config options for `fail_if_no_progress` that allow the user to tweak what exactly counts as "progress". This includes whether to use defeq or `BEq`, what transparency to use, and which parts of the goal and local context to check.
It also splits off the comparison functionality into `Mathlib.Lean.Meta.Compare`, which provides fully configurable comparison functions for common complex metaprogramming types not specific to `fail_if_no_progress`. These types are `Expr`, `LocalDecl`, `LocalContext`, `MetavarDecl`, `MVarId`, and `List MVarId`.
---
See [zulip](https://leanprover.zulipchat.com/#narrow/stream/287929-mathlib4/topic/progress.20on.20fail_if_no_progress) for a couple review questions.
Status update: this PR is now basically done, save for some extra tests which should probably be included.
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
WIP
t-meta
|
603/54 |
Mathlib.lean,Mathlib/Lean/Meta.lean,Mathlib/Lean/Meta/Compare.lean,Mathlib/Tactic/FailIfNoProgress.lean,test/fail_if_no_progress.lean |
5 |
38 |
['alexjbest', 'github-actions', 'joneugster', 'kim-em', 'thorimur'] |
nobody |
687-8174 1 year ago |
1143-59256 1143 days ago |
0-15 15 seconds |
| 12353 |
thorimur author:thorimur |
feat: `conv%` |
This PR introduces `conv% e => tac`, along with `simp%`, `norm_num%`, and `push_neg%`, which are defined in terms of `conv%`.
It also introduces `conv%?` (and `simp%?`, `norm_num%?`, and `push_neg%?`) as shortcuts for `show_term ...`.
This is a relatively straightforward refactor of code already present in the implementation of `#conv`, and otherwise relies entirely on simple macros.
This PR also introduces some modifications to existing command syntax for `#conv`, `#simp`, and `#norm_num`:
* The syntax for `#conv` was `#conv tac => e`; however, this is inconsistent with the tactic syntax, and so this has been flipped to `#conv e => tac`. Likewise, `conv%` uses the same (new) syntax `conv% e => tac`.
* `#simp` and `#norm_num` separated their config and `only` syntax from the expression by an optional `=>` (for `#simp`) and an optional `:` (for `#norm_num`) (e.g. `#simp only [lem] => e`). These have both been replaced with an optional`on` (e.g. `#simp only [lem] on e`) which is also used for `simp%` and `norm_num%`.
Although `#whnf` is implemented in terms of `#conv`, this PR doesn't introduce `whnf%` in the same way, as that's probably better off being implemented directly instead of through `conv`.
---
WIP: needs tests.
[](https://gitpod.io/from-referrer/)
|
merge-conflict
WIP
t-meta
|
131/32 |
Mathlib/Tactic/Conv.lean,Mathlib/Tactic/NormNum/Core.lean,Mathlib/Tactic/PushNeg.lean,docs/Conv/Guide.lean |
4 |
0 |
[] |
nobody |
682-70884 1 year ago |
786-22526 786 days ago |
0-17 17 seconds |
| 13852 |
FR-vdash-bot author:FR-vdash-bot |
perf: skip some typeclasses in TC search |
---
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- [ ] depends on: #7873
[](https://gitpod.io/from-referrer/)
|
merge-conflict
slow-typeclass-synthesis
blocked-by-other-PR
|
45/33 |
Mathlib/Algebra/Group/Defs.lean,Mathlib/Algebra/Ring/Defs.lean,Mathlib/RingTheory/Norm.lean |
3 |
21 |
['MichaelStollBayreuth', 'astrainfinita', 'github-actions', 'leanprover-bot', 'leanprover-community-mathlib4-bot'] |
nobody |
682-64564 1 year ago |
unknown |
0-0 0 seconds |
| 7903 |
urkud author:urkud |
feat: define `UnboundedSpace` |
---
The new instances generate some timeouts, and I don't understand why.
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
help-wanted
t-topology
|
111/59 |
Mathlib/Analysis/BoxIntegral/Basic.lean,Mathlib/Analysis/Normed/Module/Basic.lean,Mathlib/Topology/Bornology/Basic.lean,Mathlib/Topology/Bornology/Constructions.lean,Mathlib/Topology/MetricSpace/Bounded.lean,Mathlib/Topology/MetricSpace/GromovHausdorffRealized.lean |
6 |
1 |
['github-actions'] |
nobody |
679-82553 1 year ago |
unknown |
0-0 0 seconds |
| 15679 |
adomani author:adomani |
test: refactor in CI |
---
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For details on the "pull request lifecycle" in mathlib, please see:
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In particular, note that most reviewers will only notice your PR
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
WIP
|
213/5 |
.github/workflows/bors.yml,.github/workflows/build.yml,.github/workflows/build.yml.in,.github/workflows/build_fork.yml,Mathlib.lean,Mathlib/Algebra/Homology/HomotopyCategory/SingleFunctors.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Affine.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Order.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Unique.lean,Mathlib/Analysis/Convex/Combination.lean,Mathlib/Analysis/Convex/Segment.lean,Mathlib/CategoryTheory/Bicategory/Adjunction.lean,Mathlib/CategoryTheory/Monoidal/Braided/Basic.lean,Mathlib/CategoryTheory/Monoidal/Center.lean,Mathlib/GroupTheory/Coxeter/Matrix.lean,Mathlib/Order/Filter/Cocardinal.lean,Mathlib/Order/UpperLower/Basic.lean,Mathlib/TestRefactor.lean,Refactor/Main.lean,lakefile.lean,lean-toolchain |
21 |
1 |
['github-actions'] |
nobody |
674-51729 1 year ago |
676-61171 676 days ago |
0-8 8 seconds |
| 7565 |
shuxuezhuyi author:shuxuezhuyi |
feat(Topology/Algebra/Order): extend homeomorphism of `Ioo` to `Icc` |
We extend the homeomorphisms between open intervals to homeomorphisms between the closed intervals.
---
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- [ ] depends on: #7018
- [ ] depends on: #7351
- [ ] depends on: #7564
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-topology
blocked-by-other-PR
t-order
|
389/5 |
Mathlib.lean,Mathlib/Data/Set/Intervals/Image.lean,Mathlib/Order/Directed.lean,Mathlib/Topology/Algebra/Order/IccExtendFromIoo.lean,Mathlib/Topology/Algebra/Order/IntermediateValue.lean |
5 |
1 |
['leanprover-community-mathlib4-bot'] |
nobody |
673-1829 1 year ago |
984-69108 984 days ago |
0-222 3 minutes |
| 10629 |
madvorak author:madvorak |
feat: List.cons_sublist_append_iff_right |
---
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PR is merged. Please leave a blank newline before the `---`, otherwise
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-data
|
11/0 |
Mathlib/Data/List/Basic.lean |
1 |
1 |
['eric-wieser'] |
nobody |
673-1720 1 year ago |
799-10557 799 days ago |
53-73442 53 days |
| 9973 |
Ruben-VandeVelde author:Ruben-VandeVelde |
feat: polynomials formed by lists |
From https://github.com/leanprover-community/mathlib/pull/15476
---
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PR is merged. Please leave a blank newline before the `---`, otherwise
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[](https://gitpod.io/from-referrer/)
|
please-adopt
merge-conflict
t-data
|
311/0 |
Mathlib.lean,Mathlib/Data/Polynomial/OfList.lean |
2 |
0 |
[] |
nobody |
673-1253 1 year ago |
unknown |
0-0 0 seconds |
| 12926 |
joelriou author:joelriou |
feat(CategoryTheory): the monoidal category structure induced by a monoidal functor |
In this PR, given a monoidal functor `F : MonoidalFunctor C D`, we define a monoidal category structure on the category `InducedCategory D F.obj`, which has the "same" objects as `C`, but the morphisms between `X` and `Y` identify to `F.obj X ⟶ F.obj Y`.
---
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PR is merged. Please leave a blank newline before the `---`, otherwise
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
WIP
t-category-theory
|
105/0 |
Mathlib.lean,Mathlib/CategoryTheory/Monoidal/Induced.lean |
2 |
3 |
['eric-wieser', 'github-actions', 'joelriou'] |
nobody |
672-86052 1 year ago |
764-4857 764 days ago |
0-10 10 seconds |
| 12869 |
adomani author:adomani |
feat: linter and script for `theorem` vs `lemma` |
This PR contains a linter for flagging doc-string-less `theorem`s, as well as a bash script that, once the linter ran on Mathlib, automatically replaces every linter-offending `theorem` by `lemma`.
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-linter
awaiting-author
|
106/0 |
Mathlib.lean,Mathlib/Tactic.lean,Mathlib/Tactic/Linter/ThmLemma.lean,scripts/thmLemma.sh |
4 |
13 |
['adomani', 'github-actions', 'grunweg', 'joneugster'] |
nobody |
672-72816 1 year ago |
727-6911 727 days ago |
38-16364 38 days |
| 14563 |
awueth author:awueth |
feat: if-then-else of exclusive or statement |
---
<!-- The text above the `---` will become the commit message when your
PR is merged. Please leave a blank newline before the `---`, otherwise
GitHub will format the text above it as a title.
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If `¬(P ∧ Q)` then `ite (P ∨ Q) a 1 = (ite P a 1) * (ite Q a 1)`
[](https://gitpod.io/from-referrer/)
|
awaiting-author
t-algebra
new-contributor
label:t-algebra$ |
5/0 |
Mathlib/Algebra/Group/Basic.lean |
1 |
3 |
['eric-wieser', 'github-actions', 'kim-em'] |
nobody |
672-568 1 year ago |
702-47550 702 days ago |
6-38745 6 days |
| 14308 |
grhkm21 author:grhkm21 |
feat(Algebra/Category): Direct construction of colimits in algebraic categories |
(Below I only write about colimits since that's what I'm familiar with after working on it the last few days, but maybe it's the same for other categorical constructions)
**Main feature:** Construct colimits in `AddCommGrp`/`ModuleCat`/`FGModuleCat`(/...) directly as coequalizer (i.e. cokernel i.e. quotient) of two maps, allowing one to say $\coprod_j M_j \cong *$
Currently, if you look at how colimits are constructed for [AddCommGrp](https://github.com/leanprover-community/mathlib4/blob/master/Mathlib/Algebra/Category/Grp/Colimits.lean#L69-L92), you see this massive block of code of all relations generating the quotient relation, but that's kind of bad, you can't say anything concretely about it.
Also as noted in the TODOs of a few files:
```
TODO:
In fact, in `ModuleCat R` there is a much nicer model of colimits as quotients
of finitely supported functions, and we really should implement this as well.
```
I wrote it down [here](https://leanprover.zulipchat.com/#narrow/stream/287929-mathlib4/topic/Braided.20left.20rigid.20categories.20are.20right.20rigid/near/447490672), and **have formalised it** in a small file already [here](https://gist.github.com/grhkm21/5b2d938753c0ce0900d21c93a39e3b7d#file-addcommgrpcolimits-lean-L162-L163) (I also have a `ModuleCat` version, and proving existence of colimits in `FGModuleCat` from it).
Usually I will try to merge the file into Mathlib directly (preferably in one sitting), but I have been trying for a while now and been struggling. One issue is I am struggling to understand universes, which I asked [here](https://leanprover.zulipchat.com/#narrow/stream/113489-new-members/topic/Universe.20constraints!/near/448049266) along with many other places. A more concrete issue is that
- [ ] FGModuleCat (and `FullSubcategory` in general) requires morphism and objects to be on the same universe, whereas generally `Category.{v, u}` don't.
So that seems to limit what I can express, and maybe I have to fix it first.
Here are a few more TODOs just so I don't forget, probably done before the one above:
- [ ] Generalise `cokernelIsoQuotient` to other categories.
- [ ] Also prove `coproductIsoDirectSum`
- [ ] Also prove coequalizer (f + h) (g + h) ~ coequalizer f g ~ cokernel (f - g) 0
- [ ] Fix typo `FGModuleCatCat`
If anyone is familiar with universe stuff and can answer my many questions that'll be great too. I need help understanding just [these five lines](https://github.com/leanprover-community/mathlib4/blob/master/Mathlib/Algebra/Category/Grp/Colimits.lean#L267-L271) |
merge-conflict
WIP
t-algebra
label:t-algebra$ |
10/3 |
Mathlib/Algebra/DirectSum/Module.lean,Mathlib/LinearAlgebra/FreeModule/Basic.lean |
2 |
1 |
['github-actions'] |
nobody |
671-84837 1 year ago |
717-33114 717 days ago |
0-23 23 seconds |
| 13010 |
ADedecker author:ADedecker |
feat: relax universe constraint in stoneCechExtend |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-topology
|
33/3 |
Mathlib/Topology/StoneCech.lean |
1 |
2 |
['ADedecker', 'erdOne'] |
nobody |
671-84634 1 year ago |
unknown |
0-0 0 seconds |
| 12411 |
adomani author:adomani |
feat: more linting of cdots |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-linter
|
953/617 |
Archive/Wiedijk100Theorems/CubingACube.lean,Mathlib.lean,Mathlib/Algebra/Category/GroupCat/Colimits.lean,Mathlib/Algebra/Homology/Exact.lean,Mathlib/Algebra/Homology/LocalCohomology.lean,Mathlib/Algebra/Lie/Nilpotent.lean,Mathlib/Algebra/Module/PID.lean,Mathlib/Algebra/Module/Submodule/Bilinear.lean,Mathlib/Algebra/Module/Torsion.lean,Mathlib/Algebra/MonoidAlgebra/Basic.lean,Mathlib/Algebra/Order/Archimedean.lean,Mathlib/AlgebraicGeometry/StructureSheaf.lean,Mathlib/Analysis/Analytic/Composition.lean,Mathlib/Analysis/Calculus/Deriv/Slope.lean,Mathlib/Analysis/Calculus/InverseFunctionTheorem/ApproximatesLinearOn.lean,Mathlib/Analysis/Calculus/LocalExtr/Basic.lean,Mathlib/Analysis/Calculus/TangentCone.lean,Mathlib/Analysis/InnerProductSpace/Basic.lean,Mathlib/Analysis/InnerProductSpace/Projection.lean,Mathlib/Analysis/MeanInequalitiesPow.lean,Mathlib/Analysis/Normed/Group/ControlledClosure.lean,Mathlib/Analysis/Normed/Group/Pointwise.lean,Mathlib/Analysis/NormedSpace/FiniteDimension.lean,Mathlib/Analysis/NormedSpace/HahnBanach/Separation.lean,Mathlib/Analysis/NormedSpace/Multilinear/Basic.lean,Mathlib/Analysis/NormedSpace/Star/Basic.lean,Mathlib/Analysis/NormedSpace/Star/Multiplier.lean,Mathlib/Analysis/NormedSpace/lpSpace.lean,Mathlib/Analysis/PSeries.lean,Mathlib/Analysis/RCLike/Basic.lean,Mathlib/Analysis/SpecialFunctions/Complex/Arg.lean,Mathlib/Analysis/SpecialFunctions/Log/Base.lean,Mathlib/Analysis/SpecialFunctions/Log/Monotone.lean,Mathlib/Analysis/SpecialFunctions/Pow/NNReal.lean,Mathlib/Analysis/SpecialFunctions/Pow/Real.lean,Mathlib/Analysis/SpecificLimits/Normed.lean,Mathlib/CategoryTheory/Abelian/Basic.lean,Mathlib/CategoryTheory/Action.lean,Mathlib/CategoryTheory/Bicategory/NaturalTransformation.lean,Mathlib/CategoryTheory/Category/Cat/Limit.lean,Mathlib/CategoryTheory/Category/PartialFun.lean,Mathlib/CategoryTheory/Category/TwoP.lean,Mathlib/CategoryTheory/Closed/Cartesian.lean,Mathlib/CategoryTheory/Functor/Flat.lean,Mathlib/CategoryTheory/Galois/GaloisObjects.lean,Mathlib/CategoryTheory/Limits/Over.lean,Mathlib/CategoryTheory/Limits/VanKampen.lean,Mathlib/CategoryTheory/Localization/Predicate.lean,Mathlib/CategoryTheory/Monad/Coequalizer.lean,Mathlib/CategoryTheory/Monad/Monadicity.lean,Mathlib/CategoryTheory/Pi/Basic.lean,Mathlib/CategoryTheory/Sites/DenseSubsite.lean,Mathlib/CategoryTheory/Sites/InducedTopology.lean,Mathlib/CategoryTheory/Subobject/Lattice.lean,Mathlib/Combinatorics/Additive/PluenneckeRuzsa.lean,Mathlib/Combinatorics/HalesJewett.lean,Mathlib/Combinatorics/SimpleGraph/Regularity/Chunk.lean,Mathlib/Computability/Reduce.lean,Mathlib/Data/Holor.lean,Mathlib/Data/Nat/Multiplicity.lean,Mathlib/Data/Nat/Pairing.lean,Mathlib/Data/Real/Cardinality.lean,Mathlib/Data/Real/Hyperreal.lean,Mathlib/Data/Real/Irrational.lean,Mathlib/Data/Set/Card.lean,Mathlib/Dynamics/Circle/RotationNumber/TranslationNumber.lean,Mathlib/FieldTheory/Finite/Polynomial.lean,Mathlib/FieldTheory/Minpoly/IsIntegrallyClosed.lean,Mathlib/FieldTheory/PerfectClosure.lean,Mathlib/FieldTheory/RatFunc.lean,Mathlib/Geometry/RingedSpace/OpenImmersion.lean,Mathlib/Geometry/RingedSpace/PresheafedSpace/Gluing.lean,Mathlib/GroupTheory/GroupAction/Quotient.lean,Mathlib/GroupTheory/Nilpotent.lean,Mathlib/GroupTheory/Perm/Cycle/Factors.lean,Mathlib/GroupTheory/Perm/Finite.lean,Mathlib/GroupTheory/SpecificGroups/Quaternion.lean,Mathlib/GroupTheory/Sylow.lean,Mathlib/LinearAlgebra/Dimension/RankNullity.lean,Mathlib/LinearAlgebra/Dual.lean,Mathlib/LinearAlgebra/LinearIndependent.lean,Mathlib/LinearAlgebra/LinearPMap.lean,Mathlib/LinearAlgebra/Matrix/Charpoly/Coeff.lean,Mathlib/LinearAlgebra/Prod.lean,Mathlib/LinearAlgebra/QuadraticForm/Complex.lean,Mathlib/LinearAlgebra/Reflection.lean,Mathlib/MeasureTheory/Constructions/Pi.lean,Mathlib/MeasureTheory/Covering/VitaliFamily.lean,Mathlib/MeasureTheory/Measure/Haar/Basic.lean,Mathlib/MeasureTheory/Measure/MeasureSpace.lean,Mathlib/MeasureTheory/Measure/Typeclasses.lean,Mathlib/MeasureTheory/OuterMeasure/Basic.lean,Mathlib/ModelTheory/Skolem.lean,Mathlib/NumberTheory/Dioph.lean,Mathlib/NumberTheory/LegendreSymbol/Basic.lean,Mathlib/NumberTheory/Padics/Hensel.lean,Mathlib/NumberTheory/Padics/PadicNumbers.lean,Mathlib/NumberTheory/Padics/RingHoms.lean,Mathlib/NumberTheory/RamificationInertia.lean,Mathlib/RingTheory/AdjoinRoot.lean |
147 |
2 |
['adomani', 'leanprover-bot'] |
nobody |
671-84497 1 year ago |
unknown |
0-0 0 seconds |
| 12279 |
casavaca author:casavaca |
WIP: feat: Holder's inequality n-ary |
---
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<!-- This is https://artofproblemsolving.com/wiki/index.php/H%C3%B6lder%27s_Inequality -->
- [x] depends on #12291
[](https://gitpod.io/from-referrer/)
|
merge-conflict
WIP
t-analysis
|
129/0 |
Mathlib/Analysis/MeanInequalities.lean,Mathlib/Analysis/SpecialFunctions/Pow/Real.lean |
2 |
13 |
['github-actions'] |
nobody |
671-84482 1 year ago |
788-59187 788 days ago |
0-50185 13 hours |
| 12093 |
ADedecker author:ADedecker |
feat: tweak the definition of semicontinuity to behave better in nonlinear orders |
Summary of the changes:
- change definitions to make [lowerSemicontinuous_iff_isClosed_preimage](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Topology/Semicontinuous.html#lowerSemicontinuous_iff_isClosed_preimage) true without assuming `LinearOrder`, so that semicontinuity corresponds to continuity for lower/upper order topology on the codomain. See discussion on [Zulip](https://leanprover.zulipchat.com/#narrow/stream/116395-maths/topic/Semicontinuity.20definition.20for.20non-linear.20orders/near/432898278)
- add new `iff` lemmas for unfolding the definition
- add `iff` lemmas with the old definition in the linearly ordered case
- some basic lemmas need to be changed in an easy way
- minimize assumptions for continuity => semicontinuity
- prove the semicontinuity criterion for indicators using "preimage of Ici/Iic" instead of a direct proof, because the proof is more natural (especially because we have no `filter_upwards` for `Frequently`)
- in the rest of the file (which is about linear orders anyway), we don't touch the statements and just rewrite to the old definition. Some of these could be generalized, but we keep that for a later PR.
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
WIP
t-topology
|
274/130 |
Mathlib/Analysis/BoundedVariation.lean,Mathlib/MeasureTheory/Integral/FundThmCalculus.lean,Mathlib/Order/Filter/Basic.lean,Mathlib/Topology/Semicontinuous.lean |
4 |
0 |
[] |
nobody |
671-84444 1 year ago |
unknown |
0-0 0 seconds |
| 11520 |
thorimur author:thorimur |
feat: `linting_rules` and deprecated syntax |
---
Experimental. WIP. Might not be performance-viable.
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PR is merged. Please leave a blank newline before the `---`, otherwise
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- [ ] depends on: #11519
[](https://gitpod.io/from-referrer/)
|
merge-conflict
blocked-by-other-PR
t-meta
|
1016/0 |
Mathlib.lean,Mathlib/Command/Linter.lean,Mathlib/Command/Linter/Deprecated.lean,Mathlib/Command/Linter/LintingRules.lean,Mathlib/Command/SyntaxRules.lean,Mathlib/Command/SyntaxRules/Attr.lean,Mathlib/Command/SyntaxRules/Elab.lean,Mathlib/Command/SyntaxRules/Header.lean,Mathlib/Command/SyntaxRules/Util.lean,Mathlib/Tactic/Common.lean,scripts/noshake.json |
11 |
11 |
['leanprover-bot', 'leanprover-community-mathlib4-bot', 'thorimur'] |
nobody |
671-84434 1 year ago |
unknown |
0-0 0 seconds |
| 11519 |
thorimur author:thorimur |
feat: `syntax_rules` |
---
Experimental. WIP.
<!-- The text above the `---` will become the commit message when your
PR is merged. Please leave a blank newline before the `---`, otherwise
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-meta
|
485/0 |
Mathlib.lean,Mathlib/Command/SyntaxRules.lean,Mathlib/Command/SyntaxRules/Attr.lean,Mathlib/Command/SyntaxRules/Elab.lean,Mathlib/Command/SyntaxRules/Header.lean,Mathlib/Command/SyntaxRules/Util.lean,scripts/noshake.json |
7 |
0 |
[] |
nobody |
671-84420 1 year ago |
unknown |
0-0 0 seconds |
| 11393 |
mcdoll author:mcdoll |
feat(Analysis/Distribution/SchwartzSpace): The Heine-Borel property |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
WIP
t-analysis
|
688/3 |
Mathlib.lean,Mathlib/Analysis/Distribution/SchwartzSpace.lean,Mathlib/Topology/Constructions.lean,Mathlib/Topology/UniformSpace/Ascoli.lean,Mathlib/Topology/UniformSpace/Pi.lean,Mathlib/Topology/UniformSpace/UniformConvergenceTopology.lean |
6 |
0 |
[] |
nobody |
671-84410 1 year ago |
unknown |
0-0 0 seconds |
| 9444 |
erdOne author:erdOne |
feat: Various instances regarding `𝓞 K`. |
---
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PR is merged. Please leave a blank newline before the `---`, otherwise
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
help-wanted
t-number-theory
|
27/0 |
Mathlib/NumberTheory/NumberField/Basic.lean,Mathlib/RingTheory/IntegralClosure.lean |
2 |
9 |
['erdOne', 'leanprover-bot', 'mattrobball', 'riccardobrasca', 'xroblot'] |
nobody |
671-84329 1 year ago |
893-83756 893 days ago |
1-62292 1 day |
| 8931 |
hmonroe author:hmonroe |
feat(Computable): define P, NP, and NP-complete |
Revised to focus on languages that are binary strings, given the issue of non-acceptable encodings of unspecified Types
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-computability
awaiting-author
|
381/5 |
Mathlib.lean,Mathlib/Computability/Complexity copy.lean,Mathlib/Computability/Complexity.lean,Mathlib/Computability/Encoding.lean,Mathlib/Computability/TMComputable.lean,Mathlib/Computability/TuringMachine.lean,Mathlib/Computability/halting example.lean,docs/references.bib |
8 |
3 |
['fpvandoorn', 'github-actions', 'hmonroe'] |
nobody |
671-84294 1 year ago |
828-7276 828 days ago |
93-64275 93 days |
| 10641 |
newell author:newell |
feat(Topology/MetricSpace/WellSpaced): Define sets that are *well-spaced*. |
Create a new file `Mathlib.Topology.MetricSpace.WellSpaced` that contains definitions of sets which are in some sense *well-spaced*.
Some examples are Delone and Meyer sets, which find applications in Quasicrystals and Coding Theory, among others.
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-topology
|
1073/14 |
Mathlib.lean,Mathlib/Analysis/LocallyConvex/WithSeminorms.lean,Mathlib/Topology/EMetricSpace/Basic.lean,Mathlib/Topology/GMetric/Basic.lean,Mathlib/Topology/GMetric/GInfSep.lean,Mathlib/Topology/GMetric/WellSpaced.lean,Mathlib/Topology/GPseudoMetric/Basic.lean,Mathlib/Topology/MetricSpace/WellSpaced.lean |
8 |
1 |
['edegeltje'] |
nobody |
671-84262 1 year ago |
unknown |
0-0 0 seconds |
| 10387 |
adomani author:adomani |
feat(Tactic/ComputeDegree): add `polynomial` tactic |
Introducing the `polynomial` tactic, summing up `compute_degree, monicity` and adding support for `leadingCoeff`.
This is more of a proof of concept: if there is interest in this tactic, I can polish it up.
See [this Zulip discussion](https://leanprover.zulipchat.com/#narrow/stream/113489-new-members/topic/Compute.20roots.20of.20polynomials/near/420713624).
---
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[](https://gitpod.io/from-referrer/)
|
WIP
RFC
t-meta
|
24/0 |
Mathlib/Tactic/ComputeDegree.lean |
1 |
0 |
[] |
nobody |
671-84116 1 year ago |
715-67146 715 days ago |
143-73801 143 days |
| 9154 |
FR-vdash-bot author:FR-vdash-bot |
feat: `npow` / `nsmul` / `Nat.cast`/ `zpow` / `zsmul` implemented using `Nat.binaryRec` |
---
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- [ ] depends on: https://github.com/leanprover/lean4/pull/3756
[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-algebra
blocked-by-other-PR
label:t-algebra$ |
168/359 |
Mathlib/Algebra/Group/Defs.lean,Mathlib/Computability/PartrecCode.lean,Mathlib/Computability/Primrec.lean,Mathlib/Data/Bool/Basic.lean,Mathlib/Data/Int/Bitwise.lean,Mathlib/Data/Nat/Bits.lean,Mathlib/Data/Nat/Bitwise.lean,Mathlib/Data/Nat/Digits.lean,Mathlib/Data/Nat/EvenOddRec.lean,Mathlib/Data/Nat/Fib/Basic.lean,Mathlib/Data/Nat/Multiplicity.lean,Mathlib/Data/Nat/Order/Basic.lean,Mathlib/Data/Nat/Parity.lean,Mathlib/Data/Nat/Size.lean,Mathlib/Data/Num/Lemmas.lean,Mathlib/Init/Data/Nat/Bitwise.lean,Mathlib/LinearAlgebra/TensorProduct/Graded/Internal.lean,Mathlib/Logic/Basic.lean,Mathlib/Logic/Denumerable.lean,Mathlib/Logic/Encodable/Basic.lean,Mathlib/Logic/Equiv/Basic.lean,Mathlib/Logic/Equiv/Nat.lean,lake-manifest.json,lakefile.lean,test/zmod.lean |
25 |
7 |
['astrainfinita', 'eric-wieser', 'kim-em', 'leanprover-community-mathlib4-bot'] |
nobody |
671-83907 1 year ago |
unknown |
0-0 0 seconds |
| 6603 |
tydeu author:tydeu |
feat: automatically try `cache get` before build |
---
A quick proof-of-concept. With this, `lake build` will always try `cache get` before building mathlib.
[](https://gitpod.io/from-referrer/)
|
merge-conflict
WIP
CI
|
29/0 |
lakefile.lean |
1 |
3 |
['kim-em', 'tydeu'] |
nobody |
671-83881 1 year ago |
1026-14004 1026 days ago |
11-2031 11 days |
| 6058 |
apurvnakade author:apurvnakade |
feat: duality theory for cone programs |
This PR tracks the development of duality theory for cone programs.
[Reference](https://ti.inf.ethz.ch/ew/courses/ApproxSDP09/notes/conelp.pdf)
---
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[](https://gitpod.io/from-referrer/)
- [x] depends on: #6059
- [ ] define direct sum of cones
- [ ] weak duality
- [ ] regular duality
- [ ] slater condition
- [ ] strong duality |
merge-conflict
WIP
t-analysis
|
159/0 |
Mathlib.lean,Mathlib/Analysis/Convex/Cone/ConeLinearProgram.lean |
2 |
1 |
['leanprover-community-mathlib4-bot'] |
nobody |
671-83826 1 year ago |
1061-34334 1061 days ago |
0-9 9 seconds |
| 6449 |
ADedecker author:ADedecker |
feat: functions with finite fibers |
---
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This has been discussed before on [Zulip](https://leanprover.zulipchat.com/#narrow/stream/217875-Is-there-code-for-X.3F/topic/.E2.9C.94.20Cofinite.20maps.3F) and it came up again while working with @kkytola's student. As explained in the docstring, we could absolutely just use `Tendsto f cofinite cofinite` all the time, but (1) we lack some API for it (2) the API is nicer to setup if we have a separate def (e.g for dot notation) and (3) mentioning filters for such a simple concept is really not beginner-friendly.
I'm not sure at all about the name.
[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-topology
|
203/0 |
Mathlib.lean,Mathlib/Logic/Function/HasFiniteFibers.lean,Mathlib/Order/Filter/Basic.lean,Mathlib/Order/Filter/Cofinite.lean |
4 |
14 |
['ADedecker', 'YaelDillies', 'alexjbest', 'kkytola'] |
nobody |
671-83820 1 year ago |
1037-81874 1037 days ago |
6-70040 6 days |
| 8100 |
digama0 author:digama0 |
feat: add support for other types in norm_num |
---
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PR is merged. Please leave a blank newline before the `---`, otherwise
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-meta
|
177/12 |
Mathlib/Tactic/NormNum/Basic.lean,Mathlib/Tactic/NormNum/Eq.lean,Mathlib/Tactic/NormNum/Ineq.lean,Mathlib/Tactic/NormNum/Pow.lean,Mathlib/Tactic/NormNum/Result.lean,Mathlib/Tactic/NormNum/Structural.lean,test/norm_num.lean |
7 |
4 |
['dwrensha'] |
nobody |
671-83688 1 year ago |
unknown |
0-0 0 seconds |
| 13163 |
erdOne author:erdOne |
feat(.vscode/module-docstring.code-snippet): Prevent auto-complete from firing on `do` |
---
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[](https://gitpod.io/from-referrer/)
|
awaiting-author
t-meta
|
5/0 |
.vscode/module-docstring.code-snippets |
1 |
5 |
['erdOne', 'grunweg', 'robertylewis', 'trivial1711'] |
nobody |
671-82430 1 year ago |
704-10222 704 days ago |
50-78405 50 days |
| 15585 |
FR-vdash-bot author:FR-vdash-bot |
test make `HasQuotient.quotient'` reducible |
---
<!-- The text above the `---` will become the commit message when your
PR is merged. Please leave a blank newline before the `---`, otherwise
GitHub will format the text above it as a title.
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Please ask for help on https://leanprover.zulipchat.com if needed.
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebra
label:t-algebra$ |
8/1 |
Mathlib/Algebra/Quotient.lean,Mathlib/GroupTheory/Coset.lean |
2 |
1 |
['github-actions'] |
nobody |
670-29696 1 year ago |
unknown |
0-0 0 seconds |
| 15586 |
astrainfinita author:astrainfinita |
test make `HasQuotient` out put a `setoid` |
---
<!-- The text above the `---` will become the commit message when your
PR is merged. Please leave a blank newline before the `---`, otherwise
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebra
label:t-algebra$ |
22/36 |
Mathlib/Algebra/Lie/CartanExists.lean,Mathlib/Algebra/Lie/Quotient.lean,Mathlib/Algebra/Lie/Weights/Basic.lean,Mathlib/Algebra/Quotient.lean,Mathlib/Analysis/Normed/Group/AddCircle.lean,Mathlib/GroupTheory/Commensurable.lean,Mathlib/GroupTheory/Coset.lean,Mathlib/GroupTheory/CosetCover.lean,Mathlib/GroupTheory/GroupAction/Quotient.lean,Mathlib/GroupTheory/Nilpotent.lean,Mathlib/GroupTheory/QuotientGroup.lean,Mathlib/LinearAlgebra/Quotient.lean,Mathlib/RingTheory/Ideal/Quotient.lean,Mathlib/Topology/Algebra/UniformRing.lean |
14 |
5 |
['astrainfinita', 'github-actions', 'leanprover-bot'] |
nobody |
670-29696 1 year ago |
unknown |
0-0 0 seconds |
| 13791 |
digama0 author:digama0 |
refactor: Primrec and Partrec |
General cleanup of the `Primrec` and `Partrec` files, to better adjust to lean 4 things. The main user-visible change is that `Primrec₂` is no longer a `def` but an `abbrev`, because it was causing inference issues in lean 4. I also removed all the nonterminal `simp`s in `PartrecCode.lean`.
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-computability
tech debt
|
585/778 |
Mathlib/Computability/Ackermann.lean,Mathlib/Computability/Halting.lean,Mathlib/Computability/Partrec.lean,Mathlib/Computability/PartrecCode.lean,Mathlib/Computability/Primrec.lean |
5 |
2 |
['github-actions', 'grunweg'] |
nobody |
668-50965 1 year ago |
732-40551 732 days ago |
1-84718 1 day |
| 11964 |
adamtopaz author:adamtopaz |
feat: The functor of points of a scheme |
We construct the functor of points functor, and prove that it's full and faithful.
---
- [x] depends on: #11947
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebraic-geometry
t-category-theory
|
210/0 |
Mathlib.lean,Mathlib/AlgebraicGeometry/FunctorOfPoints.lean,Mathlib/AlgebraicGeometry/OpenImmersion.lean |
3 |
4 |
['github-actions', 'grunweg'] |
nobody |
668-50824 1 year ago |
796-67765 796 days ago |
0-1223 20 minutes |
| 12418 |
rosborn author:rosborn |
style: replace preimage_val with ↓∩ notation |
---
This is a rough draft of what the new `↓∩` notation would look like within mathlib. I believe this is an improvement in clarity and would like to have `↓∩` as a standard notation (along with `''`, `⁻¹'`, `↑`, etc...). As `↓∩` is specialized for `Set`s, I have only changed `preimage_val` when the left-hand side of `↓∩` is a `Set`.
The introduction of the `↓∩` notation to Data.Set.Image is temporary as it isn't possible to import Data.Set.Subset directly. If we want `↓∩` unscoped, where would be the best place to define it? An option is Data.Set.Defs, but the notation cannot be defined without additional imports as the file does not import `notation3`.
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[](https://gitpod.io/from-referrer/)
|
merge-conflict |
56/61 |
Mathlib/Analysis/InnerProductSpace/Projection.lean,Mathlib/Data/Set/Function.lean,Mathlib/Data/Set/Image.lean,Mathlib/Data/Set/Subset.lean,Mathlib/MeasureTheory/Constructions/Polish.lean,Mathlib/MeasureTheory/MeasurableSpace/Basic.lean,Mathlib/MeasureTheory/Measure/Restrict.lean,Mathlib/Order/UpperLower/Basic.lean,Mathlib/Topology/Bases.lean,Mathlib/Topology/Clopen.lean,Mathlib/Topology/Connected/Basic.lean,Mathlib/Topology/Connected/PathConnected.lean,Mathlib/Topology/Constructions.lean,Mathlib/Topology/ContinuousOn.lean,Mathlib/Topology/LocalAtTarget.lean,Mathlib/Topology/LocallyConstant/Basic.lean,Mathlib/Topology/Separation.lean,Mathlib/Topology/Sober.lean |
18 |
3 |
['grunweg', 'rosborn'] |
nobody |
668-50723 1 year ago |
754-60707 754 days ago |
29-50022 29 days |
| 9978 |
FR-vdash-bot author:FR-vdash-bot |
chore(FieldTheory/KummerExtension): move some lemmas earlier |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-algebra
label:t-algebra$ |
197/177 |
Mathlib.lean,Mathlib/Data/Polynomial/FieldDivision.lean,Mathlib/FieldTheory/KummerExtension.lean,Mathlib/RingTheory/AdjoinRoot.lean,Mathlib/RingTheory/Polynomial/Irreducible.lean |
5 |
5 |
['alreadydone', 'grunweg', 'riccardobrasca'] |
nobody |
668-50515 1 year ago |
866-44697 866 days ago |
8-83342 8 days |
| 12429 |
adomani author:adomani |
feat: toND -- auto-generating natDegree |
This is an experiment to automatically translate theorems about `degree` to theorems about `natDegree`.
---
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[](https://gitpod.io/from-referrer/)
|
t-algebra
RFC
merge-conflict
awaiting-author
t-meta
label:t-algebra$ |
167/132 |
Mathlib.lean,Mathlib/Algebra/Polynomial/Degree/Definitions.lean,Mathlib/Algebra/Polynomial/Degree/Lemmas.lean,Mathlib/Algebra/Polynomial/EraseLead.lean,Mathlib/Algebra/Polynomial/HasseDeriv.lean,Mathlib/Algebra/Polynomial/Inductions.lean,Mathlib/Algebra/Polynomial/Mirror.lean,Mathlib/Algebra/Polynomial/Reverse.lean,Mathlib/Tactic.lean,Mathlib/Tactic/ToNatDegree.lean,scripts/noshake.json |
11 |
2 |
['adomani', 'grunweg'] |
nobody |
668-49826 1 year ago |
779-83899 779 days ago |
3-76602 3 days |
| 15823 |
eric-wieser author:eric-wieser |
Quotients of rings in model theory |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-logic
|
55/13 |
Mathlib/ModelTheory/Algebra/Ring/FreeCommRing.lean,Mathlib/ModelTheory/Syntax.lean |
2 |
1 |
['github-actions'] |
nobody |
668-28389 1 year ago |
unknown |
0-0 0 seconds |
| 12178 |
joneugster author:joneugster |
feat(Data/Matrix/Basic): add notation for `m×n`-Matrices |
Introduce the notation `Mat[m,n][R]` for `Matrix (Fin m) (Fin n) R`.
[Zulip thread](https://leanprover.zulipchat.com/#narrow/stream/287929-mathlib4/topic/Why.20does.20.60Matrix.2Erow.60.20use.20.20.60Unit.60.20instead.20of.20.60Fin.201.60.3F/near/427949223)
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebra
label:t-algebra$ |
139/135 |
Mathlib/Algebra/Lie/CartanMatrix.lean,Mathlib/Analysis/Complex/UpperHalfPlane/Basic.lean,Mathlib/Data/Matrix/Basic.lean,Mathlib/Data/Matrix/Notation.lean,Mathlib/Data/Matrix/Rank.lean,Mathlib/Data/Matrix/Reflection.lean,Mathlib/GroupTheory/Coxeter/Matrix.lean,Mathlib/LinearAlgebra/Matrix/Adjugate.lean,Mathlib/LinearAlgebra/Matrix/Charpoly/Coeff.lean,Mathlib/LinearAlgebra/Matrix/Determinant.lean,Mathlib/LinearAlgebra/Matrix/SpecialLinearGroup.lean,Mathlib/LinearAlgebra/Matrix/Trace.lean,Mathlib/LinearAlgebra/Matrix/Transvection.lean,Mathlib/LinearAlgebra/PID.lean,Mathlib/LinearAlgebra/Vandermonde.lean,Mathlib/NumberTheory/Modular.lean,Mathlib/NumberTheory/ModularForms/CongruenceSubgroups.lean,Mathlib/NumberTheory/ModularForms/SlashActions.lean,Mathlib/NumberTheory/ModularForms/SlashInvariantForms.lean,Mathlib/NumberTheory/RamificationInertia.lean,Mathlib/RingTheory/SimpleModule.lean,test/matrix.lean |
22 |
9 |
['YaelDillies', 'eric-wieser', 'grunweg', 'joneugster'] |
nobody |
668-5513 1 year ago |
786-82306 786 days ago |
5-76679 5 days |
| 12751 |
Command-Master author:Command-Master |
feat: add lemmas for Nat/Bits, Nat/Bitwise and Nat/Size |
Remove `@[simp]` from `Nat.bit_false` and `Nat.bit_true`, as `bit0` and `bit1` are deprecated, and add some lemmas to `Bits`, `Bitwise` and `Size`.
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-data
new-contributor
|
66/7 |
Mathlib/Data/Nat/Bits.lean,Mathlib/Data/Nat/Bitwise.lean,Mathlib/Data/Nat/Multiplicity.lean,Mathlib/Data/Nat/Size.lean |
4 |
26 |
['Command-Master', 'Rida-Hamadani', 'Ruben-VandeVelde', 'YaelDillies', 'github-actions', 'jcommelin'] |
nobody |
667-71877 1 year ago |
702-78099 702 days ago |
56-40668 56 days |
| 15448 |
urkud author:urkud |
chore(*): deprecate `Option.elim'` |
Use `Option.elim` instead.
---
<!-- The text above the `---` will become the commit message when your
PR is merged. Please leave a blank newline before the `---`, otherwise
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[](https://gitpod.io/from-referrer/) |
merge-conflict
awaiting-author
tech debt
|
54/50 |
Mathlib/Algebra/BigOperators/Option.lean,Mathlib/Algebra/MvPolynomial/Equiv.lean,Mathlib/Algebra/MvPolynomial/Variables.lean,Mathlib/Analysis/BoxIntegral/Partition/Additive.lean,Mathlib/Analysis/BoxIntegral/Partition/Basic.lean,Mathlib/Analysis/BoxIntegral/Partition/Split.lean,Mathlib/Analysis/Calculus/LagrangeMultipliers.lean,Mathlib/CategoryTheory/Category/PartialFun.lean,Mathlib/Computability/TMToPartrec.lean,Mathlib/Data/Option/Defs.lean,Mathlib/LinearAlgebra/Basis.lean,Mathlib/Logic/Embedding/Set.lean,Mathlib/Logic/Equiv/Basic.lean,Mathlib/MeasureTheory/OuterMeasure/Induced.lean,Mathlib/NumberTheory/Dioph.lean,Mathlib/Topology/Compactness/Paracompact.lean,Mathlib/Topology/LocallyFinite.lean |
17 |
12 |
['Ruben-VandeVelde', 'YaelDillies', 'github-actions', 'grunweg', 'urkud'] |
nobody |
667-60930 1 year ago |
677-20692 677 days ago |
7-18420 7 days |
| 10350 |
Shamrock-Frost author:Shamrock-Frost |
feat(Data/Setoid): add the operations of taking the equivalence class of an element and of saturating a set wrt an equivalence relation |
I'm open to suggestions about changing the name "saturate", someone on zulip rightly pointed out this is a very overloaded term in math. That said, I think it's unlikely to cause confusion and that there's only one reasonable interpretation in the context of setoids.
---
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- [x] depends on: #10347
- [x] depends on: #10348
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-data
|
169/3 |
Mathlib/Data/Setoid/Basic.lean,Mathlib/Data/Setoid/Partition.lean,Mathlib/Order/Closure.lean |
3 |
1 |
['leanprover-community-mathlib4-bot'] |
nobody |
665-74151 1 year ago |
784-65779 784 days ago |
19-74546 19 days |
| 13573 |
Shamrock-Frost author:Shamrock-Frost |
feat: add multivariate polynomial modules |
Add a type synonym for multivariate polynomials with coefficients in a module.
---
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Multivariate polynomials with module coefficients are sort of silly, but they sometimes show up in commutative algebra (eg in the definition of a quasi regular sequence). Writing this code involved a lot of copy and pasting from `PolynomialModule` and `MvPolynomial`. The API is definitely lacking at this stage but it's a start.
[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-algebra
label:t-algebra$ |
691/6 |
Mathlib.lean,Mathlib/Algebra/MvPolynomial/Module/Basic.lean,Mathlib/Algebra/MvPolynomial/Module/MvAEval.lean,Mathlib/Algebra/Polynomial/Module/Basic.lean |
4 |
9 |
['Shamrock-Frost', 'erdOne', 'github-actions'] |
nobody |
665-74131 1 year ago |
701-66499 701 days ago |
39-72752 39 days |
| 6517 |
MohanadAhmed author:MohanadAhmed |
feat: discrete Fourier transform of a finite sequence |
# Discrete Fourier Transform (DFT) Matrix and DFT of a (finite) sequence
This file defines the `dft` opertaion on a sequence (also a vecotr) and the DFT operation matrix
## Main definitions
- `dft v`: given a sequence (v : (Fin n) → ℂ) we can transform it into a sequence (V : (Fin n) →ℂ)
such that
$$V [p] = ∑_{k = 0}^{N - 1} e^{-j*2πkp/n} v [k]$$
- `idft V` : given a sequence (V : (Fin n) → ℂ) we can transform it into a sequence
(v : (Fin n) → ℂ)
such that
$$v [k] = \frac{1}{N}∑_{p = 0}^{n - 1} e^{j*2πkp/N} v [p]$$
- `dftMatrix n` : the dft matrix of dimensions $n \times n$ with the `k, p` entry equal to
$$Wₙ[k, p] = e^{-j2πkp/n}$$
- `(dftMatrix n)⁻¹` : the idft matrix of dimensions $n \times n$ with the `k, p` entry equal to
$$Wₙ[k, p] = (1/N) e^{j2πkp/n}$$
## Main results
- `dft v = (dftMatrix n) v` : the dft operation on a sequence is the same as the dft matrix applied to the vector
- `idft V = (dftMatrix n)⁻¹ V` : the idft operation on a sequence is the same as the idft matrix applied to the vector
- `dft (idft v) = dft ( idft v) = v` the dft and idft operations are inverses
- `Wₙ = vandermonde (w)` : the dft matrix is vandermonde with `w` being the first row of the dft matrix
- `circulant t = (dftMatrix n)⁻¹ ⬝ diagonal (dft t) ⬝ (dftMatrix n)` : a circulant matrix is diagonalizable by the dft and idft matrix pair.
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-algebra
label:t-algebra$ |
294/0 |
Mathlib.lean,Mathlib/LinearAlgebra/Matrix/DFT.lean |
2 |
26 |
['MohanadAhmed', 'ericrbg'] |
nobody |
665-73969 1 year ago |
975-11785 975 days ago |
65-20427 65 days |
| 13155 |
alreadydone author:alreadydone |
feat(NumberTheory/EllipticDivisibilitySequence): show elliptic relations follow from even-odd recursion |
This PR is centered around the (generalized) elliptic relations (`rel₄`)
$E(a,b,c,d): W_{a+b}W_{a-b}W_{c+d}W_{c-d}=W_{a+c}W_{a-c}W_{b+d}W_{b-d}-W_{a+d}W_{a-d}W_{b+c}W_{b-c}$.
For an integer-indexed sequence W valued in a commutative ring, the relation makes sense only when a,b,c,d are all integers or all half integers. For convenience of formalization, we instead consider integers a,b,c,d of the same parity and divide all subscripts by 2. We extract the subexpression $W_{(a+b)/2}W_{(a-b)/2}$ (which appear six times) as `addMulSub W a b`.
The collection of all $E(a,b,c,d)$ is equivalent to Stange's axiom for elliptic nets (`net`), and the literature (e.g. Silverman) commonly consider only the three-index special case $E(m,n,r,0)$ (`Rel₃`). Important special cases of these relations are
(i) $E(m+1,m,1,0): W_{2m+1}W_1^3=W_{m+2}W_m^3-W_{m+1}^3 W_{m-1}$ (`oddRec`) and
(ii) $E(m+1,m-1,1,0): W_{2m}W_2 W_1^2=W_m(W_{m+2}W_{m-1}^2-W_{m-2}W_{m+1}^2)$ (`evenRec`),
which suffice to uniquely specify $W$ on all positive integers recursively from four initial values $W_1, W_2, W_3, W_4$ (`IsEllSequence.ext`, if $W_1 W_2$ is not a zero divisor). In the usual setting where $W_1=1$ and $W_2\mid W_4$, there does exist a sequence (`normEDS`) satisfying (i) and (ii) given initial values $W_2, W_3$ and $W_4/W_2$. It turns out the same non-zerodivisor condition also guarantees that W is an odd function with $W_0=0$, which naturally extends W to all integers.
The main result of this PR (`rel₄_of_oddRec_evenRec`, `IsEllSequence.of_oddRec_evenRec`) is a purely algebraic proof that the sequence W defined by the single-parameter elliptic relations (i) and (ii) implies all $E(a,b,c,d)$, based on my original argument first published on [Math.SE](https://math.stackexchange.com/a/4903422/12932). It's based on the observation that a nonzerodivisor-multiple of $E(a,b,c,d)$ can be expressed as a linear combination of various $E(a,b,c_\min,d_\min)$ with the two smallest indices fixed at their minimal possible values, which can be transformed (`transf`) to an elliptic relation with smaller `a` (which can be assumed to hold by induction), unless they are of the form (i) or (ii) which hold by assumption. For this argument it's necessary to assume `a > b > c > d ≥ 0` (see `StrictAnti₄` and `Rel₄OfValid`), but it's easy to extend to arbitrary a,b,c,d by symmetry properties of `rel₄` under negation and permutations of indices.
In the subsequent PR #13057, we show all normalized EDSs (`normEDS`), defined using the even-odd recursion (i)-(ii), are elliptic (i.e. satisfy the elliptic relations) divisibility sequences. This PR doesn't directly apply because a normEDS doesn't always satisfy the nonzerodivisor condition, but they are specializations of the universal normEDS, which does satisfy the condition. The technique of reducing to the universal case will be applied many times, and relies on the naturality (`map`) lemmas.
We also change the `ℕ` in the definition `IsDivSequence` to `ℤ` which is more natural given that W is a `ℤ`-indexed sequence.
---
- [x] depends on: #13153
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|
merge-conflict
t-algebra
awaiting-author
t-number-theory
label:t-algebra$ |
565/12 |
Mathlib/NumberTheory/EllipticDivisibilitySequence.lean |
1 |
55 |
['Multramate', 'alreadydone', 'github-actions', 'grunweg', 'leanprover-community-mathlib4-bot'] |
nobody |
660-1173 1 year ago |
730-51370 730 days ago |
5-9479 5 days |
| 15600 |
adomani author:adomani |
feat: lint also `let` vs `have` |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
WIP
t-linter
|
77/26 |
Mathlib/Tactic/Linter/HaveLetLinter.lean,test/HaveLetLinter.lean |
2 |
1 |
['github-actions'] |
nobody |
658-55849 1 year ago |
679-49547 679 days ago |
0-8 8 seconds |
| 16253 |
Shreyas4991 author:Shreyas4991 |
feat: Basics of Discrete Fair Division in Mathlib |
This PR adds the basics of discrete fair division in mathlib. We include the definitions of allocations, valuations, properties of valuations, and the following notions : Envy-Freeness (EF), Envy-Freeness upto 1 good (EF1), and envy freeness upto any good (EFX). We also include the various implications between these notions.
---
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[](https://gitpod.io/from-referrer/)
|
WIP
awaiting-author
|
144/0 |
Mathlib/GameTheory/FairDivision/Discrete/Basic.lean |
1 |
9 |
['Shreyas4991', 'eric-wieser', 'github-actions'] |
nobody |
657-53762 1 year ago |
657-58023 657 days ago |
0-20853 5 hours |
| 13970 |
adomani author:adomani |
feat: a linter to flag unnecessary uses of `nolint simpNF` |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-linter
awaiting-author
|
230/0 |
Mathlib.lean,Mathlib/Analysis/CStarAlgebra/Basic.lean,Mathlib/Analysis/Quaternion.lean,Mathlib/CategoryTheory/Comma/Arrow.lean,Mathlib/CategoryTheory/Monoidal/End.lean,Mathlib/Data/NNRat/Defs.lean,Mathlib/Data/Rat/Defs.lean,Mathlib/LinearAlgebra/CliffordAlgebra/Even.lean,Mathlib/LinearAlgebra/CliffordAlgebra/EvenEquiv.lean,Mathlib/Tactic.lean,Mathlib/Tactic/Linter.lean,Mathlib/Tactic/Linter/UnnecessarySyntax.lean,test/UnnecessarySyntax.lean |
13 |
4 |
['adomani', 'github-actions', 'grunweg', 'leanprover-bot'] |
nobody |
656-79063 1 year ago |
unknown |
0-0 0 seconds |
| 15162 |
adomani author:adomani |
feat: checkAsSorry linter |
A very preliminary version of the `checkAsSorry` linter.
It flags declarations whose type is not equal to the 'asSorry'ed one.
[Zulip discussion](https://leanprover.zulipchat.com/#narrow/stream/287929-mathlib4/topic/Running.20Mathlib.20under.20.60set_option.20debug.2EbyAsSorry.60)
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-linter
|
119/0 |
Mathlib.lean,Mathlib/Tactic.lean,Mathlib/Tactic/Linter/CheckAsSorry.lean,test/CheckAsSorry.lean |
4 |
1 |
['github-actions'] |
nobody |
656-78051 1 year ago |
unknown |
0-0 0 seconds |
| 14669 |
Command-Master author:Command-Master |
feat(Data/Nat/PartENat): add lemmas for PartENat |
Add some missing lemmas for `PartENat`, as well as the additive homomorphism from it to `WithTop Int`.
---
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[](https://gitpod.io/from-referrer/)
|
awaiting-author
t-data
new-contributor
merge-conflict
|
90/0 |
Mathlib/Data/Nat/PartENat.lean |
1 |
4 |
['erdOne', 'github-actions', 'mathlib-merge-conflicts', 'urkud'] |
nobody |
654-83767 1 year ago |
706-4889 706 days ago |
0-6775 1 hour |
| 15121 |
Eloitor author:Eloitor |
feat: iff theorems for IsSplitEpi and IsSplitMono in opposite category |
---
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PR is merged. Please leave a blank newline before the `---`, otherwise
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[](https://gitpod.io/from-referrer/)
|
awaiting-author
t-category-theory
new-contributor
|
40/0 |
Mathlib/CategoryTheory/EpiMono.lean |
1 |
3 |
['github-actions', 'joelriou', 'mattrobball'] |
nobody |
654-46712 1 year ago |
686-5971 686 days ago |
7-3203 7 days |
| 15895 |
madvorak author:madvorak |
feat(Computability/ContextFreeGrammar): mapping between two types of nonterminal symbols |
---
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PR is merged. Please leave a blank newline before the `---`, otherwise
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-->
[](https://gitpod.io/from-referrer/)
|
t-computability
WIP
|
172/0 |
Mathlib/Computability/ContextFreeGrammar.lean |
1 |
43 |
['YaelDillies', 'github-actions', 'madvorak'] |
nobody |
653-63505 1 year ago |
658-10614 658 days ago |
1-43047 1 day |
| 14038 |
adomani author:adomani |
test/decl diff in lean dev |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
WIP
|
231/2 |
.github/workflows/bors.yml,.github/workflows/build.yml,.github/workflows/build.yml.in,.github/workflows/build_fork.yml,.github/workflows/mk_build_yml.sh,Mathlib/Tactic/Eval.lean,scripts/decls_diff_hybrid.sh,scripts/list_decls.lean |
8 |
3 |
['github-actions'] |
nobody |
652-71565 1 year ago |
725-41684 725 days ago |
0-8 8 seconds |
| 14046 |
adomani author:adomani |
test: diff of declarations in lean |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
WIP
|
231/2 |
.github/workflows/bors.yml,.github/workflows/build.yml,.github/workflows/build.yml.in,.github/workflows/build_fork.yml,.github/workflows/mk_build_yml.sh,Mathlib/Tactic/Eval.lean,scripts/decls_diff_hybrid.sh,scripts/list_decls.lean |
8 |
2 |
['github-actions'] |
nobody |
652-71565 1 year ago |
unknown |
0-0 0 seconds |
| 12107 |
yuma-mizuno author:yuma-mizuno |
feat(Mathlib/Tactic/Widget/StringDiagram): support 2-morphisms in bicategories |
---
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PR is merged. Please leave a blank newline before the `---`, otherwise
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- [x] depends on: #11080
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-category-theory
t-meta
|
1158/0 |
Mathlib.lean,Mathlib/Tactic.lean,Mathlib/Tactic/CategoryTheory/Coherence.lean,Mathlib/Tactic/Widget/StringDiagram.lean,scripts/noshake.json,test/StringDiagram.lean,widget/src/penrose/monoidal.dsl,widget/src/penrose/monoidal.sty |
8 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
647-66309 1 year ago |
unknown |
0-0 0 seconds |
| 15925 |
yuma-mizuno author:yuma-mizuno |
feat(CategoryTheory/Monoida): proof producing coherence tactic |
---
<!-- The text above the `---` will become the commit message when your
PR is merged. Please leave a blank newline before the `---`, otherwise
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-category-theory
t-meta
|
5018/265 |
Mathlib.lean,Mathlib/CategoryTheory/Bicategory/Adjunction.lean,Mathlib/CategoryTheory/Bicategory/Kan/Adjunction.lean,Mathlib/CategoryTheory/Monoidal/Braided/Basic.lean,Mathlib/CategoryTheory/Monoidal/CoherenceLemmas.lean,Mathlib/CategoryTheory/Monoidal/Opposite.lean,Mathlib/CategoryTheory/Monoidal/Rigid/Basic.lean,Mathlib/CategoryTheory/Monoidal/Rigid/Braided.lean,Mathlib/Tactic.lean,Mathlib/Tactic/CategoryTheory/BicategoricalComp.lean,Mathlib/Tactic/CategoryTheory/Bicategory/Normalize.lean,Mathlib/Tactic/CategoryTheory/Bicategory/PureCoherence.lean,Mathlib/Tactic/CategoryTheory/Coherence.lean,Mathlib/Tactic/CategoryTheory/Coherence/Basic.lean,Mathlib/Tactic/CategoryTheory/Coherence/Datatypes.lean,Mathlib/Tactic/CategoryTheory/Coherence/Normalize.lean,Mathlib/Tactic/CategoryTheory/Coherence/PureCoherence.lean,Mathlib/Tactic/CategoryTheory/CoherenceNew.lean,Mathlib/Tactic/CategoryTheory/Monoidal.lean,Mathlib/Tactic/CategoryTheory/Monoidal/Basic.lean,Mathlib/Tactic/CategoryTheory/Monoidal/Datatypes.lean,Mathlib/Tactic/CategoryTheory/Monoidal/Normalize.lean,Mathlib/Tactic/CategoryTheory/Monoidal/PureCoherence.lean,Mathlib/Tactic/CategoryTheory/MonoidalComp.lean,Mathlib/Tactic/Widget/StringDiagram.lean,lake-manifest.json,scripts/noshake.json,test/CategoryTheory/Bicategory.lean,test/CategoryTheory/Coherence.lean,test/CategoryTheory/CoherenceNew.lean,test/CategoryTheory/Monoidal.lean,test/CategoryTheory/Monoidal/Basic.lean,test/CategoryTheory/Monoidal/Normalize.lean,test/CategoryTheory/MonoidalComp.lean,test/StringDiagram.lean |
35 |
1 |
['github-actions'] |
nobody |
647-26446 1 year ago |
unknown |
0-0 0 seconds |
| 7861 |
shuxuezhuyi author:shuxuezhuyi |
feat(Geometry/Hyperbolic/UpperHalfPlane): instance IsometricSMul PSL(2, ℝ) ℍ |
---
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- [ ] depends on: #7835
- [ ] depends on: #7791
[](https://gitpod.io/from-referrer/)
|
merge-conflict
blocked-by-other-PR
t-euclidean-geometry
|
98/0 |
Mathlib.lean,Mathlib/Geometry/Hyperbolic/UpperHalfPlane/Basic.lean,Mathlib/LinearAlgebra/Matrix/ProjectiveSpecialLinearGroup.lean |
3 |
1 |
['leanprover-community-mathlib4-bot'] |
nobody |
647-7506 1 year ago |
707-48034 707 days ago |
43-50453 43 days |
| 6475 |
joneugster author:joneugster |
refactor(LinearAlgebra/Span): replace ∙ with • as notation for `span R {x}` |
Change the notation for `Submodule.span R {x}` from `R ∙ x` to the bullet `R • x`, which is also used for scalar multiplication.
---
(this was an experiment originating from a [Zulip discussion](https://leanprover.zulipchat.com/#narrow/stream/270676-lean4/topic/.2E.C2.B7.E2.AC.9D.20.5Brant.5D), I don't have a clear opinion if this is actually a desired thing to do...)
Generally this works and Lean seems to do fine figuring out the difference between `r • x` and `R • x` (The former is scalar multiplication in an `R`-module `M`, the latter is the `Submodule R M` generated by `x`).
Encountered a few regressions that should be considered (the first two might be also bugs that could be looked at independently):
1. `(· • ·)`, and general simple function syntax, does not work as notation for `HSMul.hSMul` anymore. For this reason, I introduced the notation `scoped` to minimise the effect of this. Now it's only a problem if you `open Span`. Note that `fun x₁ x₂ ↦ x₁ • x₂` works flawlessly all the time.
4. `change` and `convert` have troubles to deal with the two competing notations. `have := _; convert this` works.
5. `R • x - y` is not valid anymore and needs parentheses: `R • (x - y)`. I do think this actually helps readability, so I don't mind.
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebra
RFC
label:t-algebra$ |
323/240 |
Mathlib/Algebra/Algebra/Operations.lean,Mathlib/Algebra/Algebra/Subalgebra/Basic.lean,Mathlib/Algebra/Lie/Engel.lean,Mathlib/Algebra/Lie/Normalizer.lean,Mathlib/Algebra/Module/PID.lean,Mathlib/Algebra/Module/Torsion.lean,Mathlib/Analysis/InnerProductSpace/Basic.lean,Mathlib/Analysis/InnerProductSpace/GramSchmidtOrtho.lean,Mathlib/Analysis/InnerProductSpace/Orthogonal.lean,Mathlib/Analysis/InnerProductSpace/PiL2.lean,Mathlib/Analysis/InnerProductSpace/Projection.lean,Mathlib/Analysis/InnerProductSpace/TwoDim.lean,Mathlib/Analysis/NormedSpace/ContinuousLinearMap.lean,Mathlib/Analysis/NormedSpace/HahnBanach/Extension.lean,Mathlib/Analysis/NormedSpace/OperatorNorm.lean,Mathlib/Data/ZMod/Quotient.lean,Mathlib/Geometry/Euclidean/Angle/Oriented/Basic.lean,Mathlib/Geometry/Euclidean/Inversion/Calculus.lean,Mathlib/Geometry/Euclidean/MongePoint.lean,Mathlib/Geometry/Euclidean/PerpBisector.lean,Mathlib/Geometry/Euclidean/Sphere/SecondInter.lean,Mathlib/Geometry/Manifold/Instances/Sphere.lean,Mathlib/LinearAlgebra/AffineSpace/AffineSubspace.lean,Mathlib/LinearAlgebra/AffineSpace/FiniteDimensional.lean,Mathlib/LinearAlgebra/BilinearForm.lean,Mathlib/LinearAlgebra/DFinsupp.lean,Mathlib/LinearAlgebra/Dimension.lean,Mathlib/LinearAlgebra/FiniteDimensional.lean,Mathlib/LinearAlgebra/LinearIndependent.lean,Mathlib/LinearAlgebra/LinearPMap.lean,Mathlib/LinearAlgebra/ProjectiveSpace/Basic.lean,Mathlib/LinearAlgebra/QuadraticForm/Basic.lean,Mathlib/LinearAlgebra/Quotient.lean,Mathlib/LinearAlgebra/SesquilinearForm.lean,Mathlib/LinearAlgebra/Span.lean,Mathlib/MeasureTheory/Integral/Periodic.lean,Mathlib/RingTheory/Coprime/Ideal.lean,Mathlib/RingTheory/Finiteness.lean,Mathlib/RingTheory/Ideal/AssociatedPrime.lean,Mathlib/RingTheory/Ideal/IdempotentFG.lean,Mathlib/RingTheory/Noetherian.lean,Mathlib/Topology/Instances/AddCircle.lean |
42 |
3 |
['eric-wieser', 'joneugster', 'leanprover-bot'] |
nobody |
646-4802 1 year ago |
unknown |
0-0 0 seconds |
| 10591 |
adri326 author:adri326 |
feat(Topology/Algebra/ConstMulAction): properties of continuous actions in Hausdorff spaces |
Defines some useful properties of `ContinuousConstSMul` group actions on Hausdorff spaces:
- `MulAction.isClosed_fixedBy`, which proves that the `fixedBy α m` set is closed
- `t2_separation_smul`, which constructs an open set `s` such that `s` and `g • s` are disjoint
- `Set.InjOn.t2_separation_smul`, the extension of `t2_separation_smul` to a set of group elements whose action is injective
---
This PR belongs my series of PR around the formalization of Rubin's theorem. `MulAction.isClosed_fixedBy` is used in several places along the proof, and the separation lemmas are primarily used in showing that `(fixedBy α g)ᶜ` and `(fixedBy α h)ᶜ` are disjoint under some intricate but fully group-theoretic condition.
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[](https://gitpod.io/from-referrer/)
|
t-topology
awaiting-author
t-algebra
label:t-algebra$ |
57/0 |
Mathlib/Topology/Algebra/ConstMulAction.lean |
1 |
9 |
['ADedecker', 'adri326', 'j-loreaux', 'jcommelin'] |
ADedecker assignee:ADedecker |
645-62363 1 year ago |
797-75105 797 days ago |
55-82204 55 days |
| 7545 |
shuxuezhuyi author:shuxuezhuyi |
feat: APIs of `Function.extend f g e'` when `f` is injective |
We characterizes `range g`, `Injective g`, `Surjective g` and `Bijective g` in terms of `extend f g e'`.
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-logic
|
50/0 |
Mathlib.lean,Mathlib/Logic/Function/ApiForExtend.lean |
2 |
1 |
['fpvandoorn'] |
nobody |
645-20338 1 year ago |
953-54520 953 days ago |
32-32325 32 days |
| 16658 |
adomani author:adomani |
add tips file |
---
<!-- The text above the `---` will become the commit message when your
PR is merged. Please leave a blank newline before the `---`, otherwise
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-->
[](https://gitpod.io/from-referrer/)
|
merge-conflict
WIP
awaiting-author
test-ci
|
51/508 |
.github/build.in.yml,.github/workflows/bors.yml,.github/workflows/build.yml,.github/workflows/build_fork.yml,scripts/Tips.lean |
5 |
1 |
['github-actions'] |
nobody |
641-49271 1 year ago |
unknown |
0-0 0 seconds |
| 14078 |
Ruben-VandeVelde author:Ruben-VandeVelde |
feat(CI): continue after mk_all fails |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
CI
|
43/0 |
.github/workflows/bors.yml,.github/workflows/build.yml,.github/workflows/build.yml.in,.github/workflows/build_fork.yml,Mathlib/Data/Nat/Test.lean |
5 |
2 |
['bryangingechen', 'github-actions'] |
nobody |
641-29571 1 year ago |
723-82531 723 days ago |
0-13311 3 hours |
| 11283 |
hmonroe author:hmonroe |
feat(ModelTheory/Satisfiability): define theory with independent sentence |
---
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PR is merged. Please leave a blank newline before the `---`, otherwise
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
WIP
t-logic
|
8/0 |
Mathlib/ModelTheory/Satisfiability.lean |
1 |
2 |
['fpvandoorn', 'hmonroe'] |
nobody |
639-125 1 year ago |
825-60195 825 days ago |
3-63452 3 days |
| 16914 |
siddhartha-gadgil author:siddhartha-gadgil |
Loogle syntax with non-reserved |
This is PR mainly to test that loogle syntax does not break stuff downstream
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
WIP
|
4/4 |
lake-manifest.json,lakefile.lean |
2 |
1 |
['github-actions'] |
nobody |
636-75134 1 year ago |
637-72223 637 days ago |
0-14835 4 hours |
| 13782 |
alreadydone author:alreadydone |
feat(EllipticCurve): ZSMul formula in terms of division polynomials |
The formula $[n]P = (\phi_n(x,y) : \omega_n(x,y) : \psi_n(x,y))$ in Jacobian coordinates for $P=(x,y)$ a nonsingular point on a Weierstrass/elliptic curve.
---
- [x] depends on: #12883
- [x] depends on: #13399
- [ ] depends on: #13057
- [ ] depends on: #13155
- [x] depends on: #13845
- [x] depends on: #13846
- [ ] depends on: #13847
<!-- The text above the `---` will become the commit message when your
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|
t-algebra
t-number-theory
blocked-by-other-PR
merge-conflict
t-algebraic-geometry
label:t-algebra$ |
2462/232 |
Mathlib.lean,Mathlib/Algebra/MvPolynomial/PDeriv.lean,Mathlib/Algebra/Polynomial/Bivariate.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Affine.lean,Mathlib/AlgebraicGeometry/EllipticCurve/DivisionPolynomial/Basic.lean,Mathlib/AlgebraicGeometry/EllipticCurve/DivisionPolynomial/ZSMul.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Group.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Jacobian.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Universal.lean,Mathlib/NumberTheory/EllipticDivisibilitySequence.lean |
10 |
8 |
['Multramate', 'alreadydone', 'github-actions', 'leanprover-community-mathlib4-bot'] |
nobody |
634-38099 1 year ago |
unknown |
0-0 0 seconds |
| 8118 |
iwilare author:iwilare |
feat(CategoryTheory): add dinatural transformations |
A starting point to define [dinatural transformations](https://ncatlab.org/nlab/show/dinatural+transformation).
This is my first PR so style comments and improvements are very welcome!
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-category-theory
|
147/7 |
Mathlib.lean,Mathlib/CategoryTheory/DinatTrans.lean,Mathlib/CategoryTheory/Functor/Category.lean,Mathlib/CategoryTheory/Products/Bifunctor.lean |
4 |
49 |
['Shamrock-Frost', 'github-actions', 'iwilare', 'joelriou'] |
Shamrock-Frost assignee:Shamrock-Frost |
632-11020 1 year ago |
735-77897 735 days ago |
21-30729 21 days |
| 14242 |
js2357 author:js2357 |
feat: Prove equivalence of `isDedekindDomain` and `isDedekindDomainDvr` |
Prove that `isDedekindDomainDvr` is equivalent to both `isDedekindDomain` and `isDedekindDomainInv`.
Specifically, prove `isDedekindDomainDvr A → isDedekindDomainInv A`, because `isDedekindDomain A → isDedekindDomainDvr A` and `IsDedekindDomain A ↔ IsDedekindDomainInv A` are already in Mathlib.
- [x] depends on: #14099
- [x] depends on: #14216
- [ ] depends on: #14237
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebra
blocked-by-other-PR
new-contributor
label:t-algebra$ |
269/1 |
Mathlib.lean,Mathlib/RingTheory/DedekindDomain/Dvr.lean,Mathlib/RingTheory/FractionalIdeal/LocalizedAtPrime.lean,Mathlib/RingTheory/Localization/Basic.lean |
4 |
2 |
['github-actions', 'leanprover-community-mathlib4-bot'] |
nobody |
631-57771 1 year ago |
719-46718 719 days ago |
0-273 4 minutes |
| 17171 |
FR-vdash-bot author:FR-vdash-bot |
test extends carrier and property |
---
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We need https://github.com/leanprover/lean4/issues/2666 ...
[](https://gitpod.io/from-referrer/)
|
merge-conflict |
433/309 |
Mathlib/Algebra/Algebra/NonUnitalSubalgebra.lean,Mathlib/Algebra/Algebra/Subalgebra/Basic.lean,Mathlib/Algebra/Algebra/Subalgebra/Directed.lean,Mathlib/Algebra/DirectSum/Decomposition.lean,Mathlib/Algebra/Field/Subfield.lean,Mathlib/Algebra/Group/Subgroup/Basic.lean,Mathlib/Algebra/Group/Subgroup/MulOpposite.lean,Mathlib/Algebra/Group/Submonoid/Basic.lean,Mathlib/Algebra/Group/Submonoid/MulOpposite.lean,Mathlib/Algebra/Group/Submonoid/Pointwise.lean,Mathlib/Algebra/Group/Submonoid/Units.lean,Mathlib/Algebra/Group/Subsemigroup/Basic.lean,Mathlib/Algebra/Group/Subsemigroup/Operations.lean,Mathlib/Algebra/Module/Submodule/Basic.lean,Mathlib/Algebra/Module/Submodule/Lattice.lean,Mathlib/Algebra/Module/Submodule/Map.lean,Mathlib/Algebra/Module/Submodule/Pointwise.lean,Mathlib/Algebra/Ring/Subring/Basic.lean,Mathlib/Algebra/Ring/Subsemiring/Basic.lean,Mathlib/Algebra/Ring/Subsemiring/MulOpposite.lean,Mathlib/Algebra/Ring/Subsemiring/Order.lean,Mathlib/Algebra/Star/Subalgebra.lean,Mathlib/Algebra/Star/Subsemiring.lean,Mathlib/Data/Complex/Module.lean,Mathlib/Data/SetLike/Basic.lean,Mathlib/Deprecated/Subfield.lean,Mathlib/Deprecated/Subgroup.lean,Mathlib/Deprecated/Submonoid.lean,Mathlib/Deprecated/Subring.lean,Mathlib/FieldTheory/IntermediateField/Basic.lean,Mathlib/GroupTheory/ArchimedeanDensely.lean,Mathlib/GroupTheory/DoubleCoset.lean,Mathlib/GroupTheory/Finiteness.lean,Mathlib/GroupTheory/GroupAction/SubMulAction.lean,Mathlib/LinearAlgebra/AffineSpace/AffineSubspace.lean,Mathlib/LinearAlgebra/Span.lean,Mathlib/RingTheory/Ideal/Operations.lean,Mathlib/RingTheory/NonUnitalSubring/Basic.lean,Mathlib/RingTheory/NonUnitalSubsemiring/Basic.lean,Mathlib/SetTheory/Cardinal/Subfield.lean,Mathlib/Topology/Algebra/Algebra.lean,Mathlib/Topology/Algebra/OpenSubgroup.lean |
42 |
1 |
['github-actions'] |
nobody |
627-56113 1 year ago |
unknown |
0-0 0 seconds |
| 7516 |
ADedecker author:ADedecker |
perf: use `abbrev` to prevent unifying useless data |
---
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|
merge-conflict
WIP
|
4/3 |
Mathlib/Topology/ContinuousFunction/Bounded.lean |
1 |
3 |
['ADedecker', 'leanprover-bot', 'mattrobball'] |
nobody |
626-27773 1 year ago |
986-78390 986 days ago |
0-16 16 seconds |
| 17127 |
FR-vdash-bot author:FR-vdash-bot |
chore: remove global `Quotient.mk` `⟦·⟧` notation |
---
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PR is merged. Please leave a blank newline before the `---`, otherwise
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Merge this PR when we are ready to migrate to `QuotLike` API (#16421).
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-data
|
137/2 |
Counterexamples/Pseudoelement.lean,Mathlib/Algebra/Associated/Basic.lean,Mathlib/Algebra/BigOperators/Group/Finset.lean,Mathlib/Algebra/Group/Conj.lean,Mathlib/Algebra/GroupWithZero/NonZeroDivisors.lean,Mathlib/Algebra/Order/CauSeq/Completion.lean,Mathlib/Algebra/Quandle.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Jacobian.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Projective.lean,Mathlib/AlgebraicTopology/FundamentalGroupoid/Basic.lean,Mathlib/AlgebraicTopology/FundamentalGroupoid/FundamentalGroup.lean,Mathlib/AlgebraicTopology/FundamentalGroupoid/InducedMaps.lean,Mathlib/AlgebraicTopology/FundamentalGroupoid/Product.lean,Mathlib/AlgebraicTopology/FundamentalGroupoid/SimplyConnected.lean,Mathlib/CategoryTheory/Abelian/Pseudoelements.lean,Mathlib/CategoryTheory/Limits/Shapes/SingleObj.lean,Mathlib/CategoryTheory/Monoidal/Free/Basic.lean,Mathlib/CategoryTheory/Monoidal/Free/Coherence.lean,Mathlib/CategoryTheory/Skeletal.lean,Mathlib/Data/Finset/Card.lean,Mathlib/Data/Fintype/List.lean,Mathlib/Data/Fintype/Quotient.lean,Mathlib/Data/Multiset/Basic.lean,Mathlib/Data/QPF/Multivariate/Constructions/Fix.lean,Mathlib/Data/QPF/Univariate/Basic.lean,Mathlib/Data/Quot.lean,Mathlib/Data/Real/Basic.lean,Mathlib/Data/Set/Finite.lean,Mathlib/Data/Set/Image.lean,Mathlib/Data/Setoid/Basic.lean,Mathlib/GroupTheory/GroupAction/Basic.lean,Mathlib/GroupTheory/GroupAction/Quotient.lean,Mathlib/LinearAlgebra/Dual.lean,Mathlib/LinearAlgebra/Ray.lean,Mathlib/Logic/Encodable/Basic.lean,Mathlib/Logic/Equiv/Basic.lean,Mathlib/ModelTheory/DirectLimit.lean,Mathlib/ModelTheory/Fraisse.lean,Mathlib/ModelTheory/Quotients.lean,Mathlib/NumberTheory/NumberField/CanonicalEmbedding/FundamentalCone.lean,Mathlib/NumberTheory/NumberField/Embeddings.lean,Mathlib/NumberTheory/NumberField/Units/DirichletTheorem.lean,Mathlib/NumberTheory/Padics/PadicIntegers.lean,Mathlib/NumberTheory/Padics/PadicNumbers.lean,Mathlib/Order/RelIso/Basic.lean,Mathlib/RepresentationTheory/Action/Concrete.lean,Mathlib/SetTheory/Cardinal/Basic.lean,Mathlib/SetTheory/Cardinal/Ordinal.lean,Mathlib/SetTheory/Game/Basic.lean,Mathlib/SetTheory/Game/Birthday.lean,Mathlib/SetTheory/Game/Impartial.lean,Mathlib/SetTheory/Game/Ordinal.lean,Mathlib/SetTheory/Game/State.lean,Mathlib/SetTheory/Lists.lean,Mathlib/SetTheory/Ordinal/Arithmetic.lean,Mathlib/SetTheory/Ordinal/Basic.lean,Mathlib/SetTheory/Surreal/Basic.lean,Mathlib/SetTheory/Surreal/Dyadic.lean,Mathlib/SetTheory/Surreal/Multiplication.lean,Mathlib/SetTheory/ZFC/Basic.lean,Mathlib/SetTheory/ZFC/Rank.lean,Mathlib/Topology/Connected/PathConnected.lean,Mathlib/Topology/Homotopy/HomotopyGroup.lean,Mathlib/Topology/Homotopy/Path.lean,Mathlib/Topology/Homotopy/Product.lean,Mathlib/Topology/MetricSpace/GromovHausdorff.lean,Mathlib/Topology/UniformSpace/Separation.lean,test/interactiveUnfold.lean |
68 |
1 |
['github-actions'] |
nobody |
626-22816 1 year ago |
626-22816 626 days ago |
4-72805 4 days |
| 16887 |
metinersin author:metinersin |
feat(ModelTheory/Complexity): define conjunctive and disjunctive formulas |
Defines `FirstOrder.Language.BoundedFormula.IsConjunctive` and `FirstOrder.Language.BoundedFormula.IsDisjunctive`.
---
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- [ ] depends on: #16885
[](https://gitpod.io/from-referrer/)
|
merge-conflict
blocked-by-other-PR
new-contributor
t-logic
|
300/7 |
Mathlib/ModelTheory/Complexity.lean,Mathlib/ModelTheory/Equivalence.lean,Mathlib/ModelTheory/Syntax.lean |
3 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
623-53749 1 year ago |
638-81823 638 days ago |
0-1299 21 minutes |
| 16888 |
metinersin author:metinersin |
feat(ModelTheory/Complexity): Define conjunctive and disjunctive normal forms |
Define `FirstOrder.Language.BoundedFormula.IsDNF` and `FirstOrder.Language.BoundedFormula.IsCNF`.
---
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- [ ] depends on: #16887
[](https://gitpod.io/from-referrer/)
|
merge-conflict
blocked-by-other-PR
new-contributor
t-logic
|
415/7 |
Mathlib/ModelTheory/Complexity.lean,Mathlib/ModelTheory/Equivalence.lean,Mathlib/ModelTheory/Syntax.lean |
3 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
623-53749 1 year ago |
638-81824 638 days ago |
0-1045 17 minutes |
| 16889 |
metinersin author:metinersin |
feat(ModelTheory/Complexity): Normal forms |
Defines `FirstOrder.Language.BoundedFormula.toDNF` and `FirstOrder.Language.BoundedFormula.toCNF` - given a quantifier-free formula, these construct a semantically equivalent formula in disjunctive normal form and conjunctive normal form, respectively.
---
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- [ ] depends on: #16888
[](https://gitpod.io/from-referrer/)
|
merge-conflict
blocked-by-other-PR
new-contributor
t-logic
|
525/7 |
Mathlib/ModelTheory/Complexity.lean,Mathlib/ModelTheory/Equivalence.lean,Mathlib/ModelTheory/Syntax.lean |
3 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
623-53748 1 year ago |
638-77574 638 days ago |
0-613 10 minutes |
| 5995 |
FR-vdash-bot author:FR-vdash-bot |
feat: add APIs about `Quotient.choice` |
Some docs in this PR refer to the definition in #5576.
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
RFC
t-data
|
76/6 |
Mathlib/Data/Quot.lean |
1 |
3 |
['YaelDillies', 'astrainfinita', 'gebner'] |
eric-wieser assignee:eric-wieser |
616-67958 1 year ago |
742-2219 742 days ago |
285-35716 285 days |
| 14619 |
Command-Master author:Command-Master |
chore: Merge `Trunc` to `Squash` |
Remove `Trunc` and use `Squash` instead
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
WIP
new-contributor
|
197/211 |
Mathlib/CategoryTheory/EpiMono.lean,Mathlib/CategoryTheory/Preadditive/Biproducts.lean,Mathlib/Data/DFinsupp/Basic.lean,Mathlib/Data/Fintype/Basic.lean,Mathlib/Data/Fintype/Card.lean,Mathlib/Data/Fintype/Option.lean,Mathlib/Data/Fintype/Perm.lean,Mathlib/Data/Fintype/Quotient.lean,Mathlib/Data/Quot.lean,Mathlib/Data/Semiquot.lean,Mathlib/GroupTheory/Perm/Cycle/Factors.lean,Mathlib/GroupTheory/Perm/Sign.lean,Mathlib/Logic/Equiv/List.lean |
13 |
3 |
['Command-Master', 'github-actions', 'vihdzp'] |
nobody |
614-13899 1 year ago |
unknown |
0-0 0 seconds |
| 13156 |
erdOne author:erdOne |
refactor(Algebra/Module/LocalizedModule): Redefine `LocalizedModule` in terms of `OreLocalization`. |
---
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- [x] depends on: #13151
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebra
label:t-algebra$ |
519/628 |
Mathlib.lean,Mathlib/Algebra/Module/LocalizedModule.lean,Mathlib/AlgebraicGeometry/Modules/Tilde.lean,Mathlib/RingTheory/DedekindDomain/Different.lean,Mathlib/RingTheory/Localization/BaseChange.lean,Mathlib/RingTheory/OreLocalization/Basic.lean,Mathlib/RingTheory/OreLocalization/Module.lean,Mathlib/RingTheory/OreLocalization/Ring.lean |
8 |
4 |
['github-actions', 'leanprover-bot', 'leanprover-community-mathlib4-bot', 'mattrobball'] |
nobody |
611-75098 1 year ago |
611-75098 611 days ago |
51-84473 51 days |
| 16348 |
urkud author:urkud |
refactor(Topology): require `LinearOrder` with `OrderTopology` |
While the definition formally makes sense for a preorder,
this topology is usually not the right one for a non-linear order (e.g., `Real × Real`).
See [Zulip thread](https://leanprover.zulipchat.com/#narrow/stream/287929-mathlib4/topic/Open.20Ioi)
---
This PR doesn't cleanup any API, I'm going to do it in a later PR.
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-topology
t-order
|
33/46 |
Mathlib/Analysis/Asymptotics/SuperpolynomialDecay.lean,Mathlib/Topology/Algebra/Order/LiminfLimsup.lean,Mathlib/Topology/Instances/Sign.lean,Mathlib/Topology/Order/Basic.lean,Mathlib/Topology/Order/Filter.lean,Mathlib/Topology/Order/MonotoneContinuity.lean |
6 |
10 |
['YaelDillies', 'github-actions', 'jcommelin', 'urkud'] |
nobody |
611-74722 1 year ago |
652-20656 652 days ago |
3-83049 3 days |
| 13965 |
pechersky author:pechersky |
feat(Data/DigitExpansion): reals via digit expansion are complete |
---
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[](https://gitpod.io/from-referrer/)
- [ ] depends on: #13964 |
merge-conflict
blocked-by-other-PR
t-data
|
3876/0 |
Mathlib.lean,Mathlib/Data/DigitExpansion/Add.lean,Mathlib/Data/DigitExpansion/Defs.lean,Mathlib/Data/DigitExpansion/Hensel.lean,Mathlib/Data/DigitExpansion/Integer/Basic.lean,Mathlib/Data/DigitExpansion/Integer/Mul.lean,Mathlib/Data/DigitExpansion/Real/Basic.lean,Mathlib/Data/DigitExpansion/Real/CompleteSpace.lean,Mathlib/Data/DigitExpansion/Real/ConditionallyComplete.lean,docs/references.bib |
10 |
4 |
['github-actions', 'leanprover-community-mathlib4-bot'] |
nobody |
610-25490 1 year ago |
728-58109 728 days ago |
0-600 10 minutes |
| 16984 |
hrmacbeth author:hrmacbeth |
feat: extend `module` tactic to handle multiple rings, not strictly ordered by inclusion |
The `module` tactic currently in Mathlib handles scalars from multiple rings, but only if for any two rings `R` and `S` which appear, either `R` is an algebra over `S` or vice versa. This PR extends the tactic by providing a syntax `module T`, which will handle scalars from any ring `R` which `T` is an algebra over.
For example,
```lean
example : (2:ℤ) • x = (2:ℚ≥0) • x := by module
```
fails since `ℤ` is not a `ℚ≥0`-algebra and `ℚ≥0` is not a `ℤ`-algebra, but
```lean
example : (2:ℤ) • x = (2:ℚ≥0) • x := by module ℚ
```
works since `ℚ` is both a `ℤ`-algebra and a `ℚ≥0`-algebra.
This PR is a quick proof-of-concept implementation, just to record the desired approach and tactic syntax. It should not be merged as-is. It has with a lot of code duplication and should be rewritten more efficiently (for example, `parse` and `parseEnsuringType` should be merged to a single function, and the `some`/`none` cases in `matchScalarsAux` should be merged to a uniform treatment) before being considered for merging to Mathlib.
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-meta
|
158/35 |
Mathlib/Tactic/Module.lean,test/module.lean |
2 |
1 |
['github-actions'] |
nobody |
608-10762 1 year ago |
unknown |
0-0 0 seconds |
| 12750 |
Command-Master author:Command-Master |
feat: define Gray code |
---
Define binary reflected gray code, both as a permutation of `Nat` and as a permutation of `BitVec n`, and prove some theorems about them. Additionally, remove `@[simp]` from `Nat.bit_false` and `Nat.bit_true`, as `bit0` and `bit1` are deprecated, and add some lemmas to `Bits`, `Bitwise` and `Size`.
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- [ ] depends on: #12751
[](https://gitpod.io/from-referrer/)
|
blocked-by-other-PR
t-data
new-contributor
merge-conflict
awaiting-author
|
226/0 |
Mathlib.lean,Mathlib/Data/Nat/Bits.lean,Mathlib/Data/Nat/Bitwise.lean,Mathlib/Data/Nat/GrayCode.lean,Mathlib/Data/Nat/Size.lean |
5 |
5 |
['Rida-Hamadani', 'alreadydone', 'github-actions', 'grunweg', 'leanprover-community-mathlib4-bot'] |
nobody |
605-76406 1 year ago |
754-58504 754 days ago |
16-49744 16 days |
| 12414 |
adomani author:adomani |
test: lint and unlint `·` |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict |
64/14 |
Archive/Wiedijk100Theorems/CubingACube.lean,Mathlib/Algebra/Module/Submodule/Bilinear.lean,Mathlib/Tactic/Linter/Multigoal.lean,test/Multigoal.lean |
4 |
4 |
['adomani', 'github-actions', 'grunweg', 'leanprover-bot'] |
nobody |
603-72947 1 year ago |
unknown |
0-0 0 seconds |
| 16647 |
eric-wieser author:eric-wieser |
feat: partitions of lists |
The length of this list is the bell numbers.
---
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PR is merged. Please leave a blank newline before the `---`, otherwise
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-combinatorics
t-data
|
311/0 |
Mathlib.lean,Mathlib/Data/List/Partition.lean |
2 |
1 |
['github-actions'] |
nobody |
601-7021 1 year ago |
unknown |
0-0 0 seconds |
| 13514 |
madvorak author:madvorak |
feat(Computability/ContextFreeGrammar): closure under union |
- [ ] depends on: #15895
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-computability
blocked-by-other-PR
|
448/4 |
Mathlib/Computability/ContextFreeGrammar.lean |
1 |
50 |
['Rida-Hamadani', 'YaelDillies', 'github-actions', 'leanprover-community-mathlib4-bot', 'madvorak'] |
nobody |
593-1334 1 year ago |
670-61715 670 days ago |
72-28417 72 days |
| 5364 |
thorimur author:thorimur |
feat: `wlog ... replacing` |
This allows hypotheses to be removed from the set of generalized hypotheses. E.g. `wlog h : P replacing h'` will remove `h'` from the hypotheses of the type of `this` and from the context of the goal that will suppose `h`. See [zulip](https://leanprover.zulipchat.com/#narrow/stream/287929-mathlib4/topic/wlog.20.2E.2E.2E.20replacing.20.2E.2E.2E.3F).
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-meta
|
125/18 |
Mathlib/Tactic/WLOG.lean,test/wlog.lean |
2 |
2 |
['thorimur', 'urkud'] |
nobody |
591-34373 1 year ago |
unknown |
0-0 0 seconds |
| 9654 |
urkud author:urkud |
feat: add `@[mk_eq]` version of `@[mk_iff]` |
The new attribute generates theorems like
```lean
List.chain_eq : @List.Chain = fun {α} R a a_1 => a_1 = [] ∨ ∃ b l, R a b ∧ List.Chain R b l ∧ a_1 = b :: l
```
and is useful to rewrite in a theorem that argues about the properties of an unapplied inductive predicate.
---
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|
merge-conflict
awaiting-author
t-meta
|
63/9 |
Mathlib/Lean/Meta.lean,Mathlib/Tactic/MkIffOfInductiveProp.lean,test/MkIffOfInductive.lean |
3 |
6 |
['Vierkantor', 'github-actions', 'urkud'] |
nobody |
591-34127 1 year ago |
862-83826 862 days ago |
25-70825 25 days |
| 16704 |
AntoineChambert-Loir author:AntoineChambert-Loir |
feat(Mathlib.Data.Ordering.Dickson): Dickson orders |
Dickson orders are a particular class of well founded orders
characterized by the fact that every nonempty set has finitely many minimal elements.
They appear in the classical theory of Groebner bases because it is easier to prove
that some sets are well founded using this property.
WiP. In the `tfae` function, property 2 is exactly `Set.PartiallyWellOrderedOn`, so the PR should be rewritten so as to use that property (and not define `IsDickson`).
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
WIP
t-order
|
324/0 |
Mathlib.lean,Mathlib/Data/Ordering/Dickson.lean,scripts/noshake.json |
3 |
9 |
['AntoineChambert-Loir', 'b-mehta', 'github-actions'] |
nobody |
591-12684 1 year ago |
642-1515 642 days ago |
2-84515 2 days |
| 16355 |
Ruben-VandeVelde author:Ruben-VandeVelde |
feat: odd_{add,sub}_one |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebra
awaiting-author
t-number-theory
label:t-algebra$ |
12/0 |
Mathlib/Algebra/Ring/Int.lean,Mathlib/Algebra/Ring/Parity.lean |
2 |
4 |
['Ruben-VandeVelde', 'github-actions', 'urkud'] |
nobody |
590-46881 1 year ago |
655-35327 655 days ago |
0-57608 16 hours |
| 8638 |
alreadydone author:alreadydone |
refactor: noncommutative tensor product |
Co-authored-by: Eric Wieser <wieser.eric@gmail.com>
Co-authored-by: Jujian Zhang <jujian.zhang1998@outlook.com>
This draft PR currently only generalizes a single file TensorProduct.lean; it allows TensorProduct to be taken over a non-commutative ring. Most of the declarations in TensorProduct.lean are now generalized to the non-commutative setting, and very few are deleted (their commutative version will be restored in another file).
Next plans:
+ Change the namespace in TensorProduct.lean from TensorProduct to NonCommTensorProduct, and remove the #aligns
+ I plan to use the same notation for the non-commutative and the commutative TensorProduct, and the user will need to `open scoped` different namespaces to use the one of their choice.
+ Start a new file TensorProduct/Comm.lean, copy the content of TensorProduct.lean on master into it, change the definition TensorProduct to be semi-reducibly defeq to NonCommTensorProduct (in order to support more instances or unify non-defeq instances that become prop-eq in the commutative setting, e.g. we've chosen the R-action on a tensor product over commutative R to come from the left factor, since the action from the right factor is the same), and reuse the NonComm constructions as much as possible. We then change all files that imports TensorProduct.lean to import TensorProduct/Comm.lean instead. Once we do that, mathlib would compile and this PR would be complete. We can gradually generalize other files about tensor products this way.
In this PR:
`TensorProduct.map` is now defined in terms of `lTensor` and `rTensor` rather than the other way around, which requires moving `lTensor` and `rTensor` up from their original location. The definition of `rid` also becomes more challenging and is moved down.
An evident observation is that actions on the domain of AddMonoidHom / LinearMap is really natural in the context of tensor products and Hom-tensor adjunction (`TensorProduct.lift`), not the default actions on the codomain. For example, it allows us to write the "balanced biadditive monoid homs" in #8536 as simply `N →ₗ[R] M →+ P` (where the right R-action on M turns into the left action on `M →+ P`).
For this reason, we disable the default instances `AddMonoidHom/LinearMap.module` at the beginning of the file and enable the `AddMonoidHom/LinearMap.domModule` instances instead. (The action on the codomain would be necessary for the non-commutative version of [TensorProduct.lTensorHomToHomLTensor](https://leanprover-community.github.io/mathlib4_docs/Mathlib/LinearAlgebra/TensorProduct.html#TensorProduct.lTensorHomToHomLTensor) (in the form of `P ⊗[R] (M →+ Q) →+ M →+ P ⊗[R] Q`), but I've deleted it for now.)
We register actions on the left factor of a tensor product as the default instance, but we also talk about actions on the right factor (`attribute [local instance] rightModule`).
The Tensor-Hom adjunction #8495 is now `uncurryEquiv` in this PR.
#8519 is now included in this PR and #8584 is now called `lift` in this PR.
`CharacterModule.homEquiv` in #8559 can be obtained by combining `liftEquiv` and `flipMop` in this PR (except for a mop). To refactor the commutative tensor product, we'd need to transfer many R^mop-action to R-action and R^mop-LinearMaps to R-LinearMaps, which can be achieved via `Module.compHom` and `LinearMap.restrictScalars` (requires `LinearMap.CompatibleSMul` instance) given `RingEquiv.toOpposite`. `LinearMap.characterfy` and `CharacterModule.cong` could be obtained from `LinearMap.compAddMonoidHom` in this PR.
TODO:
+ Move delarations that belong to other files.
+ Change docstrings that are no longer accurate.
+ Fix some argument order to be more natural.
---
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|
merge-conflict
WIP
t-algebra
label:t-algebra$ |
793/676 |
Mathlib/Algebra/Module/LinearMap.lean,Mathlib/GroupTheory/GroupAction/DomAct/Basic.lean,Mathlib/LinearAlgebra/TensorProduct.lean |
3 |
6 |
['alreadydone', 'eric-wieser', 'grhkm21', 'jjaassoonn'] |
nobody |
589-73094 1 year ago |
unknown |
0-0 0 seconds |
| 14598 |
Command-Master author:Command-Master |
chore: add typeclasses to unify various `add_top`, `add_eq_top`, etc. |
Add the four typeclasses `IsTopAbsorbing`, `IsBotAbsorbing`, `NoTopSum`, `NoBotSum`, as additive equivalents for `MulZeroClass` and `NoZeroDivisors`. Add instances of these for `ENNReal`, `WithTop α`, `WithBot α`, `PUnit`, `EReal`, `PartENat`, `Measure`, `Interval` and `Filter`.
Also split `Algebra/Order/AddGroupWithTop` to `Algebra/Order/Group/WithTop` and `Algebra/Order/Monoid/WithTop`
---
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Previous usages of lemmas with quantified names like `WithTop.add_top` have to be changed to just `add_top`.
`add_lt_top` is `@[simp]`, in accordance with `ENNReal.add_lt_top` being `@[simp]`. This affects `WithTop.add_lt_top` which previously hadn't been `@[simp]`.
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebra
t-order
new-contributor
label:t-algebra$ |
264/195 |
Archive/Wiedijk100Theorems/BallotProblem.lean,Mathlib.lean,Mathlib/Algebra/Order/Group/WithTop.lean,Mathlib/Algebra/Order/GroupWithZero/Canonical.lean,Mathlib/Algebra/Order/Interval/Basic.lean,Mathlib/Algebra/Order/Monoid/Unbundled/Basic.lean,Mathlib/Algebra/Order/Monoid/Unbundled/Defs.lean,Mathlib/Algebra/Order/Monoid/Unbundled/WithTop.lean,Mathlib/Algebra/Order/Monoid/WithTop.lean,Mathlib/Algebra/PUnitInstances/Order.lean,Mathlib/Algebra/Polynomial/Degree/Definitions.lean,Mathlib/Algebra/Polynomial/Monic.lean,Mathlib/Algebra/Tropical/Basic.lean,Mathlib/Analysis/Analytic/Meromorphic.lean,Mathlib/Analysis/Normed/Lp/ProdLp.lean,Mathlib/Analysis/NormedSpace/ENorm.lean,Mathlib/Analysis/SpecialFunctions/JapaneseBracket.lean,Mathlib/Analysis/SpecialFunctions/Log/ENNRealLog.lean,Mathlib/Data/ENNReal/Operations.lean,Mathlib/Data/ENat/Basic.lean,Mathlib/Data/Nat/PartENat.lean,Mathlib/Data/Nat/WithBot.lean,Mathlib/Data/Real/EReal.lean,Mathlib/LinearAlgebra/Lagrange.lean,Mathlib/MeasureTheory/Covering/Differentiation.lean,Mathlib/MeasureTheory/Decomposition/Lebesgue.lean,Mathlib/MeasureTheory/Function/ConditionalExpectation/CondexpL1.lean,Mathlib/MeasureTheory/Function/Jacobian.lean,Mathlib/MeasureTheory/Function/L1Space.lean,Mathlib/MeasureTheory/Function/L2Space.lean,Mathlib/MeasureTheory/Function/LpSeminorm/Basic.lean,Mathlib/MeasureTheory/Function/LpSeminorm/TriangleInequality.lean,Mathlib/MeasureTheory/Function/LpSpace.lean,Mathlib/MeasureTheory/Function/StronglyMeasurable/Basic.lean,Mathlib/MeasureTheory/Function/UniformIntegrable.lean,Mathlib/MeasureTheory/Integral/Bochner.lean,Mathlib/MeasureTheory/Integral/MeanInequalities.lean,Mathlib/MeasureTheory/Integral/SetIntegral.lean,Mathlib/MeasureTheory/Integral/VitaliCaratheodory.lean,Mathlib/MeasureTheory/Measure/Hausdorff.lean,Mathlib/MeasureTheory/Measure/Lebesgue/Basic.lean,Mathlib/MeasureTheory/Measure/LevyProkhorovMetric.lean,Mathlib/MeasureTheory/Measure/MeasureSpace.lean,Mathlib/MeasureTheory/Measure/MeasureSpaceDef.lean,Mathlib/MeasureTheory/Measure/Regular.lean,Mathlib/MeasureTheory/Measure/Typeclasses.lean,Mathlib/NumberTheory/Padics/PadicNumbers.lean,Mathlib/Order/Filter/Pointwise.lean,Mathlib/Probability/Kernel/Defs.lean,Mathlib/Probability/Martingale/Convergence.lean,Mathlib/RingTheory/Multiplicity.lean,Mathlib/RingTheory/MvPowerSeries/NoZeroDivisors.lean,Mathlib/RingTheory/UniqueFactorizationDomain.lean,Mathlib/Topology/EMetricSpace/Defs.lean,Mathlib/Topology/MetricSpace/Bounded.lean,Mathlib/Topology/MetricSpace/HausdorffDistance.lean,Mathlib/Topology/MetricSpace/Lipschitz.lean |
57 |
30 |
['Command-Master', 'YaelDillies', 'github-actions'] |
nobody |
589-18282 1 year ago |
589-18282 589 days ago |
7-45599 7 days |
| 18636 |
adomani author:adomani |
Test/latest import report dev |
This PR is a test accompanying #18631.
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
CI
|
147/0 |
.github/workflows/latest_import.yml,lakefile.lean |
2 |
1 |
['github-actions'] |
nobody |
588-5553 1 year ago |
unknown |
0-0 0 seconds |
| 16885 |
metinersin author:metinersin |
feat(ModelTheory/Complexity): define literals |
Defines `FirstOrder.Language.BoundedFormula.IsLiteral` and `FirstOrder.Language.BoundedFormula.simpleNot` - an auxiliary operation that takes the negation of a formula and does some simplification.
---
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- [x] depends on: #16800
[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
new-contributor
t-logic
|
148/5 |
Mathlib/ModelTheory/Complexity.lean,Mathlib/ModelTheory/Equivalence.lean,Mathlib/ModelTheory/Semantics.lean,Mathlib/ModelTheory/Syntax.lean |
4 |
20 |
['YaelDillies', 'awainverse', 'github-actions', 'mathlib4-dependent-issues-bot', 'metinersin'] |
nobody |
586-60803 1 year ago |
622-50115 622 days ago |
0-19926 5 hours |
| 18716 |
jjaassoonn author:jjaassoonn |
feat(Algebra/Module/GradedModule): quotient and subgrading |
<!-- The text above the `---` will become the commit message when your
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- [ ] depends on: #9820
[](https://gitpod.io/from-referrer/)
|
WIP
t-algebra
blocked-by-other-PR
awaiting-CI
merge-conflict
label:t-algebra$ |
997/191 |
Counterexamples/HomogeneousPrimeNotPrime.lean,Mathlib.lean,Mathlib/Algebra/Group/Subgroup/Defs.lean,Mathlib/Algebra/Module/GradedModule/Basic.lean,Mathlib/Algebra/Module/GradedModule/QuotientGrading.lean,Mathlib/Algebra/Module/GradedModule/Subgrading.lean,Mathlib/AlgebraicGeometry/ProjectiveSpectrum/Topology.lean,Mathlib/RingTheory/GradedAlgebra/Homogeneous/Ideal.lean,Mathlib/RingTheory/GradedAlgebra/Homogeneous/Submodule.lean,Mathlib/RingTheory/GradedAlgebra/Quotient.lean,Mathlib/RingTheory/GradedAlgebra/Radical.lean,scripts/no_lints_prime_decls.txt |
12 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
586-60434 1 year ago |
unknown |
0-0 0 seconds |
| 9341 |
winstonyin author:winstonyin |
feat: Naturality of integral curves |
Let `v` and `v'` be sections of the tangent bundle of manifolds `M` and `M'`, respectively, and let `f : M → M'` be a differentiable map. Then `f` maps integral curves of `v` to integral curves of `v'` if and only if `v` and `v'` are `f`-related.
- [x] depends on: #8483
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-differential-geometry
|
45/0 |
Mathlib/Geometry/Manifold/IntegralCurve.lean,Mathlib/Topology/Algebra/Module/Basic.lean |
2 |
9 |
['github-actions', 'grunweg', 'leanprover-community-mathlib4-bot', 'winstonyin'] |
nobody |
583-26226 1 year ago |
890-82696 890 days ago |
0-28222 7 hours |
| 13248 |
hcWang942 author:hcWang942 |
feat: basic concepts of auction theory |
## Description
Formalise some core concepts and results in auction theory: this includes definitions for first-price and second-price auctions, as well as several fundamental results and helping lemmas.
This is the very first PR of the project formalizing core concepts and results in auction theory.
Our group is working on more contributions on the formalization of game theory prefix.
Co-authored-by: Ma Jiajun <hoxide@gmail.com>
## Reference
Roughgarden, Tim. ***Twenty Lectures on Algorithmic Game Theory***. Cambridge University Press, 2020. [Link](https://www.cambridge.org/core/books/twenty-lectures-on-algorithmic-game-theory/A9D9427C8F43E7DAEF8C702755B6D72B)
---
- [x] Will depend on #14163 once that PR is merged. The Fintype lemmas introduced by this PR have been added in that PR and will be removed from here once that PR gets merged
## Current plan for formalization of Game Theory
The current plan for the formalizing of Game Theory include:
#### 1. Auction Theory. 🎉 _(200+ lines, this PR)_
- Essential definitions of Sealed-bid auction, First-price auction and Second-price auction.
- First-price auction has no dominant strategy.
- Second-price auction has dominant strategy. (Second-price auction is DSIC)
#### 2. Mechanism design & Myerson's Lemma. 🎉 (400+ lines, pending for modification to Mathlib Standard)
- Mechanism design
An allocation rule is implementable if there exists
- Dominant Strategy Incentive Compatible (DSIC) payment rule
- An allocation rule is monotone if for every bidder’s gain is nondecreasing w.r.t. her/his bid
- Myerson's Lemma
Implementable ⇔ Monotone
In the above case, the DSIC payment rule is unique.
#### 3. von Neumann‘s Minimax Theorem. 🎉 (800+ lines, pending for modification to Mathlib Standard)
- Equilibrium in zero sum game
- Formalization strategy: via Loomis’s theorem.
#### 4. Nash Equilibrium. 🎉 (pending for modification to Mathlib Standard)
#### 5. Brouwer fixed-point theorem. (Work in Progress)
#### 6. More Mechanism design. (Planning)
|
merge-conflict
awaiting-author
new-contributor
t-logic
|
204/0 |
Mathlib.lean,Mathlib/GameTheory/Auction/Basic.lean,docs/references.bib |
3 |
148 |
['Shreyas4991', 'YaelDillies', 'eric-wieser', 'faenuccio', 'github-actions', 'grunweg', 'hcWang942', 'tb65536', 'urkud', 'vihdzp'] |
hcWang942 assignee:hcWang942 |
582-13235 1 year ago |
595-85823 595 days ago |
109-82807 109 days |
| 17675 |
FR-vdash-bot author:FR-vdash-bot |
perf: do not search algebraic hierarchy when searching `FunLike` hierarchy |
---
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PR is merged. Please leave a blank newline before the `---`, otherwise
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Unification is still very slow.
[](https://gitpod.io/from-referrer/)
|
merge-conflict
slow-typeclass-synthesis
t-algebra
label:t-algebra$ |
144/4 |
Mathlib.lean,Mathlib/Algebra/Algebra/Equiv.lean,Mathlib/Algebra/Algebra/Hom.lean,Mathlib/Algebra/Algebra/NonUnitalHom.lean,Mathlib/Algebra/Algebra/Rat.lean,Mathlib/Algebra/Group/Equiv/Basic.lean,Mathlib/Algebra/GroupWithZero/Hom.lean,Mathlib/Algebra/Module/Equiv/Defs.lean,Mathlib/Algebra/Module/LinearMap/Defs.lean,Mathlib/Algebra/Order/Hom/Basic.lean,Mathlib/Algebra/Ring/CentroidHom.lean,Mathlib/Algebra/Ring/Equiv.lean,Mathlib/Algebra/Ring/Hom/Defs.lean,Mathlib/Algebra/Star/StarAlgHom.lean,Mathlib/Analysis/Normed/Algebra/Spectrum.lean,Mathlib/Analysis/Normed/Operator/LinearIsometry.lean,Mathlib/GroupTheory/GroupAction/Hom.lean,Mathlib/RingTheory/Bialgebra/Equiv.lean,Mathlib/RingTheory/Bialgebra/Hom.lean,Mathlib/RingTheory/Coalgebra/Equiv.lean,Mathlib/Topology/Algebra/Module/Basic.lean,Mathlib/Util/SetSynthOrder.lean,MathlibTest/TCSynth.lean,scripts/noshake.json |
24 |
5 |
['astrainfinita', 'github-actions', 'leanprover-bot'] |
nobody |
581-74768 1 year ago |
unknown |
0-0 0 seconds |
| 9344 |
erdOne author:erdOne |
feat: Add `AddGroup.FG` -> `Module.Finite ℤ` as instances |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-algebra
label:t-algebra$ |
4/0 |
Mathlib/RingTheory/Finiteness.lean |
1 |
4 |
['alreadydone', 'erdOne', 'leanprover-bot'] |
nobody |
580-84028 1 year ago |
879-84471 879 days ago |
21-27905 21 days |
| 12133 |
ADedecker author:ADedecker |
feat: generalize instIsLowerProd to arbitrary products |
Also change a bit the proof of the product case to match my own taste, feel free to tell if you prefer the old one.
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-topology
t-order
|
34/14 |
Mathlib/Topology/Constructions.lean,Mathlib/Topology/Order/LowerUpperTopology.lean |
2 |
13 |
['Ruben-VandeVelde', 'TwoFX', 'github-actions', 'jcommelin', 'mans0954', 'mathlib-bors', 'riccardobrasca'] |
nobody |
580-7382 1 year ago |
731-3018 731 days ago |
63-69226 63 days |
| 16637 |
FR-vdash-bot author:FR-vdash-bot |
perf: reorder `extends` of `(Add)Monoid` |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
WIP
t-algebra
label:t-algebra$ |
46/51 |
Mathlib/Algebra/Algebra/Hom.lean,Mathlib/Algebra/BigOperators/Ring/List.lean,Mathlib/Algebra/GCDMonoid/Basic.lean,Mathlib/Algebra/Group/Defs.lean,Mathlib/Algebra/Group/Ext.lean,Mathlib/Algebra/Group/Opposite.lean,Mathlib/Algebra/Group/Prod.lean,Mathlib/Algebra/Order/Group/Unbundled/Abs.lean,Mathlib/Algebra/Polynomial/Roots.lean,Mathlib/Algebra/Ring/SumsOfSquares.lean,Mathlib/CategoryTheory/Preadditive/FunctorCategory.lean,Mathlib/Data/Finset/NoncommProd.lean,Mathlib/GroupTheory/Congruence/Defs.lean,Mathlib/GroupTheory/Torsion.lean,Mathlib/LinearAlgebra/LinearPMap.lean,Mathlib/LinearAlgebra/TensorProduct/Basic.lean,Mathlib/Order/Filter/Germ/Basic.lean,Mathlib/RingTheory/Bialgebra/Hom.lean,Mathlib/RingTheory/Coalgebra/Hom.lean,Mathlib/RingTheory/TensorProduct/MvPolynomial.lean |
20 |
3 |
['astrainfinita', 'github-actions', 'leanprover-bot'] |
nobody |
580-6620 1 year ago |
645-13976 645 days ago |
1-49655 1 day |
| 18765 |
FR-vdash-bot author:FR-vdash-bot |
chore: changing `outParam` of `MulActionSemiHomClass` |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebra
label:t-algebra$ |
60/34 |
Mathlib/Algebra/Algebra/NonUnitalHom.lean,Mathlib/Algebra/Category/ModuleCat/Limits.lean,Mathlib/Algebra/Module/LinearMap/Defs.lean,Mathlib/GroupTheory/GroupAction/Hom.lean |
4 |
4 |
['astrainfinita', 'github-actions', 'leanprover-bot'] |
nobody |
579-49281 1 year ago |
unknown |
0-0 0 seconds |
| 15822 |
kmill author:kmill |
feat: greedy colorings of finite graphs |
Proves that the greedy coloring only takes `G.maxDegree + 1` colors.
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-combinatorics
|
159/0 |
Mathlib/Combinatorics/SimpleGraph/ConcreteColorings.lean |
1 |
1 |
['github-actions'] |
nobody |
576-74474 1 year ago |
unknown |
0-0 0 seconds |
| 8661 |
joelriou author:joelriou |
feat(CategoryTheory/Sites): descent of sheaves |
In this PR, it is shown that the category of sheaves on a site `(C, J)` identifies as a full subcategory of a category of families of sheaves equipped with a descent data (for a family of objects which cover the final object). Under suitable conditions, it shall be shown that this is an equivalence of categories (TODO).
---
This shall be split in small PRs later.
- [x] depends on: #8622
- [x] depends on: #8632
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|
merge-conflict
WIP
t-category-theory
|
1396/26 |
Mathlib.lean,Mathlib/CategoryTheory/Over.lean,Mathlib/CategoryTheory/Sites/CoverPreserving.lean,Mathlib/CategoryTheory/Sites/Descent.lean,Mathlib/CategoryTheory/Sites/EqualizerSheafCondition.lean,Mathlib/CategoryTheory/Sites/InducedTopology.lean,Mathlib/CategoryTheory/Sites/ObjectsCoverTop.lean,Mathlib/CategoryTheory/Sites/Over.lean,Mathlib/CategoryTheory/Sites/SheafHom.lean,Mathlib/CategoryTheory/Sites/Sieves.lean |
10 |
3 |
['github-actions', 'leanprover-community-mathlib4-bot'] |
nobody |
576-70002 1 year ago |
unknown |
0-0 0 seconds |
| 19055 |
JLimperg author:JLimperg |
Test precompilation (batteries + aesop) again |
|
merge-conflict |
9/8 |
lake-manifest.json,lakefile.lean |
2 |
5 |
['JLimperg', 'github-actions', 'leanprover-bot'] |
nobody |
576-51645 1 year ago |
unknown |
0-0 0 seconds |
| 10476 |
shuxuezhuyi author:shuxuezhuyi |
feat(Topology/UniformSpace): define uniform preordered space |
We define the semi-uniform structure and the uniform preordered space.
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-topology
|
94/0 |
Mathlib.lean,Mathlib/Topology/UniformSpace/UniformOrder.lean,docs/references.bib |
3 |
2 |
['shuxuezhuyi'] |
nobody |
575-56656 1 year ago |
803-84084 803 days ago |
52-19273 52 days |
| 17593 |
astrainfinita author:astrainfinita |
chore(Algebra/Order/GroupWithZero/Unbundled): deprecate useless lemmas, use `ZeroLEOneClass` |
There are still some useless lemmas that were simply ported from `Algebra.Order.Monoid.Lemmas`, such as just chain an existing lemma with an assumption and lemmas whose assumptions imply `1 ≤ 0`. This PR removes them.
Also, some lemmas have both assumptions like `1 < a` `0 < a`. This PR uses `ZeroLEOneClass` to remove redundant assumptions.
---
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PR is merged. Please leave a blank newline before the `---`, otherwise
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- [ ] depends on: #17623
Ported from https://github.com/leanprover-community/mathlib/pull/16525 and https://github.com/leanprover-community/mathlib/pull/18158
Adapted from #9250. This version is easier to review.
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebra
blocked-by-other-PR
t-order
label:t-algebra$ |
188/48 |
Archive/Wiedijk100Theorems/BuffonsNeedle.lean,Mathlib/Algebra/Order/GroupWithZero/Canonical.lean,Mathlib/Algebra/Order/GroupWithZero/Unbundled.lean,Mathlib/Combinatorics/SimpleGraph/Triangle/Counting.lean,Mathlib/RingTheory/DedekindDomain/FiniteAdeleRing.lean,Mathlib/Topology/Algebra/Order/Field.lean |
6 |
4 |
['astrainfinita', 'github-actions', 'mathlib4-dependent-issues-bot', 'vihdzp'] |
nobody |
574-79998 1 year ago |
615-65579 615 days ago |
0-74903 20 hours |
| 17623 |
FR-vdash-bot author:FR-vdash-bot |
feat(Algebra/Order/GroupWithZero/Unbundled): add some lemmas |
Some lemmas in `Algebra.Order.GroupWithZero.Unbundled` have incorrect or unsatisfactory names, or assumptions that can be omitted using `ZeroLEOneClass`. The lemmas added in this PR are versions of existing lemmas that use the correct or better name or `ZeroLEOneClass` to omit an assumption. The original lemmas will be deprecated in #17593.
| New name | Old name |
|-------------------------|-------------------------|
| `mul_le_one_left₀` | `Left.mul_le_one_of_le_of_le` |
| `mul_lt_one_of_le_of_lt_left₀` (`0 ≤ ·` version) / `mul_lt_one_of_le_of_lt_of_pos_left` | `Left.mul_lt_of_le_of_lt_one_of_pos` |
| `mul_lt_one_of_lt_of_le_left₀` | `Left.mul_lt_of_lt_of_le_one_of_nonneg` |
| `mul_le_one_right₀` | `Right.mul_le_one_of_le_of_le` |
| `mul_lt_one_of_lt_of_le_right₀` (`0 ≤ ·` version) / `mul_lt_one_of_lt_of_le_of_pos_right` | `Right.mul_lt_one_of_lt_of_le_of_pos` |
| `mul_lt_one_of_le_of_lt_right₀` | `Right.mul_lt_one_of_le_of_lt_of_nonneg` |
The following lemmas use `ZeroLEOneClass`.
| New name | Old name |
|-------------------------|-------------------------|
| `(Left.)one_le_mul₀` | `Left.one_le_mul_of_le_of_le` |
| `Left.one_lt_mul_of_le_of_lt₀` | `Left.one_lt_mul_of_le_of_lt_of_pos` |
| `Left.one_lt_mul_of_lt_of_le₀` | `Left.lt_mul_of_lt_of_one_le_of_nonneg` / `one_lt_mul_of_lt_of_le` (still there) |
| `(Left.)one_lt_mul₀` | |
| `Right.one_le_mul₀` | `Right.one_le_mul_of_le_of_le` |
| `Right.one_lt_mul_of_lt_of_le₀` | `Right.one_lt_mul_of_lt_of_le_of_pos` |
| `Right.one_lt_mul_of_le_of_lt₀` | `Right.one_lt_mul_of_le_of_lt_of_nonneg` / `one_lt_mul_of_le_of_lt` (still there) / `one_lt_mul` (still there) |
| `Right.one_lt_mul₀` | `Right.one_lt_mul_of_lt_of_lt` |
---
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Split from #17593.
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebra
awaiting-zulip
t-order
label:t-algebra$ |
146/44 |
Mathlib/Algebra/Order/GroupWithZero/Canonical.lean,Mathlib/Algebra/Order/GroupWithZero/Unbundled.lean |
2 |
11 |
['YaelDillies', 'astrainfinita', 'github-actions', 'j-loreaux'] |
nobody |
574-79998 1 year ago |
581-72557 581 days ago |
33-64877 33 days |
| 18969 |
alreadydone author:alreadydone |
chore: generalize Module to NonUnitalSemiring |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
WIP
t-algebra
label:t-algebra$ |
94/75 |
Mathlib/Algebra/Category/ModuleCat/Presheaf.lean,Mathlib/Algebra/Group/Action/Defs.lean,Mathlib/Algebra/Group/Action/End.lean,Mathlib/Algebra/Group/Action/Prod.lean,Mathlib/Algebra/Group/Action/TypeTags.lean,Mathlib/Algebra/GroupWithZero/Action/Defs.lean,Mathlib/Algebra/Module/Defs.lean,Mathlib/Algebra/Module/Submodule/Defs.lean,Mathlib/Algebra/Polynomial/Div.lean,Mathlib/Algebra/Polynomial/Laurent.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Group.lean,Mathlib/AlgebraicGeometry/Limits.lean,Mathlib/AlgebraicGeometry/ProjectiveSpectrum/Scheme.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Order.lean,Mathlib/Analysis/Distribution/SchwartzSpace.lean,Mathlib/Geometry/Manifold/Instances/Sphere.lean,Mathlib/GroupTheory/CoprodI.lean,Mathlib/LinearAlgebra/FreeModule/IdealQuotient.lean,Mathlib/LinearAlgebra/LinearDisjoint.lean,Mathlib/LinearAlgebra/Matrix/SesquilinearForm.lean,Mathlib/LinearAlgebra/TensorProduct/Submodule.lean,Mathlib/RingTheory/Filtration.lean,Mathlib/RingTheory/Flat/FaithfullyFlat.lean,Mathlib/RingTheory/Ideal/Cotangent.lean,Mathlib/RingTheory/Ideal/Defs.lean,Mathlib/RingTheory/Ideal/Lattice.lean,Mathlib/RingTheory/Ideal/Operations.lean,Mathlib/RingTheory/Ideal/Prod.lean,Mathlib/RingTheory/Presentation.lean,Mathlib/RingTheory/Smooth/Kaehler.lean,Mathlib/RingTheory/TensorProduct/MvPolynomial.lean |
31 |
11 |
['alreadydone', 'eric-wieser', 'github-actions', 'leanprover-bot'] |
nobody |
573-17250 1 year ago |
unknown |
0-0 0 seconds |
| 17624 |
FR-vdash-bot author:FR-vdash-bot |
feat(Algebra/Order/GroupWithZero/Unbundled): generalize lemmas |
---
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- [ ] depends on: #17623
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebra
blocked-by-other-PR
t-order
label:t-algebra$ |
121/26 |
Mathlib/Algebra/Order/GroupWithZero/Unbundled.lean |
1 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
571-30770 1 year ago |
615-64449 615 days ago |
0-465 7 minutes |
| 17513 |
FR-vdash-bot author:FR-vdash-bot |
perf: do not search algebraic hierarchies when using `map_*` lemmas |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
WIP
t-algebra
awaiting-bench
label:t-algebra$ |
5/3 |
Mathlib/Algebra/Group/Hom/Defs.lean,Mathlib/GroupTheory/GroupAction/Hom.lean |
2 |
10 |
['astrainfinita', 'github-actions', 'grunweg', 'leanprover-bot'] |
nobody |
569-76192 1 year ago |
613-78057 613 days ago |
4-72589 4 days |
| 17515 |
FR-vdash-bot author:FR-vdash-bot |
perf: do not need `simp low` now |
---
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- [ ] depends on: #17513
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebra
blocked-by-other-PR
label:t-algebra$ |
12/10 |
Mathlib/Algebra/Group/Hom/Defs.lean,Mathlib/Analysis/SpecialFunctions/Bernstein.lean,Mathlib/GroupTheory/GroupAction/Hom.lean,Mathlib/NumberTheory/LucasLehmer.lean |
4 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
569-76191 1 year ago |
618-63703 618 days ago |
0-380 6 minutes |
| 19212 |
Julian author:Julian |
feat(LinearAlgebra): add a variable_alias for VectorSpace |
Taken directly from the variable_alias docs.
Zulip: https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/why.20.5Bvariable_alias.5D.20attribute.20is.20not.20used.20in.20Mathlib.3F
---
This is the first actual variable alias added to mathlib. I haven't reviewed variable_alias fully, but it seems like there's at least 3 ways they could be distributed in Mathlib:
* alongside whatever subfolder they "belong to" (which is what I've tentatively done here)
* In a file called `Aliases` somewhere near the thing they alias (which seems less discoverable to me)
* In a single file, a la `Mathlib.TrainingWheels` (with some less playful name) which is meant to define a bunch of more "friendly" aliases all in one place.
I kind of like the idea of the third thing as a future module but perhaps it can be synthesized if/when there are more aliases? For now as I say I've done the first one, but please let me know if someone prefers something else.
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebra
label:t-algebra$ |
25/0 |
Mathlib.lean,Mathlib/LinearAlgebra/VectorSpace.lean,scripts/noshake.json |
3 |
10 |
['Julian', 'PieterCuijpers', 'github-actions', 'urkud'] |
nobody |
568-81437 1 year ago |
568-81437 568 days ago |
7-68089 7 days |
| 19337 |
zeramorphic author:zeramorphic |
feat(Data/Finsupp): generalise `Finsupp` to any "zero" value |
Remove the explicit dependence of `Finsupp` on `[Zero M]`, instead defining `Finsupp'` (better name pending) to be functions that are equal to a fixed value `z : M` cofinitely often.
This PR is intended to do the initial work of replacing the definition of `Finsupp` with an instantiation of the more general definition, without adding any appropriate API. If accepted, the API development will follow in later PRs.
Issues to consider:
- Naming of `Finsupp'.`
- Where should `Finsupp'` lemmas go? Do they need their own file/folder under `Data/`?
Relevant Zulip threads:
- https://leanprover.zulipchat.com/#narrow/channel/217875-Is-there-code-for-X.3F/topic/Finsupp.20generalisations
- https://leanprover.zulipchat.com/#narrow/channel/217875-Is-there-code-for-X.3F/topic/Finsupp-like.20partial.20function
Comments are welcome.
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-data
|
203/83 |
Archive/Wiedijk100Theorems/Partition.lean,Mathlib/Algebra/MvPolynomial/Basic.lean,Mathlib/Algebra/MvPolynomial/Rename.lean,Mathlib/Algebra/MvPolynomial/Variables.lean,Mathlib/Algebra/Polynomial/Basic.lean,Mathlib/Algebra/Polynomial/Laurent.lean,Mathlib/Data/Finsupp/BigOperators.lean,Mathlib/Data/Finsupp/Defs.lean,Mathlib/Data/Finsupp/Order.lean,Mathlib/Data/Nat/Choose/Multinomial.lean,Mathlib/RingTheory/MvPolynomial/Symmetric/Defs.lean,Mathlib/RingTheory/PowerBasis.lean,scripts/nolints_prime_decls.txt |
13 |
5 |
['github-actions', 'vihdzp', 'zeramorphic'] |
nobody |
566-57514 1 year ago |
566-57514 566 days ago |
4-60621 4 days |
| 18756 |
astrainfinita author:astrainfinita |
refactor: deprecate `DistribMulActionSemiHomClass` `MulSemiringActionSemiHomClass` |
---
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|
merge-conflict
t-algebra
label:t-algebra$ |
50/28 |
Mathlib/Algebra/Algebra/NonUnitalHom.lean,Mathlib/Algebra/Module/LinearMap/Defs.lean,Mathlib/GroupTheory/GroupAction/Hom.lean |
3 |
4 |
['astrainfinita', 'github-actions', 'leanprover-bot'] |
nobody |
555-23183 1 year ago |
555-23183 555 days ago |
31-53021 31 days |
| 19125 |
yhtq author:yhtq |
feat: add theorems to transfer `IsGalois` between pairs of fraction rings |
feat: add theorems to transfer `IsGalois` between pairs of fraction rings.
- [x] depends on: #18404
- [x] depends on: #19124
---
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|
merge-conflict
t-algebra
new-contributor
label:t-algebra$ |
121/0 |
Mathlib.lean,Mathlib/FieldTheory/Galois/IsFractionRing.lean,Mathlib/RingTheory/Localization/FractionRing.lean |
3 |
3 |
['github-actions', 'mathlib4-dependent-issues-bot', 'tb65536'] |
nobody |
552-35652 1 year ago |
578-83434 578 days ago |
0-1980 33 minutes |
| 18841 |
hrmacbeth author:hrmacbeth |
chore: change some `linarith`s to `linear_combination`s |
Change 100 `linarith`s to `linear_combination`s; this is generally a slight speedup.
---
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[](https://gitpod.io/from-referrer/)
- [x] depends on: #18714 (not strictly blocked by this, but the speed comparison will be more informative after it)
|
merge-conflict
WIP
|
106/107 |
Archive/Imo/Imo1959Q2.lean,Archive/Imo/Imo1988Q6.lean,Archive/Imo/Imo2005Q3.lean,Archive/Imo/Imo2008Q2.lean,Archive/Imo/Imo2008Q3.lean,Archive/Imo/Imo2013Q5.lean,Archive/Imo/Imo2021Q1.lean,Mathlib/Analysis/Analytic/Basic.lean,Mathlib/Analysis/Analytic/Inverse.lean,Mathlib/Analysis/Calculus/BumpFunction/FiniteDimension.lean,Mathlib/Analysis/Complex/AbelLimit.lean,Mathlib/Analysis/Convex/Gauge.lean,Mathlib/Analysis/Convex/Slope.lean,Mathlib/Analysis/Convex/SpecificFunctions/Basic.lean,Mathlib/Analysis/Convex/Uniform.lean,Mathlib/Analysis/Convex/Visible.lean,Mathlib/Analysis/FunctionalSpaces/SobolevInequality.lean,Mathlib/Analysis/Normed/Module/FiniteDimension.lean,Mathlib/Analysis/PSeries.lean,Mathlib/Analysis/SpecialFunctions/Gamma/BohrMollerup.lean,Mathlib/Analysis/SpecialFunctions/Log/Basic.lean,Mathlib/Analysis/SpecialFunctions/Log/Monotone.lean,Mathlib/Analysis/SpecialFunctions/Pow/Deriv.lean,Mathlib/Analysis/SpecialFunctions/Pow/Real.lean,Mathlib/Analysis/SpecificLimits/FloorPow.lean,Mathlib/MeasureTheory/Covering/BesicovitchVectorSpace.lean,Mathlib/MeasureTheory/Measure/Lebesgue/VolumeOfBalls.lean,Mathlib/NumberTheory/Modular.lean,Mathlib/NumberTheory/Transcendental/Liouville/LiouvilleWith.lean,Mathlib/Probability/Distributions/Pareto.lean |
30 |
29 |
['github-actions', 'grunweg', 'hrmacbeth', 'jcommelin', 'leanprover-bot', 'mathlib4-dependent-issues-bot'] |
nobody |
550-82978 1 year ago |
573-18824 573 days ago |
3-28253 3 days |
| 11142 |
hmonroe author:hmonroe |
feat(ProofTheory): Define logical symbols abstractly; opens new top-level section, drawing from lean4-logic |
---
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|
merge-conflict
awaiting-author
t-logic
|
468/1 |
Mathlib.lean,Mathlib/Data/Fin/VecNotation.lean,Mathlib/ProofTheory/LogicSymbol.lean |
3 |
19 |
['PatrickMassot', 'YaelDillies', 'avigad', 'fpvandoorn', 'github-actions'] |
nobody |
545-6398 1 year ago |
741-66447 741 days ago |
94-3235 94 days |
| 11210 |
hmonroe author:hmonroe |
Test commit |
---
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|
merge-conflict
WIP
|
1950/1 |
Mathlib.lean,Mathlib/Data/Fin/VecNotation.lean,Mathlib/ProofTheory/Calculus.lean,Mathlib/ProofTheory/FirstOrder/Arith/Language.lean,Mathlib/ProofTheory/FirstOrder/Basic/Syntax/Term.lean,Mathlib/ProofTheory/LogicSymbol.lean,Mathlib/ProofTheory/Matrix.lean,Mathlib/ProofTheory/Semantics.lean,Mathlib/ProofTheory/System.lean,docs/references.bib |
10 |
100 |
['github-actions'] |
nobody |
545-6397 1 year ago |
830-82278 830 days ago |
2-67901 2 days |
| 19621 |
Command-Master author:Command-Master |
feat: Multiplicity and prime-adic valuation of derivations |
---
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- [ ] depends on: #19596
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebra
blocked-by-other-PR
large-import
label:t-algebra$ |
397/13 |
Mathlib.lean,Mathlib/Algebra/Order/AddGroupWithTop.lean,Mathlib/Algebra/Order/Monoid/Unbundled/WithTop.lean,Mathlib/Data/ENat/Basic.lean,Mathlib/Order/WithBot.lean,Mathlib/RingTheory/Derivation/Multiplicity.lean,Mathlib/RingTheory/DiscreteValuationRing/Basic.lean,Mathlib/RingTheory/Valuation/Basic.lean,Mathlib/RingTheory/Valuation/PrimeMultiplicity.lean |
9 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
544-75058 1 year ago |
565-14007 565 days ago |
0-666 11 minutes |
| 18262 |
joelriou author:joelriou |
feat(Algebra/Category/ModuleCat/Presheaf): exterior powers of presheaves of modules |
---
- [x] depends on: #18261
- [ ] depends on: #18236
- [ ] depends on: #18197
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[](https://gitpod.io/from-referrer/)
|
WIP
t-algebra
blocked-by-other-PR
t-category-theory
merge-conflict
label:t-algebra$ |
874/0 |
Mathlib.lean,Mathlib/Algebra/Category/ModuleCat/ChangeOfRings.lean,Mathlib/Algebra/Category/ModuleCat/ExteriorPower.lean,Mathlib/Algebra/Category/ModuleCat/Presheaf/ExteriorPower.lean,Mathlib/Algebra/Category/ModuleCat/Presheaf/FunctorOfNatTrans.lean,Mathlib/Algebra/Category/ModuleCat/Pseudofunctor.lean |
6 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
544-66353 1 year ago |
unknown |
0-0 0 seconds |
| 18294 |
FR-vdash-bot author:FR-vdash-bot |
perf: make `Mul.toSMul` higher priority |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-bench
t-algebra
label:t-algebra$ |
2/5 |
Mathlib/Algebra/Group/Action/Defs.lean,Mathlib/Algebra/Order/Field/Pointwise.lean,Mathlib/Combinatorics/Additive/AP/Three/Defs.lean,Mathlib/Topology/Algebra/Module/WeakBilin.lean |
4 |
4 |
['astrainfinita', 'github-actions', 'leanprover-bot'] |
nobody |
539-73990 1 year ago |
unknown |
0-0 0 seconds |
| 15269 |
kkytola author:kkytola |
feat: Add ENNReal.floor |
A right-continuous floor function on `ENNReal`.
---
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- [x] depends on: #13938
- [ ] depends on: #15773 (general type class for `ENat`-valued floor functions)
- [x] depends on: #15380 (topology on `ENat` is needed to state right continuity of the floor function)
[](https://gitpod.io/from-referrer/)
|
t-algebra
blocked-by-other-PR
t-order
merge-conflict
awaiting-author
label:t-algebra$ |
445/0 |
Mathlib.lean,Mathlib/Algebra/Order/EFloor.lean,Mathlib/Data/ENNReal/Floor.lean,Mathlib/Data/Nat/Lattice.lean |
4 |
18 |
['YaelDillies', 'github-actions', 'kkytola', 'leanprover-community-mathlib4-bot', 'urkud'] |
nobody |
531-47287 1 year ago |
680-42353 680 days ago |
0-3440 57 minutes |
| 15773 |
kkytola author:kkytola |
feat: Add type class for ENat-valued floor functions |
This PR adds a type class for extended natural number -valued floor functions. This is split off from #15269, where the suggestions were to make the floor function on ENNReal ENat-valued and to have an API mimicling FloorSemirings. Besides ENNReal, at least ENNRat would naturally satisfy the general type class.
---
Two things are worth noting:
* To fully mimic `FloorSemiring` API, also ceiling functions need to be added. The plan is to do that in a later PR.
* The PR introduces the class `CastNatENatClass` to ensure that `natCast` and a coercion from `ENat` behave in the natural and order-respecing manner. This feels a little ad hoc, but such assumptions are needed for general `ENat`-valued floor functions to behave well.
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|
merge-conflict
awaiting-author
t-order
|
231/0 |
Mathlib.lean,Mathlib/Algebra/Order/EFloor.lean,Mathlib/Data/ENat/Basic.lean |
3 |
5 |
['YaelDillies', 'github-actions', 'kkytola', 'urkud'] |
nobody |
531-47164 1 year ago |
607-46517 607 days ago |
66-24436 66 days |
| 3251 |
kmill author:kmill |
feat: deriving `LinearOrder` for simple enough inductive types |
Uses the same machinery underlying the `Fintype` derive handler to derive a lexicographical `LinearOrder` for non-recursive inductive types that have no indices.
In principle more complicated types can have `LinearOrder`s, but that would require a more sophisticated implementation.
---
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- [x] depends on: #3198
[](https://gitpod.io/from-referrer/)
|
merge-conflict
WIP
awaiting-author
t-meta
|
82/0 |
Mathlib.lean,Mathlib/Tactic/DeriveLinearOrder.lean |
2 |
5 |
['ChrisHughes24', 'kim-em', 'kmill', 'vihdzp'] |
nobody |
529-21817 1 year ago |
1155-23848 1155 days ago |
1-80343 1 day |
| 3610 |
TimothyGu author:TimothyGu |
feat: derive Infinite automatically for inductive types |
Deals with recursive types, but not mutually recursive types or types with indices right now. See docstring for details.
---
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|
merge-conflict
awaiting-author
t-meta
|
517/0 |
Mathlib.lean,Mathlib/Tactic/DeriveInfinite.lean,test/DeriveInfinite.lean |
3 |
11 |
['TimothyGu', 'digama0', 'eric-wieser', 'grunweg', 'kim-em', 'kmill'] |
kmill assignee:kmill |
529-21816 1 year ago |
1141-16858 1141 days ago |
9-24079 9 days |
| 16120 |
awainverse author:awainverse |
feat(ModelTheory/Algebra/Ring/Basic): Ring homomorphisms are a `StrongHomClass` for the language of rings |
Adds an `IsAlgebraic` instance to the language of rings
Adds a `StrongHomClass` instance to the type of ring homomorphisms between rings with `CompatibleRing` structures
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebra
RFC
t-logic
label:t-algebra$ |
34/13 |
Mathlib/ModelTheory/Algebra/Ring/Basic.lean |
1 |
10 |
['ChrisHughes24', 'YaelDillies', 'awainverse', 'github-actions', 'jcommelin'] |
nobody |
527-39357 1 year ago |
527-39357 527 days ago |
135-29017 135 days |
| 20527 |
trivial1711 author:trivial1711 |
refactor(Topology/UniformSpace/Completion): more descriptive names for `α → Completion α` |
- We rename the various maps `α → Completion α` in order to make their names more consistent.
- Let `α` be a uniform space. We rename the uniformly continuous function `α → Completion α` from `UniformSpace.Completion.coe'` to `UniformSpace.Completion.coe`.
- Let `α` be a uniform additive group. We rename the additive group homomorphism `α →+ Completion α` from `UniformSpace.Completion.toCompl` to `UniformSpace.Completion.coeAddHom`.
- Let `α` be a uniform ring. The ring homomorphism `α →+* Completion α` is called `UniformSpace.Completion.coeRingHom`; its name is unchanged.
- Let `α` be a normed space over a field `𝕜`. We rename the linear isometry `α →ₗᵢ[𝕜] Completion α` from `UniformSpace.Completion.toComplₗᵢ` to `UniformSpace.Completion.coeₗᵢ`.
- Let `α` be a normed space over a field `𝕜`. We rename the continuous linear map `α →L[𝕜] Completion α` from `UniformSpace.Completion.toComplL` to `UniformSpace.Completion.coeL`.
- Let `α` be a normed additive group. We rename the norm preserving homomorphism `NormedAddGroupHom α (Completion α)` from `NormedAddCommGroup.toCompl` to `UniformSpace.Completion.coeNormedAddGroupHom`.
- We analogously rename some other theorems.
- We add some trivial theorems (all of which are proved by `rfl`) that state that the functions considered above are equal. We give all of them the `simp` and `norm_cast` attributes.
- We add a new theorem `UniformSpace.Completion.coeAddHom_eq_coe` that states that `UniformSpace.Completion.coeAddHom` and `UniformSpace.Completion.coe` are equal as functions.
- We similarly add a new theorem `UniformSpace.Completion.coeRingHom_eq_coe`.
- We rename the theorem `UniformSpace.Completion.coe_toComplₗᵢ` to `UniformSpace.Completion.coeₗᵢ_eq_coe`.
- We rename the theorem `UniformSpace.Completion.coe_toComplL` to `UniformSpace.Completion.coeL_eq_coe`.
- We similarly add a new theorem `UniformSpace.Completion.coeNormedAddGroupHom_eq_coe`.
- We change all occurrences of the string `((↑) : α → Completion α)` to `(coe : α → Completion α)` or just `coe`.
- We put the statements of some theorems into simp normal form by using the plain function `coe` rather than the homomorphisms that carry more structure.
---
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PR is merged. Please leave a blank newline before the `---`, otherwise
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-topology
|
130/92 |
Mathlib/Analysis/Analytic/Uniqueness.lean,Mathlib/Analysis/Calculus/FDeriv/Analytic.lean,Mathlib/Analysis/Complex/AbsMax.lean,Mathlib/Analysis/Complex/Liouville.lean,Mathlib/Analysis/InnerProductSpace/Completion.lean,Mathlib/Analysis/Normed/Group/HomCompletion.lean,Mathlib/Analysis/Normed/Module/Completion.lean,Mathlib/Analysis/SpecialFunctions/NonIntegrable.lean,Mathlib/MeasureTheory/Integral/IntegralEqImproper.lean,Mathlib/Topology/Algebra/GroupCompletion.lean,Mathlib/Topology/Algebra/InfiniteSum/GroupCompletion.lean,Mathlib/Topology/Algebra/InfiniteSum/Nonarchimedean.lean,Mathlib/Topology/Algebra/Nonarchimedean/Completion.lean,Mathlib/Topology/Algebra/UniformRing.lean,Mathlib/Topology/Category/UniformSpace.lean,Mathlib/Topology/MetricSpace/Completion.lean,Mathlib/Topology/UniformSpace/Completion.lean |
17 |
4 |
['eric-wieser', 'github-actions', 'trivial1711'] |
nobody |
520-70389 1 year ago |
520-70389 520 days ago |
6-66637 6 days |
| 17739 |
Aaron1011 author:Aaron1011 |
feat(Topology/Order/DenselyOrdered): prove Not (IsOpen) for intervals |
Prove that Iic/Ici/Ioc/Ico/Icc intervals are not open in densely ordered topologies with no min/max element
---
[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-topology
new-contributor
|
27/0 |
Mathlib/Topology/Order/DenselyOrdered.lean |
1 |
8 |
['github-actions', 'vihdzp'] |
nobody |
518-57664 1 year ago |
611-49234 611 days ago |
0-4704 1 hour |
| 18474 |
FR-vdash-bot author:FR-vdash-bot |
perf: lower the priority of `*WithOne.to*` instances |
---
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PR is merged. Please leave a blank newline before the `---`, otherwise
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From #7873.
[](https://gitpod.io/from-referrer/)
|
merge-conflict
slow-typeclass-synthesis
t-algebra
t-data
label:t-algebra$ |
9/2 |
Mathlib/Algebra/Polynomial/BigOperators.lean,Mathlib/Data/Int/Cast/Defs.lean,Mathlib/Data/Nat/Cast/Defs.lean |
3 |
7 |
['astrainfinita', 'eric-wieser', 'github-actions', 'leanprover-bot'] |
nobody |
518-57419 1 year ago |
518-57419 518 days ago |
76-66907 76 days |
| 20656 |
Komyyy author:Komyyy |
feat(Mathlib/Geometry/Manifold/VectorBundle/Sphere): convert orthogonal smooth `M → 𝕊ⁿ` & `M → ℝⁿ⁺¹` to smooth `M → T𝕊ⁿ` |
Current Mathlib has no easy way to define function from a manifold to tangent bundles of sphere: `T𝕊ⁿ`.
This PR gives this: `sphereTangentMap`. This convert orthogonal smooth `M → 𝕊ⁿ` & `M → ℝⁿ⁺¹` to smooth `M → T𝕊ⁿ`.
I also proved that if `f : M → 𝕊ⁿ` & `g : M → ℝⁿ⁺¹` are smooth then `sphereTangentMap` of `f` & `g` is smooth too.
---
⚠ **CAUTION**
I formalized this in my spare time.
I don't have the energy to maintain the PR, but I create this PR so this may helps everyone.
The only one thing to do is proof cleanup.
TODO:
- [x] `contDiff_uncurry_stereoInvFunAux` & `coe_sphere_comp_stereoInvFun` may have to be moved to `Mathlib.Geometry.Manifold.Instances.Sphere`.
- [ ] Proof cleanup. Current proof may be redundant and ugly.
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[](https://gitpod.io/from-referrer/)
|
please-adopt
merge-conflict
t-differential-geometry
|
246/6 |
Mathlib.lean,Mathlib/Geometry/Manifold/Instances/Sphere.lean,Mathlib/Geometry/Manifold/VectorBundle/Sphere.lean |
3 |
1 |
['github-actions'] |
nobody |
518-5953 1 year ago |
unknown |
0-0 0 seconds |
| 15711 |
znssong author:znssong |
feat(Combinatorics/SimpleGraph): Some lemmas about walk, cycle and Hamiltonian cycle |
---
These lemmas are separated from the `meow-sister/BondyChvatal` branch and will be needed for the proof of the Bondy-Chvátal theorem.
- [x] depends on: #15536
- [x] depends on: #16294 |
merge-conflict
awaiting-author
t-combinatorics
new-contributor
|
407/3 |
Mathlib/Combinatorics/SimpleGraph/Finite.lean,Mathlib/Combinatorics/SimpleGraph/Hamiltonian.lean,Mathlib/Combinatorics/SimpleGraph/Path.lean,Mathlib/Combinatorics/SimpleGraph/Walk.lean |
4 |
22 |
['Rida-Hamadani', 'YaelDillies', 'github-actions', 'mathlib4-dependent-issues-bot', 'znssong'] |
nobody |
517-76750 1 year ago |
639-1511 639 days ago |
9-13962 9 days |
| 15720 |
znssong author:znssong |
feat(SimpleGraph): The Bondy-Chvátal theorem |
The proof of the Bondy-Chvátal theorem, with Dirac's theorem and Ore's theorem as its corollary.
- [x] depends on: #15536
- [ ] depends on: #15711
- [ ] depends on: #15578 |
merge-conflict
blocked-by-other-PR
t-combinatorics
new-contributor
|
903/3 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/BondyChvatal.lean,Mathlib/Combinatorics/SimpleGraph/Finite.lean,Mathlib/Combinatorics/SimpleGraph/Hamiltonian.lean,Mathlib/Combinatorics/SimpleGraph/Path.lean,Mathlib/Combinatorics/SimpleGraph/Walk.lean,Mathlib/Dynamics/FixedPoints/Basic.lean,Mathlib/Dynamics/FixedPoints/Increasing.lean |
8 |
3 |
['github-actions', 'grunweg'] |
nobody |
517-76750 1 year ago |
675-7704 675 days ago |
0-1791 29 minutes |
| 18629 |
tomaz1502 author:tomaz1502 |
feat(Computability.Timed): Formalization of runtime complexity of List.merge |
This PR adds the formalization of the runtime complexity of the merge function, defined in `Data/List/Sort`.
Requires: https://github.com/leanprover-community/mathlib4/pull/15450
References:
- Previous PR on mathlib3: https://github.com/leanprover-community/mathlib3/pull/14494/
- First discussion on Zulip: https://leanprover.zulipchat.com/#narrow/stream/113488-general/topic/BSc.20Final.20Project/near/220647062
- Second disussion on Zulip: https://leanprover.zulipchat.com/#narrow/stream/113488-general/topic/Formalization.20of.20Runtime.20Complexity.20of.20Sorting.20Algorithms/near/284184450
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-computability
awaiting-author
new-contributor
|
186/0 |
Mathlib.lean,Mathlib/Computability/Timed/InsertionSort.lean,Mathlib/Computability/Timed/Merge.lean |
3 |
2 |
['github-actions', 'trivial1711'] |
nobody |
517-42669 1 year ago |
557-42282 557 days ago |
33-11262 33 days |
| 14412 |
jjaassoonn author:jjaassoonn |
feat: show stalk of presheaf of modules is a module over stalk of ring |
---
<!-- The text above the `---` will become the commit message when your
PR is merged. Please leave a blank newline before the `---`, otherwise
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- [x] depends on: #14413
- [ ] depends on: #14501
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebraic-geometry
blocked-by-other-PR
workshop-AIM-AG-2024
|
966/2 |
Mathlib.lean,Mathlib/Algebra/Category/ModuleCat/Presheaf/OverColimitsRing'.lean,Mathlib/Algebra/Category/ModuleCat/Presheaf/OverColimitsRing.lean,Mathlib/CategoryTheory/Filtered/Basic.lean,Mathlib/CategoryTheory/Limits/ConcreteCategory.lean,Mathlib/Geometry/RingedSpace/Basic.lean,Mathlib/Geometry/RingedSpace/Module.lean,Mathlib/Topology/Sheaves/Stalks.lean |
8 |
5 |
['github-actions', 'jjaassoonn', 'leanprover-community-mathlib4-bot', 'smorel394'] |
nobody |
515-61252 1 year ago |
unknown |
0-0 0 seconds |
| 8362 |
urkud author:urkud |
feat(Asymptotics): define `ReflectsGrowth` |
---
<!-- The text above the `---` will become the commit message when your
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- [x] depends on: #8349
[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-analysis
|
268/0 |
Mathlib.lean,Mathlib/Analysis/Asymptotics/ReflectsGrowth.lean |
2 |
14 |
['YaelDillies', 'fpvandoorn', 'github-actions', 'leanprover-community-mathlib4-bot', 'urkud'] |
nobody |
515-49923 1 year ago |
707-15350 707 days ago |
240-47513 240 days |
| 6692 |
prakol16 author:prakol16 |
feat: disjoint indexed union of local homeomorphisms |
Add disjoint indexed union of local equivs and local homeomorphisms
---
This is leading up to PRing some things related to covering spaces that I wrote a long time ago in lean 3 but never submitted a PR for. Note that this was converted using mathport.
<!-- The text above the `---` will become the commit message when your
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-topology
|
126/0 |
Mathlib/Logic/Equiv/PartialEquiv.lean,Mathlib/Topology/PartialHomeomorph.lean |
2 |
4 |
['alreadydone', 'github-actions', 'winstonyin'] |
nobody |
515-34519 1 year ago |
607-44538 607 days ago |
118-5497 118 days |
| 18461 |
hannahfechtner author:hannahfechtner |
feat: left and right common multiples mixins |
add mixins for left and right common multiples. These carry the data of what factors are used to create the common multiples
---
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PR is merged. Please leave a blank newline before the `---`, otherwise
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[](https://gitpod.io/from-referrer/)
|
awaiting-author
t-algebra
new-contributor
label:t-algebra$ |
78/0 |
Mathlib/Algebra/Group/Defs.lean |
1 |
13 |
['github-actions', 'hannahfechtner', 'jcommelin', 'kbuzzard', 'kim-em', 'trivial1711'] |
nobody |
514-3849 1 year ago |
514-3849 514 days ago |
69-35596 69 days |
| 19291 |
PieterCuijpers author:PieterCuijpers |
feat(Algebra/Order/Hom): add quantale homomorphism |
Definition of quantale homomorphisms as functions that are both semigroup homomorphisms and complete lattice homomorphisms.
---
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- [x] depends on: #19810
- [x] depends on: #19811
[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-algebra
new-contributor
label:t-algebra$ |
209/0 |
Mathlib.lean,Mathlib/Algebra/Order/Hom/Quantale.lean,scripts/noshake.json |
3 |
29 |
['PieterCuijpers', 'YaelDillies', 'github-actions', 'kim-em', 'mathlib4-dependent-issues-bot'] |
nobody |
512-64328 1 year ago |
518-31729 518 days ago |
29-51482 29 days |
| 19352 |
hrmacbeth author:hrmacbeth |
chore: change some `nlinarith`s to `linear_combination`s |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
WIP
|
13/13 |
Archive/Imo/Imo2021Q1.lean,Archive/Wiedijk100Theorems/AreaOfACircle.lean,Mathlib/Analysis/Normed/Group/AddCircle.lean,Mathlib/Analysis/Normed/Group/Basic.lean,Mathlib/Analysis/Normed/Ring/Units.lean,Mathlib/Analysis/SpecialFunctions/Complex/LogBounds.lean,Mathlib/Combinatorics/SimpleGraph/Regularity/Increment.lean,Mathlib/NumberTheory/Modular.lean |
8 |
4 |
['github-actions', 'hrmacbeth', 'leanprover-bot'] |
nobody |
511-7139 1 year ago |
573-18844 573 days ago |
0-8636 2 hours |
| 20372 |
jvlmdr author:jvlmdr |
feat(MeasureTheory/Function): Add ContinuousLinearMap.bilinearCompLp(L) |
Introduce ContinuousLinearMap.bilinearCompLp and bilinearCompLpL.
Generalize eLpNorm_le_eLpNorm_mul_eLpNorm theorems to include constant C in bound condition.
---
Expect this may be useful for defining tempered distributions from functions in `L^p`.
The definitions more or less follow `ContinuousLinearMap.compLp...`. Names are loosely analogous to `ContinuousLinearMap.bilinearComp` and `SchwartzMap.bilinLeftCLM`.
Note: I preferred the spelling `hpqr : p⁻¹ + q⁻¹ = r⁻¹` with `f` in `L^p` and `g` in `L^q` to `hpqr : 1 / p = 1 / q + 1 / r`. It's easier to obtain from `ENNReal.IsConjExponent` too.
A few questions:
- [ ] I defined `bilinear{Left,Right}LpL` in addition to `bilinearCompLpL` because `LinearMap.mkContinuous₂` is marked as `noncomputable` and `LinearMap.mkContinuous` is not. Is this worth the extra definitions? (Note: This is not visible in the source due to `noncomputable section`.)
- [ ] Should I use `C : ℝ` instead of `C : NNReal` for `eLpNorm_le_eLpNorm_mul_eLpNorm'_of_norm'`?
- [ ] Is it going to be painful to have `[Fact (1 ≤ p)] [Fact (1 ≤ q)] [Fact (1 ≤ r)]`? I don't think there's a way to avoid it though. Maybe providing specialized versions for `p.IsConjExponent q` with `L^1`?
Naming:
- [ ] Is it satisfactory to add a `'` to the `eLpNorm_le_eLpNorm_mul_eLpNorm ` definitions in `CompareExp.lean` where `≤ ‖f x‖ * ‖g x‖` has been replaced with `≤ C * ‖f x‖ * ‖g x‖`? These could replace the existing theorems, although I don't want to break backwards compatibility. There are 5 instances: `eLpNorm_le_eLpNorm_top_mul_eLpNorm'`, `eLpNorm_le_eLpNorm_mul_eLpNorm_top'`, `eLpNorm'_le_eLpNorm'_mul_eLpNorm''`, `eLpNorm_le_eLpNorm_mul_eLpNorm_of_nnnorm'`, `eLpNorm_le_eLpNorm_mul_eLpNorm'_of_norm'` (I'm not sure why the existing theorem `eLpNorm_le_eLpNorm_mul_eLpNorm'_of_norm` has an internal `'`)
- [ ] Is `bilinearLeftLpL` a suitable name? Other options: `bilinearCompLpLeftL`, `bilinearCompLeftLpL`, `bilinLeftLpL` (analogous to `SchwartzMap.bilinLeftCLM`)
<!-- The text above the `---` will become the commit message when your
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|
merge-conflict
t-measure-probability
new-contributor
|
203/40 |
Mathlib/MeasureTheory/Function/LpSeminorm/CompareExp.lean,Mathlib/MeasureTheory/Function/LpSpace.lean |
2 |
1 |
['github-actions'] |
nobody |
505-81676 1 year ago |
505-81676 505 days ago |
27-43617 27 days |
| 2605 |
eric-wieser author:eric-wieser |
chore: better error message in linarith |
On this mwe:
```lean
import Mathlib.Tactic.Linarith
example (s : Set ℕ) (h : s = s) : 0 ≤ 1 :=
by linarith
```
this now indicates where the internal error is coming from.
Is there a better way of chaining errors than this?
---
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|
merge-conflict
awaiting-author
t-meta
|
12/1 |
Mathlib/Tactic/Linarith/Preprocessing.lean |
1 |
3 |
['Vierkantor', 'harahu', 'kim-em', 'mo271'] |
nobody |
503-72269 1 year ago |
1151-17408 1151 days ago |
51-42225 51 days |
| 11837 |
trivial1711 author:trivial1711 |
feat: completion of a uniform multiplicative group |
Multiplicativize `Topology.Algebra.GroupCompletion`. That is, rewrite it in the multiplicative setting and recover the original results using `@[to_additive]`.
- Because `@[to_additive]` doesn't work with `noncomputable section` (https://github.com/leanprover/lean4/pull/2610), some instances with `@[to_additive]` need to be explicitly marked with `noncomputable instance`.
- One might be tempted to multiplicativize this definition from `Topology.Algebra.GroupCompletion`:
```lean
instance [UniformSpace α] [Add α] : Add (Completion α) :=
⟨Completion.map₂ (· + ·)⟩
```
to this:
```lean
@[to_additive]
instance [UniformSpace α] [Mul α] : Mul (Completion α) :=
⟨Completion.map₂ (· * ·)⟩
```
However, as Eric Wieser pointed out, doing so would create a bad diamond with the definition
```lean
instance [UniformSpace α] [TopologicalRing α] [UniformAddGroup α] [Ring α] : Mul (Completion α) :=
⟨curry <| (denseInducing_coe.prod denseInducing_coe).extend ((↑) ∘ uncurry (· * ·))⟩
```
in `Topology.Algebra.UniformRing`.
How should this diamond be resolved? Well, the definition of multiplication that uses `curry <| (denseInducing_coe.prod denseInducing_coe).extend ((↑) ∘ uncurry (· * ·))` is the "correct" one. For example, it yields the correct result if `α` is `ℚ`, unlike the definition that uses `Completion.map₂ (· * ·)`. (This is because `Completion.map₂` yields junk values if used on a function which is not uniformly continuous. Note, however, that if multiplication on `α` *is* uniformly continuous, then `Completion.map₂ (· * ·)` and `curry <| (denseInducing_coe.prod denseInducing_coe).extend ((↑) ∘ uncurry (· * ·))` are propositionally equal.) So, following Eric's suggestion, we remove the definition that uses `Completion.map₂ (· * ·)`, and generalize the other definition to any uniform space with a multiplication operation:
```lean
@[to_additive]
noncomputable instance [UniformSpace α] [Mul α] : Mul (Completion α) :=
⟨curry <| (denseInducing_coe.prod denseInducing_coe).extend ((↑) ∘ uncurry (· * ·))⟩
```
This requires slightly modifying some of the proofs in `Topology.Algebra.GroupCompletion`. For example, suppose that `α` is a uniform group. Since we can no longer use `Completion.continuous_map₂`, it becomes more efficient to prove that the multiplication, inversion, and division operations on `Completion α` are uniformly continuous *before* we prove that `Completion α` is a group.
- Previously, `Topology.Algebra.GroupCompletion` had an instance:
```lean
instance [UniformSpace α] [Sub α] : Sub (Completion α) := ...
```
Naively multiplicativizing this would yield
```lean
@[to_additive]
instance [UniformSpace α] [Inv α] : Inv (Completion α) := ...
```
Unfortunately, this would conflict with `Topology.Algebra.UniformField`, which already instantiates `Inv (Completion α)` when `α` is a uniform field. Instead, we use two different `instance` declarations. (If `α` is an additive group, then this instantiates `Neg (Completion α)` twice, and the instances are syntactically equal.)
```lean
@[to_additive]
noncomputable instance [UniformSpace α] [Group α] : Inv (Completion α) := ...
instance [UniformSpace α] [Neg α] : Neg (Completion α) := ...
```
This avoids the bad diamond (because a uniform field can never be a `Group`) while remaining backward compatible. Note that the `@[to_additive]` is necessary here, because it maintains the link between the additive setting and multiplicative setting. We use a similar method to instantiate `Div (Completion α)`.
- Some definitions in this file involve a module structure on `α`. We leave these as is and do not attempt to multiplicativize them at all.
- The instance of `DistribMulAction` must be multiplicativized to an instance of `MulDistribMulAction` manually.
Zulip thread: https://leanprover.zulipchat.com/#narrow/stream/287929-mathlib4/topic/Completion.20of.20a.20uniform.20multiplicative.20group
---
# (Small) Issue
Recall the following trick that this pull request uses to define inversion and negation on uniform spaces. The idea is that we define negation on the completion of any uniform space that has a negation operation, but we define inversion on only the completion of a uniform space that has the structure of a multiplicative group. We do this to avoid creating a bad diamond with the inversion operation on a uniform field.
```lean
@[to_additive]
noncomputable instance {α : Type*} [UniformSpace α] [Group α] : Inv (Completion α) := ...
instance {α : Type*} [UniformSpace α] [Neg α] : Neg (Completion α) := ...
```
Now, suppose that we want to prove `coe_inv_of_group` (resp. `coe_neg`), which states that the coercion `α → Completion α` commutes with inversion (resp. negation). In the current version of this pull request, `coe_inv_of_group` (resp. `coe_neg`) only applies to uniform multiplicative (resp. additive) groups. However, we do not use the fact that multiplication (resp. addition) on `α` is uniformly continuous to prove it. We only use the fact that inversion (resp. negation) is continuous. So, what we really want is to have more general statements that look like this:
```lean
theorem coe_inv_of_group {α : Type*} [UniformSpace α] [Group α] [ContinuousInv α] : ...
theorem coe_neg {α : Type*} [UniformSpace α] [Neg α] [ContinuousNeg α] : ...
```
Note that `coe_inv_of_group` needs the assumption `[Group α]`, because otherwise inversion is not defined on `Completion α` at all. However, `coe_neg` does not need the analogous assumption `[AdditiveGroup α]`.
The question is: If `coe_inv_of_group` and `coe_neg` are written in this more general form, how can we link them using `@[to_additive]`? Here is one option, but it obviously leaves something to be desired.
```lean
@[to_additive coe_neg_do_not_use_this_use_the_more_general_version]
theorem coe_inv_of_group {α : Type*} [UniformSpace α] [Group α] [ContinuousInv α] : ...
theorem coe_neg {α : Type*} [UniformSpace α] [Neg α] [ContinuousNeg α] : ...
```
Co-authored-by: Eric Wieser
---
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|
WIP
t-algebra
merge-conflict
help-wanted
t-topology
label:t-algebra$ |
342/217 |
Mathlib/Analysis/InnerProductSpace/Completion.lean,Mathlib/Analysis/Normed/Group/HomCompletion.lean,Mathlib/Analysis/Normed/Module/Completion.lean,Mathlib/Topology/Algebra/GroupCompletion.lean,Mathlib/Topology/Algebra/InfiniteSum/GroupCompletion.lean,Mathlib/Topology/Algebra/Nonarchimedean/Completion.lean,Mathlib/Topology/Algebra/UniformField.lean,Mathlib/Topology/Algebra/UniformMulAction.lean,Mathlib/Topology/Algebra/UniformRing.lean |
9 |
14 |
['eric-wieser', 'github-actions', 'trivial1711'] |
nobody |
503-49774 1 year ago |
532-62053 532 days ago |
101-63310 101 days |
| 12670 |
trivial1711 author:trivial1711 |
feat: completion of a nonarchimedean multiplicative group |
We prove that the completion of a nonarchimedean multiplicative group is a nonarchimedean multiplicative group.
---
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PR is merged. Please leave a blank newline before the `---`, otherwise
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- [x] depends on: #12669
- [ ] depends on: #11837
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebra
t-topology
blocked-by-other-PR
label:t-algebra$ |
358/228 |
Mathlib/Analysis/InnerProductSpace/Completion.lean,Mathlib/Analysis/Normed/Group/HomCompletion.lean,Mathlib/Analysis/Normed/Module/Completion.lean,Mathlib/Topology/Algebra/GroupCompletion.lean,Mathlib/Topology/Algebra/InfiniteSum/GroupCompletion.lean,Mathlib/Topology/Algebra/Nonarchimedean/Completion.lean,Mathlib/Topology/Algebra/UniformField.lean,Mathlib/Topology/Algebra/UniformMulAction.lean,Mathlib/Topology/Algebra/UniformRing.lean |
9 |
2 |
['github-actions', 'leanprover-community-mathlib4-bot'] |
nobody |
503-49651 1 year ago |
530-31107 530 days ago |
50-17994 50 days |
| 21384 |
alreadydone author:alreadydone |
experiment: make submodule quotient reducibly defeq to additive group quotient |
---
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PR is merged. Please leave a blank newline before the `---`, otherwise
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[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
1/1 |
Mathlib/LinearAlgebra/Quotient/Defs.lean |
1 |
1 |
['github-actions'] |
nobody |
499-61416 1 year ago |
unknown |
0-0 0 seconds |
| 9449 |
hmonroe author:hmonroe |
feat: Add Turing machine with the quintet definition (TMQ) and a chainable step function for each TM type |
---
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PR is merged. Please leave a blank newline before the `---`, otherwise
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-computability
awaiting-author
|
458/1 |
Mathlib/Computability/TuringMachine.lean,Mathlib/Logic/PartArith.lean |
2 |
8 |
['eric-wieser', 'github-actions', 'hmonroe'] |
nobody |
498-14453 1 year ago |
842-27505 842 days ago |
53-6945 53 days |
| 18719 |
FR-vdash-bot author:FR-vdash-bot |
perf: lower the priority of `SemilinearMapClass.toAddHomClass` |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
slow-typeclass-synthesis
t-algebra
awaiting-bench
label:t-algebra$ |
14/7 |
Mathlib/Algebra/Module/LinearMap/Defs.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Unique.lean,MathlibTest/TCSynth.lean |
3 |
4 |
['astrainfinita', 'github-actions', 'leanprover-bot'] |
nobody |
496-75670 1 year ago |
unknown |
0-0 0 seconds |
| 19697 |
quangvdao author:quangvdao |
feat(BigOperators/Fin): Sum/product over `Fin` intervals |
This PR adds new theorems about the sum/product of some vector over `Fin` intervals. One example is:
```
@[to_additive]
theorem prod_Iic_succ (i : Fin n) :
∏ j ∈ Iic i.succ, v j = (∏ j ∈ Iic i.castSucc, v j) * v i.succ
```
---
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PR is merged. Please leave a blank newline before the `---`, otherwise
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- [x] depends on: #20360
This is in preparation for reworking `finSigmaFinEquiv` and `finProdFinEquiv` in #19013.
[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-data
|
87/12 |
Mathlib/Algebra/BigOperators/Fin.lean,Mathlib/Data/Fintype/Fin.lean,Mathlib/Order/Interval/Finset/Fin.lean |
3 |
20 |
['Ruben-VandeVelde', 'YaelDillies', 'eric-wieser', 'github-actions', 'mathlib4-dependent-issues-bot', 'quangvdao'] |
nobody |
495-56871 1 year ago |
530-6401 530 days ago |
6-25961 6 days |
| 19353 |
hrmacbeth author:hrmacbeth |
chore: golf some term/rw proofs using `linear_combination` |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
WIP
|
47/102 |
Archive/Wiedijk100Theorems/SumOfPrimeReciprocalsDiverges.lean,Mathlib/Analysis/Convex/Slope.lean,Mathlib/Analysis/Seminorm.lean,Mathlib/MeasureTheory/Integral/RieszMarkovKakutani.lean,Mathlib/NumberTheory/Modular.lean,Mathlib/NumberTheory/Zsqrtd/Basic.lean,Mathlib/Topology/ContinuousMap/ZeroAtInfty.lean |
7 |
5 |
['github-actions', 'grunweg', 'hrmacbeth', 'leanprover-bot'] |
grunweg assignee:grunweg |
494-55992 1 year ago |
573-18836 573 days ago |
0-7781 2 hours |
| 20248 |
peabrainiac author:peabrainiac |
feat(Topology/Compactness): first-countable locally path-connected spaces are delta-generated |
Shows that all first-countable locally path-connected spaces are delta-generated (so in particular all normed spaces and convex subsets thereof are), and that delta-generated spaces are equivalently generated by the unit interval or standard simplices.
---
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- [ ] depends on: #21616
In principle, this should be close to all that's required to show that all simplicial complexes and CW-complexes are delta-generated; I just haven't done it yet because I'm not sure which file to best do it in.
[](https://gitpod.io/from-referrer/)
|
blocked-by-other-PR
large-import
new-contributor
merge-conflict
awaiting-author
t-topology
|
1189/813 |
Mathlib.lean,Mathlib/Geometry/Manifold/ChartedSpace.lean,Mathlib/Topology/Algebra/Module/LocallyConvex.lean,Mathlib/Topology/Compactness/DeltaGeneratedSpace.lean,Mathlib/Topology/Connected/LocPathConnected.lean,Mathlib/Topology/Connected/PathConnected.lean,Mathlib/Topology/ContinuousOn.lean,Mathlib/Topology/Homotopy/HSpaces.lean,Mathlib/Topology/Path.lean |
9 |
22 |
['YaelDillies', 'github-actions', 'kbuzzard', 'mathlib4-dependent-issues-bot', 'peabrainiac'] |
nobody |
493-38986 1 year ago |
500-3503 500 days ago |
39-21495 39 days |
| 21610 |
JLimperg author:JLimperg |
Aesop forward benchmark: forward precomp |
Not a real PR, just for benchmarking.
|
merge-conflict |
30/27 |
Mathlib/Data/List/InsertIdx.lean,Mathlib/Tactic/Recall.lean,Mathlib/Topology/List.lean,Test.lean,lake-manifest.json,lakefile.lean,lean-toolchain |
7 |
3 |
['JLimperg', 'github-actions', 'leanprover-bot'] |
nobody |
492-74877 1 year ago |
unknown |
0-0 0 seconds |
| 21611 |
JLimperg author:JLimperg |
Aesop forward benchmark: master no-precomp |
Not a real PR, just for benchmarking. |
merge-conflict |
30/27 |
Mathlib/Data/List/InsertIdx.lean,Mathlib/Tactic/Recall.lean,Mathlib/Topology/List.lean,Test.lean,lake-manifest.json,lakefile.lean,lean-toolchain |
7 |
4 |
['JLimperg', 'github-actions', 'leanprover-bot'] |
nobody |
492-74876 1 year ago |
unknown |
0-0 0 seconds |
| 21612 |
JLimperg author:JLimperg |
Aesop forward benchmark: master precomp |
Not a real PR, just for benchmarking. |
merge-conflict |
30/27 |
Mathlib/Data/List/InsertIdx.lean,Mathlib/Tactic/Recall.lean,Mathlib/Topology/List.lean,Test.lean,lake-manifest.json,lakefile.lean,lean-toolchain |
7 |
3 |
['JLimperg', 'github-actions', 'leanprover-bot'] |
nobody |
492-74875 1 year ago |
unknown |
0-0 0 seconds |
| 10678 |
adri326 author:adri326 |
feat(Topology/UniformSpace): prove that a uniform space is completely regular |
Provides the pseudometric definition of a uniform space (for any open set `s` and `x ∈ s`, there exists a finite family of pseudometric spaces on `X` and an `ε > 0`, such that the intersection of the balls of these pseudometric spaces is a subset of `s`),
and uses it to prove that `UniformSpace X` implies `CompletelyRegularSpace X`.
---
This PR aims to close the gap of pi-base's theorem [T345](https://topology.pi-base.org/theorems/T000345), which says that topological groups are completely regular. We already have a proof that topological groups are uniform, but it turns out that we do not have any connection between `UniformSpace X` and `CompletelyRegularSpace X`.
There is an equivalence between `UniformSpace X` and `CompletelyRegularSpace X`: the former implies the latter, and the latter implies *the existence of* the former. This PR provides the first half of this equivalence.
The construction of the pseudometric definition is based on N. Bourbaki, Chapter 9, Theorem 4.1
The proof that a uniform space is completely regular is based on [the outline on mathexchange](https://math.stackexchange.com/questions/494718/how-to-prove-that-every-uniform-space-is-completely-regular).
I tried to outline the major steps of the different proofs inside of comments; I can happily be more verbose to clear up any confusion.
See [the corresponding Zulip discussion](https://leanprover.zulipchat.com/#narrow/stream/287929-mathlib4/topic/Some.20missing.2C.20accessible.2C.20topology.20results) for more context.
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|
merge-conflict
awaiting-author
t-topology
|
332/0 |
Mathlib.lean,Mathlib/Topology/UniformSpace/Basic.lean,Mathlib/Topology/UniformSpace/CompletelyRegular.lean |
3 |
6 |
['ADedecker', 'adri326'] |
ADedecker assignee:ADedecker |
492-50403 1 year ago |
833-74082 833 days ago |
17-44804 17 days |
| 18785 |
erdOne author:erdOne |
feat(CategoryTheory): command that generates instances for `MorphismProperty` |
Co-authored-by: Calle Sönne
---
<!-- The text above the `---` will become the commit message when your
PR is merged. Please leave a blank newline before the `---`, otherwise
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-category-theory
t-meta
|
369/0 |
Mathlib.lean,Mathlib/CategoryTheory/MorphismProperty/Tactic.lean,MathlibTest/AddMorphismPropertyInstances.lean,scripts/noshake.json |
4 |
19 |
['alexjbest', 'chrisflav', 'erdOne', 'github-actions', 'grunweg', 'jcommelin', 'joelriou'] |
nobody |
490-66913 1 year ago |
512-8783 512 days ago |
52-4682 52 days |
| 16311 |
madvorak author:madvorak |
feat(Computability): regular languages are context-free |
---
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PR is merged. Please leave a blank newline before the `---`, otherwise
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
WIP
t-computability
|
72/0 |
Mathlib.lean,Mathlib/Computability/Chomsky.lean,Mathlib/Computability/ContextFreeGrammar.lean |
3 |
7 |
['Rida-Hamadani', 'YaelDillies', 'github-actions', 'madvorak'] |
nobody |
488-73332 1 year ago |
unknown |
0-0 0 seconds |
| 19943 |
AlexLoitzl author:AlexLoitzl |
feat(Computability): Add Chomsky Normal Form Grammar and translation |
- Define Chomsky normal form grammars
- Add language-preserving translation between context-free grammars and Chomsky normal form grammars
Co-authored-by: Martin Dvorak martin.dvorak@matfyz.cz
---
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PR is merged. Please leave a blank newline before the `---`, otherwise
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-computability
awaiting-author
new-contributor
|
3151/0 |
Mathlib.lean,Mathlib/Computability/ChomskyNormalForm/Basic.lean,Mathlib/Computability/ChomskyNormalForm/EmptyElimination.lean,Mathlib/Computability/ChomskyNormalForm/LengthRestriction.lean,Mathlib/Computability/ChomskyNormalForm/TerminalRestriction.lean,Mathlib/Computability/ChomskyNormalForm/Translation.lean,Mathlib/Computability/ChomskyNormalForm/UnitElimination.lean,Mathlib/Computability/ContextFreeGrammar.lean |
8 |
59 |
['AlexLoitzl', 'YaelDillies', 'github-actions', 'kim-em', 'madvorak'] |
nobody |
488-73085 1 year ago |
495-84707 495 days ago |
37-29014 37 days |
| 21501 |
sksgurdldi author:sksgurdldi |
feat(List): add sum_zipWith_eq_finset_sum |
### **Description:**
This PR adds the lemma `List.sum_zipWith_eq_finset_sum` to `Mathlib.Algebra.BigOperators.Group.Finset.Basic`.
#### **Statement:**
The sum of the `zipWith` operation on two lists equals the sum of applying the operation to corresponding elements of the two lists, indexed over the minimum of their lengths.
#### **Formal Statement:**
```lean
lemma sum_zipWith_eq_finset_sum [Inhabited α] [Inhabited β] [AddCommMonoid γ]
{op : α → β → γ}
(l : List α) (m : List β) :
(List.zipWith op l m).sum =
∑ x ∈ (Finset.range (Nat.min l.length m.length)), op (l[x]!) (m[x]!)
```
#### **Remarks:**
- This lemma provides a useful equivalence between `List.zipWith` and summation over a `Finset.range` indexed by `Nat.min l.length m.length`.
- It can be helpful in algebraic manipulations involving list-based summations.
#### **Dependencies:**
No additional dependencies.
---
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PR is merged. Please leave a blank newline before the `---`, otherwise
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|
awaiting-author
t-algebra
new-contributor
label:t-algebra$ |
43/0 |
Mathlib/Algebra/BigOperators/Group/Finset/Basic.lean |
1 |
1 |
['github-actions', 'j-loreaux'] |
nobody |
483-41856 1 year ago |
483-41856 483 days ago |
13-33168 13 days |
| 12054 |
adomani author:adomani |
feat: auto-bugs |
This PR introduces a linter for suggesting bugs in tactics.
See
* #12077
* #12083
* #12084
for some bugs exposed by the test suite.
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-meta
|
737/0 |
Mathlib.lean,Mathlib/Tactic.lean,Mathlib/Tactic/Linter/MetaTesting.lean,scripts/noshake.json,test/MetaTesting.lean |
5 |
20 |
['adomani', 'eric-wieser', 'github-actions', 'joneugster', 'kim-em'] |
joneugster assignee:joneugster |
483-29513 1 year ago |
696-1531 696 days ago |
45-6051 45 days |
| 5062 |
adomani author:adomani |
feat(Tactic/Prune + test/Prune): add `prune` tactic, for removing unnecessary hypotheses |
This tactic removes very conservatively all local declarations that
1. do not appear in the main goal,
2. do not appear in a declaration that appears in the main goal,
3. ... and so on recursively.
The main motivation for this tactic is that all available variables in the current `namespace/section` appear in the goal state, not just the ones that are needed for the statement to type-check. Using `prune` mitigates this situation.
The tactic also admits an optional natural number argument: `prune n` removes all variables that have not appeared at the `(n+1)`-st stage in the above list. Thus, `prune 0` only leaves the variables needed for the statement to type-check. Also, for sufficiently large `n`, `prune n` is a synonym for `prune`.
[Zulip discussion](https://leanprover.zulipchat.com/#narrow/stream/270676-lean4/topic/substitute.20for.20.60include.2Fomit.60.3F)
---
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|
merge-conflict
modifies-tactic-syntax
awaiting-author
t-meta
|
181/0 |
Mathlib.lean,Mathlib/Tactic.lean,Mathlib/Tactic/Prune.lean,test/Prune.lean |
4 |
5 |
['adomani', 'j-loreaux', 'kmill'] |
nobody |
482-83220 1 year ago |
903-68551 903 days ago |
195-57118 195 days |
| 22169 |
JLimperg author:JLimperg |
Aesop forward benchmark: forward no-precomp naive |
Not a real PR, just for benchmarking. |
merge-conflict |
31/27 |
Mathlib/Data/List/InsertIdx.lean,Mathlib/Tactic/Recall.lean,Mathlib/Topology/List.lean,Test.lean,lake-manifest.json,lakefile.lean,lean-toolchain |
7 |
6 |
['JLimperg', 'github-actions', 'leanprover-bot'] |
nobody |
481-48884 1 year ago |
unknown |
0-0 0 seconds |
| 21433 |
grunweg author:grunweg |
chore: change more lemmas to be about enorm instead of nnnorm |
---
- [x] depends on: #21782
- [x] depends on: #21783 (and this PR modifies the file split, and file splits are painful to merge over)
<!-- The text above the `---` will become the commit message when your
PR is merged. Please leave a blank newline before the `---`, otherwise
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
carleson
t-measure-probability
|
172/71 |
Mathlib/Analysis/Distribution/SchwartzSpace.lean,Mathlib/Analysis/Normed/Group/Basic.lean,Mathlib/Analysis/SpecialFunctions/Pow/NNReal.lean,Mathlib/Data/ENNReal/Basic.lean,Mathlib/MeasureTheory/Function/LpSeminorm/Basic.lean,Mathlib/MeasureTheory/Function/LpSeminorm/CompareExp.lean,Mathlib/MeasureTheory/Function/LpSpace/Basic.lean,Mathlib/MeasureTheory/Function/LpSpace/ContinuousFunctions.lean,Mathlib/MeasureTheory/Function/UniformIntegrable.lean |
9 |
18 |
['RemyDegenne', 'github-actions', 'grunweg', 'j-loreaux', 'mathlib4-dependent-issues-bot'] |
nobody |
481-48073 1 year ago |
488-44138 488 days ago |
2-37989 2 days |
| 22171 |
JLimperg author:JLimperg |
Aesop forward benchmark: forward no-precomp naive rpinf pr-release |
Not a real PR, just for benchmarking. |
merge-conflict |
31/27 |
Mathlib/Data/List/InsertIdx.lean,Mathlib/Tactic/Recall.lean,Mathlib/Topology/List.lean,Test.lean,lake-manifest.json,lakefile.lean,lean-toolchain |
7 |
5 |
['JLimperg', 'github-actions', 'leanprover-bot'] |
nobody |
480-56757 1 year ago |
unknown |
0-0 0 seconds |
| 20454 |
urkud author:urkud |
chore(TangentCone): review names |
Also add some `@[simp]` attrs.
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-analysis
|
201/139 |
Mathlib/Analysis/Analytic/IteratedFDeriv.lean,Mathlib/Analysis/Calculus/ContDiff/Basic.lean,Mathlib/Analysis/Calculus/ContDiff/Bounds.lean,Mathlib/Analysis/Calculus/ContDiff/Defs.lean,Mathlib/Analysis/Calculus/ContDiff/FTaylorSeries.lean,Mathlib/Analysis/Calculus/Deriv/Abs.lean,Mathlib/Analysis/Calculus/Deriv/Basic.lean,Mathlib/Analysis/Calculus/FDeriv/Add.lean,Mathlib/Analysis/Calculus/FDeriv/Basic.lean,Mathlib/Analysis/Calculus/FDeriv/Equiv.lean,Mathlib/Analysis/Calculus/FDeriv/Measurable.lean,Mathlib/Analysis/Calculus/FDeriv/RestrictScalars.lean,Mathlib/Analysis/Calculus/FDeriv/Symmetric.lean,Mathlib/Analysis/Calculus/IteratedDeriv/Lemmas.lean,Mathlib/Analysis/Calculus/MeanValue.lean,Mathlib/Analysis/Calculus/TangentCone.lean,Mathlib/Analysis/Calculus/Taylor.lean,Mathlib/Analysis/Calculus/VectorField.lean,Mathlib/Analysis/Convex/SpecificFunctions/Deriv.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/InverseDeriv.lean,Mathlib/Geometry/Manifold/Instances/Real.lean,Mathlib/Geometry/Manifold/IsManifold/Basic.lean,Mathlib/Geometry/Manifold/MFDeriv/UniqueDifferential.lean,Mathlib/Geometry/Manifold/VectorBundle/Tangent.lean,Mathlib/MeasureTheory/Integral/FundThmCalculus.lean |
25 |
3 |
['github-actions', 'sgouezel', 'urkud'] |
nobody |
477-8253 1 year ago |
526-48016 526 days ago |
4-8272 4 days |
| 21608 |
JLimperg author:JLimperg |
Aesop forward benchmark: forward no-precomp rpinf pr-release |
Not a real PR, just for benchmarking. |
merge-conflict |
38/29 |
Mathlib/Data/List/InsertIdx.lean,Mathlib/Data/Nat/Prime/Defs.lean,Mathlib/Tactic/Recall.lean,Mathlib/Topology/List.lean,Test.lean,lake-manifest.json,lakefile.lean,lean-toolchain |
8 |
13 |
['JLimperg', 'github-actions', 'leanprover-bot'] |
nobody |
476-69386 1 year ago |
unknown |
0-0 0 seconds |
| 21609 |
JLimperg author:JLimperg |
Aesop forward benchmark: forward no-precomp |
Not a real PR, just for benchmarking. |
merge-conflict |
38/29 |
Mathlib/Data/List/InsertIdx.lean,Mathlib/Data/Nat/Prime/Defs.lean,Mathlib/Tactic/Recall.lean,Mathlib/Topology/List.lean,Test.lean,lake-manifest.json,lakefile.lean,lean-toolchain |
8 |
13 |
['JLimperg', 'github-actions', 'leanprover-bot'] |
nobody |
476-67750 1 year ago |
unknown |
0-0 0 seconds |
| 16550 |
awainverse author:awainverse |
feat(ModelTheory): A typeclass for languages expanding other languages |
Defines `L.Expands L'` to consist of a privileged injective inclusion, `L'.Inclusion L`, from `L'` to `L`, corresponding to one language being a subset of the other in set-theoretic foundations.
Replaces `L.IsOrdered` with `L.Expands Language.order` and `L.OrderLHom` with `Language.order.Inclusion L`
Redefines `leSymb` in terms of `Language.order.Inclusion L`
Deletions:
- `FirstOrder.Language.IsOrdered`
- `FirstOrder.Language.OrderLHom`
- `instance : IsOrdered Language.order`
- `sum.instIsOrdered`
---
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PR is merged. Please leave a blank newline before the `---`, otherwise
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-logic
|
97/43 |
Mathlib/ModelTheory/LanguageMap.lean,Mathlib/ModelTheory/Order.lean |
2 |
9 |
['YaelDillies', 'awainverse', 'github-actions'] |
nobody |
476-47121 1 year ago |
648-78352 648 days ago |
0-61590 17 hours |
| 10823 |
alexkeizer author:alexkeizer |
feat: convert curried type functions into uncurried type functions |
Adds a conversion `TypeFun.ofCurried : CurriedTypeFun.{u, v} n -> TypeFun.{u, v} n`,
where `CurriedTypeFun.{u,v} n` is a (def-eq) abbreviation for `Type u -> ... -> Type u -> Type v`, i.e., the type of *curried* functions taking `n` arguments of type `Type u` to return an element of `Type v`, and
`TypeFun.{u, v} n` is an abbreviation for `TypeVec.{u} n -> Type v`.
It is generally more idiomatic to define type functions with multiple arguments in the curried style, but in the QPF development we use the uncurried equivalent `TypeVec n -> Type _`. Thus, having a canonical conversion from curried functions to uncurried gives us a canonical way to ask if a curried type function, say `Sum` is a QPF (namely, "is there an instance of `MvQPF (TypeFun.ofCurried Sum)`").
---
This is code ported from https://github.com/alexkeizer/QpfTypes, where this conversion is crucial in presenting a high-level interface, in terms of idiomatic, curried, type functions to users, while being built on QPFs (and thus, uncurried typefunctions) underneath.
There is also a conversion in the other direction, from uncurried to curried, which I've decided to PR later, to keep this PR smaller and hopefully easier to review.
- [x] depends on: #10818 (all changes to `Fin2.lean` are part of 10818, not the current PR)
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merge-conflict
awaiting-author
t-data
|
66/0 |
Mathlib.lean,Mathlib/Data/TypeFun.lean |
2 |
9 |
['YaelDillies', 'alexkeizer', 'github-actions', 'leanprover-community-mathlib4-bot'] |
nobody |
473-59714 1 year ago |
724-44314 724 days ago |
15-9013 15 days |
| 13648 |
urkud author:urkud |
feat(Topology/Module): generalize `ContinuousLinearMap.compSL` |
Generalize `ContinuousLinearMap.compSL` to topological vector spaces.
---
- [ ] depends on: #15217
This PR is not polished yet, but the main statement is there.
@ADedecker This answers a question I asked you on Zulip a few months ago.
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[](https://gitpod.io/from-referrer/)
|
t-algebra
merge-conflict
awaiting-author
t-topology
t-analysis
label:t-algebra$ |
23/18 |
Mathlib/Analysis/NormedSpace/OperatorNorm/Bilinear.lean,Mathlib/Topology/Algebra/Module/StrongTopology.lean |
2 |
5 |
['fpvandoorn', 'github-actions', 'mathlib4-dependent-issues-bot', 'urkud'] |
nobody |
471-82804 1 year ago |
709-65731 709 days ago |
28-69042 28 days |
| 19372 |
Command-Master author:Command-Master |
find defeq abuse using diagnostics |
---
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[](https://gitpod.io/from-referrer/)
- [ ] depends on: #19177 |
merge-conflict
blocked-by-other-PR
large-import
|
169/1 |
Mathlib.lean,Mathlib/Tactic.lean,Mathlib/Tactic/Linter.lean,Mathlib/Tactic/Linter/FindDefEqAbuse.lean,MathlibTest/FindDefEqAbuse.lean,lakefile.lean |
6 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
471-82304 1 year ago |
unknown |
0-0 0 seconds |
| 22408 |
JLimperg author:JLimperg |
Aesop forward bench: precomp only rpinf |
---
Not a real PR (yet), just for benchmarking.
[](https://gitpod.io/from-referrer/)
|
merge-conflict
dependency-bump
|
5/3 |
lake-manifest.json,lakefile.lean,scripts/bench/fake-root/lib/lean/libleanshared.so,scripts/bench/run |
4 |
6 |
['JLimperg', 'github-actions', 'leanprover-bot'] |
nobody |
471-71208 1 year ago |
unknown |
0-0 0 seconds |
| 20636 |
eric-wieser author:eric-wieser |
feat: multiplication of intervals in rings |
---
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[](https://gitpod.io/from-referrer/)
|
awaiting-author
t-algebra
label:t-algebra$ |
36/1 |
Mathlib/Algebra/Order/Interval/Basic.lean |
1 |
16 |
['Timeroot', 'YaelDillies', 'eric-wieser', 'github-actions'] |
nobody |
470-54773 1 year ago |
506-58550 506 days ago |
17-17852 17 days |
| 22340 |
sinhp author:sinhp |
feat(CategoryTheory): Locally Cartesian Closed Categories (Beck-Chevalley Conditions) |
Building on top of the API of `ExponentiableMorphism` in #22321, we state and prove Beck-Chevalley conditions. This will be crucial for our development of polynomial functors along exponentiable morphisms.
Co-authored-by: Emily Riehl <eriehl@jhu.edu>
---
- [ ] depends on: #22321
- [ ] depends on: #22319
- [ ] depends on: #21525
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[](https://gitpod.io/from-referrer/)
|
WIP
blocked-by-other-PR
t-category-theory
large-import
merge-conflict
|
1144/24 |
Mathlib.lean,Mathlib/CategoryTheory/Comma/Over/Basic.lean,Mathlib/CategoryTheory/Comma/Over/Pullback.lean,Mathlib/CategoryTheory/Comma/Over/Sections.lean,Mathlib/CategoryTheory/Galois/Examples.lean,Mathlib/CategoryTheory/LocallyCartesianClosed/Basic.lean,Mathlib/CategoryTheory/LocallyCartesianClosed/BeckChevalley.lean,docs/references.bib |
8 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
469-71355 1 year ago |
476-53282 476 days ago |
0-17 17 seconds |
| 21959 |
BGuillemet author:BGuillemet |
feat(Topology/ContinuousMap): Stone-Weierstrass theorem for MvPolynomial |
Add the subalgebra of multivariate polynomials and prove it separates points, on the same model as `ContinuousMap/Polynomial.lean`.
Prove the Stone-Weierstrass theorem and some variations for multivariate polynomials.
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-topology
new-contributor
|
285/1 |
Mathlib.lean,Mathlib/Topology/ContinuousMap/MvPolynomial.lean,Mathlib/Topology/ContinuousMap/StoneWeierstrass.lean |
3 |
1 |
['github-actions'] |
nobody |
469-67697 1 year ago |
469-67697 469 days ago |
16-76141 16 days |
| 19177 |
adomani author:adomani |
test: the findDefEqAbuse linter |
This is a prototype, as per [this Zulip discussion](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Locating.20defeq.20abuse)
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
large-import
|
126/0 |
Mathlib.lean,Mathlib/Tactic.lean,Mathlib/Tactic/Linter.lean,Mathlib/Tactic/Linter/FindDefEqAbuse.lean,MathlibTest/FindDefEqAbuse.lean |
5 |
1 |
['github-actions'] |
nobody |
467-69710 1 year ago |
unknown |
0-0 0 seconds |
| 22359 |
adomani author:adomani |
feat(whitespace): do not allow indented doc-strings |
In a doc-string, Do not allow the first character after the first line break to be a space.
---
There are approximately 2.5k exceptions. I think that they should be unindented, judging from the sample that I looked at, but won't act on it, unless there is a clear plan to fix and merge this modification!
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
WIP
t-linter
large-import
|
222/70 |
Archive/Wiedijk100Theorems/BuffonsNeedle.lean,Mathlib.lean,Mathlib/Algebra/Module/SpanRank.lean,Mathlib/AlgebraicTopology/SimplicialSet/NerveAdjunction.lean,Mathlib/Analysis/Asymptotics/ExpGrowth.lean,Mathlib/Data/Matroid/Circuit.lean,Mathlib/Init.lean,Mathlib/Lean/Meta/RefinedDiscrTree/Encode.lean,Mathlib/LinearAlgebra/Dimension/StrongRankCondition.lean,Mathlib/LinearAlgebra/LinearIndependent/Basic.lean,Mathlib/LinearAlgebra/LinearIndependent/Defs.lean,Mathlib/Tactic.lean,Mathlib/Tactic/FunProp/Decl.lean,Mathlib/Tactic/FunProp/Theorems.lean,Mathlib/Tactic/Linter.lean,Mathlib/Tactic/Linter/DocString.lean,Mathlib/Topology/Path.lean,Mathlib/Topology/UnitInterval.lean,MathlibTest/LintDocstring.lean,lakefile.lean |
20 |
1 |
['github-actions'] |
nobody |
467-68629 1 year ago |
476-8302 476 days ago |
0-2590 43 minutes |
| 18470 |
FR-vdash-bot author:FR-vdash-bot |
perf: lower the priority of `Normed*.to*` instances |
---
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From #7873.
[](https://gitpod.io/from-referrer/)
|
merge-conflict
slow-typeclass-synthesis
t-algebra
t-analysis
label:t-algebra$ |
28/0 |
Mathlib/Analysis/Normed/Field/Basic.lean,Mathlib/Analysis/Normed/Group/Basic.lean |
2 |
9 |
['astrainfinita', 'github-actions', 'jcommelin', 'leanprover-bot'] |
nobody |
465-39124 1 year ago |
465-39124 465 days ago |
129-16341 129 days |
| 17368 |
Felix-Weilacher author:Felix-Weilacher |
feat(Topology/Baire/BaireMeasurable): add the Kuratowski-Ulam theorem |
Add the Kuratowski-Ulam theorem, which one can think of as a "Fubini" for Baire category.
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-topology
|
187/1 |
Mathlib/MeasureTheory/MeasurableSpace/Basic.lean,Mathlib/Order/Filter/Basic.lean,Mathlib/Topology/Baire/BaireMeasurable.lean,Mathlib/Topology/Constructions.lean,Mathlib/Topology/GDelta/Basic.lean |
5 |
6 |
['Felix-Weilacher', 'github-actions', 'urkud'] |
nobody |
463-63193 1 year ago |
600-74712 600 days ago |
22-48725 22 days |
| 8767 |
eric-wieser author:eric-wieser |
refactor(Cache): tidy lake-manifest parsing in Cache |
This now respects local copies of Mathlib dependencies (though in practice these invalidate the *online* cache because to point to local copies of Mathlib, the hash for `lakefile.lean` and `lake-manifest.json` is first invalidated).
---
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- [x] depends on: #11492
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-meta
|
49/49 |
Cache/Hashing.lean,Cache/IO.lean,lake-manifest.json |
3 |
8 |
['digama0', 'eric-wieser', 'github-actions', 'leanprover-community-mathlib4-bot'] |
nobody |
462-38856 1 year ago |
644-4806 644 days ago |
119-35643 119 days |
| 22434 |
qawbecrdtey author:qawbecrdtey |
feat(Mathlib/Analysis/Normed/Lp/WithLp): Added more instances for `WithLp` |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-analysis
|
51/22 |
Mathlib/Analysis/Normed/Lp/WithLp.lean |
1 |
11 |
['eric-wieser', 'github-actions', 'leanprover-bot', 'qawbecrdtey'] |
nobody |
461-68295 1 year ago |
468-37560 468 days ago |
1-79072 1 day |
| 15578 |
znssong author:znssong |
feat(Function): Fixed points of function `f` with `f(x) >= x` |
We added some lemmas of fixed points of function `f` with `f(x) >= x`, where `f : α → α` is a function on a finite type `α`. This will be needed in proof of Bondy-Chvátal theorem.
---
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See also branch `meow-sister/BondyChvatal`.
[](https://gitpod.io/from-referrer/) |
merge-conflict
awaiting-author
t-analysis
new-contributor
|
82/0 |
Mathlib.lean,Mathlib/Dynamics/FixedPoints/Basic.lean,Mathlib/Dynamics/FixedPoints/Increasing.lean |
3 |
32 |
['Ruben-VandeVelde', 'YaelDillies', 'github-actions', 'urkud', 'vihdzp', 'znssong'] |
nobody |
461-63523 1 year ago |
644-66752 644 days ago |
29-48368 29 days |
| 22660 |
Ruben-VandeVelde author:Ruben-VandeVelde |
chore: follow naming convention around Group.IsNilpotent |
---
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|
merge-conflict
t-algebra
label:t-algebra$ |
133/67 |
Mathlib/GroupTheory/Frattini.lean,Mathlib/GroupTheory/Nilpotent.lean,Mathlib/GroupTheory/SpecificGroups/ZGroup.lean |
3 |
1 |
['github-actions'] |
nobody |
458-3552 1 year ago |
458-3552 458 days ago |
10-48025 10 days |
| 13999 |
adomani author:adomani |
feat: a linter to flag potential confusing conventions |
Currently, the linter flags all uses of
* `a - b` where `a b : Nat`;
* `a / b` where `a b : Nat` or `a b : Int`;
* `a / 0` more or less whenever the type of `a` has a `0` and a division.
This comes up often when starting to use Lean and hopefully the flag can help mitigate initial confusions.
When the local context contains the relevant inequality/divisibility hypothesis, the linter is quiet.
A recent [Zulip discussion](https://leanprover.zulipchat.com/#narrow/stream/113489-new-members/topic/not.20understanding.20deliberate.20error.20with.20.60ring.60.20over.20.E2.84.95/near/445879310)
---
To make sure that the linter does not produce errors, #14007 activates the linter on "all" of mathlib. The expectation is that no error is thrown, just warnings.
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|
merge-conflict
t-linter
awaiting-author
|
251/0 |
Mathlib.lean,Mathlib/Tactic.lean,Mathlib/Tactic/Linter/Papercut.lean,MathlibTest/Papercut.lean |
4 |
24 |
['Julian', 'YaelDillies', 'adomani', 'eric-wieser', 'github-actions'] |
nobody |
457-35586 1 year ago |
718-13077 718 days ago |
7-47589 7 days |
| 19013 |
quangvdao author:quangvdao |
feat(Algebra/BigOperators/Fin): Add `finSigmaFinEquiv` |
This PR adds `finSigmaFinEquiv` which is the equivalence `(i : Fin m) × Fin (n i) ≃ Fin (∑ i, n i)`. This is the dependent version of `finProdFinEquiv`.
CI should be passing, but there are two things I'd like feedback on:
1. When defining the mappings, I have to consider `m = 0` separately. Is there a more uniform definition?
2. I'm proving this as a step toward defining `Fin.join`, which is the analogue of `List.join`. I can now technically define `Fin.join` as:
```
variable {a : Fin n → ℕ} {α : (i : Fin n) → (j : Fin (a i)) → Sort*}
def join (v : (i : Fin n) → (j : Fin (a i)) → α i j) (k : Fin (∑ i, a i)) :
α (finSigmaFinEquiv.invFun k).1 (finSigmaFinEquiv.invFun k).2 :=
v (finSigmaFinEquiv.invFun k).1 (finSigmaFinEquiv.invFun k).2
```
but this looks horrible. This highly motivates refactoring `invFun` as two new definitions:
```
def func1 {n : ℕ} (a : Fin n → ℕ) (k : Fin (∑ i, a i)) : Fin n := sorry
def func2 {n : ℕ} (a : Fin n → ℕ) (k : Fin (∑ i, a i)) : Fin (a (func1 a k)) := sorry
```
I'm not sure what to call these functions. The analogues in the non-dependent case are `divNat` and `modNat`.
---
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|
merge-conflict
awaiting-author
t-algebra
label:t-algebra$ |
92/16 |
Mathlib/Algebra/BigOperators/Fin.lean |
1 |
14 |
['YaelDillies', 'eric-wieser', 'github-actions', 'quangvdao'] |
nobody |
455-57619 1 year ago |
577-35547 577 days ago |
3-28829 3 days |
| 20389 |
eric-wieser author:eric-wieser |
feat: generalize results to `WithLp 0` |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-analysis
|
116/53 |
Mathlib/Analysis/Normed/Lp/PiLp.lean |
1 |
1 |
['github-actions'] |
nobody |
454-46167 1 year ago |
unknown |
0-0 0 seconds |
| 19227 |
adomani author:adomani |
fix(CI): unwrap `lake test` in problem matcher |
... and also add a `#guard_msgs` in `AssertImported` test, so that `lake test` properly fails.
[Zulip discussion](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/CI.3A.20noisy.20.22test.20mathlib.22/near/483126955)
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
CI
|
9/20 |
.github/build.in.yml,.github/workflows/bors.yml,.github/workflows/build.yml,.github/workflows/build_fork.yml,MathlibTest/AssertImported.lean |
5 |
2 |
['bryangingechen', 'github-actions'] |
nobody |
452-76655 1 year ago |
553-30926 553 days ago |
22-71271 22 days |
| 15774 |
kkytola author:kkytola |
feat: Topology on `ENat` |
This PR may contain some results that are not in the PR that adds a toppology on `ENat`.
---
The immediate motivation is to be able to make the right continuity statement of the extended floor function on `ENNReal`, when this floor function is made `ENat`valued as suggested in the PR review of #15269.
The API here is modelled on the early parts of [the corresponding ENNReal file](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Topology/Instances/ENNReal.html#top), although much of this case is more trivial.
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
WIP
t-topology
t-order
|
161/9 |
Mathlib/Data/ENat/Basic.lean,Mathlib/Topology/Instances/ENat.lean |
2 |
4 |
['YaelDillies', 'github-actions', 'leanprover-community-mathlib4-bot'] |
nobody |
448-34187 1 year ago |
673-63730 673 days ago |
0-6819 1 hour |
| 16009 |
Command-Master author:Command-Master |
acyclic graph |
---
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|
merge-conflict
WIP
t-combinatorics
|
232/0 |
Mathlib/Combinatorics/SimpleGraph/Acyclic.lean |
1 |
1 |
['github-actions'] |
nobody |
446-68736 1 year ago |
unknown |
0-0 0 seconds |
| 20222 |
eric-wieser author:eric-wieser |
feat: generalize lemmas about derivatives |
Rather than creating a huge diff by shuffling things around, this generalizes everything in-place and swaps between `section`s for topological and normed vector spaces.
The rationale for this approach is that:
* we may further generalize the results of this file, and this avoids us jumbling up the order multiple times unnecessarily.
* this greatly reduces the chance of merge conflicts
---
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- [ ] depends on: #21065
[](https://gitpod.io/from-referrer/)
|
merge-conflict
blocked-by-other-PR
t-analysis
|
554/50 |
Mathlib/Analysis/Calculus/Deriv/Basic.lean,Mathlib/Analysis/Calculus/FDeriv/Basic.lean,MathlibTest/Recall.lean |
3 |
8 |
['adomani', 'eric-wieser', 'github-actions', 'leanprover-bot', 'mathlib4-dependent-issues-bot'] |
nobody |
444-4455 1 year ago |
507-17697 507 days ago |
7-27718 7 days |
| 21018 |
markimunro author:markimunro |
feat(Data/Matrix): add file with key definitions and theorems about elementary row operations |
Prove that each elementary row operation is equivalent to a multiplication by an elementary matrix, has another row operation which inverts it, and that each elementary matrix has a left inverse.
This is a very large PR and I understand it will take time. This is my first one and will likely have issues but I will be ready to answer questions/fix them as soon as possible.
Co-authored-by: Christopher Lynch <clynch@clarkson.edu>
---
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|
t-data
enhancement
new-contributor
merge-conflict
awaiting-author
|
1230/0 |
Mathlib.lean,Mathlib/Data/Matrix/ElementaryRowOperations.lean,Mathlib/Data/Matrix/GaussianElimination.lean,Mathlib/Data/Matrix/GaussianEliminationOld,Mathlib/Data/Matrix/oldnames,et --hard 18533caba32,lean-toolchain |
7 |
17 |
['chrisflav', 'eric-wieser', 'github-actions', 'j-loreaux', 'markimunro'] |
nobody |
443-12522 1 year ago |
468-41478 468 days ago |
23-22681 23 days |
| 23514 |
eric-wieser author:eric-wieser |
refactor: smooth over Lattice/LinearOrder inheritance |
This fixes the forgetful inheritance in `CompleteLinearOrder` and `ConditionallyCompleteLinearOrder`, which previously did not carry `compare` fields. (edit: moved to #23515)
The following is the inheritance diagram before, where the dotted lines are manual instances. Note that every lattice typeclass that extends `LinearOrder` has to implement another dotted line edge, and remember to copy all the necessary data fields.
```mermaid
graph TD
LinearOrder --> Min,Max;
LinearOrder --> PartialOrder;
Lattice --> PartialOrder;
CompleteLinearOrder --> Lattice;
ConditionallyCompleteLinearOrder --> Lattice;
LinearOrder-.-> Lattice;
CompleteLinearOrder -.-> LinearOrder;
ConditionallyCompleteLinearOrder -.-> LinearOrder;
```
This change introduces two new auxiliary typeclasses, to encapsulate these troublesome edges. `LinearOrderedLattice` can be thought of as `LinearOrder`, but with `sup`/`inf` instead of `min`/`max`. This is crucial, because it ensures the duplicate fields are merged in `extends CompleteLattice X, LinearOrderedLattice X`, which would not be the case for `extends CompleteLattice X, LinearOrder X`. The result is:
```mermaid
graph TD
LinearOrder --> Min,Max;
LinearOrder --> LinearOrderBase;
LinearOrderBase --> PartialOrder;
Lattice --> PartialOrder;
LinearOrderedLattice -.-> LinearOrder;
LinearOrderedLattice --> LinearOrderBase;
LinearOrderedLattice --> Lattice;
CompleteLinearOrder --> LinearOrderedLattice;
ConditionallyCompleteLinearOrder --> LinearOrderedLattice;
```
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict |
85/66 |
Mathlib/Algebra/Order/Group/Defs.lean,Mathlib/Algebra/Order/Monoid/Defs.lean,Mathlib/Order/Basic.lean,Mathlib/Order/CompleteLattice/Defs.lean,Mathlib/Order/ConditionallyCompleteLattice/Defs.lean,Mathlib/Order/Defs/LinearOrder.lean,Mathlib/Order/Lattice.lean |
7 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
442-38352 1 year ago |
443-43291 443 days ago |
0-172 2 minutes |
| 20746 |
JLimperg author:JLimperg |
Aesop forward branch test |
---
This is not a real PR; I just want to benchmark this Aesop branch.
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|
merge-conflict |
14/6 |
.github/workflows/build.yml,Mathlib/Data/Nat/Prime/Defs.lean,lake-manifest.json,lakefile.lean,scripts/bench/fake-root/lib/lean/libleanshared.so,scripts/bench/run |
6 |
11 |
['JLimperg', 'Kha', 'github-actions', 'leanprover-bot'] |
nobody |
441-82158 1 year ago |
unknown |
0-0 0 seconds |
| 22810 |
pechersky author:pechersky |
feat(Counterexamples): metric space not induced by norm |
Because the distance is not homogeneous
---
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[](https://gitpod.io/from-referrer/)
- [x] depends on: #22845 |
merge-conflict
WIP
t-topology
t-analysis
|
202/1 |
Counterexamples.lean,Counterexamples/NotBoundedSMulMetricSpace.lean,Mathlib.lean,Mathlib/Analysis/Normed/PiNat.lean,Mathlib/Topology/Algebra/Module/LocallyConvex.lean,Mathlib/Topology/MetricSpace/Polish.lean |
6 |
21 |
['eric-wieser', 'github-actions', 'loefflerd', 'mathlib4-dependent-issues-bot', 'pechersky'] |
nobody |
441-74814 1 year ago |
457-21905 457 days ago |
0-82394 22 hours |
| 13124 |
FR-vdash-bot author:FR-vdash-bot |
chore: remove `CovariantClass` and `ContravariantClass` |
Lean cannot handle `CovariantClass` and `ContravariantClass` correctly
- TC slowness
- [Zulip](https://leanprover.zulipchat.com/#narrow/stream/287929-mathlib4/topic/TC.20slowness)
- https://github.com/leanprover-community/mathlib4/issues/6646#issuecomment-1691792488
- It may also have made #6326 fail.
- Needs a weird hack to find instance: #9252
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
WIP
|
602/486 |
Mathlib/Algebra/AddConstMap/Basic.lean,Mathlib/Algebra/Algebra/Operations.lean,Mathlib/Algebra/Algebra/Subalgebra/Pointwise.lean,Mathlib/Algebra/BigOperators/Group/Finset/Basic.lean,Mathlib/Algebra/BigOperators/Group/Multiset/Basic.lean,Mathlib/Algebra/Group/Subgroup/Pointwise.lean,Mathlib/Algebra/Group/Submonoid/Pointwise.lean,Mathlib/Algebra/Group/UniqueProds/Basic.lean,Mathlib/Algebra/Module/Submodule/Pointwise.lean,Mathlib/Algebra/MonoidAlgebra/Degree.lean,Mathlib/Algebra/Order/AddTorsor.lean,Mathlib/Algebra/Order/Group/Action.lean,Mathlib/Algebra/Order/Group/DenselyOrdered.lean,Mathlib/Algebra/Order/Group/Units.lean,Mathlib/Algebra/Order/GroupWithZero/Canonical.lean,Mathlib/Algebra/Order/GroupWithZero/Unbundled.lean,Mathlib/Algebra/Order/GroupWithZero/WithZero.lean,Mathlib/Algebra/Order/Monoid/Defs.lean,Mathlib/Algebra/Order/Monoid/Unbundled/Basic.lean,Mathlib/Algebra/Order/Monoid/Unbundled/Defs.lean,Mathlib/Algebra/Order/Monoid/Unbundled/OrderDual.lean,Mathlib/Algebra/Order/Monoid/Unbundled/WithTop.lean,Mathlib/Algebra/Order/Ring/Defs.lean,Mathlib/Algebra/Order/Ring/WithTop.lean,Mathlib/Algebra/Ring/Subring/Pointwise.lean,Mathlib/Algebra/Ring/Subsemiring/Pointwise.lean,Mathlib/Analysis/SumOverResidueClass.lean,Mathlib/Data/DFinsupp/Lex.lean,Mathlib/Data/Finsupp/Lex.lean,Mathlib/Data/NNRat/Defs.lean,Mathlib/GroupTheory/OrderOfElement.lean,Mathlib/Order/Filter/IsBounded.lean,Mathlib/Order/Filter/Pointwise.lean,Mathlib/Probability/Kernel/Defs.lean,Mathlib/RingTheory/Ideal/Pointwise.lean,Mathlib/RingTheory/Valuation/ValuationSubring.lean,Mathlib/Topology/Algebra/Order/LiminfLimsup.lean |
37 |
6 |
['MichaelStollBayreuth', 'astrainfinita', 'github-actions', 'leanprover-bot', 'mathlib4-dependent-issues-bot'] |
nobody |
441-16391 1 year ago |
unknown |
0-0 0 seconds |
| 15212 |
victorliu5296 author:victorliu5296 |
feat: Add fundamental theorem of calculus-2 for Banach spaces |
add the Mean Value Theorem for Banach spaces to the library and include reference for the theorem statement
This theorem states that if `f : X → Y` is differentiable along the line segment from `a` to `b`, then the change in `f` equals the integral of its derivative along this path. This extends the mean value theorem to Banach spaces. This can be used for the eventual proof of the Newton-Kantorovich theorem with 1 constant contained inside the added reference.
Here is the discussion on Zulipchat: https://leanprover.zulipchat.com/#narrow/stream/287929-mathlib4/topic/Contributing.20FTC-2.20for.20Banach.20spaces |
t-measure-probability
new-contributor
merge-conflict
awaiting-author
t-analysis
|
60/1 |
Mathlib/MeasureTheory/Integral/FundThmCalculus.lean |
1 |
3 |
['github-actions', 'hrmacbeth', 'victorliu5296'] |
nobody |
438-7511 1 year ago |
631-71282 631 days ago |
51-85104 51 days |
| 22888 |
plp127 author:plp127 |
perf: replace `Lean.Expr.swapBVars` with a better? implementation |
Replaces `Lean.Expr.swapBVars` with a version that traverses the expression.
---
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PR is merged. Please leave a blank newline before the `---`, otherwise
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[](https://gitpod.io/from-referrer/)
|
awaiting-author
t-meta
|
14/12 |
Mathlib/Tactic/FunProp/ToBatteries.lean |
1 |
23 |
['eric-wieser', 'github-actions', 'joneugster', 'leanprover-bot', 'leanprover-community-mathlib4-bot', 'plp127'] |
eric-wieser and joneugster assignee:eric-wieser assignee:joneugster |
437-556 1 year ago |
457-50396 457 days ago |
4-80306 4 days |
| 15943 |
urkud author:urkud |
feat: add `ProdQuotientMapSpace` |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-topology
|
731/11 |
Mathlib.lean,Mathlib/Topology/Basic.lean,Mathlib/Topology/Compactness/Compact.lean,Mathlib/Topology/Maps/ProdQuotient.lean |
4 |
2 |
['github-actions', 'leanprover-community-bot-assistant'] |
nobody |
436-25883 1 year ago |
unknown |
0-0 0 seconds |
| 22579 |
kvanvels author:kvanvels |
doc(Topology/Defs/Induced): fix comments on three functions related to RestrictGenTopology |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-topology
documentation
awaiting-author
|
10/9 |
Mathlib/Topology/Defs/Induced.lean,Mathlib/Topology/RestrictGen.lean |
2 |
4 |
['github-actions', 'kvanvels', 'leanprover-community-bot-assistant', 'urkud'] |
nobody |
435-14414 1 year ago |
458-18791 458 days ago |
12-18679 12 days |
| 19771 |
robertylewis author:robertylewis |
perf: qqify two functions in linarith |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-meta
|
17/24 |
Mathlib/Tactic/Linarith/Frontend.lean,Mathlib/Tactic/Linarith/Verification.lean |
2 |
5 |
['github-actions', 'grunweg', 'leanprover-bot', 'leanprover-community-bot-assistant', 'robertylewis'] |
nobody |
434-80320 1 year ago |
unknown |
0-0 0 seconds |
| 22308 |
plp127 author:plp127 |
feat (Analysis/Convex): Generalize `Convex` lemmas to `StarConvex` |
This PR generalizes many lemmas assuming `Convex 𝕜 s` to assume `StarConvex 𝕜 0 s`.
---
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- [x] depends on: #22421
[](https://gitpod.io/from-referrer/)
|
merge-conflict
WIP
t-analysis
new-contributor
|
30/18 |
Mathlib/Analysis/Convex/Gauge.lean,Mathlib/Analysis/Convex/GaugeRescale.lean,Mathlib/Analysis/Convex/Star.lean,Mathlib/Analysis/LocallyConvex/AbsConvexOpen.lean |
4 |
5 |
['Paul-Lez', 'github-actions', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot'] |
nobody |
434-79831 1 year ago |
unknown |
0-0 0 seconds |
| 21488 |
imbrem author:imbrem |
feat(CategoryTheory/Monoidal): premonoidal categories |
Add support for premonoidal categories
---
Still want to add support for:
- Premonoidal braided/symmetric categories
- The monoidal coherence theorem, which I've already ported in my `discretion` library
- The `coherence` tactic, which should work fine for premonoidal categories too
but wanted to get this in front of reviewers ASAP to make sure my general approach was alright
<!-- The text above the `---` will become the commit message when your
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|
merge-conflict
t-category-theory
new-contributor
|
900/361 |
Mathlib/Algebra/Category/ModuleCat/Presheaf/Monoidal.lean,Mathlib/CategoryTheory/Bicategory/End.lean,Mathlib/CategoryTheory/GradedObject/Monoidal.lean,Mathlib/CategoryTheory/Localization/Monoidal.lean,Mathlib/CategoryTheory/Monoidal/Braided/Basic.lean,Mathlib/CategoryTheory/Monoidal/Category.lean,Mathlib/CategoryTheory/Monoidal/Center.lean,Mathlib/CategoryTheory/Monoidal/CoherenceLemmas.lean,Mathlib/CategoryTheory/Monoidal/Discrete.lean,Mathlib/CategoryTheory/Monoidal/End.lean,Mathlib/CategoryTheory/Monoidal/Free/Basic.lean,Mathlib/CategoryTheory/Monoidal/Functor.lean,Mathlib/CategoryTheory/Monoidal/FunctorCategory.lean,Mathlib/CategoryTheory/Monoidal/Mon_.lean,Mathlib/CategoryTheory/Monoidal/Opposite.lean,Mathlib/CategoryTheory/Monoidal/Transport.lean,Mathlib/Tactic/CategoryTheory/Monoidal/Datatypes.lean,Mathlib/Tactic/CategoryTheory/Monoidal/Normalize.lean,Mathlib/Tactic/CategoryTheory/Monoidal/PureCoherence.lean,Mathlib/Tactic/CategoryTheory/MonoidalComp.lean,MathlibTest/StringDiagram.lean |
21 |
9 |
['YaelDillies', 'github-actions', 'grunweg', 'imbrem', 'kim-em', 'leanprover-community-bot-assistant'] |
nobody |
434-76099 1 year ago |
434-76100 434 days ago |
58-6026 58 days |
| 21525 |
sinhp author:sinhp |
feat(CategoryTheory): Locally Cartesian Closed Categories (Prelim) |
This PR defines the basic preliminaries for defining locally cartesian closed categories (LCCCs). In particular, using the calculus of mates we define certain natural isomorphisms involving `Over.star` and `Over.pullback` which will be crucial in defining the right adjoint to the pullback functor in the development of LCCCs.
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-category-theory
large-import
|
338/24 |
Mathlib/CategoryTheory/Comma/Over/Basic.lean,Mathlib/CategoryTheory/Comma/Over/Pullback.lean,Mathlib/CategoryTheory/Galois/Examples.lean |
3 |
13 |
['b-mehta', 'github-actions', 'joelriou', 'leanprover-community-bot-assistant', 'sinhp'] |
nobody |
434-76097 1 year ago |
434-76099 434 days ago |
36-69400 36 days |
| 22319 |
sinhp author:sinhp |
feat(CategoryTheory): Locally Cartesian Closed Categories (Sections Right Adjoint) |
we define the `Over.sections` functor in the file `CategoryTheory.Comma.Over.Sections` and prove that it is a right adjoint to the `Over.star`, thereby solving an existing TODO in `Over.pullback` file.
The `sections` functor is used to define the right adjoint to the pullback functor `Over.pullback` in the development of LCCCs. Moreover, the rest of added lemmas and theorems to `CategoryTheory.Comma.Over.Pullback` are crucial for the development of LCCCs in the next PR.
---
- [ ] depends on: #21525
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
blocked-by-other-PR
t-category-theory
large-import
|
547/24 |
Mathlib.lean,Mathlib/CategoryTheory/Comma/Over/Basic.lean,Mathlib/CategoryTheory/Comma/Over/Pullback.lean,Mathlib/CategoryTheory/Comma/Over/Sections.lean,Mathlib/CategoryTheory/Galois/Examples.lean |
5 |
3 |
['github-actions', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot'] |
nobody |
434-75570 1 year ago |
476-79605 476 days ago |
0-2084 34 minutes |
| 22321 |
sinhp author:sinhp |
feat(CategoryTheory): Locally Cartesian Closed Categories (Definition) |
This PR defines locally cartesian closed categories in terms of existence of the pushforward functors (right adjoint to the pullback functor) for all morphisms. We develop basic API and prove the following:
1. Existence of the pushforward functors is equivalent to cartesian closed slices.
2. Any locally cartesian closed category with a terminal object is cartesian closed.
3. The slices of a locally cartesian closed category are locally cartesian closed.
Some of the content is based on the project of formalization of polynomial functors at the Trimester "Prospect of Formal Mathematics" at the Hausdorff Institute (HIM) in Bonn. https://github.com/sinhp/Poly
I found this implementation of locally cartesian closed categories amenable to polynomial functors formalization.
Co-authored-by: Emily Riehl <eriehl@jhu.edu>
---
- [ ] depends on: #21525
- [ ] depends on: #22319
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
blocked-by-other-PR
t-category-theory
large-import
|
812/24 |
Mathlib.lean,Mathlib/CategoryTheory/Comma/Over/Basic.lean,Mathlib/CategoryTheory/Comma/Over/Pullback.lean,Mathlib/CategoryTheory/Comma/Over/Sections.lean,Mathlib/CategoryTheory/Galois/Examples.lean,Mathlib/CategoryTheory/LocallyCartesianClosed/Basic.lean |
6 |
3 |
['github-actions', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot'] |
nobody |
434-75570 1 year ago |
476-78346 476 days ago |
0-336 5 minutes |
| 13653 |
adomani author:adomani |
feat: the unusedSetOptionIn linter |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-linter
large-import
|
199/0 |
Mathlib.lean,Mathlib/Algebra/Homology/HomotopyCategory/Triangulated.lean,Mathlib/Tactic.lean,Mathlib/Tactic/Linter.lean,Mathlib/Tactic/Linter/UnnecessarySetOptionIn.lean,MathlibTest/UnnecessarySetOptionIn.lean |
6 |
15 |
['adomani', 'github-actions', 'grunweg', 'leanprover-community-bot-assistant'] |
nobody |
434-20535 1 year ago |
unknown |
0-0 0 seconds |
| 19425 |
hrmacbeth author:hrmacbeth |
perf: gcongr forward-reasoning adjustment |
This PR changes the "forward-reasoning" component of `gcongr`, rendering it more efficient, particularly in problems with a large number of variables/hypotheses in the context.
Previously `gcongr` attempted to match *every* `LocalDecl` against *every* node in the parse tree using *each* of the five implemented `@[gcongr_forward]` mini-tactics: matching directly, matching after applying `symm`, matching after applying `le_of_lt`, etc etc.
The new algorithm filters out the non-Prop `LocalDecl`s, and also adjusts the `@[gcongr_forward]` extensions so that, rather than re-apply the relevant lemmas (`symm`, `le_of_lt`, etc) at every node in the parse tree, the lemmas are applied in advance to the `LocalDecl`s and the result (if successful) stored.
The performance effect on mathlib as a whole is miniscule, but it speeds up the profiler's count of "tactic execution of Mathlib.Tactic.GCongr" in the newly-added test from 257 ms to 47 ms, and has a similar effect on real-life examples in an analysis project of mine.
Co-authored-by: Mario Carneiro <di.gama@gmail.com>
---
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(Note that Mario provided the ideas but not the code, so please review with appropriate diligence!) |
merge-conflict
awaiting-author
|
130/59 |
Mathlib/Order/Lattice.lean,Mathlib/Tactic/GCongr/Core.lean,Mathlib/Tactic/GCongr/ForwardAttr.lean,MathlibTest/GCongr/inequalities.lean |
4 |
17 |
['Vierkantor', 'github-actions', 'hrmacbeth', 'leanprover-bot', 'leanprover-community-bot-assistant'] |
Vierkantor assignee:Vierkantor |
434-2231 1 year ago |
566-77048 566 days ago |
1-41769 1 day |
| 20873 |
vbeffara author:vbeffara |
feat(Topology/Covering): path lifting and homotopy lifting |
This proves the existence and uniqueness of path and homotopy lifts through covering maps.
---
I tried to separate as much of the proof as possible into separate PRs (which are already in Mathlib now), but the proof here relies on a monolithic construction of an explicit lift along a well-chosen subdivision, in `partial_lift`, with associated definitions. Only one standalone lean file added.
An older WIP PR #10084 by Junyan Xu @alreadydone proves similar results using a very similar construction for path lifting, with a different argument to obtain continuity for homotopy lifting.
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|
merge-conflict
awaiting-author
t-topology
new-contributor
|
281/1 |
Mathlib.lean,Mathlib/Topology/Covering/Basic.lean,Mathlib/Topology/Covering/Lift.lean |
3 |
9 |
['alreadydone', 'github-actions', 'grunweg', 'vbeffara'] |
nobody |
433-78827 1 year ago |
508-71587 508 days ago |
5-5648 5 days |
| 22817 |
peabrainiac author:peabrainiac |
feat(CategoryTheory/Sites): local sites |
Defines local sites and shows that sheaves of types on them form a local topos, in that the global sections functor `Sheaf.Γ` has a right adjoint `Sheaf.codisc` that is fully faithful.
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
WIP
t-category-theory
|
263/0 |
Mathlib.lean,Mathlib/CategoryTheory/Limits/FunctorCategory/Shapes/Products.lean,Mathlib/CategoryTheory/Limits/Types.lean,Mathlib/CategoryTheory/Sites/GlobalSections.lean,Mathlib/CategoryTheory/Sites/LocalSite.lean,Mathlib/CategoryTheory/Sites/Sheaf.lean |
6 |
4 |
['github-actions', 'joelriou', 'mathlib4-dependent-issues-bot'] |
nobody |
433-12436 1 year ago |
464-13935 464 days ago |
0-568 9 minutes |
| 24040 |
astrainfinita author:astrainfinita |
refactor: unbundle algebra from `(NonUnital){Seminormed, Normed}(Comm)Ring` |
---
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[](https://gitpod.io/from-referrer/)
|
t-algebra
blocked-by-other-PR
merge-conflict
slow-typeclass-synthesis
t-analysis
label:t-algebra$ |
3775/3674 |
Archive/Imo/Imo1998Q2.lean,Counterexamples/LinearOrderWithPosMulPosEqZero.lean,Mathlib/Algebra/Algebra/RestrictScalars.lean,Mathlib/Algebra/Module/ZLattice/Basic.lean,Mathlib/Algebra/Module/ZLattice/Covolume.lean,Mathlib/Algebra/Order/Field/Canonical.lean,Mathlib/Algebra/Order/Field/Rat.lean,Mathlib/Algebra/Order/Floor/Ring.lean,Mathlib/Algebra/Order/GroupWithZero/Canonical.lean,Mathlib/Algebra/Order/GroupWithZero/Finset.lean,Mathlib/Algebra/Order/Hom/Monoid.lean,Mathlib/Algebra/Order/Nonneg/Field.lean,Mathlib/Algebra/Order/Nonneg/Ring.lean,Mathlib/Algebra/Order/Ring/Nat.lean,Mathlib/Analysis/Analytic/Basic.lean,Mathlib/Analysis/Analytic/CPolynomial.lean,Mathlib/Analysis/Analytic/CPolynomialDef.lean,Mathlib/Analysis/Analytic/ChangeOrigin.lean,Mathlib/Analysis/Analytic/Composition.lean,Mathlib/Analysis/Analytic/Constructions.lean,Mathlib/Analysis/Analytic/Inverse.lean,Mathlib/Analysis/Analytic/IsolatedZeros.lean,Mathlib/Analysis/Analytic/IteratedFDeriv.lean,Mathlib/Analysis/Analytic/Linear.lean,Mathlib/Analysis/Analytic/OfScalars.lean,Mathlib/Analysis/Analytic/Order.lean,Mathlib/Analysis/Analytic/Polynomial.lean,Mathlib/Analysis/Analytic/RadiusLiminf.lean,Mathlib/Analysis/Analytic/Uniqueness.lean,Mathlib/Analysis/Analytic/Within.lean,Mathlib/Analysis/Asymptotics/AsymptoticEquivalent.lean,Mathlib/Analysis/Asymptotics/Defs.lean,Mathlib/Analysis/Asymptotics/Lemmas.lean,Mathlib/Analysis/Asymptotics/SpecificAsymptotics.lean,Mathlib/Analysis/Asymptotics/TVS.lean,Mathlib/Analysis/Asymptotics/Theta.lean,Mathlib/Analysis/BoundedVariation.lean,Mathlib/Analysis/BoxIntegral/Basic.lean,Mathlib/Analysis/BoxIntegral/DivergenceTheorem.lean,Mathlib/Analysis/BoxIntegral/Integrability.lean,Mathlib/Analysis/BoxIntegral/Partition/Additive.lean,Mathlib/Analysis/BoxIntegral/Partition/Measure.lean,Mathlib/Analysis/CStarAlgebra/Basic.lean,Mathlib/Analysis/CStarAlgebra/CStarMatrix.lean,Mathlib/Analysis/CStarAlgebra/Classes.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Basic.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Instances.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Integral.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Isometric.lean,Mathlib/Analysis/CStarAlgebra/ContinuousLinearMap.lean,Mathlib/Analysis/CStarAlgebra/ContinuousMap.lean,Mathlib/Analysis/CStarAlgebra/Exponential.lean,Mathlib/Analysis/CStarAlgebra/GelfandDuality.lean,Mathlib/Analysis/CStarAlgebra/Matrix.lean,Mathlib/Analysis/CStarAlgebra/Module/Constructions.lean,Mathlib/Analysis/CStarAlgebra/Module/Defs.lean,Mathlib/Analysis/CStarAlgebra/Multiplier.lean,Mathlib/Analysis/CStarAlgebra/Spectrum.lean,Mathlib/Analysis/CStarAlgebra/Unitization.lean,Mathlib/Analysis/CStarAlgebra/lpSpace.lean,Mathlib/Analysis/Calculus/AddTorsor/AffineMap.lean,Mathlib/Analysis/Calculus/AddTorsor/Coord.lean,Mathlib/Analysis/Calculus/BumpFunction/Basic.lean,Mathlib/Analysis/Calculus/BumpFunction/Convolution.lean,Mathlib/Analysis/Calculus/BumpFunction/FiniteDimension.lean,Mathlib/Analysis/Calculus/BumpFunction/InnerProduct.lean,Mathlib/Analysis/Calculus/BumpFunction/Normed.lean,Mathlib/Analysis/Calculus/Conformal/InnerProduct.lean,Mathlib/Analysis/Calculus/Conformal/NormedSpace.lean,Mathlib/Analysis/Calculus/ContDiff/Basic.lean,Mathlib/Analysis/Calculus/ContDiff/Bounds.lean,Mathlib/Analysis/Calculus/ContDiff/CPolynomial.lean,Mathlib/Analysis/Calculus/ContDiff/Defs.lean,Mathlib/Analysis/Calculus/ContDiff/FTaylorSeries.lean,Mathlib/Analysis/Calculus/ContDiff/FaaDiBruno.lean,Mathlib/Analysis/Calculus/ContDiff/FiniteDimension.lean,Mathlib/Analysis/Calculus/ContDiff/Operations.lean,Mathlib/Analysis/Calculus/ContDiff/RCLike.lean,Mathlib/Analysis/Calculus/ContDiff/WithLp.lean,Mathlib/Analysis/Calculus/DSlope.lean,Mathlib/Analysis/Calculus/Deriv/Abs.lean,Mathlib/Analysis/Calculus/Deriv/Add.lean,Mathlib/Analysis/Calculus/Deriv/AffineMap.lean,Mathlib/Analysis/Calculus/Deriv/Basic.lean,Mathlib/Analysis/Calculus/Deriv/Comp.lean,Mathlib/Analysis/Calculus/Deriv/Inv.lean,Mathlib/Analysis/Calculus/Deriv/Inverse.lean,Mathlib/Analysis/Calculus/Deriv/Linear.lean,Mathlib/Analysis/Calculus/Deriv/Mul.lean,Mathlib/Analysis/Calculus/Deriv/Prod.lean,Mathlib/Analysis/Calculus/Deriv/Shift.lean,Mathlib/Analysis/Calculus/Deriv/Slope.lean,Mathlib/Analysis/Calculus/Deriv/Star.lean,Mathlib/Analysis/Calculus/Deriv/Support.lean,Mathlib/Analysis/Calculus/Deriv/ZPow.lean,Mathlib/Analysis/Calculus/DiffContOnCl.lean,Mathlib/Analysis/Calculus/FDeriv/Add.lean,Mathlib/Analysis/Calculus/FDeriv/Analytic.lean,Mathlib/Analysis/Calculus/FDeriv/Basic.lean,Mathlib/Analysis/Calculus/FDeriv/Bilinear.lean |
630 |
5 |
['astrainfinita', 'github-actions', 'leanprover-bot', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot'] |
nobody |
429-69530 1 year ago |
unknown |
0-0 0 seconds |
| 16314 |
FR-vdash-bot author:FR-vdash-bot |
chore(Data/Quot): deprecate `ind*'` APIs |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-data
|
247/287 |
Counterexamples/CliffordAlgebraNotInjective.lean,Mathlib/Algebra/Colimit/Module.lean,Mathlib/Algebra/Lie/Quotient.lean,Mathlib/Algebra/Module/Torsion.lean,Mathlib/Algebra/RingQuot.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Angle.lean,Mathlib/CategoryTheory/ConnectedComponents.lean,Mathlib/CategoryTheory/Subobject/Basic.lean,Mathlib/CategoryTheory/Subobject/FactorThru.lean,Mathlib/CategoryTheory/Subobject/Lattice.lean,Mathlib/Computability/Reduce.lean,Mathlib/Computability/Tape.lean,Mathlib/Data/List/Cycle.lean,Mathlib/Data/Multiset/MapFold.lean,Mathlib/Data/Multiset/ZeroCons.lean,Mathlib/Data/Quot.lean,Mathlib/Data/Setoid/Basic.lean,Mathlib/Data/Setoid/Partition.lean,Mathlib/FieldTheory/Fixed.lean,Mathlib/GroupTheory/Complement.lean,Mathlib/GroupTheory/Congruence/Basic.lean,Mathlib/GroupTheory/Congruence/Defs.lean,Mathlib/GroupTheory/Congruence/Hom.lean,Mathlib/GroupTheory/Coset/Basic.lean,Mathlib/GroupTheory/Coset/Defs.lean,Mathlib/GroupTheory/FreeAbelianGroup.lean,Mathlib/GroupTheory/GroupAction/Basic.lean,Mathlib/GroupTheory/GroupAction/Defs.lean,Mathlib/GroupTheory/GroupAction/Quotient.lean,Mathlib/GroupTheory/Index.lean,Mathlib/GroupTheory/MonoidLocalization/Basic.lean,Mathlib/GroupTheory/PGroup.lean,Mathlib/GroupTheory/Perm/Cycle/Concrete.lean,Mathlib/GroupTheory/PresentedGroup.lean,Mathlib/GroupTheory/QuotientGroup/Basic.lean,Mathlib/GroupTheory/QuotientGroup/Defs.lean,Mathlib/GroupTheory/SchurZassenhaus.lean,Mathlib/GroupTheory/Sylow.lean,Mathlib/LinearAlgebra/Alternating/DomCoprod.lean,Mathlib/LinearAlgebra/Projectivization/Basic.lean,Mathlib/LinearAlgebra/Quotient/Basic.lean,Mathlib/LinearAlgebra/Quotient/Defs.lean,Mathlib/MeasureTheory/Function/AEEqFun.lean,Mathlib/NumberTheory/Padics/PadicNumbers.lean,Mathlib/NumberTheory/RamificationInertia/Basic.lean,Mathlib/Order/Antisymmetrization.lean,Mathlib/Order/Category/PartOrd.lean,Mathlib/Order/Filter/Germ/Basic.lean,Mathlib/RepresentationTheory/GroupCohomology/Hilbert90.lean,Mathlib/RingTheory/AdicCompletion/Algebra.lean,Mathlib/RingTheory/AdicCompletion/Basic.lean,Mathlib/RingTheory/AdicCompletion/Functoriality.lean,Mathlib/RingTheory/AdjoinRoot.lean,Mathlib/RingTheory/Congruence/Basic.lean,Mathlib/RingTheory/Flat/FaithfullyFlat/Basic.lean,Mathlib/RingTheory/GradedAlgebra/HomogeneousLocalization.lean,Mathlib/RingTheory/Ideal/Cotangent.lean,Mathlib/RingTheory/Ideal/Norm/AbsNorm.lean,Mathlib/RingTheory/Ideal/Quotient/Basic.lean,Mathlib/RingTheory/Ideal/Quotient/Defs.lean,Mathlib/RingTheory/Ideal/Quotient/Operations.lean,Mathlib/RingTheory/Valuation/Quotient.lean,Mathlib/Topology/Algebra/Group/TopologicalAbelianization.lean,Mathlib/Topology/Algebra/InfiniteSum/Module.lean,Mathlib/Topology/Separation/Basic.lean |
65 |
4 |
['github-actions', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot'] |
nobody |
429-14663 1 year ago |
429-14665 429 days ago |
55-52030 55 days |
| 23509 |
eric-wieser author:eric-wieser |
refactor: Make ENNReal an abbrev |
The `Coe` instance becomes `CoeTC` to match what we do for `WithTop` (such that the priority kicks in)
Probably we could have both copies and things would be ok.
---
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This includes part of #23750
|
merge-conflict
t-data
|
22/66 |
Mathlib/Data/ENNReal/Basic.lean,Mathlib/Data/ENNReal/BigOperators.lean,Mathlib/Data/ENNReal/Operations.lean,Mathlib/MeasureTheory/Integral/SetToL1.lean,Mathlib/MeasureTheory/Measure/Sub.lean,Mathlib/MeasureTheory/Measure/TightNormed.lean,Mathlib/Topology/MetricSpace/PartitionOfUnity.lean |
7 |
22 |
['eric-wieser', 'github-actions', 'leanprover-bot', 'leanprover-community-bot-assistant', 'leanprover-community-mathlib4-bot', 'mattrobball', 'urkud'] |
nobody |
428-84716 1 year ago |
430-69444 430 days ago |
5-23475 5 days |
| 24060 |
eric-wieser author:eric-wieser |
chore(MeasureTheory): use `0` instead of `const _ 0` |
---
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|
merge-conflict
t-measure-probability
|
30/20 |
Mathlib/MeasureTheory/Function/SimpleFunc.lean,Mathlib/MeasureTheory/Function/SimpleFuncDense.lean,Mathlib/MeasureTheory/Function/SimpleFuncDenseLp.lean,Mathlib/MeasureTheory/Integral/Bochner/VitaliCaratheodory.lean,Mathlib/MeasureTheory/Integral/Lebesgue/Countable.lean,Mathlib/MeasureTheory/Integral/SetToL1.lean,Mathlib/Probability/StrongLaw.lean |
7 |
2 |
['github-actions', 'leanprover-community-bot-assistant'] |
nobody |
428-74411 1 year ago |
unknown |
0-0 0 seconds |
| 24058 |
FR-vdash-bot author:FR-vdash-bot |
refactor: unbundle algebra from `*NormedField` |
---
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|
t-algebra
blocked-by-other-PR
merge-conflict
slow-typeclass-synthesis
t-analysis
label:t-algebra$ |
4602/4346 |
Archive/Hairer.lean,Archive/Imo/Imo1998Q2.lean,Counterexamples/LinearOrderWithPosMulPosEqZero.lean,Mathlib/Algebra/Algebra/RestrictScalars.lean,Mathlib/Algebra/Module/ZLattice/Basic.lean,Mathlib/Algebra/Module/ZLattice/Covolume.lean,Mathlib/Algebra/Order/Field/Canonical.lean,Mathlib/Algebra/Order/Field/Rat.lean,Mathlib/Algebra/Order/Floor/Ring.lean,Mathlib/Algebra/Order/GroupWithZero/Canonical.lean,Mathlib/Algebra/Order/GroupWithZero/Finset.lean,Mathlib/Algebra/Order/Hom/Monoid.lean,Mathlib/Algebra/Order/Nonneg/Field.lean,Mathlib/Algebra/Order/Nonneg/Ring.lean,Mathlib/Algebra/Order/Ring/Nat.lean,Mathlib/Analysis/Analytic/Basic.lean,Mathlib/Analysis/Analytic/CPolynomial.lean,Mathlib/Analysis/Analytic/CPolynomialDef.lean,Mathlib/Analysis/Analytic/ChangeOrigin.lean,Mathlib/Analysis/Analytic/Composition.lean,Mathlib/Analysis/Analytic/Constructions.lean,Mathlib/Analysis/Analytic/Inverse.lean,Mathlib/Analysis/Analytic/IsolatedZeros.lean,Mathlib/Analysis/Analytic/IteratedFDeriv.lean,Mathlib/Analysis/Analytic/Linear.lean,Mathlib/Analysis/Analytic/OfScalars.lean,Mathlib/Analysis/Analytic/Order.lean,Mathlib/Analysis/Analytic/Polynomial.lean,Mathlib/Analysis/Analytic/RadiusLiminf.lean,Mathlib/Analysis/Analytic/Uniqueness.lean,Mathlib/Analysis/Analytic/Within.lean,Mathlib/Analysis/Asymptotics/AsymptoticEquivalent.lean,Mathlib/Analysis/Asymptotics/Defs.lean,Mathlib/Analysis/Asymptotics/Lemmas.lean,Mathlib/Analysis/Asymptotics/SpecificAsymptotics.lean,Mathlib/Analysis/Asymptotics/SuperpolynomialDecay.lean,Mathlib/Analysis/Asymptotics/TVS.lean,Mathlib/Analysis/Asymptotics/Theta.lean,Mathlib/Analysis/BoundedVariation.lean,Mathlib/Analysis/BoxIntegral/Basic.lean,Mathlib/Analysis/BoxIntegral/DivergenceTheorem.lean,Mathlib/Analysis/BoxIntegral/Integrability.lean,Mathlib/Analysis/BoxIntegral/Partition/Additive.lean,Mathlib/Analysis/BoxIntegral/Partition/Measure.lean,Mathlib/Analysis/CStarAlgebra/Basic.lean,Mathlib/Analysis/CStarAlgebra/CStarMatrix.lean,Mathlib/Analysis/CStarAlgebra/Classes.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Basic.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Instances.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Integral.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Isometric.lean,Mathlib/Analysis/CStarAlgebra/ContinuousLinearMap.lean,Mathlib/Analysis/CStarAlgebra/ContinuousMap.lean,Mathlib/Analysis/CStarAlgebra/Exponential.lean,Mathlib/Analysis/CStarAlgebra/GelfandDuality.lean,Mathlib/Analysis/CStarAlgebra/Matrix.lean,Mathlib/Analysis/CStarAlgebra/Module/Constructions.lean,Mathlib/Analysis/CStarAlgebra/Module/Defs.lean,Mathlib/Analysis/CStarAlgebra/Multiplier.lean,Mathlib/Analysis/CStarAlgebra/Spectrum.lean,Mathlib/Analysis/CStarAlgebra/Unitization.lean,Mathlib/Analysis/CStarAlgebra/lpSpace.lean,Mathlib/Analysis/Calculus/AddTorsor/AffineMap.lean,Mathlib/Analysis/Calculus/AddTorsor/Coord.lean,Mathlib/Analysis/Calculus/BumpFunction/Basic.lean,Mathlib/Analysis/Calculus/BumpFunction/Convolution.lean,Mathlib/Analysis/Calculus/BumpFunction/FiniteDimension.lean,Mathlib/Analysis/Calculus/BumpFunction/InnerProduct.lean,Mathlib/Analysis/Calculus/BumpFunction/Normed.lean,Mathlib/Analysis/Calculus/Conformal/InnerProduct.lean,Mathlib/Analysis/Calculus/Conformal/NormedSpace.lean,Mathlib/Analysis/Calculus/ContDiff/Basic.lean,Mathlib/Analysis/Calculus/ContDiff/Bounds.lean,Mathlib/Analysis/Calculus/ContDiff/CPolynomial.lean,Mathlib/Analysis/Calculus/ContDiff/Defs.lean,Mathlib/Analysis/Calculus/ContDiff/FTaylorSeries.lean,Mathlib/Analysis/Calculus/ContDiff/FaaDiBruno.lean,Mathlib/Analysis/Calculus/ContDiff/FiniteDimension.lean,Mathlib/Analysis/Calculus/ContDiff/Operations.lean,Mathlib/Analysis/Calculus/ContDiff/RCLike.lean,Mathlib/Analysis/Calculus/ContDiff/WithLp.lean,Mathlib/Analysis/Calculus/DSlope.lean,Mathlib/Analysis/Calculus/Deriv/Abs.lean,Mathlib/Analysis/Calculus/Deriv/Add.lean,Mathlib/Analysis/Calculus/Deriv/AffineMap.lean,Mathlib/Analysis/Calculus/Deriv/Basic.lean,Mathlib/Analysis/Calculus/Deriv/Comp.lean,Mathlib/Analysis/Calculus/Deriv/Inv.lean,Mathlib/Analysis/Calculus/Deriv/Inverse.lean,Mathlib/Analysis/Calculus/Deriv/Linear.lean,Mathlib/Analysis/Calculus/Deriv/Mul.lean,Mathlib/Analysis/Calculus/Deriv/Pi.lean,Mathlib/Analysis/Calculus/Deriv/Polynomial.lean,Mathlib/Analysis/Calculus/Deriv/Pow.lean,Mathlib/Analysis/Calculus/Deriv/Prod.lean,Mathlib/Analysis/Calculus/Deriv/Shift.lean,Mathlib/Analysis/Calculus/Deriv/Slope.lean,Mathlib/Analysis/Calculus/Deriv/Star.lean,Mathlib/Analysis/Calculus/Deriv/Support.lean,Mathlib/Analysis/Calculus/Deriv/ZPow.lean |
665 |
7 |
['astrainfinita', 'github-actions', 'leanprover-bot', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot'] |
nobody |
428-64321 1 year ago |
unknown |
0-0 0 seconds |
| 11455 |
adomani author:adomani |
fix: unsqueeze simp, re Yaël's comments on #11259 |
This PR reverts/simplifies some of the "squeeze `simp`" changes in #11259.
See #11259 for context.
---
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|
merge-conflict
awaiting-author
|
3/6 |
Mathlib/Algebra/Group/Conj.lean,Mathlib/Data/Seq/WSeq.lean |
2 |
8 |
['Ruben-VandeVelde', 'YaelDillies', 'grunweg', 'loefflerd', 'robertylewis', 'urkud'] |
nobody |
428-46316 1 year ago |
726-76223 726 days ago |
93-60645 93 days |
| 7325 |
eric-wieser author:eric-wieser |
chore: use preimageIso instead of defeq abuse for InducedCategory |
This makes a few things slightly more verbose, but the type casts are now explicit in those places.
---
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|
merge-conflict
t-category-theory
awaiting-CI
|
22/21 |
Mathlib/CategoryTheory/EssentialImage.lean,Mathlib/CategoryTheory/Monoidal/Braided.lean,Mathlib/CategoryTheory/Monoidal/Subcategory.lean |
3 |
1 |
['grunweg'] |
nobody |
428-46195 1 year ago |
unknown |
0-0 0 seconds |
| 7874 |
astrainfinita author:astrainfinita |
chore: make `IsScalarTower A A B` and `IsScalarTower A B B` higher priority |
---
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|
merge-conflict
slow-typeclass-synthesis
t-algebra
awaiting-CI
label:t-algebra$ |
10/9 |
Mathlib/Algebra/Algebra/Defs.lean,Mathlib/Algebra/Group/Action/Defs.lean,Mathlib/Data/Rat/Cast/Defs.lean,Mathlib/GroupTheory/GroupAction/Ring.lean |
4 |
3 |
['astrainfinita', 'grunweg', 'leanprover-bot'] |
nobody |
428-46170 1 year ago |
unknown |
0-0 0 seconds |
| 13038 |
adomani author:adomani |
feat: Mathlib weekly reports |
This PR introduces a weekly cron job that computes a "global" report on the evolution of Mathlib in the previous week.
It consists of
* a CI workflow with a cron job that runs at minight on Sunday (`.github/workflows/mathlib_stats.yaml`);
* a Lean file extracting a categorized list of "all" the declarations in Mathlib (`scripts/count_decls.lean`);
* a bash file computing Git-diff-related information and collating the data from the Lean file (`scripts/mathlib_stats.sh`);
* a convenience CI workflow that is triggered on adding the `test-ci` label and results in posting on the PR and on Zulip the report (`.github/workflows/mathlib_stats_label.yaml`).
The second CI workflow is intended to be removed just before/right after the PR is ready to merge.
[Zulip discussion](https://leanprover.zulipchat.com/#narrow/stream/113488-general)
[Thread for the reports](https://leanprover.zulipchat.com/#narrow/stream/287929-mathlib4/topic/Mathlib.20weekly.20change.20report)
---
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|
awaiting-author
CI
t-meta
|
338/0 |
.github/workflows/mathlib_stats.yaml,.github/workflows/mathlib_stats_label.yaml,scripts/count_decls.lean,scripts/mathlib_stats.sh |
4 |
10 |
['adomani', 'github-actions', 'grunweg', 'kim-em', 'kmill'] |
nobody |
428-46128 1 year ago |
702-64008 702 days ago |
57-4374 57 days |
| 5952 |
eric-wieser author:eric-wieser |
feat: add Qq wrappers for ToExpr |
---
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- [ ] depends on: #6699 (to appease the linter)
[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-CI
t-meta
|
247/150 |
Mathlib/Data/Fin/Basic.lean,Mathlib/Data/Fin/VecNotation.lean,Mathlib/Data/Matrix/Notation.lean,Mathlib/Tactic/DeriveToExpr.lean,Mathlib/Tactic/FBinop.lean,Mathlib/Tactic/ToExpr.lean,Mathlib/Util/Qq.lean,test/DeriveToExpr.lean,test/vec_notation.lean |
9 |
7 |
['eric-wieser', 'gebner', 'grunweg', 'leanprover-community-mathlib4-bot'] |
nobody |
428-45996 1 year ago |
1035-2859 1035 days ago |
29-67421 29 days |
| 15483 |
FR-vdash-bot author:FR-vdash-bot |
chore(GroupTheory/Coset): reduce defeq abuse |
---
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- [x] depends on: #15482
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebra
label:t-algebra$ |
114/60 |
Mathlib/GroupTheory/Commensurable.lean,Mathlib/GroupTheory/Coset.lean,Mathlib/GroupTheory/QuotientGroup.lean,Mathlib/LinearAlgebra/Alternating/DomCoprod.lean,Mathlib/MeasureTheory/Measure/Haar/Quotient.lean,Mathlib/Topology/Algebra/Group/Compact.lean |
6 |
14 |
['astrainfinita', 'eric-wieser', 'github-actions', 'grunweg', 'leanprover-bot', 'leanprover-community-mathlib4-bot', 'mattrobball', 'mergify', 'urkud'] |
nobody |
428-45956 1 year ago |
676-84286 676 days ago |
4-79214 4 days |
| 16594 |
FR-vdash-bot author:FR-vdash-bot |
perf: reorder `extends` and remove some instances in algebra hierarchy |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
slow-typeclass-synthesis
t-algebra
label:t-algebra$ |
240/92 |
Mathlib.lean,Mathlib/Algebra/Algebra/Hom.lean,Mathlib/Algebra/Associated/Basic.lean,Mathlib/Algebra/BigOperators/Ring/List.lean,Mathlib/Algebra/Field/Defs.lean,Mathlib/Algebra/GCDMonoid/Basic.lean,Mathlib/Algebra/Group/Defs.lean,Mathlib/Algebra/Group/Ext.lean,Mathlib/Algebra/Group/Opposite.lean,Mathlib/Algebra/Group/Prod.lean,Mathlib/Algebra/GroupWithZero/Defs.lean,Mathlib/Algebra/GroupWithZero/Prod.lean,Mathlib/Algebra/Homology/Embedding/Basic.lean,Mathlib/Algebra/Order/AddGroupWithTop.lean,Mathlib/Algebra/Order/Field/Canonical/Defs.lean,Mathlib/Algebra/Order/Field/Defs.lean,Mathlib/Algebra/Order/Group/Unbundled/Abs.lean,Mathlib/Algebra/Order/GroupWithZero/Canonical.lean,Mathlib/Algebra/Order/Ring/Canonical.lean,Mathlib/Algebra/Order/Ring/Defs.lean,Mathlib/Algebra/Polynomial/Roots.lean,Mathlib/Algebra/Quaternion.lean,Mathlib/Algebra/Ring/Defs.lean,Mathlib/Algebra/Ring/Ext.lean,Mathlib/Algebra/Ring/InjSurj.lean,Mathlib/Algebra/Ring/Rat.lean,Mathlib/Algebra/Ring/SumsOfSquares.lean,Mathlib/Algebra/Tropical/Basic.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Order.lean,Mathlib/Analysis/InnerProductSpace/Symmetric.lean,Mathlib/CategoryTheory/Preadditive/FunctorCategory.lean,Mathlib/Data/Finset/NoncommProd.lean,Mathlib/Data/Int/Cast/Defs.lean,Mathlib/FieldTheory/IsAlgClosed/AlgebraicClosure.lean,Mathlib/FieldTheory/SplittingField/Construction.lean,Mathlib/GroupTheory/Congruence/Basic.lean,Mathlib/GroupTheory/MonoidLocalization/MonoidWithZero.lean,Mathlib/GroupTheory/Torsion.lean,Mathlib/LinearAlgebra/LinearPMap.lean,Mathlib/LinearAlgebra/TensorProduct/Basic.lean,Mathlib/Order/Filter/Germ/Basic.lean,Mathlib/Order/Interval/Finset/Box.lean,Mathlib/RingTheory/Bialgebra/Hom.lean,Mathlib/RingTheory/Coalgebra/Hom.lean,Mathlib/RingTheory/Ideal/Quotient.lean,Mathlib/RingTheory/Perfection.lean,Mathlib/RingTheory/TensorProduct/Basic.lean,Mathlib/RingTheory/TensorProduct/MvPolynomial.lean,Mathlib/Util/NoInstances.lean,scripts/noshake.json |
50 |
8 |
['astrainfinita', 'github-actions', 'grunweg', 'leanprover-bot'] |
nobody |
428-45732 1 year ago |
632-85279 632 days ago |
14-58900 14 days |
| 24106 |
FR-vdash-bot author:FR-vdash-bot |
refactor: unbundle algebra from `*CStarAlgebra` |
---
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- [ ] depends on: #24058
|
t-algebra
blocked-by-other-PR
merge-conflict
slow-typeclass-synthesis
t-analysis
label:t-algebra$ |
4702/4459 |
Archive/Hairer.lean,Archive/Imo/Imo1998Q2.lean,Counterexamples/LinearOrderWithPosMulPosEqZero.lean,Mathlib/Algebra/Algebra/RestrictScalars.lean,Mathlib/Algebra/Module/ZLattice/Basic.lean,Mathlib/Algebra/Module/ZLattice/Covolume.lean,Mathlib/Algebra/Order/Field/Canonical.lean,Mathlib/Algebra/Order/Field/Rat.lean,Mathlib/Algebra/Order/Floor/Ring.lean,Mathlib/Algebra/Order/GroupWithZero/Canonical.lean,Mathlib/Algebra/Order/GroupWithZero/Finset.lean,Mathlib/Algebra/Order/Hom/Monoid.lean,Mathlib/Algebra/Order/Nonneg/Field.lean,Mathlib/Algebra/Order/Nonneg/Ring.lean,Mathlib/Algebra/Order/Ring/Nat.lean,Mathlib/Analysis/Analytic/Basic.lean,Mathlib/Analysis/Analytic/CPolynomial.lean,Mathlib/Analysis/Analytic/CPolynomialDef.lean,Mathlib/Analysis/Analytic/ChangeOrigin.lean,Mathlib/Analysis/Analytic/Composition.lean,Mathlib/Analysis/Analytic/Constructions.lean,Mathlib/Analysis/Analytic/Inverse.lean,Mathlib/Analysis/Analytic/IsolatedZeros.lean,Mathlib/Analysis/Analytic/IteratedFDeriv.lean,Mathlib/Analysis/Analytic/Linear.lean,Mathlib/Analysis/Analytic/OfScalars.lean,Mathlib/Analysis/Analytic/Order.lean,Mathlib/Analysis/Analytic/Polynomial.lean,Mathlib/Analysis/Analytic/RadiusLiminf.lean,Mathlib/Analysis/Analytic/Uniqueness.lean,Mathlib/Analysis/Analytic/Within.lean,Mathlib/Analysis/Asymptotics/AsymptoticEquivalent.lean,Mathlib/Analysis/Asymptotics/Defs.lean,Mathlib/Analysis/Asymptotics/Lemmas.lean,Mathlib/Analysis/Asymptotics/SpecificAsymptotics.lean,Mathlib/Analysis/Asymptotics/SuperpolynomialDecay.lean,Mathlib/Analysis/Asymptotics/TVS.lean,Mathlib/Analysis/Asymptotics/Theta.lean,Mathlib/Analysis/BoundedVariation.lean,Mathlib/Analysis/BoxIntegral/Basic.lean,Mathlib/Analysis/BoxIntegral/DivergenceTheorem.lean,Mathlib/Analysis/BoxIntegral/Integrability.lean,Mathlib/Analysis/BoxIntegral/Partition/Additive.lean,Mathlib/Analysis/BoxIntegral/Partition/Measure.lean,Mathlib/Analysis/CStarAlgebra/ApproximateUnit.lean,Mathlib/Analysis/CStarAlgebra/Basic.lean,Mathlib/Analysis/CStarAlgebra/CStarMatrix.lean,Mathlib/Analysis/CStarAlgebra/Classes.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Basic.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Instances.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Integral.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Isometric.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Order.lean,Mathlib/Analysis/CStarAlgebra/ContinuousLinearMap.lean,Mathlib/Analysis/CStarAlgebra/ContinuousMap.lean,Mathlib/Analysis/CStarAlgebra/Exponential.lean,Mathlib/Analysis/CStarAlgebra/GelfandDuality.lean,Mathlib/Analysis/CStarAlgebra/Hom.lean,Mathlib/Analysis/CStarAlgebra/Matrix.lean,Mathlib/Analysis/CStarAlgebra/Module/Constructions.lean,Mathlib/Analysis/CStarAlgebra/Module/Defs.lean,Mathlib/Analysis/CStarAlgebra/Multiplier.lean,Mathlib/Analysis/CStarAlgebra/PositiveLinearMap.lean,Mathlib/Analysis/CStarAlgebra/SpecialFunctions/PosPart.lean,Mathlib/Analysis/CStarAlgebra/Spectrum.lean,Mathlib/Analysis/CStarAlgebra/Unitization.lean,Mathlib/Analysis/CStarAlgebra/lpSpace.lean,Mathlib/Analysis/Calculus/AddTorsor/AffineMap.lean,Mathlib/Analysis/Calculus/AddTorsor/Coord.lean,Mathlib/Analysis/Calculus/BumpFunction/Basic.lean,Mathlib/Analysis/Calculus/BumpFunction/Convolution.lean,Mathlib/Analysis/Calculus/BumpFunction/FiniteDimension.lean,Mathlib/Analysis/Calculus/BumpFunction/InnerProduct.lean,Mathlib/Analysis/Calculus/BumpFunction/Normed.lean,Mathlib/Analysis/Calculus/Conformal/InnerProduct.lean,Mathlib/Analysis/Calculus/Conformal/NormedSpace.lean,Mathlib/Analysis/Calculus/ContDiff/Basic.lean,Mathlib/Analysis/Calculus/ContDiff/Bounds.lean,Mathlib/Analysis/Calculus/ContDiff/CPolynomial.lean,Mathlib/Analysis/Calculus/ContDiff/Defs.lean,Mathlib/Analysis/Calculus/ContDiff/FTaylorSeries.lean,Mathlib/Analysis/Calculus/ContDiff/FaaDiBruno.lean,Mathlib/Analysis/Calculus/ContDiff/FiniteDimension.lean,Mathlib/Analysis/Calculus/ContDiff/Operations.lean,Mathlib/Analysis/Calculus/ContDiff/RCLike.lean,Mathlib/Analysis/Calculus/ContDiff/WithLp.lean,Mathlib/Analysis/Calculus/DSlope.lean,Mathlib/Analysis/Calculus/Deriv/Abs.lean,Mathlib/Analysis/Calculus/Deriv/Add.lean,Mathlib/Analysis/Calculus/Deriv/AffineMap.lean,Mathlib/Analysis/Calculus/Deriv/Basic.lean,Mathlib/Analysis/Calculus/Deriv/Comp.lean,Mathlib/Analysis/Calculus/Deriv/Inv.lean,Mathlib/Analysis/Calculus/Deriv/Inverse.lean,Mathlib/Analysis/Calculus/Deriv/Linear.lean,Mathlib/Analysis/Calculus/Deriv/Mul.lean,Mathlib/Analysis/Calculus/Deriv/Pi.lean,Mathlib/Analysis/Calculus/Deriv/Polynomial.lean,Mathlib/Analysis/Calculus/Deriv/Pow.lean,Mathlib/Analysis/Calculus/Deriv/Prod.lean |
670 |
5 |
['astrainfinita', 'github-actions', 'leanprover-bot', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot'] |
nobody |
428-17462 1 year ago |
unknown |
0-0 0 seconds |
| 13780 |
adomani author:adomani |
deprecate injective |
---
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merge-conflict |
31/9 |
.github/workflows/bors.yml,.github/workflows/build.yml,.github/workflows/build.yml.in,.github/workflows/build_fork.yml,Mathlib/Init/Function.lean,lake-manifest.json,lakefile.lean |
7 |
2 |
['github-actions', 'grunweg'] |
nobody |
428-13246 1 year ago |
unknown |
0-0 0 seconds |
| 19467 |
quangvdao author:quangvdao |
feat(MvPolynomial/Equiv): Add `MvPolynomial.finSuccEquivNth` |
This PR adds `MvPolynomial.finSuccEquivNth`, which is the algebra isomorphism between `MvPolynomial (Fin (n + 1)) R` and `Polynomial (MvPolynomial (Fin n) R)` by identifying the `p`-th variable as the indeterminate.
This generalizes `MvPolynomial.finSuccEquiv` which is only for the `0`-th variable. The supporting theorems for the `Nth` version are identical to the current version, with the `Nth` version deduced from the former.
These changes require new definitions in `Finsupp/Fin`, which is a separate PR.
Co-authored-by: Yaël Dillies <yael.dillies@gmail.com>---
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- [ ] depends on: #19315
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|
merge-conflict
t-algebra
blocked-by-other-PR
label:t-algebra$ |
541/163 |
Mathlib/Algebra/BigOperators/Fin.lean,Mathlib/Algebra/BigOperators/Finsupp.lean,Mathlib/Algebra/MvPolynomial/Equiv.lean,Mathlib/Data/Fin/Basic.lean,Mathlib/Data/Fin/Tuple/Basic.lean,Mathlib/Data/Finsupp/Fin.lean,scripts/nolints_prime_decls.txt |
7 |
9 |
['acmepjz', 'github-actions', 'grunweg', 'mathlib4-dependent-issues-bot', 'quangvdao'] |
nobody |
426-50072 1 year ago |
569-70038 569 days ago |
0-790 13 minutes |
| 20313 |
thefundamentaltheor3m author:thefundamentaltheor3m |
feat(Data/Complex/Exponential): prove some useful results about the complex exponential. |
This PR proves two basic results about the complex exponential:
* `abs_exp_mul_I (x : ℂ) : abs (Complex.exp (I * x)) = Real.exp (-x.im)`
* `one_sub_rexp_re_le_abs_one_sub_cexp (x : ℂ) : 1 - Real.exp x.re ≤ Complex.abs (1 - Complex.exp x)`
Both results were proved as part of the sphere packing project. There's a chance they're too specific for mathlib, but I thought they were worth PRing anyway. Would it also be a good idea to tag `abs_exp_mul_I` with `simp`? Feedback/suggestions welcome.
Note: `one_sub_rexp_re_le_abs_one_sub_cexp` was proved by Bhavik Mehta @b-mehta
---
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|
merge-conflict
t-analysis
new-contributor
|
167/141 |
Mathlib.lean,Mathlib/Analysis/Complex/Basic.lean,Mathlib/Analysis/SpecialFunctions/Log/ERealExp.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Chebyshev.lean,Mathlib/Data/Complex/Exponential/Defs.lean,Mathlib/Data/Complex/Exponential/Lemmas.lean,Mathlib/Data/Complex/ExponentialBounds.lean,Mathlib/Tactic/FunProp.lean,MathlibTest/Recall.lean,MathlibTest/positivity.lean |
10 |
12 |
['b-mehta', 'github-actions', 'kim-em', 'thefundamentaltheor3m', 'trivial1711'] |
nobody |
426-50025 1 year ago |
509-61272 509 days ago |
8-42257 8 days |
| 22698 |
Kiolt author:Kiolt |
feat: notation for whisker(Left/Right)Iso |
From Toric
---
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|
merge-conflict
t-category-theory
toric
|
175/113 |
Mathlib/Algebra/Homology/Monoidal.lean,Mathlib/CategoryTheory/Bicategory/Adjunction/Basic.lean,Mathlib/CategoryTheory/Bicategory/Basic.lean,Mathlib/CategoryTheory/Bicategory/Coherence.lean,Mathlib/CategoryTheory/Bicategory/Extension.lean,Mathlib/CategoryTheory/Bicategory/Functor/Pseudofunctor.lean,Mathlib/CategoryTheory/Bicategory/NaturalTransformation/Strong.lean,Mathlib/CategoryTheory/Bicategory/SingleObj.lean,Mathlib/CategoryTheory/Closed/Functor.lean,Mathlib/CategoryTheory/Closed/Ideal.lean,Mathlib/CategoryTheory/Enriched/FunctorCategory.lean,Mathlib/CategoryTheory/GradedObject/Monoidal.lean,Mathlib/CategoryTheory/Monoidal/Braided/Basic.lean,Mathlib/CategoryTheory/Monoidal/Braided/Reflection.lean,Mathlib/CategoryTheory/Monoidal/Category.lean,Mathlib/CategoryTheory/Monoidal/Center.lean,Mathlib/CategoryTheory/Monoidal/Free/Coherence.lean,Mathlib/CategoryTheory/Monoidal/Preadditive.lean,Mathlib/CategoryTheory/Monoidal/Transport.lean,Mathlib/Tactic/CategoryTheory/BicategoricalComp.lean,Mathlib/Tactic/CategoryTheory/Bicategory/Datatypes.lean,Mathlib/Tactic/CategoryTheory/Bicategory/Normalize.lean,Mathlib/Tactic/CategoryTheory/Bicategory/PureCoherence.lean,Mathlib/Tactic/CategoryTheory/Monoidal/Datatypes.lean,Mathlib/Tactic/CategoryTheory/Monoidal/Normalize.lean,Mathlib/Tactic/CategoryTheory/Monoidal/PureCoherence.lean,Mathlib/Tactic/CategoryTheory/MonoidalComp.lean |
27 |
21 |
['Kiolt', 'YaelDillies', 'b-mehta', 'github-actions', 'leanprover-bot'] |
nobody |
426-49854 1 year ago |
462-69211 462 days ago |
3-29299 3 days |
| 20730 |
kuotsanhsu author:kuotsanhsu |
feat(LinearAlgebra/Matrix/SchurTriangulation): prove Schur decomposition/triangulation |
`Matrix.schur_triangulation` shows that a matrix over an algebraically closed field is unitarily similar to an upper triangular matrix
---
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|
merge-conflict
awaiting-author
t-algebra
new-contributor
label:t-algebra$ |
317/2 |
Mathlib.lean,Mathlib/LinearAlgebra/Matrix/Block.lean,Mathlib/LinearAlgebra/Matrix/SchurTriangulation.lean,Mathlib/Logic/Equiv/Basic.lean |
4 |
14 |
['eric-wieser', 'github-actions', 'kim-em', 'kuotsanhsu'] |
nobody |
426-46157 1 year ago |
506-37130 506 days ago |
13-56244 13 days |
| 19117 |
eric-wieser author:eric-wieser |
feat: derivatives of matrix operations |
These are finally possible to state after #19108.
However, a lot of bundled `ContinuousLinearMap`s are missing.
---
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|
merge-conflict
WIP
t-analysis
|
336/22 |
Mathlib.lean,Mathlib/Analysis/Calculus/Deriv/Matrix.lean,Mathlib/Analysis/Calculus/FDeriv/Basic.lean,Mathlib/Analysis/Calculus/FDeriv/Matrix.lean |
4 |
3 |
['github-actions', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot'] |
nobody |
424-68535 1 year ago |
unknown |
0-0 0 seconds |
| 12605 |
FR-vdash-bot author:FR-vdash-bot |
chore: attribute [induction_eliminator] |
Add attribute [induction_eliminator] to
`AdjoinRoot.induction_on`
`ENat.recTopCoe`
`ENNReal.recTopCoe`
`Finset.induction`
`Magma.AssocQuotient.induction_on`
`ManyOneDegree.ind_on`
`Module.Ray.ind` (and add `Orientation.ind` for `Orientation`, an abbrev of it. I wish that we do not need to add it in the future.)
`Multiset.induction`
`MvPolynomial.induction_on`
`OnePoint.rec`
`Opposite.rec'`
`Ordinal.limitRecOn`
`PartENat.casesOn`
`Polynomial.induction_on'`
`QuotientAddGroup.induction_on'` (and add `AddCircle.induction_on` for `AddCircle`, an abbrev of it. I wish that we do not need to add it in the future.)
`QuotientGroup.induction_on'` (doesn't actually work)
`Real.Angle.induction_on`
`SimplexCategory.rec`
`Trunc.induction_on`
---
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- [x] depends on: #13264
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|
merge-conflict
awaiting-author
|
354/342 |
Mathlib/Algebra/BigOperators/Associated.lean,Mathlib/Algebra/BigOperators/Group/Finset.lean,Mathlib/Algebra/BigOperators/Group/Multiset.lean,Mathlib/Algebra/BigOperators/Ring.lean,Mathlib/Algebra/GCDMonoid/Finset.lean,Mathlib/Algebra/GCDMonoid/Multiset.lean,Mathlib/Algebra/Group/Subgroup/Finite.lean,Mathlib/Algebra/GroupWithZero/WithZero.lean,Mathlib/Algebra/Lie/Submodule.lean,Mathlib/Algebra/Lie/Weights/Basic.lean,Mathlib/Algebra/Module/BigOperators.lean,Mathlib/Algebra/MvPolynomial/Basic.lean,Mathlib/Algebra/MvPolynomial/Derivation.lean,Mathlib/Algebra/MvPolynomial/Variables.lean,Mathlib/Algebra/Order/ToIntervalMod.lean,Mathlib/Algebra/Polynomial/BigOperators.lean,Mathlib/Algebra/Polynomial/Degree/Lemmas.lean,Mathlib/Algebra/Polynomial/Derivative.lean,Mathlib/Algebra/Polynomial/Eval.lean,Mathlib/Algebra/Polynomial/Induction.lean,Mathlib/Algebra/Polynomial/Module/Basic.lean,Mathlib/Algebra/Polynomial/PartialFractions.lean,Mathlib/Algebra/Polynomial/Smeval.lean,Mathlib/Algebra/Tropical/BigOperators.lean,Mathlib/AlgebraicTopology/DoldKan/NCompGamma.lean,Mathlib/AlgebraicTopology/SimplexCategory.lean,Mathlib/AlgebraicTopology/SplitSimplicialObject.lean,Mathlib/Analysis/Analytic/Constructions.lean,Mathlib/Analysis/Asymptotics/Asymptotics.lean,Mathlib/Analysis/BoxIntegral/Basic.lean,Mathlib/Analysis/BoxIntegral/Partition/Additive.lean,Mathlib/Analysis/BoxIntegral/Partition/Split.lean,Mathlib/Analysis/Calculus/ContDiff/Basic.lean,Mathlib/Analysis/Calculus/ContDiff/Bounds.lean,Mathlib/Analysis/Calculus/Deriv/Polynomial.lean,Mathlib/Analysis/Convex/Combination.lean,Mathlib/Analysis/Convex/Exposed.lean,Mathlib/Analysis/Fourier/AddCircle.lean,Mathlib/Analysis/NormedSpace/Exponential.lean,Mathlib/Analysis/NormedSpace/Multilinear/Basic.lean,Mathlib/Analysis/SpecialFunctions/Complex/Arg.lean,Mathlib/Analysis/SpecialFunctions/Complex/Circle.lean,Mathlib/Analysis/SpecialFunctions/Log/Base.lean,Mathlib/Analysis/SpecialFunctions/PolynomialExp.lean,Mathlib/Analysis/SpecialFunctions/Pow/NNReal.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Angle.lean,Mathlib/CategoryTheory/Filtered/Basic.lean,Mathlib/CategoryTheory/Subobject/Lattice.lean,Mathlib/Combinatorics/Additive/PluenneckeRuzsa.lean,Mathlib/Combinatorics/SetFamily/Compression/Down.lean,Mathlib/Combinatorics/SetFamily/FourFunctions.lean,Mathlib/Combinatorics/SetFamily/HarrisKleitman.lean,Mathlib/Computability/Reduce.lean,Mathlib/Data/DFinsupp/Basic.lean,Mathlib/Data/DFinsupp/WellFounded.lean,Mathlib/Data/Finset/Basic.lean,Mathlib/Data/Finset/Fold.lean,Mathlib/Data/Finset/Lattice.lean,Mathlib/Data/Finset/NAry.lean,Mathlib/Data/Fintype/Sum.lean,Mathlib/Data/Multiset/Antidiagonal.lean,Mathlib/Data/Multiset/Basic.lean,Mathlib/Data/Multiset/Bind.lean,Mathlib/Data/Multiset/Fold.lean,Mathlib/Data/Multiset/Lattice.lean,Mathlib/Data/Multiset/Pi.lean,Mathlib/Data/Multiset/Powerset.lean,Mathlib/Data/Multiset/Sections.lean,Mathlib/Data/Nat/Choose/Multinomial.lean,Mathlib/Data/Nat/PartENat.lean,Mathlib/Data/Quot.lean,Mathlib/Data/Set/Pointwise/BigOperators.lean,Mathlib/FieldTheory/IntermediateField.lean,Mathlib/FieldTheory/IsAlgClosed/AlgebraicClosure.lean,Mathlib/Geometry/Manifold/Algebra/Monoid.lean,Mathlib/Geometry/RingedSpace/Basic.lean,Mathlib/Geometry/RingedSpace/OpenImmersion.lean,Mathlib/Geometry/RingedSpace/PresheafedSpace/Gluing.lean,Mathlib/GroupTheory/Coset.lean,Mathlib/GroupTheory/NoncommPiCoprod.lean,Mathlib/GroupTheory/Perm/Cycle/Type.lean,Mathlib/LinearAlgebra/Determinant.lean,Mathlib/LinearAlgebra/Eigenspace/Basic.lean,Mathlib/LinearAlgebra/FiniteDimensional.lean,Mathlib/LinearAlgebra/LinearIndependent.lean,Mathlib/LinearAlgebra/Matrix/Determinant/Basic.lean,Mathlib/LinearAlgebra/Multilinear/Basic.lean,Mathlib/LinearAlgebra/Orientation.lean,Mathlib/LinearAlgebra/Projectivization/Basic.lean,Mathlib/LinearAlgebra/Ray.lean,Mathlib/LinearAlgebra/TensorProduct/Basic.lean,Mathlib/Logic/Hydra.lean,Mathlib/MeasureTheory/Function/ConditionalExpectation/Basic.lean,Mathlib/MeasureTheory/Function/L1Space.lean,Mathlib/MeasureTheory/Function/SimpleFunc.lean,Mathlib/MeasureTheory/Integral/Lebesgue.lean,Mathlib/MeasureTheory/Integral/Marginal.lean,Mathlib/MeasureTheory/Integral/MeanInequalities.lean,Mathlib/MeasureTheory/Integral/SetIntegral.lean,Mathlib/MeasureTheory/Measure/AddContent.lean |
140 |
14 |
['YaelDillies', 'astrainfinita', 'eric-wieser', 'github-actions', 'leanprover-community-mathlib4-bot', 'urkud'] |
nobody |
424-63150 1 year ago |
757-8321 757 days ago |
4-46495 4 days |
| 23859 |
urkud author:urkud |
feat(Topology/../Order/Field): generalize to `Semifield` |
.. from a linear ordered field to a linear ordered semifield---
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- [ ] depends on: #23857
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-topology
|
245/219 |
Mathlib/Algebra/Order/Group/Pointwise/Interval.lean,Mathlib/Analysis/BoxIntegral/Box/SubboxInduction.lean,Mathlib/Topology/Algebra/Order/Field.lean,Mathlib/Topology/Order/Basic.lean |
4 |
3 |
['github-actions', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot'] |
nobody |
422-2573 1 year ago |
435-13214 435 days ago |
0-265 4 minutes |
| 24219 |
Paul-Lez author:Paul-Lez |
feat: linear independence of the tensor product of two linearly independent families |
This is still WIP (the proofs are a little too long, and some lemmas need to be moved to other files!)
From Toric
---
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WIP
t-algebra
toric
label:t-algebra$ |
193/0 |
Mathlib/LinearAlgebra/LinearIndependent/Tprod.lean |
1 |
1 |
['github-actions'] |
nobody |
421-68405 1 year ago |
423-83306 423 days ago |
0-2221 37 minutes |
| 23810 |
b-reinke author:b-reinke |
chore(Order/Interval): generalize succ/pred lemmas to partial orders |
Many lemmas in `Mathlib/Order/Interval/Set/SuccPred.lean`and `Mathlib/Order/Interval/Finset/SuccPred.lean` also work for partial orders. They are generalized in this PR by introducing different sections for `PartialOrder` and `LinearOrder` assumptions in the respective files.
---
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|
merge-conflict
t-order
|
231/89 |
Mathlib/Order/Interval/Finset/SuccPred.lean,Mathlib/Order/Interval/Set/SuccPred.lean |
2 |
2 |
['github-actions', 'leanprover-community-bot-assistant'] |
nobody |
419-65748 1 year ago |
419-65750 419 days ago |
16-29623 16 days |
| 24285 |
madvorak author:madvorak |
chore(Algebra/*-{Category,Homology}): remove unnecessary universe variables |
Discussions:
https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Call.20for.20help.3A.20technical.2F.20organisational.20debt/with/513620128
https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Algebra.20and.20.60Type*.60/with/513558902
https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Task.2026.3A.20Replace.20Type.20u.20by.20Type*.20wherever.20possible/with/513592993
---
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|
merge-conflict
t-algebra
label:t-algebra$ |
542/916 |
Mathlib/Algebra/AddTorsor/Basic.lean,Mathlib/Algebra/Algebra/Defs.lean,Mathlib/Algebra/Algebra/Equiv.lean,Mathlib/Algebra/Algebra/Field.lean,Mathlib/Algebra/Algebra/Hom.lean,Mathlib/Algebra/Algebra/Operations.lean,Mathlib/Algebra/Algebra/Spectrum/Basic.lean,Mathlib/Algebra/Algebra/Subalgebra/Lattice.lean,Mathlib/Algebra/Algebra/Subalgebra/Tower.lean,Mathlib/Algebra/Algebra/Tower.lean,Mathlib/Algebra/Central/Basic.lean,Mathlib/Algebra/Central/Defs.lean,Mathlib/Algebra/Central/TensorProduct.lean,Mathlib/Algebra/CharP/Pi.lean,Mathlib/Algebra/CharP/Quotient.lean,Mathlib/Algebra/CharP/Subring.lean,Mathlib/Algebra/DirectSum/Algebra.lean,Mathlib/Algebra/DirectSum/Basic.lean,Mathlib/Algebra/DirectSum/Finsupp.lean,Mathlib/Algebra/DirectSum/Module.lean,Mathlib/Algebra/EuclideanDomain/Basic.lean,Mathlib/Algebra/EuclideanDomain/Defs.lean,Mathlib/Algebra/Field/Basic.lean,Mathlib/Algebra/Field/Defs.lean,Mathlib/Algebra/Field/IsField.lean,Mathlib/Algebra/Field/MinimalAxioms.lean,Mathlib/Algebra/Field/Subfield/Basic.lean,Mathlib/Algebra/Field/Subfield/Defs.lean,Mathlib/Algebra/FreeNonUnitalNonAssocAlgebra.lean,Mathlib/Algebra/Group/Conj.lean,Mathlib/Algebra/Group/Defs.lean,Mathlib/Algebra/Group/Equiv/Finite.lean,Mathlib/Algebra/Group/Ext.lean,Mathlib/Algebra/Group/Hom/End.lean,Mathlib/Algebra/Group/Hom/Instances.lean,Mathlib/Algebra/Group/Invertible/Basic.lean,Mathlib/Algebra/Group/Invertible/Defs.lean,Mathlib/Algebra/Group/Pi/Basic.lean,Mathlib/Algebra/Group/Pi/Lemmas.lean,Mathlib/Algebra/Group/TypeTags/Basic.lean,Mathlib/Algebra/Group/TypeTags/Finite.lean,Mathlib/Algebra/Group/TypeTags/Hom.lean,Mathlib/Algebra/Group/Units/Basic.lean,Mathlib/Algebra/Group/Units/Defs.lean,Mathlib/Algebra/Group/Units/Hom.lean,Mathlib/Algebra/Group/WithOne/Basic.lean,Mathlib/Algebra/Group/WithOne/Defs.lean,Mathlib/Algebra/GroupWithZero/Action/Pi.lean,Mathlib/Algebra/GroupWithZero/Defs.lean,Mathlib/Algebra/GroupWithZero/Invertible.lean,Mathlib/Algebra/GroupWithZero/NeZero.lean,Mathlib/Algebra/Lie/Abelian.lean,Mathlib/Algebra/Lie/Basic.lean,Mathlib/Algebra/Lie/CartanMatrix.lean,Mathlib/Algebra/Lie/CartanSubalgebra.lean,Mathlib/Algebra/Lie/Character.lean,Mathlib/Algebra/Lie/Classical.lean,Mathlib/Algebra/Lie/DirectSum.lean,Mathlib/Algebra/Lie/Free.lean,Mathlib/Algebra/Lie/Ideal.lean,Mathlib/Algebra/Lie/IdealOperations.lean,Mathlib/Algebra/Lie/Matrix.lean,Mathlib/Algebra/Lie/Nilpotent.lean,Mathlib/Algebra/Lie/NonUnitalNonAssocAlgebra.lean,Mathlib/Algebra/Lie/OfAssociative.lean,Mathlib/Algebra/Lie/Quotient.lean,Mathlib/Algebra/Lie/SkewAdjoint.lean,Mathlib/Algebra/Lie/Solvable.lean,Mathlib/Algebra/Lie/Subalgebra.lean,Mathlib/Algebra/Lie/Submodule.lean,Mathlib/Algebra/Lie/TensorProduct.lean,Mathlib/Algebra/Lie/UniversalEnveloping.lean,Mathlib/Algebra/Module/Basic.lean,Mathlib/Algebra/Module/CharacterModule.lean,Mathlib/Algebra/Module/DedekindDomain.lean,Mathlib/Algebra/Module/Defs.lean,Mathlib/Algebra/Module/End.lean,Mathlib/Algebra/Module/Equiv/Opposite.lean,Mathlib/Algebra/Module/Lattice.lean,Mathlib/Algebra/Module/LinearMap/Basic.lean,Mathlib/Algebra/Module/LinearMap/Defs.lean,Mathlib/Algebra/Module/LinearMap/End.lean,Mathlib/Algebra/Module/LocalizedModule/Basic.lean,Mathlib/Algebra/Module/MinimalAxioms.lean,Mathlib/Algebra/Module/NatInt.lean,Mathlib/Algebra/Module/Opposite.lean,Mathlib/Algebra/Module/Pi.lean,Mathlib/Algebra/Module/Presentation/Differentials.lean,Mathlib/Algebra/Module/Presentation/Tensor.lean,Mathlib/Algebra/Module/Rat.lean,Mathlib/Algebra/Module/RingHom.lean,Mathlib/Algebra/Module/Submodule/Basic.lean,Mathlib/Algebra/Module/Torsion.lean,Mathlib/Algebra/MonoidAlgebra/Basic.lean,Mathlib/Algebra/MonoidAlgebra/Defs.lean,Mathlib/Algebra/MonoidAlgebra/Support.lean,Mathlib/Algebra/MvPolynomial/Basic.lean,Mathlib/Algebra/MvPolynomial/CommRing.lean,Mathlib/Algebra/MvPolynomial/Degrees.lean,Mathlib/Algebra/MvPolynomial/Equiv.lean |
182 |
22 |
['erdOne', 'github-actions', 'leanprover-bot', 'leanprover-community-bot-assistant', 'madvorak', 'mattrobball'] |
nobody |
419-54445 1 year ago |
419-54446 419 days ago |
2-11655 2 days |
| 14931 |
eric-wieser author:eric-wieser |
feat: volume of a simplex |
---
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|
merge-conflict
t-euclidean-geometry
|
207/0 |
Mathlib/Geometry/Euclidean/Basic.lean,Mathlib/Geometry/Euclidean/Circumcenter.lean,Mathlib/Geometry/Euclidean/Volume.lean |
3 |
3 |
['eric-wieser', 'github-actions', 'leanprover-community-bot-assistant'] |
nobody |
417-66902 1 year ago |
unknown |
0-0 0 seconds |
| 22583 |
imathwy author:imathwy |
feat: affinespace homeomorphism |
There exists a homeomorphism (a continuous bijection with a continuous inverse) between an affine subspace s of a vector space V over a field 𝕜 and its direction s.direction , given a chosen point z ∈ s .
---
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|
merge-conflict
awaiting-author
t-algebra
label:t-algebra$ |
64/2 |
Mathlib/Analysis/Normed/Group/AddTorsor.lean,Mathlib/LinearAlgebra/AffineSpace/ContinuousAffineEquiv.lean,Mathlib/Topology/Algebra/ConstMulAction.lean,Mathlib/Topology/Algebra/MulAction.lean |
4 |
6 |
['JovanGerb', 'eric-wieser', 'github-actions', 'grunweg'] |
nobody |
417-64620 1 year ago |
469-76641 469 days ago |
0-18122 5 hours |
| 24243 |
Timeroot author:Timeroot |
feat(Analysis/Calculus/FDeriv): Fderiv on torsors |
Experiment to see how this goes for now, see [Zulip discussion](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Upgrade.20.60fderiv.60.20to.20.60AddTorsor.60)
---
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|
merge-conflict
t-analysis
|
539/447 |
Mathlib/Algebra/AddTorsor/Defs.lean,Mathlib/Analysis/Calculus/Deriv/Basic.lean,Mathlib/Analysis/Calculus/Deriv/Prod.lean,Mathlib/Analysis/Calculus/Deriv/Slope.lean,Mathlib/Analysis/Calculus/FDeriv/Add.lean,Mathlib/Analysis/Calculus/FDeriv/Basic.lean,Mathlib/Analysis/Calculus/FDeriv/Bilinear.lean,Mathlib/Analysis/Calculus/FDeriv/Equiv.lean,Mathlib/Analysis/Calculus/FDeriv/Linear.lean,Mathlib/Analysis/Calculus/FDeriv/Measurable.lean,Mathlib/Analysis/Calculus/FDeriv/Mul.lean,Mathlib/Analysis/Calculus/FDeriv/Symmetric.lean,Mathlib/Analysis/Calculus/Gradient/Basic.lean,Mathlib/Analysis/Calculus/LineDeriv/Basic.lean,Mathlib/Analysis/Calculus/LocalExtr/Basic.lean,Mathlib/Analysis/Calculus/ParametricIntegral.lean,Mathlib/Analysis/Calculus/Rademacher.lean,Mathlib/Analysis/Calculus/TangentCone.lean,Mathlib/Analysis/Calculus/UniformLimitsDeriv.lean,Mathlib/Analysis/Complex/Periodic.lean,Mathlib/Analysis/Complex/RealDeriv.lean,Mathlib/Analysis/MellinTransform.lean,Mathlib/Analysis/Normed/Group/Uniform.lean,Mathlib/Analysis/Normed/Module/Basic.lean,Mathlib/Analysis/SpecialFunctions/ExpDeriv.lean,Mathlib/Analysis/SpecialFunctions/Exponential.lean,Mathlib/Analysis/SpecialFunctions/Gamma/Deriv.lean,Mathlib/Analysis/SpecialFunctions/Pow/Deriv.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/EulerSineProd.lean,Mathlib/Geometry/Manifold/IntegralCurve/Transform.lean,Mathlib/Geometry/Manifold/IsManifold/Basic.lean,Mathlib/Geometry/Manifold/MFDeriv/Basic.lean,Mathlib/Geometry/Manifold/MFDeriv/SpecificFunctions.lean,Mathlib/NumberTheory/EulerProduct/ExpLog.lean,Mathlib/NumberTheory/Harmonic/GammaDeriv.lean,Mathlib/NumberTheory/LSeries/Nonvanishing.lean,MathlibTest/Recall.lean |
37 |
3 |
['github-actions', 'leanprover-community-bot-assistant'] |
nobody |
416-47758 1 year ago |
unknown |
0-0 0 seconds |
| 23593 |
erdOne author:erdOne |
feat(AlgebraicGeometry): the tilde construction is functorial |
---
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|
merge-conflict
awaiting-author
t-algebraic-geometry
|
95/38 |
Mathlib/AlgebraicGeometry/Modules/Sheaf.lean,Mathlib/AlgebraicGeometry/Modules/Tilde.lean |
2 |
4 |
['chrisflav', 'github-actions', 'leanprover-community-bot-assistant'] |
nobody |
415-81816 1 year ago |
440-84830 440 days ago |
0-71091 19 hours |
| 21065 |
eric-wieser author:eric-wieser |
feat: generalize `tangentConeAt.lim_zero` to TVS |
... and then adjust the `variable`s down the rest of the file to make use of the generality.
There are two key lemmas that this does not generalize, which would probably unlock the rest of the file:
* `subset_tangentCone_prod_left` (and `_right`)
* `zero_mem_tangentCone`
---
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- [ ] depends on: #20859
[](https://gitpod.io/from-referrer/)
|
merge-conflict
WIP
t-analysis
|
55/28 |
Mathlib/Analysis/Calculus/TangentCone.lean |
1 |
16 |
['ADedecker', 'eric-wieser', 'github-actions', 'j-loreaux', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot', 'urkud'] |
nobody |
415-74220 1 year ago |
483-23895 483 days ago |
23-20072 23 days |
| 22721 |
grunweg author:grunweg |
chore(MeasureTheory/Function/LpSeminorm/Basic): generalise more results to enorm classes |
Done for the Carleson project.
---
- depends on #22708
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|
merge-conflict
WIP
carleson
t-measure-probability
|
134/10 |
Mathlib/MeasureTheory/Function/LpSeminorm/Basic.lean |
1 |
2 |
['github-actions', 'leanprover-community-bot-assistant'] |
nobody |
414-66888 1 year ago |
466-53254 466 days ago |
0-6 6 seconds |
| 24549 |
grunweg author:grunweg |
feat: define embedded submanifolds, attempt 1 |
Not meant to be merged (I think a different design is better); opening this so I can find this more easily.
---
- [ ] depends on: #23040
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|
merge-conflict
WIP
t-differential-geometry
blocked-by-other-PR
|
1445/2 |
Mathlib.lean,Mathlib/Analysis/NormedSpace/HahnBanach/Splits.lean,Mathlib/Geometry/Manifold/Diffeomorph.lean,Mathlib/Geometry/Manifold/EmbeddedSubmanifold.lean,Mathlib/Geometry/Manifold/IsImmersionEmbedding.lean,Mathlib/Geometry/Manifold/LocalDiffeomorph.lean,Mathlib/Geometry/Manifold/MSplits.lean,Mathlib/LinearAlgebra/Prod.lean |
8 |
2 |
['leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot'] |
nobody |
411-10940 1 year ago |
411-80263 411 days ago |
0-1 1 second |
| 22809 |
b-reinke author:b-reinke |
feat: Category algebras and path algebras |
This PR defines the category algebra of a linear category and path algebras of quivers.
---
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[](https://gitpod.io/from-referrer/)
|
WIP
t-algebra
t-category-theory
new-contributor
label:t-algebra$ |
218/0 |
Mathlib/Algebra/Ring/Assoc.lean,Mathlib/CategoryTheory/Linear/CategoryAlgebra.lean,Mathlib/Combinatorics/Quiver/PathAlgebra.lean,Mathlib/Data/DFinsupp/BigOperators.lean |
4 |
2 |
['b-reinke', 'github-actions'] |
nobody |
411-10596 1 year ago |
unknown |
0-0 0 seconds |
| 21252 |
ADedecker author:ADedecker |
feat: redefine uniformly convex normed spaces with filters instead of epsilons |
And conceptualize some proofs.
---
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|
merge-conflict
t-topology
t-algebra
label:t-algebra$ |
301/87 |
Mathlib/Analysis/Convex/Uniform.lean,Mathlib/Analysis/InnerProductSpace/Basic.lean,Mathlib/Order/Basic.lean,Mathlib/Order/Filter/Pointwise.lean,Mathlib/Topology/Algebra/UniformGroup/Defs.lean,Mathlib/Topology/Algebra/UniformMulAction.lean |
6 |
1 |
['github-actions'] |
nobody |
411-10511 1 year ago |
unknown |
0-0 0 seconds |
| 19821 |
eric-wieser author:eric-wieser |
feat: add a Qq version of AtomM that groups by type |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
WIP
large-import
t-meta
|
332/30 |
Mathlib/Data/Ineq.lean,Mathlib/Tactic/Linarith/Datatypes.lean,Mathlib/Tactic/Linarith/Oracle/SimplexAlgorithm.lean,Mathlib/Tactic/Linarith/Preprocessing.lean,Mathlib/Util/AtomM.lean,Mathlib/Util/Qq.lean |
6 |
1 |
['github-actions'] |
nobody |
411-10324 1 year ago |
unknown |
0-0 0 seconds |
| 19120 |
hrmacbeth author:hrmacbeth |
feat: stop `ring`/`abel` from seeing algebraic operations inside `let`s |
This draft PR illustrates a feature I would like to see in core: a variant of `whnf` which allows particular kinds of reduction, such as zeta-delta reduction, to be turned off. Here it is used to make ring-normalization and abelian-group-normalization a bit more responsive to what (I think) users expect: these normalizations would no longer look inside user-defined lets to see algebraic operations in those expressions.
Note: In Lean/Mathlib 3, `ring` matched for algebraic operations on an algebraic expression `e` itself, not on `← whnfR e`. So mathlib3 `ring` didn't see algebraic operations inside `let`s -- but it also didn't see algebraic operations requiring beta-reduction (like `(fun t ↦ t + 1) x`) or see inside abbreviations.
[Zulip](https://leanprover.zulipchat.com/#narrow/channel/239415-metaprogramming-.2F-tactics/topic/whnf.20variant.20which.20preserves.20let-bindings)
Update: fortuitously, it looks like the new core PR https://github.com/leanprover/lean4/pull/6053 will provide this feature!
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
blocked-by-core-PR
t-meta
|
137/15 |
Archive/Imo/Imo2006Q3.lean,Archive/Imo/Imo2008Q2.lean,Mathlib.lean,Mathlib/Algebra/ContinuedFractions/Computation/Approximations.lean,Mathlib/Analysis/Analytic/Composition.lean,Mathlib/Analysis/Calculus/FDeriv/Measurable.lean,Mathlib/Analysis/SpecialFunctions/Gamma/BohrMollerup.lean,Mathlib/Analysis/SpecialFunctions/Integrals.lean,Mathlib/Analysis/SpecialFunctions/Stirling.lean,Mathlib/Data/Real/Pi/Irrational.lean,Mathlib/NumberTheory/LSeries/HurwitzZetaOdd.lean,Mathlib/NumberTheory/SumPrimeReciprocals.lean,Mathlib/RingTheory/WittVector/DiscreteValuationRing.lean,Mathlib/Tactic/Abel.lean,Mathlib/Tactic/Polyrith.lean,Mathlib/Tactic/Ring/Basic.lean,Mathlib/Tactic/Ring/RingNF.lean,Mathlib/Topology/MetricSpace/GromovHausdorff.lean,Mathlib/Util/WHNF.lean,MathlibTest/abel.lean,MathlibTest/ring.lean |
21 |
5 |
['JovanGerb', 'github-actions', 'grunweg', 'hrmacbeth'] |
nobody |
411-10304 1 year ago |
unknown |
0-0 0 seconds |
| 17069 |
yuma-mizuno author:yuma-mizuno |
chore(CategoryTheory/Functor/Basic): put `simp` at `Functor.id_comp` |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-category-theory
|
41/30 |
Mathlib/CategoryTheory/Adjunction/Mates.lean,Mathlib/CategoryTheory/Functor/Basic.lean,Mathlib/CategoryTheory/GuitartExact/VerticalComposition.lean,Mathlib/CategoryTheory/Limits/HasLimits.lean,Mathlib/CategoryTheory/Shift/CommShift.lean |
5 |
3 |
['github-actions', 'leanprover-bot', 'yuma-mizuno'] |
nobody |
411-10294 1 year ago |
unknown |
0-0 0 seconds |
| 14803 |
StevenClontz author:StevenClontz |
chore: use `Disjoint` nhd filters for all separation axioms |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-topology
|
157/122 |
Mathlib/Topology/Separation.lean |
1 |
1 |
['github-actions'] |
nobody |
411-10278 1 year ago |
unknown |
0-0 0 seconds |
| 14675 |
adomani author:adomani |
dev: the repeated variable linter |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
WIP
t-linter
|
71/0 |
Mathlib/Tactic/Linter/Lint.lean |
1 |
1 |
['github-actions'] |
nobody |
411-10273 1 year ago |
705-83227 705 days ago |
0-8 8 seconds |
| 14330 |
Ruben-VandeVelde author:Ruben-VandeVelde |
chore: split Mathlib.Algebra.Star.Basic |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
|
446/331 |
Mathlib.lean,Mathlib/Algebra/Module/LinearMap/Star.lean,Mathlib/Algebra/Star/Basic.lean,Mathlib/Algebra/Star/BigOperators.lean,Mathlib/Algebra/Star/Defs.lean,Mathlib/Algebra/Star/Lemmas.lean,Mathlib/Algebra/Star/Order.lean,Mathlib/Algebra/Star/Pi.lean,Mathlib/Algebra/Star/Pointwise.lean,Mathlib/Algebra/Star/Rat.lean,Mathlib/Algebra/Star/Regular.lean,Mathlib/Algebra/Star/StarRingHom.lean,Mathlib/Analysis/NormedSpace/LinearIsometry.lean,Mathlib/Data/Complex/Basic.lean,scripts/noshake.json |
15 |
3 |
['github-actions', 'grunweg', 'j-loreaux'] |
nobody |
411-10233 1 year ago |
716-26578 716 days ago |
0-45204 12 hours |
| 14007 |
adomani author:adomani |
test: papercut linter working on all mathlib |
This PR is a testing ground for potential issues with the papercut linter #13999. It is not intended to be merged.
The linter is active on all of mathlib, to make sure that the linter does not throw errors, but only emits warnings!
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
WIP
t-linter
|
249/0 |
Mathlib.lean,Mathlib/Tactic.lean,Mathlib/Tactic/Linter.lean,Mathlib/Tactic/Linter/Papercut.lean,test/Papercut.lean |
5 |
1 |
['github-actions'] |
nobody |
411-10118 1 year ago |
unknown |
0-0 0 seconds |
| 20354 |
eric-wieser author:eric-wieser |
feat: generalize `ContinuousLinearMap.curry` to TVS |
Follow on from #10777
---
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Any other comments you want to keep out of the PR commit should go
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-analysis
|
57/25 |
Mathlib/Analysis/NormedSpace/Multilinear/Curry.lean |
1 |
3 |
['eric-wieser', 'github-actions', 'leanprover-community-bot-assistant'] |
nobody |
411-10053 1 year ago |
unknown |
0-0 0 seconds |
| 8511 |
eric-wieser author:eric-wieser |
refactor(MeasureTheory/Measure/Haar/Basic): partially generalize to the affine case |
Without a `Mul` version of `AddTorsor`, this generalization can only go so far.
---
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merge-conflict
awaiting-author
t-measure-probability
|
52/46 |
Mathlib/MeasureTheory/Measure/Haar/Basic.lean |
1 |
0 |
[] |
nobody |
411-9864 1 year ago |
941-67944 941 days ago |
0-7 7 seconds |
| 7994 |
ericrbg author:ericrbg |
chore: generalize `LieSubalgebra.mem_map_submodule` |
---
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Not sure if we should rename to something like `mem_map_iff_mem_map_submodule` or not.
[](https://gitpod.io/from-referrer/)
|
please-adopt
merge-conflict
t-algebra
label:t-algebra$ |
16/4 |
Mathlib/Algebra/Lie/SkewAdjoint.lean,Mathlib/Algebra/Lie/Subalgebra.lean |
2 |
3 |
['eric-wieser', 'ericrbg'] |
nobody |
411-9852 1 year ago |
964-4847 964 days ago |
0-1 1 second |
| 6317 |
eric-wieser author:eric-wieser |
refactor(Data/Finsupp/Defs): make Finsupp.single defeq to Pi.single |
By adding a `DecidableEq ι` argument to `Finsupp.single`, we remove the reference to `Classical.decEq ι` in the definition, which in turn means that when coerced to a function it is now defeq to `Pi.single`.
This also brings it in line with `DFinsupp.single`.
This does not go as far as making `Finsupp.single` computable.
---
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|
merge-conflict
WIP
t-data
|
269/226 |
Mathlib/Algebra/BigOperators/Finsupp.lean,Mathlib/Data/Finsupp/AList.lean,Mathlib/Data/Finsupp/Basic.lean,Mathlib/Data/Finsupp/Defs.lean,Mathlib/Data/Finsupp/Fintype.lean,Mathlib/Data/Finsupp/Indicator.lean,Mathlib/Data/Finsupp/Multiset.lean,Mathlib/Data/Finsupp/Order.lean,Mathlib/Data/Finsupp/ToDFinsupp.lean,Mathlib/Data/Nat/Choose/Multinomial.lean,Mathlib/LinearAlgebra/Basis.lean,Mathlib/LinearAlgebra/Finsupp.lean |
12 |
0 |
[] |
nobody |
411-9846 1 year ago |
unknown |
0-0 0 seconds |
| 6277 |
jjaassoonn author:jjaassoonn |
Dimension theory |
Some results are
- The ring Krull dimension and the topological dimension of the prime spectrum of a ring are the same
- A field is zero-dimensional and a PID that is not a field is one dimensional
- An Artinian ring is zero-dimensional
- The Krull dimension of ring $R$ is equal to the supremum of heights of maximal ideals [00KG](https://stacks.math.columbia.edu/tag/00KG)
- two definitions of module length agree
- A module is finite length iff both artinian and noetherian
- length of module $M$ is equal to the sum of length of $N$ and length of $M / N$ where $N$ is a submodule of $M$.
- Noetherian ring has only finitely many minimal primes #9088
- In a zero dimensional ring, prime ideals are maximal
- Artinian rings has finitely many maximal ideals #9087
- zero-dimensional rings with finitely many prime ideals are products of its localizations: $R \cong \prod_{\mathfrak{p}}R_{\mathfrak{p}}$
- Let $M_0 \le ... \le M_n$, then $l(M_n/ M_0) = l(M_1/M_0) + l(M_2/M_1) + ... + l(M_n/M_{n-1})$ where $l$ denotes module length.
- If $f : R \to S$ is a ring homomorphism and $M$ an $S$-module, then $l_R(M) \le l_S(M)$, when $f$ is surjective then they are equal. (Note that this is expressed using `[Algebra R S]` and `RestrictScalars R S M`, instead of a literal ring hom)
- Artinian rings are noetherian ring of dimension 0.
- For 0-dimensional local ring, its maximal ideal is locally nilpotent
- In notherian ring, $I \le \sqrt{J}$ implies $I ^ n \le J$ for some $n$
---
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- [x] depends on: #6309
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebra
label:t-algebra$ |
3289/459 |
Mathlib.lean,Mathlib/Algebra/Module/Length.lean,Mathlib/Algebra/Module/Submodule/JordanHolder.lean,Mathlib/Algebra/PUnitInstances.lean,Mathlib/AlgebraicGeometry/PrimeSpectrum/ArtinianAndNoetherian.lean,Mathlib/Data/List/Basic.lean,Mathlib/Data/List/Dedup.lean,Mathlib/Data/List/Nodup.lean,Mathlib/LinearAlgebra/Quotient.lean,Mathlib/Order/Cover.lean,Mathlib/Order/JordanHolder.lean,Mathlib/Order/KrullDimension.lean,Mathlib/Order/ListOnPartialOrderTypes.lean,Mathlib/Order/Monotone/Basic.lean,Mathlib/Order/RelSeries.lean,Mathlib/RingTheory/Artinian.lean,Mathlib/RingTheory/Finiteness.lean,Mathlib/RingTheory/Ideal/Operations.lean,Mathlib/RingTheory/Ideal/Pi.lean,Mathlib/RingTheory/KrullDimension.lean,Mathlib/RingTheory/Noetherian.lean,Mathlib/RingTheory/SimpleModule.lean,Mathlib/Topology/KrullDimension.lean,Mathlib/Topology/Sheaves/SheafCondition/EqualizerProducts.lean |
24 |
11 |
['alreadydone', 'jjaassoonn', 'leanprover-community-mathlib4-bot'] |
nobody |
411-9841 1 year ago |
unknown |
0-0 0 seconds |
| 8536 |
jjaassoonn author:jjaassoonn |
characteristic predicate of tensor product |
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|
merge-conflict
t-algebra
label:t-algebra$ |
399/7 |
Mathlib/Algebra/Category/AlgebraCat/Monoidal.lean,Mathlib/LinearAlgebra/IsTensorProduct.lean,Mathlib/LinearAlgebra/TensorProduct.lean,Mathlib/LinearAlgebra/TensorProduct/Tower.lean |
4 |
12 |
['alreadydone', 'eric-wieser', 'jjaassoonn'] |
nobody |
411-9794 1 year ago |
unknown |
0-0 0 seconds |
| 11524 |
mcdoll author:mcdoll |
refactor: Introduce type-class for SchwartzMap |
---
There are a lot of other refactors to do (`seminormAux` should have a nicer name and gobble up more theorems from `seminorm`), then one can prove `integrable` and friends with only `SchwartzMapClass`.
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|
merge-conflict
WIP
t-analysis
|
139/137 |
Mathlib/Analysis/Distribution/SchwartzSpace.lean,Mathlib/Analysis/Fourier/PoissonSummation.lean,Mathlib/Topology/ContinuousFunction/ZeroAtInfty.lean |
3 |
0 |
[] |
nobody |
411-9760 1 year ago |
unknown |
0-0 0 seconds |
| 11003 |
thorimur author:thorimur |
chore: migrate to `tfae` block tactic |
Migrates to the `tfae` block tactic syntax, eliminating uses of `tfae_have` and `tfae_finish`.
---
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- [ ] depends on: #11000
- [ ] depends on: #10991
[](https://gitpod.io/from-referrer/)
|
merge-conflict
WIP
blocked-by-other-PR
t-meta
|
1267/1081 |
Mathlib/Algebra/Exact.lean,Mathlib/Algebra/Homology/ShortComplex/ExactFunctor.lean,Mathlib/Algebra/Order/ToIntervalMod.lean,Mathlib/Analysis/BoxIntegral/Box/Basic.lean,Mathlib/Analysis/InnerProductSpace/Basic.lean,Mathlib/Analysis/LocallyConvex/WithSeminorms.lean,Mathlib/Analysis/NormedSpace/OperatorNorm/NormedSpace.lean,Mathlib/Analysis/RCLike/Basic.lean,Mathlib/Analysis/SpecificLimits/Normed.lean,Mathlib/CategoryTheory/Abelian/Exact.lean,Mathlib/CategoryTheory/Bicategory/Kan/Adjunction.lean,Mathlib/FieldTheory/Galois.lean,Mathlib/FieldTheory/KummerExtension.lean,Mathlib/GroupTheory/Nilpotent.lean,Mathlib/LinearAlgebra/Eigenspace/Zero.lean,Mathlib/MeasureTheory/Group/Action.lean,Mathlib/NumberTheory/FLT/Basic.lean,Mathlib/Order/CompactlyGenerated/Basic.lean,Mathlib/Order/Height.lean,Mathlib/Order/WellFoundedSet.lean,Mathlib/RingTheory/Bezout.lean,Mathlib/RingTheory/DiscreteValuationRing/TFAE.lean,Mathlib/RingTheory/Flat/EquationalCriterion.lean,Mathlib/RingTheory/Henselian.lean,Mathlib/RingTheory/LocalRing/RingHom/Basic.lean,Mathlib/RingTheory/Valuation/Basic.lean,Mathlib/RingTheory/Valuation/ValuationRing.lean,Mathlib/SetTheory/Ordinal/Topology.lean,Mathlib/Tactic/TFAE.lean,Mathlib/Topology/Algebra/Group/SubmonoidClosure.lean,Mathlib/Topology/Category/CompHaus/EffectiveEpi.lean,Mathlib/Topology/Category/Profinite/EffectiveEpi.lean,Mathlib/Topology/Category/Stonean/EffectiveEpi.lean,Mathlib/Topology/Inseparable.lean,Mathlib/Topology/LocallyClosed.lean,Mathlib/Topology/LocallyConstant/Basic.lean,Mathlib/Topology/NoetherianSpace.lean,Mathlib/Topology/Order/LeftRightNhds.lean,Mathlib/Topology/Separation.lean,Mathlib/Topology/UniformSpace/UniformConvergence.lean,scripts/noshake.json,test/tfae.lean |
42 |
2 |
['github-actions', 'leanprover-community-mathlib4-bot'] |
nobody |
411-9756 1 year ago |
639-57529 639 days ago |
3-60883 3 days |
| 9819 |
jjaassoonn author:jjaassoonn |
fg graded ring |
1. if $A$ is a noetherian graded ring, then $A_0$ is a noetherian subring of $A$ and $A$ is a finitely generated algebra over $A_0$, if $M$ is a finitely generated graded module over $A$, then each $M_n$ is a finitely generated module over
$A_0$.
2. Definition of additive functions over any abelian category: if $C$ is an abelian category, a function $f : C \to \mathbb Z$ is said to be additive, if $f(y) = f(x) + f(z)$ whenever $0\to x \to y \to z \to 0$ is exact. proved some basic properties such as $f(0) = 0$ and $f(x) = f(y)$ whenever $x \cong y$ and interaction of $f$ with longer exact sequences
3. The category of finitely generated module over noetherian ring is abelian
4. A proof of Hilbert-Serre theorem: the Poincare series is actually of the form $\frac{p}{\prod(1- X^i)}$ where $p$ is polynomial
The code works, but poorly written.
---
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merge-conflict
WIP
t-algebra
label:t-algebra$ |
6745/217 |
Mathlib.lean,Mathlib/Algebra/Category/FGModuleCat/Abelian.lean,Mathlib/Algebra/Category/FGModuleCat/Basic.lean,Mathlib/Algebra/Category/FGModuleCat/EpiMono.lean,Mathlib/Algebra/Category/FGModuleCat/Kernels.lean,Mathlib/Algebra/Category/FGModuleCat/Limits.lean,Mathlib/Algebra/DirectSum/Basic.lean,Mathlib/Algebra/GradedMonoid.lean,Mathlib/Algebra/HilbertSerre/AdditiveFunction.lean,Mathlib/Algebra/HilbertSerre/FiniteInstances.lean,Mathlib/Algebra/HilbertSerre/HilbertPolynomial.lean,Mathlib/Algebra/HilbertSerre/Theorem.lean,Mathlib/Algebra/Module/GradeZeroModule.lean,Mathlib/Algebra/Module/GradedModule.lean,Mathlib/AlgebraicGeometry/ProjectiveSpectrum/Topology.lean,Mathlib/RingTheory/FiniteType.lean,Mathlib/RingTheory/Finiteness.lean,Mathlib/RingTheory/GradedAlgebra/Basic.lean,Mathlib/RingTheory/GradedAlgebra/HomogeneousIdeal.lean,Mathlib/RingTheory/GradedAlgebra/Noetherian.lean,Mathlib/RingTheory/GradedAlgebra/Radical.lean,Mathlib/RingTheory/GradedAlgebra/Subgrading.lean,Mathlib/RingTheory/Polynomial/Hilbert.lean,Mathlib/RingTheory/PowerSeries/Basic.lean,Mathlib/RingTheory/PowerSeries/WellKnown.lean |
25 |
2 |
['FMLJohn', 'github-actions'] |
nobody |
411-9742 1 year ago |
unknown |
0-0 0 seconds |
| 14348 |
eric-wieser author:eric-wieser |
perf: disable the `unusedVariables` linter for speed |
I doubt we want to merge this, but it shaves two minutes of the lint time.
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|
performance-hack |
1/0 |
lakefile.lean |
1 |
3 |
['eric-wieser', 'github-actions', 'leanprover-bot'] |
nobody |
411-9626 1 year ago |
unknown |
0-0 0 seconds |
| 13543 |
adomani author:adomani |
test: automatically undeprecate |
A test for `update_deprecations`. There are two files with deprecated declarations, but CI automatically fixes them, so that they pass the noisy tests (as well as passing fail-on-warning `lake build`).
---
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|
merge-conflict
t-linter
|
345/4 |
.github/workflows/bors.yml,.github/workflows/build.yml,.github/workflows/build.yml.in,.github/workflows/build_fork.yml,Mathlib.lean,Mathlib/Tactic.lean,Mathlib/Tactic/UpdateDeprecations.lean,Mathlib/test_depr.lean,Mathlib/test_depr_no_change.lean,lakefile.lean,scripts/update_deprecations.lean,test/UpdateDeprecations.lean |
12 |
0 |
[] |
nobody |
411-9593 1 year ago |
unknown |
0-0 0 seconds |
| 14932 |
eric-wieser author:eric-wieser |
chore: add nndist versions of lemmas |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-analysis
|
108/1 |
Mathlib/Analysis/InnerProductSpace/Basic.lean,Mathlib/Geometry/Euclidean/Basic.lean |
2 |
1 |
['github-actions'] |
nobody |
411-9406 1 year ago |
unknown |
0-0 0 seconds |
| 18202 |
ADedecker author:ADedecker |
chore: refactor algebraic filter bases |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-topology
t-algebra
label:t-algebra$ |
1086/1315 |
Mathlib/Analysis/Distribution/SchwartzSpace.lean,Mathlib/Analysis/LocallyConvex/AbsConvex.lean,Mathlib/Analysis/LocallyConvex/Barrelled.lean,Mathlib/Analysis/LocallyConvex/WeakDual.lean,Mathlib/Analysis/LocallyConvex/WithSeminorms.lean,Mathlib/Analysis/Normed/Operator/WeakOperatorTopology.lean,Mathlib/FieldTheory/KrullTopology.lean,Mathlib/RingTheory/DedekindDomain/FiniteAdeleRing.lean,Mathlib/Topology/Algebra/FilterBasis.lean,Mathlib/Topology/Algebra/Module/UniformConvergence.lean,Mathlib/Topology/Algebra/Nonarchimedean/AdicTopology.lean,Mathlib/Topology/Algebra/Nonarchimedean/Bases.lean,Mathlib/Topology/Algebra/UniformFilterBasis.lean,Mathlib/Topology/Algebra/Valued/ValuationTopology.lean |
14 |
1 |
['github-actions'] |
nobody |
410-2077 1 year ago |
unknown |
0-0 0 seconds |
| 22488 |
smmercuri author:smmercuri |
fix: lower priority for `UniformSpace.Completion.instSMul` |
Following the introduction of the `WithVal` type synonym in #22055 the following instance takes a long time to synthesise in FLT, and times out in the default heartbeats
```lean
import Mathlib
namespace IsDedekindDomain.HeightOneSpectrum
variable (A K : Type*) [CommRing A] [Field K] [Algebra A K] [IsFractionRing A K]
[IsDedekindDomain A] (v : HeightOneSpectrum A)
#synth SMul (v.adicCompletionIntegers K) (v.adicCompletion K)
```
The issue is that `UniformSpace.Completion.instSMul (v.adicCompletionIntegers K) (v.adicCompletion K)` now fires during the start of instance search (because we now have `UniformSpace (WithVal (v.valuation K))` whereas previously this would be `UniformSpace K`, which was not automatic), and this takes a long time to fail (leading to ~1400 entries in the trace). The first few lines of the new trace is
```lean
[Meta.synthInstance] [5.512418] ✅️ SMul (↥(adicCompletionIntegers K v)) (adicCompletion K v) ▼
[] [0.000118] new goal SMul (↥(adicCompletionIntegers K v)) (adicCompletion K v) ▶
[] [0.000537] ✅️ apply UniformSpace.Completion.instSMul to SMul (↥(adicCompletionIntegers K v)) (adicCompletion K v) ▶
[] [0.004411] ✅️ apply @WithVal.instSMul to SMul (↥(adicCompletionIntegers K v)) (WithVal (valuation K v)) ▶
[] [0.000765] ❌️ apply @GradedMonoid.GradeZero.smul to SMul (↥(adicCompletionIntegers K v)) K ▶
[] [0.000378] ✅️ apply @Algebra.toSMul to SMul (↥(adicCompletionIntegers K v)) K ▶
...
[] 1339 more entries... ▶
```
Lowering the priority of `UniformSpace.Completion.instSMul` fixes this particular issue, leading to a trace that matches that seen prior to the introduction of `WithVal`:
```lean
[Meta.synthInstance] [0.016405] ✅️ SMul (↥(adicCompletionIntegers K v)) (adicCompletion K v) ▼
[] [0.000119] new goal SMul (↥(adicCompletionIntegers K v)) (adicCompletion K v) ▶
[] [0.000491] ❌️ apply @GradedMonoid.GradeZero.smul to SMul (↥(adicCompletionIntegers K v)) (adicCompletion K v) ▶
[] [0.000403] ✅️ apply @Algebra.toSMul to SMul (↥(adicCompletionIntegers K v)) (adicCompletion K v) ▶
[] [0.000134] ❌️ apply inst✝⁴ to Algebra (↥(adicCompletionIntegers K v)) (adicCompletion K v) ▶
[] [0.000093] ❌️ apply inst✝⁵ to Algebra (↥(adicCompletionIntegers K v)) (adicCompletion K v) ▶
[] [0.000077] ❌️ apply inst✝⁷ to Algebra (↥(adicCompletionIntegers K v)) (adicCompletion K v) ▶
[] [0.000082] ❌️ apply inst✝⁹ to Algebra (↥(adicCompletionIntegers K v)) (adicCompletion K v) ▶
[] [0.000075] ❌️ apply inst✝¹² to Algebra (↥(adicCompletionIntegers K v)) (adicCompletion K v) ▶
[] [0.000220] ❌️ apply Algebra.id to Algebra (↥(adicCompletionIntegers K v)) (adicCompletion K v) ▶
[] [0.001015] ✅️ apply @ValuationSubring.instAlgebraSubtypeMem to Algebra (↥(adicCompletionIntegers K v))
(adicCompletion K v) ▶
[resume] [0.000038] propagating Algebra (↥(adicCompletionIntegers K v))
(adicCompletion K
v) to subgoal Algebra (↥(adicCompletionIntegers K v))
(adicCompletion K v) of SMul (↥(adicCompletionIntegers K v)) (adicCompletion K v) ▶
[check] [0.013358] ✅️ Algebra.toSMul
[] result Algebra.toSMul
```
---
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|
awaiting-author
t-topology
FLT
|
1/1 |
Mathlib/Topology/Algebra/UniformMulAction.lean |
1 |
10 |
['github-actions', 'leanprover-bot', 'smmercuri', 'urkud'] |
nobody |
409-79810 1 year ago |
416-21962 416 days ago |
55-70108 55 days |
| 15161 |
adomani author:adomani |
feat(Linter): flag `intros x y` which can be replaced by `intro x y` |
---
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[](https://gitpod.io/from-referrer/)
|
WIP
t-linter
|
78/1 |
Mathlib/Tactic/Linter/Lint.lean,test/Lint.lean |
2 |
4 |
['adomani', 'github-actions', 'grunweg'] |
nobody |
409-50885 1 year ago |
unknown |
0-0 0 seconds |
| 15654 |
TpmKranz author:TpmKranz |
feat(Computability): language-preserving maps between NFA and RE |
Map REs to NFAs via Thompson's construction and NFAs to REs using GNFAs
Last chunk of #12648
---
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- [ ] depends on: #15651
- [ ] depends on: #15649
[](https://gitpod.io/from-referrer/)
|
blocked-by-other-PR
new-contributor
t-computability
merge-conflict
awaiting-zulip
|
985/2 |
Mathlib.lean,Mathlib/Computability/GNFA.lean,Mathlib/Computability/Language.lean,Mathlib/Computability/NFA.lean,Mathlib/Computability/RegularExpressions.lean,Mathlib/Data/FinEnum/Option.lean,docs/references.bib |
7 |
3 |
['github-actions', 'leanprover-community-mathlib4-bot', 'meithecatte'] |
nobody |
408-43275 1 year ago |
677-66460 677 days ago |
0-179 2 minutes |
| 19315 |
quangvdao author:quangvdao |
feat(Data/Finsupp/Fin): Add `Finsupp` operations on `Fin` tuple |
This PR adds more analogues of operations on `Fin` tuples to the `Finsupp` setting. Before, there were only `Finsupp.cons` and `Finsupp.tail`. Now there are also `Finsupp.snoc`, `Finsupp.insertNth`, `Finsupp.init`, and `Finsupp.removeNth`. These all come with supporting lemmas.
I also removed the porting comment about `succAboveCases` in `Data/Fin/Basic`, and added a lemma about `succAbove` in `Data/Fin/Tuple/Basic`.
---
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- [x] depends on: #20361
- [x] depends on: #20771
- [x] depends on: #20770
[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-data
|
193/16 |
Mathlib/Algebra/BigOperators/Fin.lean,Mathlib/Algebra/BigOperators/Finsupp.lean,Mathlib/Algebra/MvPolynomial/Equiv.lean,Mathlib/Data/Finsupp/Fin.lean,Mathlib/RingTheory/MvPolynomial/Homogeneous.lean,scripts/nolints_prime_decls.txt |
6 |
44 |
['YaelDillies', 'github-actions', 'j-loreaux', 'kbuzzard', 'mathlib4-dependent-issues-bot', 'quangvdao'] |
nobody |
407-45236 1 year ago |
484-70259 484 days ago |
43-80684 43 days |
| 19464 |
adomani author:adomani |
test: removed merge-conflict |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
WIP
CI
delegated
|
22/1 |
.github/workflows/PR_summary.yml,scripts/zulip_emoji_merge_delegate.py |
2 |
10 |
['adomani', 'github-actions', 'leanprover-community-bot-assistant'] |
nobody |
406-56560 1 year ago |
unknown |
0-0 0 seconds |
| 24155 |
eric-wieser author:eric-wieser |
feat: add a "rw_proc" for fin vectors |
This seems a little nicer than an elaborator, since it means I can use the default elaboration rules to handle my first few variables.
Ideally there would be something like
```lean
rw_procQ {A : Type u} {B : A -> Type v} (a : A) (b : B a) : b = ?rhs => do
/-- Context:
u v : Level
A : Q(Type u)
B : Q($A -> Type v)
a : Q($A)
b : Q($B $a)
rhs : Q($B $a) -- metavariable to assign
|- MetaM Q($b = ?rhs)
-/
```
or
```lean
rw_proc {A : Type u} {B : A -> Type v} (a : A) (b : B a) : b = ?rhs => do
/-- Context:
u v : Level
A B a b : Expr
rhs : MVarId
|- MetaM Expr
-/
```
which would generate the code I wrote here
---
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[](https://gitpod.io/from-referrer/)
|
awaiting-author
RFC
t-data
t-meta
|
27/2 |
Mathlib/Data/Fin/Tuple/Reflection.lean |
1 |
2 |
['github-actions', 'urkud'] |
nobody |
405-41116 1 year ago |
405-41116 405 days ago |
20-83091 20 days |
| 21276 |
GabinKolly author:GabinKolly |
feat(ModelTheory/Substructures): define equivalences between equal substructures |
Define first-order equivalences between equal substructures, and prove related properties.
---
This is some preparatory work for #18876
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[](https://gitpod.io/from-referrer/)
|
awaiting-author
t-logic
|
62/0 |
Mathlib/ModelTheory/Substructures.lean |
1 |
19 |
['GabinKolly', 'YaelDillies', 'fpvandoorn', 'github-actions', 'grunweg'] |
nobody |
404-63310 1 year ago |
404-63310 404 days ago |
46-55730 46 days |
| 24008 |
meithecatte author:meithecatte |
chore(EpsilonNFA): replace manual lemmas with @[simps] |
---
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[](https://gitpod.io/from-referrer/)
|
t-computability
awaiting-author
new-contributor
|
2/24 |
Mathlib/Computability/EpsilonNFA.lean |
1 |
2 |
['YaelDillies', 'github-actions', 'urkud'] |
nobody |
403-2454 1 year ago |
403-2454 403 days ago |
27-52316 27 days |
| 24642 |
grunweg author:grunweg |
WIP-feat: add layercake formula for ENNReal-valued functions |
Not much to see here yet; some significant amount of work remains.
---
- [ ] depends on: #24643
- [ ] depends on: #24640 (based on that PR for simplicity)
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
WIP
carleson
t-analysis
|
189/24 |
Mathlib/Analysis/SpecialFunctions/Pow/Integral.lean,Mathlib/MeasureTheory/Function/LpSeminorm/Basic.lean,Mathlib/MeasureTheory/Function/LpSpace/Basic.lean,Mathlib/MeasureTheory/Integral/Layercake.lean |
4 |
3 |
['github-actions', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot'] |
nobody |
401-65235 1 year ago |
unknown |
0-0 0 seconds |
| 21712 |
grunweg author:grunweg |
chore: generalise more lemmas to `ContinuousENorm` |
---
- [x] depends on: #21781 (minor drive-by clean-up)
- [x] depends on: #21670
- [x] depends on: #22708 (extracted from this)
- some parts depend on #21433 (or better: #22175); when the dependent PR has landed, I will re-assess whether to split these into a separate PR
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
carleson
awaiting-CI
t-measure-probability
|
76/31 |
Mathlib/Analysis/Normed/MulAction.lean,Mathlib/MeasureTheory/Function/LpSeminorm/Basic.lean,Mathlib/MeasureTheory/Function/LpSpace/Basic.lean,Mathlib/MeasureTheory/Function/LpSpace/ContinuousFunctions.lean |
4 |
5 |
['github-actions', 'grunweg', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot'] |
nobody |
401-519 1 year ago |
unknown |
0-0 0 seconds |
| 21375 |
grunweg author:grunweg |
WIP: generalise lemmas to ENorm |
This work is part of (and a necessary pre-requisite for) the Carleson project.
---
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[](https://gitpod.io/from-referrer/)
|
WIP
awaiting-CI
t-measure-probability
carleson
merge-conflict
|
471/221 |
Mathlib/Analysis/NormedSpace/IndicatorFunction.lean,Mathlib/MeasureTheory/Function/L2Space.lean,Mathlib/MeasureTheory/Function/LocallyIntegrable.lean,Mathlib/MeasureTheory/Function/LpOrder.lean,Mathlib/MeasureTheory/Function/LpSeminorm/Basic.lean,Mathlib/MeasureTheory/Function/LpSeminorm/ChebyshevMarkov.lean,Mathlib/MeasureTheory/Function/LpSeminorm/CompareExp.lean,Mathlib/MeasureTheory/Function/LpSeminorm/TriangleInequality.lean,Mathlib/MeasureTheory/Function/LpSeminorm/Trim.lean,Mathlib/MeasureTheory/Function/LpSpace.lean,Mathlib/MeasureTheory/Function/SimpleFuncDenseLp.lean,Mathlib/MeasureTheory/Function/UniformIntegrable.lean,Mathlib/Probability/Independence/Integrable.lean |
13 |
2 |
['fpvandoorn', 'grunweg'] |
nobody |
400-81294 1 year ago |
unknown |
0-0 0 seconds |
| 24378 |
urkud author:urkud |
feat(Algebra/Order/Field/Basic): generalize lemmas |
... from linear ordered semifields to (commutative) groups with zero.
---
I'm going to do another round of generalizing today or tomorrow, so making it a draft PR for now.
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merge-conflict
t-algebra
label:t-algebra$ |
183/181 |
Archive/OxfordInvariants/Summer2021/Week3P1.lean,Mathlib/Algebra/Order/Field/Basic.lean,Mathlib/Algebra/Order/Floor/Ring.lean,Mathlib/Algebra/Order/Floor/Semiring.lean,Mathlib/Algebra/Order/GroupWithZero/Unbundled/Basic.lean,Mathlib/Analysis/Analytic/Basic.lean,Mathlib/Analysis/Asymptotics/Lemmas.lean,Mathlib/Analysis/CStarAlgebra/ApproximateUnit.lean,Mathlib/Analysis/Calculus/BumpFunction/Basic.lean,Mathlib/Analysis/Calculus/BumpFunction/FiniteDimension.lean,Mathlib/Analysis/Calculus/BumpFunction/InnerProduct.lean,Mathlib/Analysis/Complex/AbelLimit.lean,Mathlib/Analysis/Complex/Hadamard.lean,Mathlib/Analysis/Convex/Segment.lean,Mathlib/Analysis/Convex/SpecificFunctions/Basic.lean,Mathlib/Analysis/Convex/SpecificFunctions/Pow.lean,Mathlib/Analysis/Convex/StrictConvexSpace.lean,Mathlib/Analysis/Convex/Uniform.lean,Mathlib/Analysis/Convex/Visible.lean,Mathlib/Analysis/Fourier/RiemannLebesgueLemma.lean,Mathlib/Analysis/FunctionalSpaces/SobolevInequality.lean,Mathlib/Analysis/MeanInequalitiesPow.lean,Mathlib/Analysis/Normed/Field/Lemmas.lean,Mathlib/Analysis/Normed/Field/Ultra.lean,Mathlib/Analysis/Normed/Unbundled/SmoothingSeminorm.lean,Mathlib/Analysis/NormedSpace/HomeomorphBall.lean,Mathlib/Analysis/NormedSpace/OperatorNorm/NormedSpace.lean,Mathlib/Analysis/NormedSpace/Pointwise.lean,Mathlib/Analysis/SpecialFunctions/Complex/Arg.lean,Mathlib/Analysis/SpecialFunctions/Gamma/Beta.lean,Mathlib/Analysis/SpecialFunctions/Log/Deriv.lean,Mathlib/Analysis/SpecialFunctions/MulExpNegMulSqIntegral.lean,Mathlib/Analysis/SpecialFunctions/SmoothTransition.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Bounds.lean,Mathlib/Analysis/SpecificLimits/Basic.lean,Mathlib/Analysis/SpecificLimits/FloorPow.lean,Mathlib/Analysis/SpecificLimits/Normed.lean,Mathlib/Combinatorics/Additive/AP/Three/Behrend.lean,Mathlib/Combinatorics/Schnirelmann.lean,Mathlib/Combinatorics/SimpleGraph/Regularity/Chunk.lean,Mathlib/Computability/AkraBazzi/AkraBazzi.lean,Mathlib/Computability/AkraBazzi/GrowsPolynomially.lean,Mathlib/Data/Nat/Cast/Order/Field.lean,Mathlib/Data/Real/Archimedean.lean,Mathlib/Data/Real/Cardinality.lean,Mathlib/Data/Real/Pi/Wallis.lean,Mathlib/Geometry/Euclidean/Angle/Unoriented/Affine.lean,Mathlib/Geometry/Euclidean/Angle/Unoriented/RightAngle.lean,Mathlib/Geometry/Euclidean/Sphere/Tangent.lean,Mathlib/MeasureTheory/Function/StronglyMeasurable/Basic.lean,Mathlib/MeasureTheory/Function/UniformIntegrable.lean,Mathlib/MeasureTheory/Integral/CircleIntegral.lean,Mathlib/MeasureTheory/Integral/MeanInequalities.lean,Mathlib/MeasureTheory/Integral/PeakFunction.lean,Mathlib/MeasureTheory/Measure/SeparableMeasure.lean,Mathlib/NumberTheory/Bertrand.lean,Mathlib/NumberTheory/ClassNumber/AdmissibleAbs.lean,Mathlib/NumberTheory/DiophantineApproximation/Basic.lean,Mathlib/NumberTheory/LSeries/Injectivity.lean,Mathlib/NumberTheory/LSeries/ZMod.lean,Mathlib/NumberTheory/NumberField/Discriminant/Basic.lean,Mathlib/NumberTheory/Padics/Hensel.lean,Mathlib/NumberTheory/Padics/MahlerBasis.lean,Mathlib/NumberTheory/Pell.lean,Mathlib/NumberTheory/Transcendental/Liouville/LiouvilleNumber.lean,Mathlib/Order/Filter/AtTopBot/Floor.lean,Mathlib/Order/Interval/Set/IsoIoo.lean,Mathlib/Probability/StrongLaw.lean,Mathlib/RingTheory/Perfection.lean,Mathlib/Topology/ContinuousMap/Polynomial.lean,Mathlib/Topology/Instances/AddCircle.lean,Mathlib/Topology/UrysohnsLemma.lean |
72 |
3 |
['github-actions', 'leanprover-community-bot-assistant'] |
nobody |
400-65624 1 year ago |
418-22176 418 days ago |
0-14 14 seconds |
| 24618 |
b-mehta author:b-mehta |
feat(Analysis): add Schur inequality and variants |
Add Schur inequality and some of its common variants.
TODO:
- [x] add reference to source: https://www.cip.ifi.lmu.de/~grinberg/VornicuS.pdf
- [ ] add other generalisations
- [ ] move some of the lemmas elsewhere
---
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WIP
t-analysis
|
145/0 |
Mathlib/Analysis/Convex/Schur.lean |
1 |
16 |
['b-mehta', 'eric-wieser', 'github-actions'] |
nobody |
399-76387 1 year ago |
408-56389 408 days ago |
0-2 2 seconds |
| 15115 |
kkytola author:kkytola |
feat: Generalize assumptions in liminf and limsup results in ENNReals |
In a [review comment](https://github.com/leanprover-community/mathlib4/pull/13938#discussion_r1649744441) it was pointed out that results about liminf and limsup in ENNReal hold under milder assumptions. This PR does the generalization.
---
This PR is split off from #13938, where the review comment was made. The changes needed for the suggested generalization were of different kind than the simple PR's content, justifying a separate PR.
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|
t-order
merge-conflict
help-wanted
awaiting-author
t-topology
|
215/27 |
Mathlib/MeasureTheory/Measure/Portmanteau.lean,Mathlib/Order/LiminfLimsup.lean,Mathlib/Topology/Instances/ENNReal.lean |
3 |
8 |
['Ruben-VandeVelde', 'github-actions', 'grunweg', 'j-loreaux', 'kkytola', 'leanprover-community-mathlib4-bot'] |
nobody |
398-77629 1 year ago |
644-70447 644 days ago |
21-25493 21 days |
| 24957 |
eric-wieser author:eric-wieser |
feat: use ` binderNameHint` in sum_congr |
Zulip thread: [#new members > Choosing dummy variable inside summation @ 💬](https://leanprover.zulipchat.com/#narrow/channel/113489-new-members/topic/Choosing.20dummy.20variable.20inside.20summation/near/518492888)
Co-authored-by: Joachim Breitner <mail@joachim-breitner.de>
---
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|
t-algebra
merge-conflict
label:t-algebra$ |
23/16 |
Mathlib/Algebra/BigOperators/Expect.lean,Mathlib/Algebra/BigOperators/Group/Finset/Basic.lean,Mathlib/Analysis/BoxIntegral/Partition/Basic.lean,Mathlib/Data/Finset/Fold.lean,Mathlib/Data/Finset/Lattice/Fold.lean,Mathlib/Data/List/OfFn.lean,Mathlib/Data/Multiset/Count.lean,Mathlib/Data/Multiset/Filter.lean,Mathlib/Data/Multiset/MapFold.lean,Mathlib/Data/Option/Basic.lean,Mathlib/Data/Set/Image.lean,Mathlib/Data/Sym/Basic.lean,Mathlib/Data/Sym/Sym2.lean |
13 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
397-75531 1 year ago |
397-76633 397 days ago |
0-424 7 minutes |
| 8495 |
jjaassoonn author:jjaassoonn |
feat : Tensor-Hom adjunction in the category of modules |
# Tensor-Hom adjunction
Let $R$ be a commutative ring and $S$ any ring. Let $X$ be an $(S,R)$-bimoule. Then the tensor functor $(X \otimes_R \cdot)$ is a functor from left $R$-modules to left $S$-modules; and the hom-functor $Hom_S(X, \cdot)$ is a functor from left $S$-modules to left $R$-modules. For another left $S$-module $Y$, the left $R$-module structure of $Hom_S(X, Y)$ is given by $s \cdot f := x \mapsto f(s \cdot x)$. These two functors are adjoint.. In particular we have that
```math
{\rm Hom}_{S}(X\otimes_R Y, Z) \cong {\rm Hom}_R (Y, {\rm Hom}_S (X, Z))
```
## Implementation notes
1. Why not use the `Mathlib/LinearAlgebra/TensorProduct/Tower.lean`
In our setting `X` is an `(R, S)` bimodule and `Y` an `R`-module and `Z` an `S`-module
so to use the `Tower` file, we need `S` to be an `R`-algebra which is a luxury we do not have.
But note that in `Tower` file, `curry` and `uncurry` are both tri-linear maps. So `Tower` file
allows interplay of 3 rings which is not allowed in this file.
2. We require `R` to be commutative but we never used anything commutative. This is because of tensor product requires commutativity, but thanks to @alreadydone, this assumption could be removed soon.
I think this PR should wait for Junyan's attempt on removing commutativity, so it is marked as draft and wip for now
---
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merge-conflict
WIP
awaiting-author
t-algebra
label:t-algebra$ |
214/0 |
Mathlib.lean,Mathlib/Algebra/Category/ModuleCat/TensorHomAdjunction.lean |
2 |
88 |
['alreadydone', 'bustercopley', 'eric-wieser', 'github-actions', 'jjaassoonn', 'kbuzzard', 'kim-em', 'leanprover-community-bot-assistant'] |
eric-wieser assignee:eric-wieser |
396-72165 1 year ago |
941-10120 941 days ago |
1-57685 1 day |
| 19284 |
adomani author:adomani |
test: commit a change only to the "master" CI build action |
This PR should fail CI, since the main CI build file is incompatible with the autogenerated ones.
---
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merge-conflict
awaiting-author
CI
|
3/3 |
.github/build.in.yml,.github/workflows/actionlint.yml |
2 |
12 |
['adomani', 'bryangingechen', 'github-actions', 'jcommelin', 'leanprover-community-bot-assistant'] |
bryangingechen assignee:bryangingechen |
395-17169 1 year ago |
513-77357 513 days ago |
61-913 61 days |