Would you like to help out at a PR, differently from reviewing? Here are some ideas:
| 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 |
| 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`. |
---
- [ ] 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 |
500-20161 1 year ago |
534-8063 1 year ago |
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
---
```bash
# First sed command:
# the first captured pattern is `Co*variantClass `
# the second captured pattern is ``
# the third captured pattern is `+` or `*`
# the fourth captured pattern is `<` or `≤`
# a match for `Co*variantClass (· ·) (· ·)` becomes
# `Co*variantClass replaceop replaceop`
# Second sed command: similar to the first, but looks for `(Function.swap (· ·))`
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 |
36 |
['adomani', 'alreadydone', 'digama0', 'eric-wieser', 'ericrbg', 'jcommelin', 'leanprover-bot', 'sgouezel'] |
nobody |
500-20160 1 year ago |
522-864 1 year ago |
35-56459 35 days |
| 6491 |
eric-wieser author:eric-wieser |
chore(Mathlib/Algebra/Hom/GroupAction): add `SMulHomClass.comp_smul` |
---
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebra
label:t-algebra$ |
24/10 |
Mathlib/Algebra/Hom/GroupAction.lean |
1 |
0 |
[] |
nobody |
500-20159 1 year ago |
522-864 1 year ago |
83-76369 83 days |
| 10629 |
madvorak author:madvorak |
feat: List.cons_sublist_append_iff_right |
---
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-data
|
11/0 |
Mathlib/Data/List/Basic.lean |
1 |
1 |
['eric-wieser'] |
nobody |
486-13704 1 year ago |
486-13704 1 year 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`.
---
[](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 |
481-62949 1 year ago |
522-864 1 year 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.
---
- [ ] depends on: #11947
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-category-theory
t-algebraic-geometry
|
210/0 |
Mathlib.lean,Mathlib/AlgebraicGeometry/FunctorOfPoints.lean,Mathlib/AlgebraicGeometry/OpenImmersion.lean |
3 |
4 |
['github-actions', 'grunweg', 'leanprover-community-mathlib4-bot'] |
nobody |
481-62808 1 year ago |
522-864 1 year 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`.
[](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 |
481-62707 1 year ago |
522-864 1 year ago |
29-14218 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`.
---
[](https://gitpod.io/from-referrer/)
|
merge-conflict
new-contributor
t-data
|
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 |
480-83861 1 year ago |
486-13703 1 year ago |
54-52408 54 days |
| 17127 |
FR-vdash-bot author:FR-vdash-bot |
chore: remove global `Quotient.mk` `⟦·⟧` notation |
---
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 |
439-34800 1 year ago |
439-34800 1 year ago |
4-72805 4 days |
| 8029 |
alreadydone author:alreadydone |
refactor: Homotopy between Functions not ContinuousMaps |
This allows talking about homotopies without needing to supply proofs of continuity for the two ends. This for example simplifies the definition of H-spaces.
Of course, if a homotopy exists between two functions, those two functions are automatically continuous because they are restrictions of the homotopy (which is continuous) to subspaces.
`Homotopy.refl` still needs a continuous map as input, and `Homotopic` is only an equivalence relation when restricted to ContinuousMap.
---
TODO: fix docstrings
[](https://gitpod.io/from-referrer/)
|
merge-conflict
RFC
t-topology
|
246/250 |
Mathlib/AlgebraicTopology/FundamentalGroupoid/InducedMaps.lean,Mathlib/Topology/Homotopy/Basic.lean,Mathlib/Topology/Homotopy/Contractible.lean,Mathlib/Topology/Homotopy/Equiv.lean,Mathlib/Topology/Homotopy/HSpaces.lean,Mathlib/Topology/Homotopy/HomotopyGroup.lean,Mathlib/Topology/Homotopy/Path.lean,Mathlib/Topology/Homotopy/Product.lean |
8 |
3 |
['alreadydone', 'urkud'] |
nobody |
429-63605 1 year ago |
522-864 1 year ago |
9-20043 9 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`
---
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 |
402-30266 1 year ago |
402-30266 1 year ago |
7-45599 7 days |
| 12778 |
MichaelStollBayreuth author:MichaelStollBayreuth |
perf: decouple algebraic and order hierarchies in type class search |
Based on the experience gained with [#12680](https://github.com/leanprover-community/mathlib4/pull/12680), this attempts to decouple the algebraic and order hierarchies in type class search.
* We lower the priorities of instances like `OrderedSemiring.toSemiring` (which are generated by the `extends` clause with default priority 1000) to 50.
* Additionally, we make the default priority available via `open scoped AlgebraOrderInstances` and use that where appropriate.
**Motivation:** Looking at instance synthesization traces, it appears that when (e.g.) presented with the goal to find a `Semiring` instance, the algorithm frequently goes down a rabbit hole trying and failing to find order instances. This seems to be caused by the presence of instances like `OrderedSemiring.toSemiring` with default priority, which are tried early in the search, but lead nowhere (after a fairly long time). These instances are created by declarations of the form
```lean
class OrderedSemiring (α : Type u) extends Semiring α, OrderedAddCommMonoid α where ...
```
which automatically sets up (among other things) an instance `OrderedSemiring.toSemiring` with default piority. It appears that these instances cannot be removed completely (only locally in a module), so the next best solution is to make them low priority (which is possible also for downstream modules). To provide for situations where these instances are desired, we put a default priority version in the scope `AlgebraOrderInstances`.
---
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebra
t-order
slow-typeclass-synthesis
label:t-algebra$ |
306/27 |
Mathlib/Algebra/Algebra/Subalgebra/Order.lean,Mathlib/Algebra/ContinuedFractions/Computation/ApproximationCorollaries.lean,Mathlib/Algebra/ContinuedFractions/Computation/Approximations.lean,Mathlib/Algebra/Module/Rat.lean,Mathlib/Algebra/Module/Submodule/Order.lean,Mathlib/Algebra/Order/AbsoluteValue.lean,Mathlib/Algebra/Order/Algebra.lean,Mathlib/Algebra/Order/Antidiag/Prod.lean,Mathlib/Algebra/Order/Archimedean/Basic.lean,Mathlib/Algebra/Order/BigOperators/Group/Finset.lean,Mathlib/Algebra/Order/BigOperators/Group/List.lean,Mathlib/Algebra/Order/BigOperators/Group/Multiset.lean,Mathlib/Algebra/Order/BigOperators/Ring/Finset.lean,Mathlib/Algebra/Order/BigOperators/Ring/List.lean,Mathlib/Algebra/Order/BigOperators/Ring/Multiset.lean,Mathlib/Algebra/Order/CauSeq/Basic.lean,Mathlib/Algebra/Order/Chebyshev.lean,Mathlib/Algebra/Order/CompleteField.lean,Mathlib/Algebra/Order/Field/Basic.lean,Mathlib/Algebra/Order/Field/Defs.lean,Mathlib/Algebra/Order/Field/Pi.lean,Mathlib/Algebra/Order/Floor.lean,Mathlib/Algebra/Order/Floor/Div.lean,Mathlib/Algebra/Order/Group/Defs.lean,Mathlib/Algebra/Order/Group/Units.lean,Mathlib/Algebra/Order/GroupWithZero/Canonical.lean,Mathlib/Algebra/Order/Hom/Basic.lean,Mathlib/Algebra/Order/Hom/Monoid.lean,Mathlib/Algebra/Order/Interval/Basic.lean,Mathlib/Algebra/Order/Interval/Set/Instances.lean,Mathlib/Algebra/Order/Invertible.lean,Mathlib/Algebra/Order/Kleene.lean,Mathlib/Algebra/Order/Module/Algebra.lean,Mathlib/Algebra/Order/Module/Defs.lean,Mathlib/Algebra/Order/Module/Pointwise.lean,Mathlib/Algebra/Order/Monoid/Basic.lean,Mathlib/Algebra/Order/Monoid/Canonical/Defs.lean,Mathlib/Algebra/Order/Monoid/Defs.lean,Mathlib/Algebra/Order/Monoid/OrderDual.lean,Mathlib/Algebra/Order/Monoid/Prod.lean,Mathlib/Algebra/Order/Nonneg/Field.lean,Mathlib/Algebra/Order/Nonneg/Ring.lean,Mathlib/Algebra/Order/Pi.lean,Mathlib/Algebra/Order/Positive/Field.lean,Mathlib/Algebra/Order/Positive/Ring.lean,Mathlib/Algebra/Order/Rearrangement.lean,Mathlib/Algebra/Order/Ring/Basic.lean,Mathlib/Algebra/Order/Ring/Defs.lean,Mathlib/Algebra/Order/Ring/InjSurj.lean,Mathlib/Algebra/Order/Ring/Pow.lean,Mathlib/Algebra/Order/Sub/WithTop.lean,Mathlib/Algebra/Order/ToIntervalMod.lean,Mathlib/Algebra/Ring/BooleanRing.lean,Mathlib/AlgebraicGeometry/Morphisms/RingHomProperties.lean,Mathlib/AlgebraicTopology/FundamentalGroupoid/Basic.lean,Mathlib/Analysis/BoundedVariation.lean,Mathlib/Analysis/Complex/UpperHalfPlane/Metric.lean,Mathlib/Analysis/Convex/Basic.lean,Mathlib/Analysis/Convex/Cone/Basic.lean,Mathlib/Analysis/Convex/Cone/Closure.lean,Mathlib/Analysis/Convex/Cone/Pointed.lean,Mathlib/Analysis/Convex/Cone/Proper.lean,Mathlib/Analysis/Convex/Exposed.lean,Mathlib/Analysis/Convex/Extrema.lean,Mathlib/Analysis/Convex/Function.lean,Mathlib/Analysis/Convex/Gauge.lean,Mathlib/Analysis/Convex/GaugeRescale.lean,Mathlib/Analysis/Convex/Hull.lean,Mathlib/Analysis/Convex/Join.lean,Mathlib/Analysis/Convex/Mul.lean,Mathlib/Analysis/Convex/Quasiconvex.lean,Mathlib/Analysis/Convex/SpecificFunctions/Pow.lean,Mathlib/Analysis/Convex/Star.lean,Mathlib/Analysis/Convex/Strict.lean,Mathlib/Analysis/InnerProductSpace/Orientation.lean,Mathlib/Analysis/MeanInequalities.lean,Mathlib/Analysis/SpecialFunctions/Gamma/BohrMollerup.lean,Mathlib/Analysis/SpecialFunctions/Polynomials.lean,Mathlib/Analysis/SpecificLimits/FloorPow.lean,Mathlib/Analysis/SpecificLimits/Normed.lean,Mathlib/Combinatorics/Optimization/ValuedCSP.lean,Mathlib/Combinatorics/Pigeonhole.lean,Mathlib/Combinatorics/SetFamily/FourFunctions.lean,Mathlib/Data/DFinsupp/Lex.lean,Mathlib/Data/DFinsupp/Multiset.lean,Mathlib/Data/DFinsupp/Order.lean,Mathlib/Data/Finset/MulAntidiagonal.lean,Mathlib/Data/Finsupp/Lex.lean,Mathlib/Data/Finsupp/Multiset.lean,Mathlib/Data/Finsupp/Order.lean,Mathlib/Data/Int/Log.lean,Mathlib/Data/Multiset/Antidiagonal.lean,Mathlib/Data/Multiset/Basic.lean,Mathlib/Data/Multiset/Bind.lean,Mathlib/Data/Nat/Cast/Field.lean,Mathlib/Data/Nat/Cast/Order/Basic.lean,Mathlib/Data/Nat/Choose/Bounds.lean,Mathlib/Data/PNat/Factors.lean,Mathlib/Data/Rat/Denumerable.lean,Mathlib/Data/Set/Pointwise/Interval.lean |
135 |
34 |
['MichaelStollBayreuth', 'YaelDillies', 'github-actions', 'leanprover-bot'] |
nobody |
402-29169 1 year ago |
402-29169 1 year ago |
18-19513 18 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.
[](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 |
382-7021 1 year ago |
382-7021 1 year ago |
7-68492 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.
---
[](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 |
379-69498 1 year ago |
379-69498 1 year ago |
4-60621 4 days |
| 18756 |
astrainfinita author:astrainfinita |
refactor: deprecate `DistribMulActionSemiHomClass` `MulSemiringActionSemiHomClass` |
---
[](https://gitpod.io/from-referrer/)
|
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 |
368-35167 1 year ago |
368-35167 1 year ago |
31-75259 31 days |
| 18748 |
FR-vdash-bot author:FR-vdash-bot |
refactor: deprecate `ContinuousLinearMapClass` |
---
- [ ] depends on: #18689
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-topology
t-algebra
label:t-algebra$ |
115/49 |
Mathlib/Analysis/CStarAlgebra/Spectrum.lean,Mathlib/Analysis/LocallyConvex/WeakOperatorTopology.lean,Mathlib/Analysis/Normed/Algebra/Spectrum.lean,Mathlib/Analysis/Normed/Operator/LinearIsometry.lean,Mathlib/Topology/Algebra/Module/Basic.lean,Mathlib/Topology/Algebra/Module/CharacterSpace.lean,Mathlib/Topology/Algebra/Module/FiniteDimension.lean,Mathlib/Topology/Algebra/Module/StrongTopology.lean,Mathlib/Topology/Algebra/Module/WeakDual.lean,Mathlib/Topology/Homeomorph.lean |
10 |
5 |
['FR-vdash-bot', 'github-actions', 'leanprover-bot', 'mathlib4-dependent-issues-bot'] |
nobody |
361-85580 11 months ago |
361-85583 11 months ago |
0-989 16 minutes |
| 18474 |
FR-vdash-bot author:FR-vdash-bot |
perf: lower the priority of `*WithOne.to*` instances |
---
From #7873.
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebra
slow-typeclass-synthesis
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 |
['FR-vdash-bot', 'eric-wieser', 'github-actions', 'leanprover-bot'] |
nobody |
331-69403 10 months ago |
331-69403 10 months ago |
76-67978 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`)
[](https://gitpod.io/from-referrer/)
|
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 |
319-7260 10 months ago |
319-7260 10 months ago |
27-43617 27 days |
| 16314 |
FR-vdash-bot author:FR-vdash-bot |
chore(Data/Quot): deprecate `ind*'` APIs |
---
- [x] depends on: #16264
[](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 |
242-26647 7 months ago |
242-26649 7 months ago |
55-52030 55 days |
| 15483 |
FR-vdash-bot author:FR-vdash-bot |
chore(GroupTheory/Coset): reduce defeq abuse |
---
- [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 |
['FR-vdash-bot', 'eric-wieser', 'github-actions', 'grunweg', 'leanprover-bot', 'leanprover-community-mathlib4-bot', 'mattrobball', 'mergify', 'urkud'] |
nobody |
241-57940 7 months ago |
490-9870 1 year ago |
4-79214 4 days |
| 13649 |
FR-vdash-bot author:FR-vdash-bot |
chore: redefine `Nat.div2` `Nat.bodd` |
The new definitions are faster than the old ones. `Nat.binaryRec` will be moved to batteries (https://github.com/leanprover-community/batteries/pull/799) or core (https://github.com/leanprover/lean4/pull/3756), so relevant contents are moved to a new file temporarily.
---
- [x] depends on: #15567
- [x] depends on: #19666
[](https://gitpod.io/from-referrer/)
|
merge-conflict |
63/88 |
Mathlib/Computability/Primrec.lean,Mathlib/Data/Int/Bitwise.lean,Mathlib/Data/Nat/Bits.lean,Mathlib/Data/Nat/Bitwise.lean,Mathlib/Data/Nat/Size.lean,Mathlib/Logic/Denumerable.lean,Mathlib/Logic/Encodable/Basic.lean,Mathlib/Logic/Equiv/Nat.lean |
8 |
15 |
['FR-vdash-bot', 'digama0', 'eric-wieser', 'github-actions', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot', 'urkud'] |
digama0 assignee:digama0 |
224-49979 7 months ago |
224-49981 7 months ago |
87-51692 87 days |
| 4979 |
mhk119 author:mhk119 |
doc(Data/Nat/Bitblast): initial commit |
Initial commit of Bitblast.lean where we prove equivalence of bitblast unsigned less than and bitblast addition.
---
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-data
|
202/4 |
Mathlib/Data/Bool/Basic.lean,Mathlib/Data/Nat/Bitwise.lean,Mathlib/Data/Nat/Pow.lean |
3 |
49 |
['ChrisHughes24', 'digama0', 'goens', 'grunweg', 'j-loreaux', 'kim-em', 'mhk119'] |
nobody |
224-21814 7 months ago |
224-21814 7 months ago |
7-68358 7 days |
| 18441 |
ADedecker author:ADedecker |
refactor(AdicTopology): use new API for algebraic filter bases, and factor some code |
---
- [x] depends on: #18437
[](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 |
177-1347 5 months ago |
177-1349 5 months ago |
0-679 11 minutes |
| 18439 |
ADedecker author:ADedecker |
refactor: use new algebraic filter bases API in `FiniteAdeleRing` |
---
- [x] depends on: #18437
[](https://gitpod.io/from-referrer/)
|
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 |
177-1345 5 months ago |
177-1347 5 months ago |
0-619 10 minutes |
| 18438 |
ADedecker author:ADedecker |
refactor: adapt `KrullTopology` to the new algebraic filter bases API |
---
- [x] depends on: #18437
[](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 |
177-1344 5 months ago |
177-1345 5 months 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.
---
[](https://gitpod.io/from-referrer/)
|
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 |
173-70035 5 months ago |
412-9851 1 year ago |
129-57991 129 days |
| 16074 |
Rida-Hamadani author:Rida-Hamadani |
feat: combinatorial maps and planar graphs |
We define combinatorial maps, then we define planar graph using combinatorial maps.
---
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-combinatorics
|
243/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Planar.lean,Mathlib/Data/CombinatorialMap.lean |
3 |
28 |
['Parcly-Taxel', 'Rida-Hamadani', 'github-actions', 'lambda-fairy', 'leanprover-community-bot-assistant'] |
kmill assignee:kmill |
161-35610 5 months ago |
161-35611 5 months ago |
72-51453 72 days |
| 9820 |
jjaassoonn author:jjaassoonn |
feat(RingTheory/GradedAlgebra/HomogeneousIdeal): generalize to homogeneous submodule |
The definitions, constructions and theorems in `HomogeneousIdeal.lean` are generalized to a homogeneous submodules.
So say $R$ is a ring and $M \cong \bigoplus_{i} M_i$ is an $R$-module. Then a homogeneous $R$-submodule of $M$ is an $R$-submodule $N$ such that for all $i$ and $n \in N$, $n_i \in N$. Note that this notion doesn't actually require $R$ to be graded and $M$ is a graded module. But for more interesting lemmas, we do need that $M$ is graded $R$-module. We bake the fact $R$ is graded into the definition of homogeneous submodule, otherwise, `CompleteLattice HomogeneousSubmodule` cannot find the order of synthesis (the proof depends on that $R$ is graded)
All definitions/constructions/theorems have a copy for ideals as well, this is to make sure dot notation still works.
The motivation of this generalization is graded quotient module
---
- [ ] depends on:#18728
[](https://gitpod.io/from-referrer/)
|
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 |
130-14699 4 months ago |
130-14699 4 months ago |
172-57747 172 days |
| 19097 |
Vierkantor author:Vierkantor |
chore(Algebra.Polynomial): split `Polynomial/Basic.lean` into smaller files |
This PR splits `Mathlib.Algebra.Polynomial.Basic` into the following files:
* `Polynomial/Defs.lean`: definition and ring structure on `R[X]`
* `Polynomial/Module.lean`: module structure on `R[X]`
* `Polynomial/Monomial.lean`: merged definition of `monomial`, `X`, `C` into the existing file (this is probably the file you want to import from now on)
* `Polynomial/EraseUpdate.lean`: definition of `erase` and `update`
* `Polynomial/Sum.lean`: definition of `sum`
Initially I added the monomial results to a new file, but ended up merging it with `Monomial.lean` since the two of them merge cleanly.
---
- [x] depends on: #28030 (going to resurrect this PR on top of that one later)
- [x] depends on: #19095
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebra
label:t-algebra$ |
3109/2500 |
Mathlib.lean,Mathlib/Algebra/BigOperators/Finsupp.lean,Mathlib/Algebra/MonoidAlgebra/Basic.lean,Mathlib/Algebra/MonoidAlgebra/Defs.lean,Mathlib/Algebra/MonoidAlgebra/Division.lean,Mathlib/Algebra/MonoidAlgebra/Lift.lean,Mathlib/Algebra/MonoidAlgebra/MapDomain.lean,Mathlib/Algebra/MonoidAlgebra/Module.lean,Mathlib/Algebra/MonoidAlgebra/Opposite.lean,Mathlib/Algebra/MonoidAlgebra/Support.lean,Mathlib/Algebra/Polynomial/Basic.lean,Mathlib/Algebra/Polynomial/Cardinal.lean,Mathlib/Algebra/Polynomial/Coeff.lean,Mathlib/Algebra/Polynomial/Defs.lean,Mathlib/Algebra/Polynomial/Degree/Definitions.lean,Mathlib/Algebra/Polynomial/Degree/TrailingDegree.lean,Mathlib/Algebra/Polynomial/EraseUpdate.lean,Mathlib/Algebra/Polynomial/Eval/Defs.lean,Mathlib/Algebra/Polynomial/Eval/Degree.lean,Mathlib/Algebra/Polynomial/Module.lean,Mathlib/Algebra/Polynomial/Monomial.lean,Mathlib/Algebra/Polynomial/Sum.lean,Mathlib/Data/Finsupp/Basic.lean,Mathlib/Data/Finsupp/Defs.lean,Mathlib/Data/Finsupp/Ext.lean,Mathlib/Data/Finsupp/Fintype.lean,Mathlib/Data/Finsupp/Indicator.lean,Mathlib/Data/Finsupp/Notation.lean,Mathlib/Data/Finsupp/Pointwise.lean,Mathlib/Data/Finsupp/SMulWithZero.lean,Mathlib/Data/Finsupp/Single.lean,Mathlib/Data/List/ToFinsupp.lean,Mathlib/LinearAlgebra/Matrix/Charpoly/Eigs.lean,Mathlib/RingTheory/KrullDimension/Basic.lean,Mathlib/RingTheory/Polynomial/Opposites.lean,Mathlib/RingTheory/PowerSeries/Basic.lean,Mathlib/Tactic/ExtractGoal.lean,MathlibTest/Polynomial.lean,MathlibTest/instance_diamonds.lean,scripts/noshake.json |
40 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
116-8283 3 months ago |
122-1068 4 months ago |
0-0 0 seconds |
| 13795 |
astrainfinita author:astrainfinita |
perf(Algebra/{Group, GroupWithZero, Ring}/InjSurj): reduce everything |
---
- [ ] depends on: #15192
- [ ] depends on: #15476
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebra
label:t-algebra$ |
340/194 |
Mathlib/Algebra/Equiv/TransferInstance.lean,Mathlib/Algebra/Group/InjSurj.lean,Mathlib/Algebra/GroupWithZero/Action/Defs.lean,Mathlib/Algebra/GroupWithZero/Action/End.lean,Mathlib/Algebra/GroupWithZero/InjSurj.lean,Mathlib/Algebra/Module/Defs.lean,Mathlib/Algebra/Module/RingHom.lean,Mathlib/Algebra/Ring/InjSurj.lean,scripts/noshake.json |
9 |
37 |
['MichaelStollBayreuth', 'astrainfinita', 'eric-wieser', 'github-actions', 'leanprover-bot', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot', 'mattrobball'] |
nobody |
113-3959 3 months ago |
242-18964 7 months ago |
52-31623 52 days |
| 6993 |
jjaassoonn author:jjaassoonn |
feat: lemmas about `AddMonoidAlgebra.{divOf, modOf}` |
---
- [x] depends on: #7582
- [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 |
23-80713 23 days ago |
522-864 1 year ago |
102-21189 102 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 |
---
- [ ] 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 |
23-80666 23 days ago |
130-14692 4 months ago |
0-0 0 seconds |
| 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.
---
[](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 |
333-82373 10 months ago |
333-82373 10 months ago |
6-66637 6 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.
---
[](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 |
282-79681 9 months ago |
282-79681 9 months ago |
16-76141 16 days |
| 22660 |
Ruben-VandeVelde author:Ruben-VandeVelde |
chore: follow naming convention around Group.IsNilpotent |
---
[](https://gitpod.io/from-referrer/)
|
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 |
271-15536 8 months ago |
271-15536 8 months 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
[](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 |
248-1683 8 months ago |
248-1684 8 months ago |
58-20339 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.
---
[](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 |
248-1681 8 months ago |
248-1683 8 months ago |
43-83249 43 days |
| 20567 |
grunweg author:grunweg |
feat(Cache): two small features |
- add an informational message to the get command (when run without arguments):
when more than 80% of all cache files present were not used in the last command,
tell the user about the `clean` command
---
- [ ] depends on #20568 (for the first feature)
- [ ] TODO: re-design this feature and the clean command: if there are N local copies of mathlib, cache should have a pointer to all of them - to avoid clearing all N-1 from inside the last local copy
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-meta
|
38/2 |
Cache/Main.lean |
1 |
11 |
['Julian', 'arthurpaulino', 'fpvandoorn', 'github-actions', 'grunweg'] |
nobody |
239-62043 7 months ago |
239-62043 7 months ago |
1-17369 1 day |
| 23859 |
urkud author:urkud |
feat(Topology/../Order/Field): generalize to `Semifield` |
.. from a linear ordered field to a linear ordered semifield---
- [ ] 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 |
235-14557 7 months ago |
235-14560 7 months 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.
---
[](https://gitpod.io/from-referrer/)
|
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 |
232-77732 7 months ago |
232-77734 7 months 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
---
[](https://gitpod.io/from-referrer/)
|
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 |
232-66429 7 months ago |
232-66430 7 months ago |
2-12022 2 days |
| 24354 |
grunweg author:grunweg |
chore(HasFiniteIntegral): rename three lemmas |
Discovered in #24343.
---
- [ ] depends on: #24343 (to avoid merge conflicts)
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-measure-probability
|
108/30 |
Mathlib/MeasureTheory/Function/L1Space/HasFiniteIntegral.lean |
1 |
3 |
['github-actions', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot'] |
nobody |
227-70833 7 months ago |
227-70834 7 months ago |
0-4604 1 hour |
| 23546 |
JovanGerb author:JovanGerb |
feat(LinearAlgebra/AffineSpace/AffineSubspace): rename `AffineSubspace.mk'` to `Submodule.shift` |
In addition to renaming, I've refactored the code a bit:
- `mem_mk'_iff_vsub_mem` was obsolete since it was the same as `mem_mk'`, so I removed it (this is due to a change in the definition I made recently)
- I added a nonempty instance for `shift`
- I added a simp lemma that `shift` isn't equal to `⊥` (the empty affine subspace). I need this for the next point.
- Edit: I'll leave this for a later PR.
~I proved a simp lemma that a `shift` is parallel to a `shift` if and only if the linear subspaces are the same.~
- I renamed `mk'_eq` to `shift_direction_eq_self `.
- I renamed `eq_or_eq_secondInter_of_mem_mk'_span_singleton_iff_mem` to `eq_or_eq_secondInter_iff_mem_of_mem_shift_span_singleton`. I think it is better to put the `of_mem_mk'_span_singleton` at the end of the name.
---
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-euclidean-geometry
|
128/99 |
Mathlib/Algebra/Module/ZLattice/Basic.lean,Mathlib/Geometry/Euclidean/Basic.lean,Mathlib/Geometry/Euclidean/MongePoint.lean,Mathlib/Geometry/Euclidean/PerpBisector.lean,Mathlib/Geometry/Euclidean/Sphere/SecondInter.lean,Mathlib/Geometry/Euclidean/Sphere/Tangent.lean,Mathlib/LinearAlgebra/AffineSpace/AffineSubspace/Defs.lean |
7 |
4 |
['JovanGerb', 'github-actions', 'leanprover-community-bot-assistant'] |
nobody |
222-82961 7 months ago |
222-82962 7 months ago |
26-25420 26 days |
| 22837 |
joneugster author:joneugster |
feat(Data/Set/Basic): add subset_iff and not_mem_subset_iff |
Add `Set.subset_iff` for consistent API with `Finset.subset_iff`.
Add `Set.not_mem_subset_iff` and `Finset.not_mem_subset_iff`.
---
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-data
t-set-theory
|
9/0 |
Mathlib/Data/Finset/Defs.lean,Mathlib/Data/Set/Basic.lean |
2 |
4 |
['Ruben-VandeVelde', 'github-actions', 'joneugster', 'leanprover-community-bot-assistant'] |
nobody |
201-85961 6 months ago |
201-85963 6 months ago |
30-35190 30 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).
---
- [ ] depends on: #24570
- [ ] depends on: #24953
(I did not test the last part.)
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-linter
|
58/19 |
Mathlib/Tactic/Linter/TextBased.lean,scripts/lint-style.lean |
2 |
19 |
['Vierkantor', 'adomani', 'github-actions', 'grunweg', 'joneugster', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot'] |
joneugster assignee:joneugster |
201-5049 6 months ago |
201-5052 6 months ago |
43-17409 43 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.
---
- [ ] depends on: #22890
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-topology
new-contributor
large-import
|
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 |
199-73179 6 months ago |
199-73181 6 months ago |
35-30364 35 days |
| 21182 |
joneugster author:joneugster |
fix(Util/CountHeartbeats): move elaboration in #count_heartbeats inside a namespace |
Currently the `#count_heartbeat` linter reported the heartbeats until it concluded `error: [declaration] has already been declared` instead of re-elaborating the declaration.
---
[Zulip report](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/count_heartbeats.20for.20all.20declarations.20in.20a.20file.3F/near/496303652)
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-meta
|
72/5 |
Mathlib/Util/CountHeartbeats.lean,MathlibTest/CountHeartbeats.lean |
2 |
17 |
['adomani', 'github-actions', 'joneugster', 'leanprover-community-bot-assistant', 'mathlib-bors'] |
adomani assignee:adomani |
193-15527 6 months ago |
193-15528 6 months ago |
64-19141 64 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).
---
[](https://gitpod.io/from-referrer/)
|
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 |
189-9606 6 months ago |
189-9608 6 months ago |
6-40169 6 days |
| 24823 |
eric-wieser author:eric-wieser |
refactor: add `hom` lemmas for the `MonoidalCategory` structure on `ModuleCat` |
---
[](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 |
161-34695 5 months ago |
161-34695 5 months ago |
43-42841 43 days |
| 25071 |
erdOne author:erdOne |
feat(EllipticCurve): basic API for singular cubics |
---
[](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 |
161-34449 5 months ago |
161-34450 5 months ago |
45-4961 45 days |
| 25283 |
Brian-Nugent author:Brian-Nugent |
feat: regular local rings |
Adds regular local rings and proves they are integral domains.
---
- [ ] depends on: #25280
- [ ] depends on: #25282
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebra
new-contributor
label:t-algebra$ |
871/0 |
.vscode/settings.json,Mathlib.lean,Mathlib/RingTheory/EmbeddingDimension.lean,Mathlib/RingTheory/LocalRingDimension.lean,Mathlib/RingTheory/RegularLocalRing.lean |
5 |
6 |
['Brian-Nugent', 'github-actions', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot', 'yuanyi-350'] |
nobody |
161-34442 5 months ago |
161-34442 5 months ago |
11-84822 11 days |
| 25573 |
JovanGerb author:JovanGerb |
feat: define `∃ x > y, ...` notation to mean `∃ x, y < x ∧ ...` |
This PR changes the elaboration of the binders `∃ x > y,` and `∀ x > y,` to use `<` instead of `>`, because we want to avoid working with `>` as much as possible (and similarly for `≥` vs `≤` ).
The advantage is that we don't need to worry about rewriting with lemmas like `gt_iff_lt`. The disadvantage is that people might find this confusing.
[#mathlib4 > naming convention for ≤ and < @ 💬](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/naming.20convention.20for.20.E2.89.A4.20and.20.3C/near/522910464)
The main changes are in `Mathlib.Init`, `Mathlib.Util.Delaborators` and `MathlibTest.delaborators`.
---
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-meta
|
59/52 |
Counterexamples/DiscreteTopologyNonDiscreteUniformity.lean,Mathlib/Algebra/Order/Monoid/Canonical/Defs.lean,Mathlib/Analysis/Analytic/Basic.lean,Mathlib/Analysis/BoxIntegral/Integrability.lean,Mathlib/Analysis/Calculus/UniformLimitsDeriv.lean,Mathlib/Analysis/Complex/Liouville.lean,Mathlib/Analysis/Complex/OpenMapping.lean,Mathlib/Analysis/Fourier/PoissonSummation.lean,Mathlib/Analysis/MellinTransform.lean,Mathlib/Analysis/Normed/Operator/Banach.lean,Mathlib/Dynamics/Ergodic/Conservative.lean,Mathlib/Dynamics/PeriodicPts/Defs.lean,Mathlib/Geometry/Manifold/IntegralCurve/ExistUnique.lean,Mathlib/Init.lean,Mathlib/MeasureTheory/Covering/LiminfLimsup.lean,Mathlib/MeasureTheory/Function/ConvergenceInMeasure.lean,Mathlib/MeasureTheory/Function/Egorov.lean,Mathlib/MeasureTheory/Function/StronglyMeasurable/Basic.lean,Mathlib/MeasureTheory/Integral/DivergenceTheorem.lean,Mathlib/MeasureTheory/Integral/Layercake.lean,Mathlib/NumberTheory/LSeries/SumCoeff.lean,Mathlib/Order/Filter/AtTopBot/Finite.lean,Mathlib/RingTheory/RootsOfUnity/PrimitiveRoots.lean,Mathlib/RingTheory/Valuation/Basic.lean,Mathlib/Topology/CWComplex/Classical/Finite.lean,Mathlib/Topology/ContinuousMap/Ideals.lean,Mathlib/Topology/EMetricSpace/Defs.lean,Mathlib/Topology/EMetricSpace/Paracompact.lean,Mathlib/Topology/LocallyFinite.lean,Mathlib/Topology/MetricSpace/Ultra/Basic.lean,Mathlib/Util/Delaborators.lean,MathlibTest/delaborators.lean |
32 |
2 |
['github-actions', 'leanprover-community-bot-assistant'] |
nobody |
161-34430 5 months ago |
161-34431 5 months ago |
26-17604 26 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 |
161-34137 5 months ago |
161-34137 5 months ago |
18-21880 18 days |
| 24405 |
mcdoll author:mcdoll |
refactor(Topology/Algebra/Module/WeakDual): Clean up |
- Move `Dual` and `dualPairing` lower in the import-hierachy
- deduplicate `dualPairing`
- Make `WeakDual` and `WeakSpace` reducible
---
New version of #11500
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-topology
large-import
|
146/162 |
Mathlib.lean,Mathlib/Analysis/Fourier/RiemannLebesgueLemma.lean,Mathlib/Analysis/InnerProductSpace/Adjoint.lean,Mathlib/Analysis/InnerProductSpace/Dual.lean,Mathlib/Analysis/LocallyConvex/WeakSpace.lean,Mathlib/Analysis/Normed/Module/Dual.lean,Mathlib/Analysis/Normed/Module/WeakDual.lean,Mathlib/Analysis/VonNeumannAlgebra/Basic.lean,Mathlib/MeasureTheory/Function/AEEqOfIntegral.lean,Mathlib/MeasureTheory/Measure/FiniteMeasure.lean,Mathlib/Topology/Algebra/Module/Dual.lean,Mathlib/Topology/Algebra/Module/WeakDual.lean,docs/overview.yaml,docs/undergrad.yaml |
14 |
2 |
['github-actions', 'leanprover-community-bot-assistant'] |
nobody |
159-85966 5 months ago |
159-85967 5 months ago |
69-52361 69 days |
| 26067 |
mapehe author:mapehe |
feat(Topology/StoneCech): exists_continuous_surjection_from_StoneCech_to_dense_range |
This lemma formalises the following version of the maximality property of the Stone–Čech compactification: If `f : α → β` is a continuous map from a topological space `α` to a Hausdorff space `β` with dense range, then there exists a continuous surjection from `StoneCech α` to `β` extending `f`. In particular, `StoneCech α` is the “largest” compact Hausdorff space into which `α` densely embeds, in the sense that any other such space is a continuous image of it.
---
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-topology
|
18/0 |
Mathlib/Topology/StoneCech.lean |
1 |
2 |
['github-actions', 'leanprover-community-bot-assistant'] |
nobody |
158-15515 5 months ago |
158-15515 5 months ago |
20-8582 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.
---
- [x] depends on: #20688
- [x] depends on: #23018
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-meta
infinity-cosmos
t-algebraic-topology
|
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 |
23 |
['eric-wieser', 'gio256', 'github-actions', 'kim-em', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot'] |
eric-wieser assignee:eric-wieser |
135-6392 4 months ago |
135-6392 4 months ago |
88-84229 88 days |
| 25238 |
Hagb author:Hagb |
feat(Tactic/ComputeDegree): add support for scalar multiplication with different types |
It would be able to deal with `a • (X : R[X])` where `a : S` is in a different type `S` with `[SMulZeroClass S R]`.
---
- [x] depends on: #25237
[](https://gitpod.io/from-referrer/)
|
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 |
131-12777 4 months ago |
131-12777 4 months ago |
38-26044 38 days |
| 26200 |
adomani author:adomani |
fix: add label when landrun fails |
Adds the `permission-denied` label on PRs that get blocked by landrun.
---
[](https://gitpod.io/from-referrer/)
|
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 |
129-50130 4 months ago |
129-50130 4 months ago |
46-52210 46 days |
| 27451 |
kckennylau author:kckennylau |
feat(RingTheory/Valuation): define ball, closed ball, and sphere |
*From the 2025 Local Class Field Theory Workshop.*
---
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-ring-theory
|
27/0 |
Mathlib/RingTheory/Valuation/Basic.lean |
1 |
13 |
['JovanGerb', 'github-actions', 'kckennylau', 'mathlib4-merge-conflict-bot', 'pechersky', 'wwylele'] |
nobody |
123-82633 4 months ago |
123-82634 4 months ago |
17-52359 17 days |
| 27987 |
kckennylau author:kckennylau |
feat(RingTheory/Valuation): define ball, closed ball, and sphere |
---
The pullback PR of #26827 and #27451.
[](https://gitpod.io/from-referrer/)
|
merge-conflict
large-import
t-ring-theory
|
73/0 |
Mathlib/RingTheory/Valuation/Basic.lean |
1 |
4 |
['JovanGerb', 'github-actions', 'kckennylau', 'mathlib4-merge-conflict-bot'] |
nobody |
123-82262 4 months ago |
123-82263 4 months 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.
---
[](https://gitpod.io/from-referrer/)
|
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 |
122-10486 4 months ago |
122-10487 4 months ago |
32-70098 32 days |
| 25483 |
VTrelat author:VTrelat |
chore(Data/Set/Prod, SetTheory/ZFC/Basic): add theorem prod_subset_of_prod and extend ZFC model |
Required by @eric-wieser in #24281
---
[](https://gitpod.io/from-referrer/)
|
merge-conflict
new-contributor
t-data
|
103/0 |
Mathlib/Data/Set/Prod.lean,Mathlib/SetTheory/ZFC/Basic.lean |
2 |
10 |
['Ruben-VandeVelde', 'VTrelat', 'github-actions', 'leanprover-community-bot-assistant'] |
nobody |
122-129 4 months ago |
161-34436 5 months ago |
29-56208 29 days |
| 25401 |
digama0 author:digama0 |
feat(Util): SuppressSorry option |
See also leanprover/lean4#8611 and [#lean4 > Silent sorry @ 💬](https://leanprover.zulipchat.com/#narrow/channel/270676-lean4/topic/Silent.20sorry/near/503537964). This is a stop-gap solution while leanprover/lean4#8611 is underway, but it works about as well as any other built in option. Hooking declaration elaborators turns out to be a very powerful technique.
---
[](https://gitpod.io/from-referrer/)
|
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 |
121-51682 3 months ago |
121-51682 3 months ago |
71-28549 71 days |
| 28622 |
alreadydone author:alreadydone |
chore(Mathlib): replace `=>` by `↦` |
---
[](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 |
115-55162 3 months ago |
115-55163 3 months ago |
0-83357 23 hours |
| 28626 |
alreadydone author:alreadydone |
chore(Archive, Counterexamples): replace => by ↦ |
---
[](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 |
113-84288 3 months ago |
113-84289 3 months ago |
2-48353 2 days |
| 28150 |
Equilibris author:Equilibris |
chore: clean up proofs typevec proofs |
While adding variable universe corecs I found a lot of theorems in typevec that could do with a bit of a clean-up
---
[](https://gitpod.io/from-referrer/)
|
merge-conflict
new-contributor
t-data
|
24/26 |
Mathlib/Data/TypeVec.lean |
1 |
7 |
['Equilibris', 'alexkeizer', 'github-actions', 'mathlib4-merge-conflict-bot'] |
nobody |
112-51604 3 months ago |
112-51605 3 months ago |
13-49738 13 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)
---
[](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 |
112-30924 3 months ago |
135-6846 4 months ago |
7-54661 7 days |
| 28042 |
kckennylau author:kckennylau |
feat(Topology/ValuativeRel): a topological basis indexed by pairs of elements |
---
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 |
112-30878 3 months ago |
112-30878 3 months 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 |
111-79156 3 months ago |
135-6847 4 months ago |
7-62439 7 days |
| 25889 |
plp127 author:plp127 |
fix(Tactic/Widget/Conv): fix various issues |
Fixes various issues with the `conv?` widget. Closes #25162.
([Zulip thread](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/bug.20in.20.60conv.3F.60))
Specifically, fixes issues with `conv?` where
- when converting a `SubExpr.Pos` to conv directions, it always uses the goal expression as reference, even when working on a hypothesis, this often leads to bad results and makes it unusable on hypotheses
- it refuses to go all the way in to a function (for example in `Nat.succ 0`, you can't access `Nat.succ`)
- it refuses to enter binders where the name of the bound variable contains the character `0` (try it on `∀ (x0 : Nat), x0 = x0`)
- it panics if it can't find a binder name instead of just coming up with one itself, this also means usually you can't enter either side of a non-dependent arrow since those usually don't have binder names (try it on `False → False`)
- you can't enter the type of a binder, you end up going into the body instead (try it on `fun (x : False) => (x.elim : False → Nat) x.elim`)
- you can't partially enter a function, you end up going to the top argument after instead (for example, in the expression `id (id id) 0`, when you click on `id (id id)`, you end up going to `id id`)
---
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-meta
|
419/84 |
Mathlib/Tactic/Widget/Conv.lean,MathlibTest/conv?.lean |
2 |
5 |
['bryangingechen', 'github-actions', 'mathlib4-merge-conflict-bot', 'plp127'] |
bryangingechen and kmill assignee:kmill assignee:bryangingechen |
110-67449 3 months ago |
110-67450 3 months ago |
70-58775 70 days |
| 27785 |
staroperator author:staroperator |
chore(Algebra/Group/Submonoid): golf `Nat.addSubmonoidClosure_one` using `simp` |
This should improve the proof readability.
---
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebra
large-import
label:t-algebra$ |
8/15 |
Mathlib/Algebra/Group/Submonoid/Membership.lean,Mathlib/Algebra/Group/Submonoid/Operations.lean,Mathlib/Algebra/Order/Star/Basic.lean |
3 |
9 |
['github-actions', 'joneugster', 'leanprover-bot', 'mathlib4-merge-conflict-bot', 'staroperator'] |
joneugster assignee:joneugster |
107-36219 3 months ago |
107-36220 3 months ago |
26-34065 26 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]
```
---
[](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 |
107-36090 3 months ago |
107-36091 3 months ago |
16-54453 16 days |
| 27566 |
wwylele author:wwylele |
feat(Data/Real): Archimedean.embedReal is a ring hom when M is an ordered ring |
Also shows that this ends up the same as `LinearOrderedField.inducedOrderRingHom` for fields
---
This is a spin-off from #27268 ~~because I got bored~~ . This is not in a high priority as I don't need it for anything yet, but the last lemma shows that `embedReal` is a generalization of `LinearOrderedField.inducedOrderRingHom` (which is only stated for field, and I didn't find when I was making the group embedding). Perhaps we should refactor `Mathlib/Algebra/Order/CompleteField.lean` with the definition here. Indeed, if we replace every `ℝ` with `(R : Type*)[ConditionallyCompleteLinearOrderedField R]` in `Data/Real/Embedding.lean`, the proof still works. What do you think?
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-data
large-import
|
220/3 |
Mathlib/Data/Real/Embedding.lean |
1 |
2 |
['github-actions', 'mathlib4-merge-conflict-bot'] |
nobody |
98-29209 3 months ago |
98-29210 3 months ago |
40-32085 40 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.
---
- [ ] 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 |
95-82436 3 months ago |
95-82437 3 months 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.
---
- [x] depends on: #27067
- [x] depends on: #26820
[](https://gitpod.io/from-referrer/)
|
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 |
95-77475 3 months ago |
95-78263 3 months 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`.
---
- [x] depends on: #27079
- [x] depends on: #27091
- [x] depends on: #26879
- [x] depends on: #26820
[](https://gitpod.io/from-referrer/)
|
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 |
95-4926 3 months ago |
95-78260 3 months 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 |
94-85187 3 months ago |
94-85188 3 months ago |
21-3001 21 days |
| 27933 |
grunweg author:grunweg |
chore(OrdNode): format code example in code blocks |
Wrap them in code blocks (and unindent them; that indentation is not needed any more).
This also avoids warnings from the linter in #27898.
-------
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-data
|
459/212 |
Mathlib/Data/Ordmap/Ordnode.lean |
1 |
4 |
['eric-wieser', 'github-actions', 'grunweg', 'mathlib4-merge-conflict-bot'] |
nobody |
91-35820 3 months ago |
91-35821 3 months ago |
39-69478 39 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 |
89-11031 2 months ago |
89-11032 2 months 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.
---
[](https://gitpod.io/from-referrer/)
|
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 |
80-22628 2 months ago |
80-22629 2 months ago |
20-39203 20 days |
| 21950 |
erdOne author:erdOne |
feat(NumberTheory/Padics): the completion of `ℚ` at a finite place is `ℚ_[p]` |
---
[](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 |
77-84138 2 months ago |
158-84075 5 months ago |
79-1228 79 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.
---
- [ ] depends on: #26679
[](https://gitpod.io/from-referrer/)
|
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 |
74-74220 2 months ago |
74-74221 2 months ago |
0-5521 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.
---
- [ ] depends on: #25743
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-category-theory
t-algebraic-topology
|
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 |
74-7222 2 months ago |
74-7224 2 months 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).
---
- [x] depends on: #26447
- [x] depends on: #26547
[](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 |
73-10447 2 months ago |
73-13419 2 months ago |
0-625 10 minutes |
| 23621 |
astrainfinita author:astrainfinita |
chore: deprecate `LinearOrderedComm{Monoid, Group}WithZero` |
---
[](https://gitpod.io/from-referrer/)
- [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 |
n/a |
['YaelDillies', 'astrainfinita', 'github-actions', 'grunweg', 'leanprover-bot', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot'] |
kbuzzard assignee:kbuzzard |
69-78562 2 months ago |
unknown |
unknown |
| 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.
---
[](https://gitpod.io/from-referrer/)
|
merge-conflict |
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 |
66-14091 2 months ago |
66-14092 2 months ago |
25-78230 25 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.
---
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-ring-theory
|
172/0 |
Counterexamples.lean,Counterexamples/DiscreteTopologyWithNontrivialValuation.lean |
2 |
n/a |
['github-actions', 'grunweg', 'kckennylau', 'mathlib4-merge-conflict-bot', 'pechersky'] |
nobody |
61-80693 2 months ago |
unknown |
unknown |
| 29378 |
mans0954 author:mans0954 |
feat(Analysis/LocallyConvex/AbsConvex): Balanced and AbsConvex sets under linear maps |
Provide `Balanced` and `AbsConvex` versions of `Convex.linear_image`, `Convex.linear_preimage` and the `is_linear` equivalents.
---
- [ ] depends on: #29342
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-analysis
|
133/68 |
Mathlib/Analysis/Convex/Basic.lean,Mathlib/Analysis/LocallyConvex/AbsConvex.lean,Mathlib/Analysis/LocallyConvex/AbsConvexOpen.lean,Mathlib/Analysis/LocallyConvex/BalancedCoreHull.lean,Mathlib/Analysis/LocallyConvex/Basic.lean,Mathlib/Analysis/Normed/Module/Dual.lean |
6 |
4 |
['github-actions', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
nobody |
59-37129 1 month ago |
59-37130 1 month ago |
0-14664 4 hours |
| 25978 |
Bergschaf author:Bergschaf |
feat(Order/Sublocale): Open Sublocales |
---
[](https://gitpod.io/from-referrer/)
- [x] depends on: #25089 |
merge-conflict
t-order
|
377/8 |
Mathlib.lean,Mathlib/Order/Hom/Lattice.lean,Mathlib/Order/Nucleus.lean,Mathlib/Order/Sublocale.lean,Mathlib/Order/Synonym.lean,docs/references.bib |
6 |
3 |
['github-actions', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
nobody |
50-69549 1 month ago |
123-27425 4 months ago |
0-1908 31 minutes |
| 30690 |
grunweg author:grunweg |
style(Order): fix whitespace |
Extracted from #30658. Found by extending the commandStart linter to proof bodies.
---
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-order
|
69/69 |
Mathlib/Order/Basic.lean,Mathlib/Order/Bounds/Image.lean,Mathlib/Order/Defs/PartialOrder.lean,Mathlib/Order/Filter/Cocardinal.lean,Mathlib/Order/Heyting/Basic.lean,Mathlib/Order/KonigLemma.lean,Mathlib/Order/Max.lean,Mathlib/Order/Minimal.lean,Mathlib/Order/Monotone/Basic.lean,Mathlib/Order/PiLex.lean,Mathlib/Order/RelClasses.lean,Mathlib/Order/SetIsMax.lean,Mathlib/Order/SetNotation.lean,Mathlib/Order/WithBot.lean |
14 |
4 |
['JovanGerb', 'github-actions', 'grunweg', 'mathlib4-merge-conflict-bot'] |
Vierkantor assignee:Vierkantor |
46-8328 1 month ago |
46-8329 1 month ago |
8-67789 8 days |
| 28132 |
dupuisf author:dupuisf |
feat: preliminary `grind` tags for `IsUnit` |
This PR adds preliminary `grind` tags for the `IsUnit` predicate.
---
[](https://gitpod.io/from-referrer/)
|
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 |
38-57291 1 month ago |
38-57292 1 month ago |
80-71575 80 days |
| 29877 |
Komyyy author:Komyyy |
feat: inner product of the gradient |
Also, this PR enables the `conj` notation in the file.
---
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-analysis
|
37/10 |
Mathlib/Analysis/Calculus/Gradient/Basic.lean |
1 |
2 |
['github-actions', 'mathlib4-merge-conflict-bot'] |
hrmacbeth assignee:hrmacbeth |
36-85950 1 month ago |
36-85952 1 month ago |
45-5432 45 days |
| 26827 |
pechersky author:pechersky |
feat(Analysis/Normed/ValuativeRel): helper instance for NormedField |
---
[](https://gitpod.io/from-referrer/)
- [x] depends on: #26713
- [x] depends on: #26826
|
merge-conflict
t-number-theory
t-analysis
t-algebra
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 |
30-85895 1 month ago |
30-85895 1 month ago |
127-58875 127 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 |
11 |
['ShreckYe', 'github-actions', 'mathlib4-merge-conflict-bot', 'themathqueen', 'vlad902'] |
pechersky assignee:pechersky |
30-42126 1 month ago |
33-39857 1 month ago |
74-62841 74 days |
| 27936 |
alreadydone author:alreadydone |
feat(Algebra): additivize Dvd and Prime |
`Prime` can't be directly additivized, so we introduce `Preprime`, which drops the `≠ 0` condition, and additivize it to `AddPrime`. To show that `Preprime` is a reasonable definition, we show its connection to `Irreducible` under `IsPrimal` and `IsRegular` conditions. We also show that an element in a product monoid is preprime iff one component is a unit and the other is preprime, and the same with `Preprime` replaced by `Irreducible`.
Also additivize `IsPrimal`, `IsRelPrime` and `DecompositionMonoid`.
The motivation is that the primality of `single g 1` in `AddMonoidAlgebra k G` is connected to the primality of `g` in `G`.
---
I've checked [all 29 files](https://github.com/search?q=repo%3Aleanprover-community%2Fmathlib4%20%E2%88%A3%20to_additive&type=code) containing the `∣` symbol and the `to_additive` attribute and fixed the wrongly translated (`dvd` to `addDvd`) names.
TODO: connect (Add)Dvd to [ExistsMul/AddOfLE](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Algebra/Order/Monoid/Unbundled/ExistsOfLE.html#ExistsMulOfLE)
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebra
label:t-algebra$ |
400/191 |
Mathlib.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/List/Lemmas.lean,Mathlib/Algebra/BigOperators/Group/Multiset/Basic.lean,Mathlib/Algebra/Divisibility/Basic.lean,Mathlib/Algebra/Divisibility/Finite.lean,Mathlib/Algebra/Divisibility/Hom.lean,Mathlib/Algebra/Divisibility/Prod.lean,Mathlib/Algebra/Divisibility/Units.lean,Mathlib/Algebra/Group/Action/Pointwise/Finset.lean,Mathlib/Algebra/Group/Prod.lean,Mathlib/Algebra/GroupWithZero/Associated.lean,Mathlib/Algebra/Notation/Defs.lean,Mathlib/Algebra/Prime/Defs.lean,Mathlib/Algebra/Prime/Lemmas.lean,Mathlib/Algebra/Prime/Prod.lean,Mathlib/Data/Nat/Prime/Defs.lean,Mathlib/Dynamics/PeriodicPts/Defs.lean,Mathlib/GroupTheory/Coset/Card.lean,Mathlib/GroupTheory/Exponent.lean,Mathlib/GroupTheory/GroupAction/Blocks.lean,Mathlib/GroupTheory/GroupAction/Period.lean,Mathlib/GroupTheory/Index.lean,Mathlib/GroupTheory/OrderOfElement.lean,Mathlib/GroupTheory/Perm/Cycle/Type.lean,Mathlib/GroupTheory/Schreier.lean,Mathlib/GroupTheory/SpecificGroups/Cyclic.lean,Mathlib/Tactic/ToAdditive/GuessName.lean |
30 |
13 |
['JovanGerb', 'adomani', 'alreadydone', 'bryangingechen', 'github-actions', 'mathlib4-merge-conflict-bot'] |
bryangingechen assignee:bryangingechen |
30-39849 1 month ago |
30-39850 1 month ago |
98-49698 98 days |
| 26484 |
peabrainiac author:peabrainiac |
feat(Geometry/Diffeology): basics of diffeological spaces |
Introduces diffeological spaces, smooth maps between them, the D-topology and the standard diffeology on finite-dimensional normed spaces.
---
This PR continues the work from #21969. |
merge-conflict
t-differential-geometry
|
471/0 |
Mathlib.lean,Mathlib/Geometry/Diffeology/Basic.lean,docs/references.bib |
3 |
11 |
['JovanGerb', 'github-actions', 'grunweg', 'lecopivo', 'mathlib4-merge-conflict-bot', 'peabrainiac'] |
grunweg assignee:grunweg |
30-12029 1 month ago |
30-12030 1 month ago |
138-31722 138 days |
| 28013 |
astrainfinita author:astrainfinita |
feat: Lindemann-Weierstrass Theorem |
This PR continues the work from #6718.
--------
- [x] depends on: #18693
- [ ] depends on: #29121 |
merge-conflict
t-analysis
t-algebra
label:t-algebra$ |
1141/54 |
Mathlib.lean,Mathlib/Algebra/MonoidAlgebra/Basic.lean,Mathlib/Algebra/NoZeroSMulDivisors/Basic.lean,Mathlib/Algebra/Polynomial/Splits.lean,Mathlib/Data/Finsupp/Defs.lean,Mathlib/NumberTheory/Transcendental/Lindemann/AlgebraicPart.lean,Mathlib/NumberTheory/Transcendental/Lindemann/AnalyticalPart.lean,Mathlib/NumberTheory/Transcendental/Lindemann/Basic.lean,Mathlib/RingTheory/MvPolynomial/Symmetric/Eval.lean,docs/100.yaml,docs/1000.yaml |
11 |
n/a |
['astrainfinita', 'github-actions', 'j-loreaux', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
nobody |
26-58162 26 days ago |
unknown |
unknown |
| 26240 |
grunweg author:grunweg |
perf(CommandLinterLinter): use Substring more |
Probably, these changes make little difference, but let's find out.
---
[](https://gitpod.io/from-referrer/)
|
merge-conflict
RFC
t-linter
|
14/15 |
Mathlib/Tactic/Linter/CommandStart.lean |
1 |
6 |
['github-actions', 'leanprover-bot', 'leanprover-community-mathlib4-bot', 'mathlib4-merge-conflict-bot'] |
joneugster assignee:joneugster |
25-6772 25 days ago |
25-6773 25 days ago |
150-52942 150 days |
| 29909 |
Vierkantor author:Vierkantor |
feat(CI): add build output to CI workflows |
This PR uses the Zulip build report script (originally developed for the nightly-regression-report workflow) to add a summary of build output to other Zulip posts about workflow results. This allows us to more easily see the origin of a failure. This requires redoing the script a little to make it a bit more flexible, and the output is slightly reformatted to become consistent across the various workflows (4 of them that post to Zulip).
We don't do so for the nightly-testing failures, since those run in a different workflow, and it would be a lot of work to access the command output from another workflow.
---
[](https://gitpod.io/from-referrer/)
|
merge-conflict
CI
|
93/69 |
.github/workflows/daily.yml,.github/workflows/nightly-docgen.yml,.github/workflows/nightly-regression-report.yml,scripts/zulip_build_report.sh |
4 |
2 |
['github-actions', 'mathlib4-merge-conflict-bot'] |
nobody |
24-72119 24 days ago |
39-35601 1 month ago |
41-48286 41 days |
| 22662 |
plp127 author:plp127 |
feat: Localization.Away.lift (computably) |
This PR adds `Localization.Away.lift'` and `Localization.Away.lift`, computable alternatives to `Localization.awayLift`.
---
- [x] depends on: #24791
[](https://gitpod.io/from-referrer/)
|
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 |
24-22154 24 days ago |
24-22155 24 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.
---
[](https://gitpod.io/from-referrer/)
- [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 |
24-21982 24 days ago |
24-21983 24 days ago |
177-43425 177 days |
| 25974 |
scholzhannah author:scholzhannah |
feat(Topology/Compactness/CompactlyCoherentSpace): compact coherentification (k-ification) |
This PR defines the notion of turning an arbitrary topological space into a compactly coherent space. Compactly coherent spaces are commonly referred to as "compactly generated spaces" or "k-spaces" in the literature while the operation of turning a space into such as space is called the "k-ification". There are however three different notions that are described with this name. To disambiguate we use the names "compactly coherent space" and "compactcoherentification" here. See [this wikipedia page](https://en.wikipedia.org/wiki/Compactly_generated_space) for an explanation of these notions.
This PR continues the work from #25318.
Original PR: https://github.com/leanprover-community/mathlib4/pull/25318
Co-authored-by: Floris van Doorn |
merge-conflict
t-topology
large-import
|
174/5 |
Mathlib/Topology/Compactness/CompactlyCoherentSpace.lean |
1 |
5 |
['github-actions', 'joelriou', 'mathlib4-merge-conflict-bot', 'scholzhannah'] |
ADedecker assignee:ADedecker |
24-21814 24 days ago |
24-21815 24 days ago |
148-47112 148 days |
| 26347 |
mans0954 author:mans0954 |
feat(Data/Finset/RangeDistance): abs_sub_lt_of_mem_finset_range |
This PR continues the work from #23161.
Original PR: https://github.com/leanprover-community/mathlib4/pull/23161 |
merge-conflict
t-data
|
30/0 |
Mathlib.lean,Mathlib/Algebra/Order/Group/Unbundled/Abs.lean,Mathlib/Data/Finset/RangeDistance.lean |
3 |
3 |
['github-actions', 'mans0954', 'mathlib4-merge-conflict-bot'] |
alreadydone assignee:alreadydone |
24-21624 24 days ago |
24-21625 24 days ago |
148-922 148 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`)
---
[](https://gitpod.io/from-referrer/)
|
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 |
24-21460 24 days ago |
24-21461 24 days ago |
133-25807 133 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.
---
[](https://gitpod.io/from-referrer/)
|
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'] |
YaelDillies assignee:YaelDillies |
24-21297 24 days ago |
24-21298 24 days ago |
114-58354 114 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 |
24-21155 24 days ago |
24-21156 24 days ago |
102-43516 102 days |
| 28871 |
JaafarTanoukhi author:JaafarTanoukhi |
feat(Combinatorics/Digraph): Tournaments |
Define orientations and tournaments. Related to #26771.
Co-authored-by: Rida Hamadani
---
[](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 |
24-21002 24 days ago |
24-21003 24 days ago |
86-45080 86 days |
| 29235 |
yoh-tanimoto author:yoh-tanimoto |
feat(Topology/Algebra/Module/ClosedSubmodule): add `mapEquiv`, a variation of `ClosedSubmodule.map` for CLE |
add `ClosedSubmodule.mapEquiv` for continuous linear equivalence. In this case, a closed submodule is mapped to a closed submodule, so the definitions are easier and behave nicely with `closure` and `⊔`.
motivation: needed to define standard subspaces in a Hilbert space (scalar multiplication by `Complex.I`) #29251
https://ems.press/content/serial-article-files/48171
- [x] depends on: #29230 for `Lattice` `CompleteLattice` |
merge-conflict
t-topology
|
69/1 |
Mathlib/Topology/Algebra/Module/ClosedSubmodule.lean |
1 |
3 |
['github-actions', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
fpvandoorn assignee:fpvandoorn |
24-20988 24 days ago |
24-20989 24 days ago |
67-57008 67 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 $(B₁.charpoly_eq.symm.trans B₂.charpoly_eq))
rw [Polynomial.roots_prod, Polynomial.roots_prod] at this; rotate_left
· simp [Finset.prod_ne_zero_iff, Polynomial.X_sub_C_ne_zero]
· simp [Finset.prod_ne_zero_iff, Polynomial.X_sub_C_ne_zero]
simp_rw [Polynomial.roots_X_sub_C, Multiset.bind_singleton] at this
exact ⟨Multiset.equivOfMapUnivEq this, (Multiset.compTriple_equivOfMapUnivEq this).comp_eq.symm⟩
```
Co-authored-by: Aristotle Harmonic
---
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-data
|
35/0 |
Mathlib/Data/Multiset/Fintype.lean |
1 |
9 |
['Ruben-VandeVelde', 'github-actions', 'llllvvuu', 'mathlib4-merge-conflict-bot', 'vihdzp', 'wwylele'] |
pechersky assignee:pechersky |
24-20964 24 days ago |
24-20965 24 days ago |
69-23592 69 days |
| 29610 |
llllvvuu author:llllvvuu |
feat(LinearAlgebra): define LinearMap.Eigenbasis |
Some theorems are left TODO for follow-up work.
The definition is from @eric-wieser ([#Is there code for X? > diagonalizable linear maps @ 💬](https://leanprover.zulipchat.com/#narrow/channel/217875-Is-there-code-for-X.3F/topic/diagonalizable.20linear.20maps/near/539163222)).
Co-authored-by: Aristotle Harmonic
---
- [x] depends on: #29420 (golfs some `[Nontrivial R]` assumptions)
- [x] depends on: #29791
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebra
label:t-algebra$ |
455/5 |
Mathlib.lean,Mathlib/Analysis/InnerProductSpace/Spectrum.lean,Mathlib/LinearAlgebra/Eigenbasis.lean,Mathlib/LinearAlgebra/FreeModule/PID.lean,Mathlib/Order/CompleteLattice/Basic.lean |
5 |
30 |
['github-actions', 'kckennylau', 'llllvvuu', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
joelriou assignee:joelriou |
24-20399 24 days ago |
24-20400 24 days ago |
22-46437 22 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)
---
[](https://gitpod.io/from-referrer/)
|
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 |
24-20368 24 days ago |
24-20369 24 days ago |
55-55764 55 days |
| 29980 |
mans0954 author:mans0954 |
refactor(RingTheory/Polynomial/Resultant/Quadratic): Re-implement QuadraticDiscriminant for R[X] |
Re-implement `Algebra/QuadraticDiscriminant` for polynomials.
[Zulip discussion](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/discriminants.20of.20low.20degree.20polynomials/with/538010519)
---
- [ ] depends on: #29981
[](https://gitpod.io/from-referrer/)
|
merge-conflict |
208/0 |
Mathlib.lean,Mathlib/RingTheory/Polynomial/Resultant/Quadratic.lean |
2 |
4 |
['JovanGerb', 'github-actions', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
JovanGerb assignee:JovanGerb |
24-20361 24 days ago |
24-20362 24 days ago |
41-49356 41 days |
| 30233 |
Komyyy author:Komyyy |
refactor(Topology/Sequences): generalize seq-compactness lemmas to metrizable space |
* [`IsSeqCompact.isCompact`](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Topology/Sequences.html#IsSeqCompact.isCompact)
* [`UniformSpace.isCompact_iff_isSeqCompact`](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Topology/Sequences.html#UniformSpace.isCompact_iff_isSeqCompact)
* [`UniformSpace.compactSpace_iff_seqCompactSpace`](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Topology/Sequences.html#UniformSpace.compactSpace_iff_seqCompactSpace)
These are lemmas on uniform spaces which has countable uniformity, so can be generalized to pseudo-metrizable space.
From [CLT](https://github.com/RemyDegenne/CLT)
---
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-topology
large-import
|
20/7 |
Mathlib/Topology/Sequences.lean,docs/overview.yaml,docs/undergrad.yaml |
3 |
2 |
['github-actions', 'mathlib4-merge-conflict-bot'] |
grunweg assignee:grunweg |
24-20198 24 days ago |
24-20199 24 days ago |
41-80880 41 days |
| 30355 |
kckennylau author:kckennylau |
feat(Logic): graded functions |
This PR defines a class of graded functions, called `GradedFunLike`. It is intended to be used in #30312 to characterise a class of graded ring homomorphisms, where it is invoked as `[GradedFunLike F 𝒜 ℬ] [RingHomClass F A B]`.
---
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-data
|
41/0 |
Mathlib.lean,Mathlib/Data/FunLike/Graded.lean |
2 |
2 |
['github-actions', 'mathlib4-merge-conflict-bot'] |
nobody |
24-20180 24 days ago |
24-20181 24 days ago |
41-25826 41 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
-/
```
---
[](https://gitpod.io/from-referrer/)
|
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 |
24-15389 24 days ago |
24-15390 24 days ago |
11-75498 11 days |
| 26770 |
Jun2M author:Jun2M |
feat(Combinatorics/Graph): subgraph relations on `Graph` |
This PR creates a new file `Combinatorics/Graph/Subgraph.lean`. In it, the PR introduces a partial order on graphs by subgraph relation, defines relations `IsInducedSubgraph`, `IsSpanningSubgraph` and `IsClosedSubgraph`. Further, it introduce operations `EdgeRestrict`, `EdgeDelete`, `induce` and `VertexDelete`.
Co-authored-by: Peter Nelson
---
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-combinatorics
|
375/1 |
Mathlib.lean,Mathlib/Combinatorics/Graph/Basic.lean,Mathlib/Combinatorics/Graph/Subgraph.lean |
3 |
2 |
['github-actions', 'mathlib4-merge-conflict-bot'] |
awainverse assignee:awainverse |
23-80050 23 days ago |
24-21480 24 days ago |
137-36187 137 days |
| 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`.
---
- [x] depends on: #26824
[](https://gitpod.io/from-referrer/)
|
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 |
n/a |
['github-actions', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
nobody |
23-80016 23 days ago |
unknown |
unknown |
| 29281 |
plp127 author:plp127 |
doc: `Fin.natAdd_castLEEmb` |
Change the docstring of `Fin.natAdd_castLEEmb` which confused me when I read it so I rewrote it.
PS. this doesn't really follow the naming convention since data should be in `camelCase`
---
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-data
|
2/3 |
Mathlib/Data/Fin/Embedding.lean |
1 |
2 |
['github-actions', 'mathlib4-merge-conflict-bot'] |
nobody |
23-79826 23 days ago |
83-3325 2 months ago |
18-38918 18 days |
| 30855 |
Ruben-VandeVelde author:Ruben-VandeVelde |
fix: deprecate IsTotal in favour of Std.Total |
---
[](https://gitpod.io/from-referrer/)
|
merge-conflict
RFC
|
208/111 |
Mathlib/Algebra/Group/Basic.lean,Mathlib/Algebra/Order/Archimedean/Class.lean,Mathlib/Algebra/Order/GroupWithZero/Canonical.lean,Mathlib/Algebra/Order/Ring/Canonical.lean,Mathlib/Data/Finset/Sort.lean,Mathlib/Data/List/Sort.lean,Mathlib/Data/Multiset/Sort.lean,Mathlib/Data/Nat/PartENat.lean,Mathlib/Data/Ordmap/Invariants.lean,Mathlib/Data/Ordmap/Ordset.lean,Mathlib/Data/Prod/Basic.lean,Mathlib/Data/Prod/Lex.lean,Mathlib/Data/Real/Basic.lean,Mathlib/Data/Sigma/Lex.lean,Mathlib/Data/Sigma/Order.lean,Mathlib/Data/Sum/Order.lean,Mathlib/Logic/Encodable/Basic.lean,Mathlib/Order/Antisymmetrization.lean,Mathlib/Order/Basic.lean,Mathlib/Order/Comparable.lean,Mathlib/Order/Compare.lean,Mathlib/Order/Defs/Unbundled.lean,Mathlib/Order/Directed.lean,Mathlib/Order/Filter/FilterProduct.lean,Mathlib/Order/Lattice.lean,Mathlib/Order/PropInstances.lean,Mathlib/Order/RelClasses.lean,Mathlib/Order/RelIso/Basic.lean,Mathlib/Order/UpperLower/CompleteLattice.lean,Mathlib/Order/WithBot.lean,Mathlib/RingTheory/Valuation/ValuationRing.lean,Mathlib/RingTheory/Valuation/ValuationSubring.lean,Mathlib/Topology/EMetricSpace/BoundedVariation.lean |
33 |
3 |
['github-actions', 'linesthatinterlace', 'mathlib4-merge-conflict-bot'] |
alexjbest assignee:alexjbest |
22-48957 22 days ago |
25-4621 25 days ago |
24-78190 24 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
---
[](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 |
25 |
['artie2000', 'eric-wieser', 'github-actions', 'j-loreaux', 'kckennylau', 'leanprover-bot', 'leanprover-radar', 'linesthatinterlace', 'mathlib4-merge-conflict-bot', 'pechersky'] |
joelriou assignee:joelriou |
19-2715 19 days ago |
19-2716 19 days ago |
64-44898 64 days |
| 24016 |
plp127 author:plp127 |
feat: fine uniformity |
Adds the fine uniformity, and proves some properties.
---
- [ ] depends on: #24096 for showing the induced topology is equal on completely regular spaces
[](https://gitpod.io/from-referrer/)
|
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 |
18-40383 18 days ago |
18-40384 18 days ago |
2-85349 2 days |
| 26332 |
Timeroot author:Timeroot |
feat(ModelTheory/Definability): TermDefinable functions |
This PR continues the work from #23506.
Original PR: https://github.com/leanprover-community/mathlib4/pull/23506 |
merge-conflict
t-logic
|
145/0 |
Mathlib/Data/Rel.lean,Mathlib/ModelTheory/Definability.lean,scripts/noshake.json |
3 |
37 |
['Timeroot', 'fpvandoorn', 'github-actions', 'mathlib4-merge-conflict-bot', 'staroperator'] |
fpvandoorn assignee:fpvandoorn |
5-8347 5 days ago |
24-21630 24 days ago |
145-80722 145 days |
| 30881 |
FlAmmmmING author:FlAmmmmING |
feat(RingTheory/PowerSeries/Schroder.lean): Define the generating function for large and small Schroder number |
Define the generating function for large and small Schroder number.
Main result : Prove some lemmas and the generating function of large Schroder.
Todo : Prove the generating function of small Schroder.
---
- [ ] depends on: #30609
---
[](https://gitpod.io/from-referrer/)
|
merge-conflict
new-contributor
|
352/1 |
Mathlib.lean,Mathlib/Combinatorics/Enumerative/Catalan.lean,Mathlib/RingTheory/PowerSeries/Schroder.lean |
3 |
4 |
['github-actions', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
dwrensha assignee:dwrensha |
4-64856 4 days ago |
4-64856 4 days ago |
31-78056 31 days |
| 32401 |
ADedecker author:ADedecker |
feat: monotonicity of D^n(U) in n and in U as CLMs |
---
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-analysis
|
177/3 |
Mathlib/Analysis/Distribution/ContDiffMapSupportedIn.lean,Mathlib/Analysis/Distribution/TestFunction.lean |
2 |
n/a |
['ADedecker', 'faenuccio', 'github-actions', 'mathlib4-merge-conflict-bot'] |
nobody |
0-79153 21 hours ago |
unknown |
unknown |
| 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 |
---
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 |
485-12552 1 year ago |
485-12552 1 year ago |
6-38745 6 days |
| 15121 |
Eloitor author:Eloitor |
feat: iff theorems for IsSplitEpi and IsSplitMono in opposite category |
---
[](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 |
467-58696 1 year ago |
499-17955 1 year ago |
7-3203 7 days |
| 14603 |
awueth author:awueth |
feat: degree is invariant under graph isomorphism |
---
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 |
11 |
['awueth', 'github-actions', 'jcommelin', 'kim-em', 'urkud'] |
nobody |
416-77698 1 year ago |
416-77698 1 year ago |
31-44440 31 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
---
[](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 |
327-15833 10 months ago |
327-15833 10 months ago |
69-35596 69 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.
---
[](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 |
296-53840 9 months ago |
296-53840 9 months ago |
13-33168 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.
---
[](https://gitpod.io/from-referrer/)
|
WIP
t-category-theory
t-algebra
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 |
224-22580 7 months ago |
224-22580 7 months ago |
0-0 0 seconds |
| 24008 |
meithecatte author:meithecatte |
chore(EpsilonNFA): replace manual lemmas with @[simps] |
---
[](https://gitpod.io/from-referrer/)
|
awaiting-author
new-contributor
t-computability
|
2/24 |
Mathlib/Computability/EpsilonNFA.lean |
1 |
2 |
['YaelDillies', 'github-actions', 'urkud'] |
nobody |
216-14438 7 months ago |
216-14438 7 months ago |
27-52316 27 days |
| 23929 |
meithecatte author:meithecatte |
feat(Computability/NFA): improve bound on pumping lemma |
---
- [x] depends on: #25321
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-computability
awaiting-zulip
|
101/10 |
Mathlib/Computability/EpsilonNFA.lean,Mathlib/Computability/NFA.lean |
2 |
41 |
['YaelDillies', 'github-actions', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot', 'meithecatte'] |
nobody |
188-64861 6 months ago |
188-64862 6 months ago |
34-10595 34 days |
| 27069 |
FrankieNC author:FrankieNC |
feat(Analysis/MetricSpace/HausdorffDimension): prove dimH of intervals and segments is 1 |
Add theorems `dimH_Icc01` and `dimH_segment` showing that the Hausdorff dimension of the unit interval [0,1] and of any non-degenerate real segment is 1.
The key idea is that the segment is the image of [0,1] under a bi-Lipschitz map. We explicitly construct this map and prove it is both Lipschitz and antilipschitz, allowing us to transfer the dimension result from the unit interval.
---
[](https://gitpod.io/from-referrer/)
|
awaiting-author
t-topology
new-contributor
|
63/0 |
Mathlib/Topology/MetricSpace/HausdorffDimension.lean |
1 |
10 |
['AntoineChambert-Loir', 'FrankieNC', 'github-actions', 'grunweg'] |
nobody |
152-63148 4 months ago |
152-75632 4 months ago |
0-13398 3 hours |
| 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
|
14/0 |
Mathlib/Combinatorics/SimpleGraph/Subgraph.lean |
1 |
3 |
['b-mehta', 'github-actions', 'xcloudyunx'] |
b-mehta assignee:b-mehta |
123-34085 4 months ago |
123-48165 4 months ago |
25-83942 25 days |
| 22925 |
ggranberry author:ggranberry |
feat(Mathlib/PlaceHolder/ToeplitzHausdorff): Toeplitz-Hausdorff |
---
[](https://gitpod.io/from-referrer/)
|
help-wanted
WIP
awaiting-author
t-analysis
new-contributor
will-close-soon
|
411/0 |
Mathlib/PlaceHolder/ToeplitzHausdorff.lean,Mathlib/PlaceHolder/ToeplitzHausdorff_v2.lean |
2 |
11 |
['faenuccio', 'ggranberry', 'github-actions'] |
faenuccio assignee:faenuccio |
122-10209 4 months ago |
122-10412 4 months ago |
4-24257 4 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.
---
[](https://gitpod.io/from-referrer/)
|
awaiting-author
new-contributor
t-data
|
326/0 |
Mathlib/Data/Nat/Choose/AbelBinomial.lean |
1 |
28 |
['ElifUskuplu', 'FrankieNC', 'github-actions', 'iu-isgood'] |
nobody |
111-78917 3 months ago |
135-56814 4 months ago |
0-533 8 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!
[](https://gitpod.io/from-referrer/)
|
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 |
95-50285 3 months ago |
95-81388 3 months ago |
73-43225 73 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
---
[](https://gitpod.io/from-referrer/)
|
awaiting-author
t-differential-geometry
new-contributor
|
36/0 |
Mathlib/Geometry/Manifold/ContMDiff/Defs.lean |
1 |
13 |
['bwangpj', 'girving', 'github-actions', 'grunweg', 'kbuzzard', 'sgouezel'] |
sgouezel assignee:sgouezel |
94-65040 3 months ago |
95-19075 3 months ago |
27-76128 27 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.
---
[](https://gitpod.io/from-referrer/)
|
awaiting-author
t-measure-probability
new-contributor
|
8/0 |
Mathlib/MeasureTheory/Integral/Bochner/Set.lean |
1 |
6 |
['RemyDegenne', 'github-actions', 'sgouezel', 'thefundamentaltheor3m'] |
nobody |
92-80909 3 months ago |
184-2342 6 months ago |
0-11893 3 hours |
| 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 |
79-84387 2 months ago |
91-90 3 months ago |
1-5255 1 day |
| 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
[ ] depends on: #30141
---
[](https://gitpod.io/from-referrer/)
|
t-topology
new-contributor
|
83/1 |
Mathlib/Topology/Baire/NonMeagre.lean,Mathlib/Topology/GDelta/Basic.lean |
2 |
1 |
['github-actions'] |
nobody |
71-56518 2 months ago |
71-56520 2 months ago |
71-56554 71 days |
| 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)
---
[](https://gitpod.io/from-referrer/)
|
awaiting-author
new-contributor
IMO
|
196/0 |
Archive.lean,Archive/Imo/Imo1975Q3.lean |
2 |
36 |
['Antidite', 'LLaurance', 'github-actions', 'jsm28'] |
jsm28 assignee:jsm28 |
69-65177 2 months ago |
69-65177 2 months ago |
46-38383 46 days |
| 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
---
[](https://gitpod.io/from-referrer/)
|
awaiting-author
new-contributor
t-group-theory
|
6/0 |
Mathlib/GroupTheory/GroupAction/CardCommute.lean |
1 |
17 |
['github-actions', 'kckennylau', 'plp127', 'tb65536'] |
tb65536 assignee:tb65536 |
53-84732 1 month ago |
53-84732 1 month ago |
8-8414 8 days |
| 25225 |
xcloudyunx author:xcloudyunx |
feat(Combinatorics/SimpleGraph): Eulerian walk in connected graph contains all vertices |
---
[](https://gitpod.io/from-referrer/)
|
awaiting-author
t-combinatorics
new-contributor
|
16/0 |
Mathlib/Combinatorics/SimpleGraph/Trails.lean |
1 |
6 |
['IvanRenison', 'github-actions', 'vlad902'] |
kmill assignee:kmill |
52-48264 1 month ago |
52-48264 1 month ago |
148-3717 148 days |
| 27817 |
zhuyizheng author:zhuyizheng |
feat: add IMO2025P1 |
Add a solution to IMO2025P1, the original problem statement from https://github.com/jsm28/IMOLean
---
[](https://gitpod.io/from-referrer/)
|
awaiting-author
new-contributor
IMO
|
1310/0 |
Archive.lean,Archive/Imo/Imo2025Q1.lean |
2 |
8 |
['github-actions', 'kim-em', 'mathlib4-merge-conflict-bot', 'zhuyizheng'] |
dwrensha assignee:dwrensha |
51-84074 1 month ago |
52-48778 1 month ago |
65-5080 65 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`).
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-data
|
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 |
50-71696 1 month ago |
50-71775 1 month ago |
50-71818 50 days |
| 30667 |
FrederickPu author:FrederickPu |
Subgroup mul |
Title:
Algebra: pointwise products for subgroups
Description:
showed the point-wise product of disjoint subgroups is equivalent to their Cartesian product
---
[](https://gitpod.io/from-referrer/)
|
awaiting-author
t-algebra
new-contributor
label:t-algebra$ |
47/0 |
Mathlib/Algebra/Group/Subgroup/Pointwise.lean |
1 |
10 |
['FrederickPu', 'eric-wieser', 'github-actions', 'plp127', 'tb65536'] |
nobody |
45-84694 1 month ago |
54-74728 1 month ago |
0-46291 12 hours |
| 28198 |
Sebi-Kumar author:Sebi-Kumar |
feat(Analysis/InnerProductSpace/PiL2): Add instances for EuclideanSpace rank and EuclideanSpace being infinite |
Add an instance for `Fact (Module.finrank 𝕜 (EuclideanSpace 𝕜 (Fin n)) = n)` which is needed to apply [stereographic'](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Geometry/Manifold/Instances/Sphere.html#stereographic') to EuclideanSpace. Also add an instance for `Infinite (EuclideanSpace 𝕜 ι)` where `ι` is a nonempty fintype. I wasn't sure if these should go in separate pull requests, but they seemed similar enough to me. Thank you to Kenny Lau for the suggestions at [#mathlib4 > Instances for EuclideanSpace](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Instances.20for.20EuclideanSpace).
---
To provide additional context, I am new to contributing to Mathlib, and I am doing so 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. My goal is to contribute that the `n`-sphere is simply connected for `n > 1`.
[](https://gitpod.io/from-referrer/)
|
awaiting-author
t-analysis
new-contributor
|
6/0 |
Mathlib/Analysis/InnerProductSpace/PiL2.lean |
1 |
7 |
['Ruben-VandeVelde', 'Sebi-Kumar', 'github-actions', 'kckennylau'] |
urkud assignee:urkud |
40-14192 1 month ago |
40-14192 1 month ago |
82-22614 82 days |
| 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`.
---
---
[](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 |
40-8986 1 month ago |
40-8986 1 month ago |
42-32522 42 days |
| 30158 |
nicolaviolette author:nicolaviolette |
feat: combinatorics simplegraph basic |
---
[](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 |
39-28516 1 month ago |
39-28516 1 month ago |
31-69826 31 days |
| 27229 |
WilliamCoram author:WilliamCoram |
feat(GroupTheory/DoubleCoset): multiple lemmas |
From FLT
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
FLT
t-group-theory
|
88/0 |
Mathlib/GroupTheory/DoubleCoset.lean |
1 |
31 |
['Ruben-VandeVelde', 'WilliamCoram', 'github-actions', 'kim-em', 'mariainesdff', 'mathlib4-merge-conflict-bot'] |
mariainesdff assignee:mariainesdff |
38-83415 1 month ago |
39-74359 1 month ago |
132-26494 132 days |
| 29458 |
LiamSchilling author:LiamSchilling |
feat(MvPolynomial/WeightedHomogenous): relate `weightedTotalDegree` to `degrees` and `degreeOf` |
`weightedTotalDegree` is the most general notion of multivariate degree in mathlib. These theorems show that it specializes to `degrees` and `degreeOf` with specialized weights.
---
[](https://gitpod.io/from-referrer/)
|
awaiting-author
new-contributor
t-ring-theory
|
17/0 |
Mathlib/RingTheory/MvPolynomial/Homogeneous.lean |
1 |
6 |
['LiamSchilling', 'chrisflav', 'github-actions'] |
chrisflav assignee:chrisflav |
30-42232 1 month ago |
81-12773 2 months ago |
14-19311 14 days |
| 31263 |
LiranShaul author:LiranShaul |
feat: arbitrary product of injective modules is injective |
---
[](https://gitpod.io/from-referrer/)
|
awaiting-author
t-algebra
new-contributor
label:t-algebra$ |
15/0 |
Mathlib/Algebra/Module/Injective.lean |
1 |
12 |
['LiranShaul', 'erdOne', 'github-actions', 'joelriou', 'kbuzzard', 'mathlib4-merge-conflict-bot'] |
nobody |
24-4017 24 days ago |
24-10905 24 days ago |
0-21724 6 hours |
| 31590 |
SuccessMoses author:SuccessMoses |
chore: tag `commutatorElement_def` with `simp` |
---
[](https://gitpod.io/from-referrer/)
|
awaiting-author
t-algebra
new-contributor
label:t-algebra$ |
1/0 |
Mathlib/Algebra/Group/Commutator.lean |
1 |
2 |
['github-actions', 'grunweg'] |
nobody |
23-81475 23 days ago |
23-81475 23 days ago |
6-8213 6 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
---
[](https://gitpod.io/from-referrer/)
|
awaiting-author
new-contributor
t-data
|
15/0 |
Mathlib/Data/Finset/Card.lean,Mathlib/Data/Set/Finite/Basic.lean |
2 |
5 |
['Ruben-VandeVelde', 'github-actions'] |
nobody |
23-80167 23 days ago |
165-16990 5 months ago |
13-85893 13 days |
| 26881 |
emo916math author:emo916math |
feat(Analysis/Calculus/Deriv/Star): a formula for `deriv (conj ∘ f ∘ conj)` |
Added a lemma that `deriv (conj ∘ f ∘ conj) = conj ∘ deriv f ∘ conj`, proved by cases on whether the derivative mathematically exists or not. This PR replaces [#26805](https://github.com/leanprover-community/mathlib4/pull/26805); see discussion there.
---
[](https://gitpod.io/from-referrer/)
|
awaiting-author
t-analysis
new-contributor
|
50/2 |
Mathlib/Analysis/Calculus/Deriv/Star.lean |
1 |
15 |
['emo916math', 'github-actions', 'j-loreaux', 'kckennylau'] |
j-loreaux assignee:j-loreaux |
23-80022 23 days ago |
126-79770 4 months ago |
31-70593 31 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.
---
[](https://gitpod.io/from-referrer/)
|
awaiting-author
new-contributor
t-data
|
22/0 |
Mathlib/Data/Rat/Lemmas.lean |
1 |
33 |
['github-actions', 'kim-em', 'mathlib-bors', 'pechersky', 'sinianluoye', 'themathqueen'] |
pechersky assignee:pechersky |
23-79939 23 days ago |
47-39001 1 month ago |
80-3629 80 days |
| 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 |
23-66115 23 days ago |
23-66115 23 days ago |
138-3922 138 days |
| 29434 |
ntapiam author:ntapiam |
feat(NonAssoc/LieAdmissible): prove every ring/algebra is LieAdmissible |
-awaiting-author |
t-algebra
new-contributor
label:t-algebra$ |
27/6 |
Mathlib/Algebra/NonAssoc/LieAdmissible/Defs.lean |
1 |
2 |
['github-actions', 'mathlib4-merge-conflict-bot'] |
nobody |
21-64425 21 days ago |
21-83798 21 days ago |
93-77296 93 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" --allow-empty -m "add Author Name as coauthor"
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
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:
- [ ] depends on: #xyz [optional extra text]
-->
[](https://gitpod.io/from-referrer/)
|
awaiting-author
new-contributor
|
70/1 |
Mathlib/Analysis/LocallyConvex/Separation.lean,Mathlib/Analysis/RCLike/Lemmas.lean,Mathlib/Topology/Order/OrderClosed.lean |
3 |
16 |
['faenuccio', 'fpvandoorn', 'github-actions', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot', 'mcdoll', 'themathqueen', 'yuanyi-350'] |
faenuccio assignee:faenuccio |
21-36492 21 days ago |
21-43936 21 days ago |
21-29486 21 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
---
[](https://gitpod.io/from-referrer/)
|
t-combinatorics
new-contributor
|
209/0 |
Mathlib/Combinatorics/SetFamily/Lindstrom.lean |
1 |
2 |
['github-actions', 'mathlib4-merge-conflict-bot'] |
b-mehta assignee:b-mehta |
21-1864 21 days ago |
21-70695 21 days ago |
54-37700 54 days |
| 31366 |
FaffyWaffles author:FaffyWaffles |
feat(Analysis/SpecialFunctions/StirlingRobbins): Robbins' sharp stepwise bound for stirlingSeq |
Introduces `Mathlib.Analysis.SpecialFunctions.StirlingRobbins`,
proving Robbins' sharp stepwise bound for the Stirling sequence.
* Main theorem: `log_stirlingSeq_diff_le`
* Improves the existing bound `1/(4k^2)` to the sharp `1/(12k(k+1))`
* Adds helper lemmas on summability and geometric bounds
* Complements `Stirling.lean`
References:
- https://leanprover-community.github.io/mathlib4_docs/Mathlib/Analysis/SpecialFunctions/Stirling.html
- Robbins (1955), *A Remark on Stirling’s Formula*
---
**Note for Transparency:** Assistance provided by AI tools (Claude and Aristotle) for drafting, text, and structure.
[](https://gitpod.io/from-referrer/)
|
awaiting-author
t-analysis
new-contributor
|
64/5 |
Mathlib/Analysis/SpecialFunctions/Stirling.lean |
1 |
15 |
['FaffyWaffles', 'github-actions', 'j-loreaux', 'mathlib4-merge-conflict-bot', 'tb65536'] |
nobody |
17-57600 17 days ago |
17-57600 17 days ago |
4-57241 4 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.
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-data
|
23/0 |
Mathlib/Data/EReal/Operations.lean |
1 |
4 |
['JovanGerb', 'LLaurance', 'dobronx1325', 'github-actions'] |
nobody |
17-35906 17 days ago |
24-30629 24 days ago |
24-30664 24 days |
| 31755 |
kaantahti author:kaantahti |
feat(Combinatorics): Add Sperner's Lemma formalization |
Complete formalization of Sperner's Lemma with rigorous proofs:
- Main theorems: strong_sperner (odd count) and sperner (existence)
- 13 fully proven auxiliary lemmas
- 8 documented axioms for simplicial complex API
- ~750 lines, zero sorries
- Addresses issue #25231
This formalization proves both the strong version (odd number of panchromatic faces) and the existence version of Sperner's Lemma. The proof uses induction on dimension with a complete parity argument via boundary counting.
The 8 axioms represent standard results from simplicial complex theory that are currently missing from mathlib4's geometric API. Each axiom is documented with mathematical justification and difficulty rating.
Closes #25231
|
WIP
t-combinatorics
new-contributor
|
7725/0 |
Mathlib.lean,Mathlib/Analysis/Convex/SimplicialComplex/Boundary.lean,Mathlib/Combinatorics/Sperner.lean,PR_COMMENT_DRAFT.md |
4 |
4 |
['LLaurance', 'github-actions', 'mathlib4-merge-conflict-bot'] |
nobody |
16-84193 16 days ago |
16-84193 16 days ago |
8-13311 8 days |
| 32039 |
HugLycan author:HugLycan |
Feat/positivity-zeroness |
---
WIP...
[](https://gitpod.io/from-referrer/)
|
WIP
t-meta
new-contributor
|
528/131 |
Mathlib/Tactic/Positivity/Basic.lean,Mathlib/Tactic/Positivity/Core.lean,Mathlib/Tactic/Positivity/test_Basic.lean |
3 |
2 |
['github-actions'] |
nobody |
16-638 16 days ago |
16-671 16 days ago |
0-16 16 seconds |
| 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 $x + a$.
---
[](https://gitpod.io/from-referrer/)
|
awaiting-author
t-analysis
new-contributor
|
14/0 |
Mathlib/Analysis/Convolution.lean |
1 |
3 |
['github-actions', 'urkud'] |
nobody |
15-22286 15 days ago |
15-22286 15 days ago |
0-82278 22 hours |
| 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.
(1/2) PRs in domain theory, proving that scott topologies over Algebraic DCPOs (`CompletePartialOrder`) are sober.
The main reference is [Reneta, 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)
**The next PR is here:** #31670
[](https://gitpod.io/from-referrer/)
|
awaiting-author
t-topology
new-contributor
|
293/1 |
Mathlib.lean,Mathlib/Topology/Order/ScottTopology.lean,Mathlib/Topology/Order/ScottTopologyDCPO.lean,docs/references.bib |
4 |
37 |
['b-mehta', 'edwin1729', 'github-actions', 'mathlib4-merge-conflict-bot', 'plp127'] |
b-mehta assignee:b-mehta |
15-2307 15 days ago |
15-2307 15 days ago |
12-62657 12 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
---
[](https://gitpod.io/from-referrer/)
|
t-measure-probability
new-contributor
|
21/0 |
Mathlib/Probability/Moments/Basic.lean |
1 |
5 |
['DavidLedvinka', 'github-actions'] |
RemyDegenne assignee:RemyDegenne |
14-52707 14 days ago |
20-25578 20 days ago |
20-25613 20 days |
| 31180 |
CoolRmal author:CoolRmal |
feat(Analysis): a closed convex set is the intersection of countably many half-spaces in a separable Banach space |
This lemma is needed in the proof of conditional Jensen's inequality: #27953
---
[](https://gitpod.io/from-referrer/)
|
awaiting-author
t-analysis
new-contributor
|
69/12 |
Mathlib/Analysis/LocallyConvex/Separation.lean,Mathlib/Topology/Compactness/Lindelof.lean |
2 |
40 |
['ADedecker', 'CoolRmal', 'EtienneC30', 'github-actions', 'j-loreaux', 'mathlib4-merge-conflict-bot'] |
nobody |
13-39667 13 days ago |
15-2299 15 days ago |
3-22471 3 days |
| 32152 |
Lingyin00 author:Lingyin00 |
feat(GroupTheory/SpecificGroups/Cyclic): generalize the proof of prime_card by not assuming Finite |
previously the proof of prime_card assumes `Finite`, which could derived from the premises of `CommGroup` and `IsSimpleGroup`.
This PR adds a theorem of finiteness of commutative simple group, a theorem of `prime_card` which dosen't assume `Finite`, and a theorem of isomorphism from any commutative simple group to `ZMod p`, where `p` is a prime number.
---
[](https://gitpod.io/from-referrer/)
|
awaiting-author
new-contributor
t-group-theory
|
69/4 |
Mathlib/GroupTheory/SpecificGroups/Cyclic.lean |
1 |
39 |
['Lingyin00', 'github-actions', 'jcommelin', 'plp127', 'tb65536'] |
tb65536 assignee:tb65536 |
12-38933 12 days ago |
12-38933 12 days ago |
3-80717 3 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 |
new-contributor
t-data
|
108/2 |
Mathlib/Data/List/Perm/Lattice.lean,Mathlib/Data/List/TakeDrop.lean |
2 |
36 |
['BoltonBailey', 'github-actions', 'kckennylau', 'mathlib4-merge-conflict-bot', 'rudynicolop'] |
TwoFX assignee:TwoFX |
10-51596 10 days ago |
11-48761 11 days ago |
59-48843 59 days |
| 31653 |
ster99 author:ster99 |
feat(MeasureTheory): Foelner filters |
Define a predicate for a filter to be Foelner. Prove that if a measure space with a G-action has a Foelner filter then there is a left-invariant finitely additive probability measure on it (amenability).
Define the maximal Foelner filter and prove that if the maximal Foelner filter is nontrivial, then the amenability condition above holds.
Closes #29213.
---
depends on : #32117.
[](https://gitpod.io/from-referrer/)
|
awaiting-author
new-contributor
|
205/0 |
Mathlib.lean,Mathlib/MeasureTheory/FoelnerFilter.lean |
2 |
39 |
['ADedecker', 'YaelDillies', 'github-actions', 'mathlib4-merge-conflict-bot', 'ster99'] |
nobody |
9-62406 9 days ago |
15-63088 15 days ago |
0-68014 18 hours |
| 32163 |
zhuyizheng author:zhuyizheng |
feat(MeasureTheory): interval integral is absolutely continuous |
The interval integral c..x is absolutely continuous wrt x.
Part of originally planned #29508
---
[](https://gitpod.io/from-referrer/)
|
t-measure-probability
new-contributor
|
98/3 |
Mathlib/MeasureTheory/Function/AbsolutelyContinuous.lean,Mathlib/MeasureTheory/Integral/IntervalIntegral/Basic.lean |
2 |
1 |
['github-actions'] |
urkud assignee:urkud |
9-46119 9 days ago |
16-42752 16 days ago |
16-42784 16 days |
| 32218 |
mkaratarakis author:mkaratarakis |
feat: lemmas about the `House` of an algebraic number |
Lemmas missing for the formalisation of the proof of the Gelfond–Schneider theorem
---
[](https://gitpod.io/from-referrer/)
|
awaiting-author
t-number-theory
new-contributor
|
189/38 |
Mathlib/NumberTheory/NumberField/House.lean |
1 |
17 |
['github-actions', 'jcommelin', 'mkaratarakis'] |
jcommelin assignee:jcommelin |
9-11826 9 days ago |
11-15003 11 days ago |
3-60402 3 days |
| 32159 |
zhuyizheng author:zhuyizheng |
feat(Order): gaps of disjoint intervals |
Define gaps of a finite set of pairwise disjoint closed intervals.
Part of originally planned #29508
---
[](https://gitpod.io/from-referrer/)
|
t-order
new-contributor
|
255/0 |
Mathlib.lean,Mathlib/Algebra/BigOperators/Group/Finset/Gaps.lean,Mathlib/Order/Interval/Finset/Gaps.lean |
3 |
2 |
['github-actions'] |
sgouezel assignee:sgouezel |
8-15310 8 days ago |
8-15382 8 days ago |
16-46807 16 days |
| 30333 |
paulorauber author:paulorauber |
feat(Probability): definition of trajMeasure |
A definition of `trajMeasure` and some basic lemmas.
In the context of the Ionescu-Tulcea theorem, `trajMeasure μ₀ κ` corresponds to the distribution of the trajectory obtained by starting with the distribution `μ₀` and then iterating the kernels `κ`.
Lemmas `partialTraj_compProd_kernel_eq_traj_map` and `traj_map_eq_kernel` are attributable to @EtienneC30 and some definitions borrow code from @RemyDegenne , who also improved the code considerably. Please let me know if you would like to be co-authors in this pull request.
From the LeanBandits project.
---
[](https://gitpod.io/from-referrer/)
|
t-measure-probability
new-contributor
maintainer-merge
|
80/2 |
Mathlib/Order/Interval/Finset/Basic.lean,Mathlib/Order/Interval/Finset/Nat.lean,Mathlib/Probability/Kernel/IonescuTulcea/PartialTraj.lean,Mathlib/Probability/Kernel/IonescuTulcea/Traj.lean |
4 |
28 |
['EtienneC30', 'RemyDegenne', 'github-actions', 'mathlib4-merge-conflict-bot', 'paulorauber'] |
EtienneC30 assignee:EtienneC30 |
8-11727 8 days ago |
8-11727 8 days ago |
15-77412 15 days |
| 31898 |
ntapiam author:ntapiam |
feat(LinearAlgebra/TensorAlgebra): implement HopfAlgebra for TensorAlgebra |
implementation of the natural Hopf algebra structure on the TensorAlgebra |
awaiting-author
new-contributor
t-ring-theory
|
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 |
64 |
['YaelDillies', 'github-actions', 'kckennylau', 'ntapiam'] |
nobody |
7-80663 7 days ago |
20-47476 20 days ago |
0-63895 17 hours |
| 29960 |
yonggyuchoimath author:yonggyuchoimath |
feat(Algebra/Category/Ring): equalizers of pushout maps of tensor product inclusions |
This PR defines a ring map `S →ₗ[R] S ⊗[R] S : s ↦ (s ⊗ₜ[R] 1) - (1 ⊗ₜ[R] s)` for an `R`-algebra `S`, and show that its kernel is exactly (the image of) `R` if `S` is faithfully flat over `R`.
Changes:
* `TensorProduct.AlgebraTensorModule.distribBaseChange`: Origianlly takes `M` and `N`, where `M` is an `R`-module with an additional instance `IsScalarTower R A M`. This is unnecessary, so I changed the `M` and `N` into `N` and `Q`, now both of which are merely modules over `R`.
Main results :
* Add compatibility of `Algebra.TensorProduct.includeLeft` (or `Algebra.TensorProduct.includeRight`) with `TensorProduct.AlgebraTensorModule.distribBaseChange` and `LinearMap.lTensor`
* Define `Algebra.TensorProduct.includeLeftSubRight`, which is the `R`-linear map `S →ₗ[R] S ⊗[R] S` sending `s : S` to `(s ⊗ₜ[R] 1) - (1 ⊗ₜ[R] s)`.
* `Algebra.TensorProduct.exactIncludeLeftSubRight_of_faithfullyFlat`: the pair `algebraMap : R → S` and `includeLeftSubRight R S : S → S ⊗[R] S` is exact if `S` is a faithfully flat `R`-algebra.
---
- [x] depends on: #30806 |
awaiting-author
new-contributor
t-ring-theory
|
227/1 |
Mathlib.lean,Mathlib/LinearAlgebra/TensorProduct/Tower.lean,Mathlib/RingTheory/TensorProduct/IncludeLeftSubRight.lean,Mathlib/RingTheory/TensorProduct/Maps.lean |
4 |
17 |
['erdOne', 'github-actions', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot', 'yonggyuchoimath'] |
PatrickMassot and erdOne assignee:PatrickMassot assignee:erdOne |
7-1588 7 days ago |
7-1588 7 days ago |
54-32574 54 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
- [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)
---
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-dynamics
new-contributor
|
401/0 |
Mathlib.lean,Mathlib/Dynamics/BirkhoffSum/Pointwise.lean |
2 |
14 |
['D-Thomine', 'github-actions', 'leanprover-community-bot-assistant', 'lua-vr', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
urkud assignee:urkud |
24-21457 24 days ago |
24-21458 24 days ago |
91-66923 91 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`.
---
[](https://gitpod.io/from-referrer/)
|
merge-conflict
new-contributor
t-data
|
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 |
480-83861 1 year ago |
486-13703 1 year ago |
54-52408 54 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. |
awaiting-author
please-adopt
merge-conflict
new-contributor
t-data
|
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', 'leanprover-community-mathlib4-bot', 'urkud', 'vihdzp'] |
YaelDillies assignee:YaelDillies |
408-59700 1 year ago |
435-28491 1 year ago |
12-48560 12 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`
---
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 |
402-30266 1 year ago |
402-30266 1 year 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.
---
- [x] depends on: #16800
[](https://gitpod.io/from-referrer/)
|
awaiting-author
merge-conflict
t-logic
new-contributor
|
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 |
399-72787 1 year ago |
399-72787 1 year 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
## 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)
|
awaiting-author
merge-conflict
t-logic
new-contributor
|
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 |
395-25219 1 year ago |
unknown |
unknown |
| 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
---
[](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 |
365-47636 1 year ago |
371-83059 1 year ago |
0-4534 1 hour |
| 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/)
|
awaiting-author
merge-conflict
t-topology
new-contributor
|
27/0 |
Mathlib/Topology/Order/DenselyOrdered.lean |
1 |
8 |
['github-actions', 'vihdzp'] |
nobody |
331-69648 10 months ago |
331-69648 10 months 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 |
awaiting-author
merge-conflict
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 |
331-2334 10 months ago |
331-2334 10 months ago |
9-13962 9 days |
| 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
---
[](https://gitpod.io/from-referrer/)
|
awaiting-author
merge-conflict
new-contributor
t-computability
|
186/0 |
Mathlib.lean,Mathlib/Computability/Timed/InsertionSort.lean,Mathlib/Computability/Timed/Merge.lean |
3 |
2 |
['github-actions', 'trivial1711'] |
nobody |
330-54653 10 months ago |
330-54653 10 months ago |
33-11262 33 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.
---
- [x] depends on: #19810
- [x] depends on: #19811
[](https://gitpod.io/from-referrer/)
|
awaiting-author
merge-conflict
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 |
325-76312 10 months ago |
325-76313 10 months ago |
36-2255 36 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`)
[](https://gitpod.io/from-referrer/)
|
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 |
319-7260 10 months ago |
319-7260 10 months ago |
27-43617 27 days |
| 17176 |
arulandu author:arulandu |
feat: integrals and integrability with .re |
Lemmas for swapping order of .re and integration/integrability.
---
[](https://gitpod.io/from-referrer/)
|
awaiting-author
merge-conflict
t-measure-probability
new-contributor
|
49/0 |
Mathlib/MeasureTheory/Function/L1Space.lean,Mathlib/MeasureTheory/Integral/IntegrableOn.lean,Mathlib/MeasureTheory/Integral/IntervalIntegral.lean,Mathlib/MeasureTheory/Integral/SetIntegral.lean |
4 |
30 |
['EtienneC30', 'arulandu', 'github-actions', 'loefflerd'] |
nobody |
317-68093 10 months ago |
317-68093 10 months ago |
9-73631 9 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
---
[](https://gitpod.io/from-referrer/)
|
awaiting-author
merge-conflict
new-contributor
t-computability
|
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 |
301-85069 9 months ago |
301-85069 9 months ago |
37-29014 37 days |
| 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-category-theory
t-algebra
new-contributor
label:t-algebra$ |
47/8 |
Mathlib/RepresentationTheory/FDRep.lean |
1 |
19 |
['github-actions', 'grhkm21', 'joelriou', 'kim-em', 'mathlib-bors'] |
nobody |
288-7267 9 months ago |
288-7267 9 months ago |
125-12755 125 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.
---
See also branch `meow-sister/BondyChvatal`.
[](https://gitpod.io/from-referrer/) |
awaiting-author
merge-conflict
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 |
274-75507 8 months ago |
274-75507 8 months ago |
29-48368 29 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 |
awaiting-author
merge-conflict
t-analysis
t-measure-probability
new-contributor
|
60/1 |
Mathlib/MeasureTheory/Integral/FundThmCalculus.lean |
1 |
3 |
['github-actions', 'hrmacbeth', 'victorliu5296'] |
nobody |
251-19495 8 months ago |
251-19495 8 months ago |
51-85104 51 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
---
[](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 |
239-62009 7 months ago |
239-62009 7 months ago |
25-60481 25 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`.
---
[](https://gitpod.io/from-referrer/)
|
awaiting-author
please-adopt
merge-conflict
t-algebra
new-contributor
label:t-algebra$ |
78/0 |
Mathlib/LinearAlgebra/UnitaryGroup.lean |
1 |
8 |
['chrisflav', 'jcommelin', 'leanprover-community-bot-assistant'] |
nobody |
189-45132 6 months ago |
189-45134 6 months ago |
9-22007 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/)
|
awaiting-author
merge-conflict
t-meta
new-contributor
|
171/48 |
Mathlib/Tactic/Polyrith.lean,scripts/polyrith_sage.py |
2 |
16 |
['eric-wieser', 'github-actions', 'hanwenzhu', 'kim-em', 'miguelmarco', 'mkoeppe'] |
nobody |
182-37685 5 months ago |
302-15647 9 months ago |
27-65384 27 days |
| 10541 |
Louddy author:Louddy |
feat(Algebra/SkewMonoidAlgebra/Basic): add SkewMonoidAlgebra |
# Skew Monoid algebras
This file presents a skewed version of `Mathlib.Algebra.MonoidAlgebra.Basic`.
## Definition
We define `SkewMonoidAlgebra k G := G →₀ k` attached with a skewed convolution product.
Here, the product of two elements `f g : SkewMonoidAlgebra k G` is the finitely supported
function whose value at `a` is the sum of `f x * (x • g y)` over all pairs `x, y`
such that `x * y = a`.
This will be used in a later PR to define skew polynomial rings.
Co-authored-by: María Inés de Frutos Fernández <[mariaines.dff@gmail.com](mailto:mariaines.dff@gmail.com)>
---
- [x] depends on: #15878
- [x] depends on: #19084
- [x] depends on: #22078
[](https://gitpod.io/from-referrer/)
|
WIP
merge-conflict
t-algebra
new-contributor
label:t-algebra$ |
1624/0 |
Mathlib.lean,Mathlib/Algebra/Group/InjSurj.lean,Mathlib/Algebra/SkewMonoidAlgebra/Basic.lean,Mathlib/Algebra/SkewMonoidAlgebra/Lift.lean |
4 |
105 |
['AntoineChambert-Loir', 'Louddy', 'YaelDillies', 'eric-wieser', 'fpvandoorn', 'github-actions', 'mariainesdff', 'mathlib4-dependent-issues-bot', 'mattrobball'] |
AntoineChambert-Loir assignee:AntoineChambert-Loir |
157-3524 5 months ago |
157-3526 5 months ago |
179-12934 179 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`
---
[](https://gitpod.io/from-referrer/)
|
WIP
merge-conflict
t-category-theory
new-contributor
t-algebraic-topology
|
720/0 |
Mathlib.lean,Mathlib/AlgebraicTopology/AugmentedSimplexCategory.lean,Mathlib/AlgebraicTopology/SimplicialObject.lean,Mathlib/Order/Category/FinLinOrd.lean |
4 |
5 |
['TwoFX', 'YaelDillies', 'joelriou', 'jstoobysmith'] |
nobody |
135-6586 4 months ago |
135-6586 4 months ago |
7-63215 7 days |
| 18646 |
jxjwan author:jxjwan |
feat(RingTheory): isotypic components |
---
[](https://gitpod.io/from-referrer/)
|
merge-conflict
new-contributor
t-ring-theory
|
308/0 |
Mathlib/Order/CompactlyGenerated/Basic.lean,Mathlib/RingTheory/Isotypic.lean,Mathlib/RingTheory/SimpleModule.lean |
3 |
1 |
['github-actions'] |
nobody |
130-14798 4 months ago |
130-14798 4 months ago |
20-16585 20 days |
| 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.
--- |
good first issue
modifies-tactic-syntax
please-adopt
merge-conflict
t-meta
new-contributor
|
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 |
120-15597 3 months ago |
120-25353 3 months ago |
22-16933 22 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.
---
[](https://gitpod.io/from-referrer/)
|
awaiting-author
merge-conflict
t-measure-probability
new-contributor
|
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 |
63-74482 2 months ago |
66-552 2 months ago |
1-21124 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
---
[](https://gitpod.io/from-referrer/)
|
awaiting-author
merge-conflict
new-contributor
t-computability
awaiting-zulip
|
307/5 |
Mathlib/Computability/NFA.lean |
1 |
27 |
['TpmKranz', 'YaelDillies', 'dupuisf', 'github-actions', 'leanprover-community-bot-assistant', 'meithecatte', 'rudynicolop'] |
nobody |
25-55307 25 days ago |
207-77866 6 months 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
---
- [x] depends on: #15647 [Data.FinEnum.Option unchanged since then]
[](https://gitpod.io/from-referrer/)
|
awaiting-author
merge-conflict
new-contributor
t-computability
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 |
24-71548 24 days ago |
24-71549 24 days ago |
23-54870 23 days |
| 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.
[](https://gitpod.io/from-referrer/)
|
awaiting-author
merge-conflict
new-contributor
t-computability
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'] |
EtienneC30 assignee:EtienneC30 |
24-70638 24 days ago |
24-70639 24 days ago |
48-67492 48 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.
[](https://gitpod.io/from-referrer/)
|
help-wanted
WIP
merge-conflict
t-analysis
new-contributor
|
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 |
24-23005 24 days ago |
24-23005 24 days ago |
0-0 0 seconds |
| 13442 |
dignissimus author:dignissimus |
feat: mabel tactic for multiplicative abelian groups |
Mabel tactic for multiplicative abelian groups (#10361)
---
[](https://gitpod.io/from-referrer/)
|
help-wanted
awaiting-author
modifies-tactic-syntax
merge-conflict
t-meta
new-contributor
|
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 |
24-22741 24 days ago |
24-22742 24 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.
---
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/)
|
awaiting-author
merge-conflict
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 |
24-22739 24 days ago |
24-22740 24 days ago |
26-39463 26 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.
---
[](https://gitpod.io/from-referrer/)
|
awaiting-author
merge-conflict
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 |
24-22610 24 days ago |
24-22611 24 days ago |
1-48443 1 day |
| 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.
---
[](https://gitpod.io/from-referrer/)
|
WIP
merge-conflict
new-contributor
t-algebraic-topology
|
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 |
23-80616 23 days ago |
135-6630 4 months ago |
1-20125 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)
---
[](https://gitpod.io/from-referrer/)
|
awaiting-author
merge-conflict
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 |
23-80463 23 days ago |
286-77978 9 months ago |
15-40648 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.
---
[](https://gitpod.io/from-referrer/)
|
WIP
merge-conflict
t-meta
new-contributor
|
34/4 |
Mathlib/Tactic/Simps/Basic.lean |
1 |
11 |
['FrederickPu', 'YaelDillies', 'fpvandoorn', 'github-actions', 'leanprover-community-bot-assistant'] |
nobody |
23-80400 23 days ago |
140-61872 4 months ago |
0-34081 9 hours |
| 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.
---
[](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 |
282-79681 9 months ago |
282-79681 9 months ago |
16-76141 16 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
---
[](https://gitpod.io/from-referrer/)
|
enhancement
awaiting-author
merge-conflict
new-contributor
t-data
|
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 |
n/a |
['chrisflav', 'eric-wieser', 'github-actions', 'j-loreaux', 'markimunro'] |
nobody |
256-24506 8 months ago |
unknown |
unknown |
| 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
[](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 |
248-1683 8 months ago |
248-1684 8 months ago |
58-20339 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.
[](https://gitpod.io/from-referrer/)
|
awaiting-author
merge-conflict
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 |
247-4411 8 months ago |
247-4411 8 months ago |
55-53553 55 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
---
[](https://gitpod.io/from-referrer/)
|
awaiting-author
merge-conflict
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 |
239-58141 7 months ago |
239-58141 7 months ago |
13-60072 13 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.
---
- [ ] depends on: #22890
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-topology
new-contributor
large-import
|
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 |
199-73179 6 months ago |
199-73181 6 months ago |
35-30364 35 days |
| 25218 |
kckennylau author:kckennylau |
feat(AlgebraicGeometry): Tate normal form of elliptic curves |
---
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebraic-geometry
new-contributor
awaiting-zulip
|
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 |
161-34446 5 months ago |
161-34447 5 months ago |
6-51040 6 days |
| 25283 |
Brian-Nugent author:Brian-Nugent |
feat: regular local rings |
Adds regular local rings and proves they are integral domains.
---
- [ ] depends on: #25280
- [ ] depends on: #25282
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebra
new-contributor
label:t-algebra$ |
871/0 |
.vscode/settings.json,Mathlib.lean,Mathlib/RingTheory/EmbeddingDimension.lean,Mathlib/RingTheory/LocalRingDimension.lean,Mathlib/RingTheory/RegularLocalRing.lean |
5 |
6 |
['Brian-Nugent', 'github-actions', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot', 'yuanyi-350'] |
nobody |
161-34442 5 months ago |
161-34442 5 months ago |
11-84822 11 days |
| 25485 |
VTrelat author:VTrelat |
feat(SetTheory/ZFC/Naturals): define natural numbers in ZFC |
Extend the model of ZFC with naturals:
- define a set `Nat` of naturals following the usual construction (∅, {∅}, {∅, {∅}}, ...)
- define a proper type `ZFNat` representing naturals
- add theorems on usual algebraic properties of naturals
- provide a recursor and induction schemes to define/prove by induction
---
[](https://gitpod.io/from-referrer/)
- [ ] depend on: #25483
|
merge-conflict
new-contributor
t-set-theory
|
2095/0 |
Mathlib/Data/Set/Prod.lean,Mathlib/SetTheory/ZFC/Basic.lean,Mathlib/SetTheory/ZFC/Booleans.lean,Mathlib/SetTheory/ZFC/Naturals.lean |
4 |
2 |
['github-actions', 'leanprover-community-bot-assistant'] |
nobody |
131-12807 4 months ago |
131-12807 4 months ago |
29-51653 29 days |
| 25238 |
Hagb author:Hagb |
feat(Tactic/ComputeDegree): add support for scalar multiplication with different types |
It would be able to deal with `a • (X : R[X])` where `a : S` is in a different type `S` with `[SMulZeroClass S R]`.
---
- [x] depends on: #25237
[](https://gitpod.io/from-referrer/)
|
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 |
131-12777 4 months ago |
131-12777 4 months ago |
38-26044 38 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.
---
[](https://gitpod.io/from-referrer/)
|
awaiting-author
merge-conflict
t-number-theory
new-contributor
large-import
|
29/0 |
Mathlib/Analysis/Asymptotics/SpecificAsymptotics.lean |
1 |
3 |
['b-mehta', 'github-actions', 'mathlib4-merge-conflict-bot'] |
b-mehta assignee:b-mehta |
125-18339 4 months ago |
125-18339 4 months ago |
9-59130 9 days |
| 25483 |
VTrelat author:VTrelat |
chore(Data/Set/Prod, SetTheory/ZFC/Basic): add theorem prod_subset_of_prod and extend ZFC model |
Required by @eric-wieser in #24281
---
[](https://gitpod.io/from-referrer/)
|
merge-conflict
new-contributor
t-data
|
103/0 |
Mathlib/Data/Set/Prod.lean,Mathlib/SetTheory/ZFC/Basic.lean |
2 |
10 |
['Ruben-VandeVelde', 'VTrelat', 'github-actions', 'leanprover-community-bot-assistant'] |
nobody |
122-129 4 months ago |
161-34436 5 months ago |
29-56208 29 days |
| 28150 |
Equilibris author:Equilibris |
chore: clean up proofs typevec proofs |
While adding variable universe corecs I found a lot of theorems in typevec that could do with a bit of a clean-up
---
[](https://gitpod.io/from-referrer/)
|
merge-conflict
new-contributor
t-data
|
24/26 |
Mathlib/Data/TypeVec.lean |
1 |
7 |
['Equilibris', 'alexkeizer', 'github-actions', 'mathlib4-merge-conflict-bot'] |
nobody |
112-51604 3 months ago |
112-51605 3 months ago |
13-49738 13 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)
---
[](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 |
112-30924 3 months ago |
135-6846 4 months 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 |
111-79156 3 months ago |
135-6847 4 months ago |
7-62439 7 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 |
94-85187 3 months ago |
94-85188 3 months ago |
21-3001 21 days |
| 29092 |
zhuyizheng author:zhuyizheng |
feat(MeasureTheory): add absolutely continuous functions, FTC and integration by parts |
Add the ε-δ definition of absolutely continuous functions on a closed interval in ℝ. Prove Fundamental Theorem of Calculus and integration by parts for absolutely continuous functions.
---
[](https://gitpod.io/from-referrer/)
|
awaiting-author
merge-conflict
t-measure-probability
new-contributor
|
1376/0 |
Mathlib.lean,Mathlib/Analysis/Calculus/Deriv/Slope.lean,Mathlib/MeasureTheory/Function/AbsolutelyContinuous.lean,Mathlib/MeasureTheory/Integral/IntervalIntegral/AbsContFunc.lean,Mathlib/MeasureTheory/Integral/IntervalIntegral/DerivIntegrable.lean,Mathlib/MeasureTheory/Integral/IntervalIntegral/LebesgueDifferetiationThm.lean,Mathlib/Topology/EMetricSpace/BoundedVariation.lean |
7 |
6 |
['Ruben-VandeVelde', 'fpvandoorn', 'github-actions', 'grunweg', 'mathlib4-merge-conflict-bot'] |
nobody |
75-57286 2 months ago |
75-57287 2 months ago |
0-24361 6 hours |
| 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.
---
[](https://gitpod.io/from-referrer/)
|
awaiting-author
merge-conflict
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 |
75-13031 2 months ago |
161-32137 5 months ago |
0-47665 13 hours |
| 22657 |
Xmask19 author:Xmask19 |
feat: a graph is maximally acyclic iff it is a tree |
---
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-combinatorics
new-contributor
|
86/0 |
Mathlib/Combinatorics/SimpleGraph/Acyclic.lean |
1 |
7 |
['Rida-Hamadani', 'b-mehta', 'github-actions', 'grunweg', 'mathlib4-merge-conflict-bot'] |
b-mehta assignee:b-mehta |
62-54670 2 months ago |
62-54671 2 months ago |
208-19611 208 days |
| 28126 |
Sebi-Kumar author:Sebi-Kumar |
feat(AlgebraicTopology/FundamentalGroupoid): relate equality in fundamental groupoid to homotopy |
Prove the theorem `fromPath_eq_iff_homotopic` which shows that two paths are equal in the fundamental groupoid if and only if they are homotopic. Also add simp lemmas `fromPath_refl`, `fromPath_symm`, and `fromPath_trans`. Together, these allow one to prove two paths are homotopic by transferring to the fundamental groupoid and using the `aesop_cat` tactic.
---
I would like to thank Kenny Lau for inspiring this code on Zulip at [#Is there code for X? > Using aesop_cat to prove paths are homotopic](https://leanprover.zulipchat.com/#narrow/channel/217875-Is-there-code-for-X.3F/topic/Using.20aesop_cat.20to.20prove.20paths.20are.20homotopic).
Also, I would like to note that I am a newcomer when it comes to contributing to Mathlib, and that this code was written as a part of a formalization project at the University of Western Ontario under the supervision of Chris Kapulkin and Daniel Carranza (which is happening through the Fields Undergraduate Summer Research Program).
- [ ] depends on: #28234
[](https://gitpod.io/from-referrer/)
|
awaiting-author
merge-conflict
new-contributor
t-algebraic-topology
|
121/141 |
Mathlib/AlgebraicTopology/FundamentalGroupoid/Basic.lean,Mathlib/AlgebraicTopology/FundamentalGroupoid/FundamentalGroup.lean,Mathlib/AlgebraicTopology/FundamentalGroupoid/InducedMaps.lean,Mathlib/AlgebraicTopology/FundamentalGroupoid/SimplyConnected.lean,Mathlib/CategoryTheory/Groupoid.lean,Mathlib/Topology/Covering.lean,Mathlib/Topology/Homotopy/HomotopyGroup.lean,Mathlib/Topology/Homotopy/Product.lean |
8 |
11 |
['Sebi-Kumar', 'alreadydone', 'github-actions', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot', 'mattrobball'] |
mattrobball assignee:mattrobball |
55-68814 1 month ago |
55-68815 1 month ago |
14-30316 14 days |
| 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/)
|
awaiting-author
merge-conflict
t-number-theory
new-contributor
large-import
|
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 |
46-17735 1 month ago |
46-17735 1 month ago |
53-41880 53 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
---
[](https://gitpod.io/from-referrer/)
|
awaiting-author
merge-conflict
t-topology
new-contributor
file-removed
|
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 |
46-9465 1 month ago |
46-9466 1 month ago |
0-2409 40 minutes |
| 22361 |
rudynicolop author:rudynicolop |
feat(Computability/NFA): nfa closure properties |
Add the closure properties union, intersection and reversal for NFA.
---
[](https://gitpod.io/from-referrer/)
|
awaiting-author
merge-conflict
new-contributor
t-computability
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'] |
EtienneC30 assignee:EtienneC30 |
39-36991 1 month ago |
207-76941 6 months ago |
39-67601 39 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-author
merge-conflict
t-meta
awaiting-CI
new-contributor
|
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 |
36-75184 1 month ago |
36-75185 1 month 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`
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-meta
t-category-theory
new-contributor
awaiting-zulip
large-import
|
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 |
30-38175 1 month ago |
30-38175 1 month ago |
1-18384 1 day |
| 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.
---
- [x] depends on: #20644
- [x] depends on: #20645
[](https://gitpod.io/from-referrer/)
|
merge-conflict
new-contributor
t-computability
awaiting-zulip
|
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 |
24-22316 24 days ago |
24-22317 24 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`.
---
[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-CI
t-algebra
new-contributor
large-import
label:t-algebra$ |
169/0 |
Mathlib/Algebra/Free.lean |
1 |
12 |
['YaelDillies', 'github-actions', 'mathlib4-merge-conflict-bot'] |
nobody |
24-22176 24 days ago |
24-22177 24 days ago |
51-9403 51 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
---
[](https://gitpod.io/from-referrer/)
|
awaiting-author
merge-conflict
new-contributor
t-computability
|
70/0 |
Mathlib.lean,Mathlib/Computability/PDA.lean |
2 |
35 |
['YaelDillies', 'github-actions', 'madvorak', 'mathlib4-merge-conflict-bot', 'shetzl'] |
nobody |
24-22170 24 days ago |
24-22171 24 days ago |
20-81771 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.
---
[](https://gitpod.io/from-referrer/)
|
awaiting-author
merge-conflict
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 |
24-22161 24 days ago |
24-22162 24 days ago |
0-1528 25 minutes |
| 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
---
[](https://gitpod.io/from-referrer/)
|
awaiting-author
merge-conflict
new-contributor
t-computability
|
383/0 |
Mathlib.lean,Mathlib/Computability/LeftmostDerivation.lean |
2 |
55 |
['YaelDillies', 'github-actions', 'madvorak', 'mathlib4-merge-conflict-bot', 'shetzl'] |
YaelDillies assignee:YaelDillies |
24-22159 24 days ago |
24-22160 24 days ago |
72-3718 72 days |
| 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. |
awaiting-author
merge-conflict
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 |
24-22148 24 days ago |
24-22149 24 days ago |
30-77130 30 days |
| 24333 |
xcloudyunx author:xcloudyunx |
feat(Combinatorics/SimpleGraph): cycle graph implementation for generic vertex types |
The existing `cycleGraph` implementation under Combinatorics/SimpleGraph/Circulant.lean only operates over `Fin n`. This PR implements a cycle graph implementation over any generic vertex type.
---
[](https://gitpod.io/from-referrer/)
|
awaiting-author
merge-conflict
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 |
24-21995 24 days ago |
24-21996 24 days ago |
123-22718 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.
|
awaiting-author
merge-conflict
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 |
24-21846 24 days ago |
24-21847 24 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
awaiting-author
merge-conflict
t-analysis
new-contributor
|
468/0 |
Mathlib.lean,Mathlib/Analysis/Calculus/FDeriv/Partial.lean,Mathlib/Analysis/Normed/Operator/BoundedLinearMaps.lean |
3 |
21 |
['YaelDillies', 'agjftucker', 'github-actions', 'igorkhavkine', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot', 'sgouezel'] |
sgouezel assignee:sgouezel |
24-21634 24 days ago |
24-21635 24 days ago |
50-22679 50 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.
|
awaiting-author
merge-conflict
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 |
24-21486 24 days ago |
24-21487 24 days ago |
25-6199 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
---
[](https://gitpod.io/from-referrer/)
|
awaiting-author
merge-conflict
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 |
24-21481 24 days ago |
24-21482 24 days ago |
62-83085 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.
---
[](https://gitpod.io/from-referrer/)
|
awaiting-author
merge-conflict
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 |
24-21444 24 days ago |
24-21445 24 days ago |
39-17587 39 days |
| 27245 |
rirarika author:rirarika |
feat: multivariate polynomial ring properties about irreducibility |
---
[](https://gitpod.io/from-referrer/)
|
awaiting-author
merge-conflict
t-algebra
new-contributor
label:t-algebra$ |
88/0 |
Mathlib.lean,Mathlib/Algebra/MvPolynomial/Irreducible.lean |
2 |
6 |
['alreadydone', 'github-actions', 'mathlib4-merge-conflict-bot', 'mbkybky'] |
alreadydone assignee:alreadydone |
24-21438 24 days ago |
24-21439 24 days ago |
109-22535 109 days |
| 27261 |
Sebi-Kumar author:Sebi-Kumar |
feat(Topology): add definition for subpaths |
Define subpaths as restrictions of paths to subintervals, reparameterized to have domain
`[0, 1]` and possibly with a reverse of direction. Prove their basic properties.
This serves as an alternative to `Path.truncate` which is useful for the explicit construction of certain homotopies, in particular regarding the concatenation of subpaths.
---
To provide additional context, this is my first time contributing to Mathlib,
and I am doing so as a part of the Fields Undergraduate Summer Research Program
hosted at Western University.
My intention for this file is for it to be used when proving that the fundamental group of the sphere is trivial (following the proof from Hatcher's "Algebraic Topology").
[](https://gitpod.io/from-referrer/)
|
awaiting-author
merge-conflict
t-topology
new-contributor
|
146/0 |
Mathlib.lean,Mathlib/Topology/Subpath.lean |
2 |
25 |
['ADedecker', 'FrankieNC', 'Sebi-Kumar', 'github-actions', 'mathlib4-merge-conflict-bot', 'themathqueen', 'wwylele'] |
ADedecker assignee:ADedecker |
24-21314 24 days ago |
24-21315 24 days ago |
34-15767 34 days |
| 27753 |
YunkaiZhang233 author:YunkaiZhang233 |
feat(CategoryTheory): implemented proofs for factorisation categories being equivalent to iterated comma categories in two ways |
---
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/)
|
awaiting-author
merge-conflict
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 |
24-21289 24 days ago |
24-21290 24 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.
---
[](https://gitpod.io/from-referrer/)
|
awaiting-author
merge-conflict
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 |
24-21287 24 days ago |
24-21288 24 days ago |
0-6418 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 |
24-21155 24 days ago |
24-21156 24 days ago |
102-43516 102 days |
| 28871 |
JaafarTanoukhi author:JaafarTanoukhi |
feat(Combinatorics/Digraph): Tournaments |
Define orientations and tournaments. Related to #26771.
Co-authored-by: Rida Hamadani
---
[](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 |
24-21002 24 days ago |
24-21003 24 days ago |
86-45080 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)
---
[](https://gitpod.io/from-referrer/)
|
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 |
24-20368 24 days ago |
24-20369 24 days ago |
55-55764 55 days |
| 30121 |
idontgetoutmuch author:idontgetoutmuch |
Principal fiber bundle core |
A structure capturing what it means to be a principal fibre bundle.
---
[](https://gitpod.io/from-referrer/)
|
awaiting-author
merge-conflict
t-differential-geometry
new-contributor
|
227/0 |
Mathlib.lean,Mathlib/Geometry/Manifold/PrincipalFiberBundle/PrincipalGBundle.lean |
2 |
6 |
['github-actions', 'grunweg', 'mathlib4-merge-conflict-bot'] |
hrmacbeth assignee:hrmacbeth |
24-20335 24 days ago |
24-20336 24 days ago |
25-22983 25 days |
| 31102 |
JOSHCLUNE author:JOSHCLUNE |
Require LeanHammer |
Experimenting with adding LeanHammer as a mathlib dependency
---
[](https://gitpod.io/from-referrer/)
|
merge-conflict
new-contributor
|
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 |
24-19825 24 days ago |
24-19826 24 days ago |
19-46677 19 days |
| 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".
---
- [x] depends on: #21281
[](https://gitpod.io/from-referrer/)
|
WIP
awaiting-author
merge-conflict
t-category-theory
new-contributor
|
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 |
23-80373 23 days ago |
291-51341 9 months 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 $F$.
---
[](https://gitpod.io/from-referrer/)
|
awaiting-author
merge-conflict
t-category-theory
new-contributor
|
33/0 |
Mathlib/CategoryTheory/Limits/Types/Colimits.lean |
1 |
5 |
['github-actions', 'joelriou', 'leanprover-community-bot-assistant', 'robertmaxton42'] |
nobody |
23-80256 23 days ago |
157-42259 5 months ago |
8-28043 8 days |
| 26156 |
oliver-butterley author:oliver-butterley |
feat(MeasureTheory.VectorMeasure): add a definition of total variation for VectorMeasure |
This PR adds variation for any `VectorMeasure` using a supremum definition. Currently mathlib has `TotalVariation` defined for a signed measure using the Hahn-Jordan decomposition, but this doesn't generalise.
Motivation: generally this is an important concept but specifically as a step for proving RMK in the complex case which in turn is a step to prove the spectral theorem.
Co-authored-by: @yoh-tanimoto
This PR was migrated from #25442. PR divided into smaller pieces, this is just the definition without additional lemmas. PRs adding further results related to variation are:
* #26160
* #26165
* #26168 (shows that for `SignedMeasures` the two definitions of variation coincide)
---
[](https://gitpod.io/from-referrer/)
|
awaiting-author
merge-conflict
t-measure-probability
new-contributor
|
358/0 |
Mathlib.lean,Mathlib/MeasureTheory/VectorMeasure/Variation/Defs.lean |
2 |
33 |
['EtienneC30', 'github-actions', 'mathlib4-merge-conflict-bot', 'yoh-tanimoto'] |
EtienneC30 assignee:EtienneC30 |
23-80105 23 days ago |
24-21662 24 days ago |
42-9361 42 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
awaiting-author
merge-conflict
t-combinatorics
new-contributor
|
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 |
23-79918 23 days ago |
23-79918 23 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.
---
[](https://gitpod.io/from-referrer/)
|
merge-conflict
new-contributor
t-ring-theory
|
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 |
23-79807 23 days ago |
89-37137 2 months ago |
3-7974 3 days |
| 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).
---
[](https://gitpod.io/from-referrer/)
|
awaiting-author
merge-conflict
t-topology
new-contributor
|
115/22 |
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 |
19 |
['CoolRmal', 'github-actions', 'mathlib4-merge-conflict-bot', 'ocfnash', 'sgouezel'] |
ocfnash assignee:ocfnash |
14-68388 14 days ago |
14-68389 14 days ago |
8-15568 8 days |
| 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. |
awaiting-author
merge-conflict
t-combinatorics
new-contributor
|
113/0 |
Mathlib.lean,Mathlib/Combinatorics/Enumerative/Polya.lean |
2 |
8 |
['IvanRenison', 'alreadydone', 'github-actions', 'mathlib4-merge-conflict-bot'] |
awainverse assignee:awainverse |
7-67425 7 days ago |
7-67425 7 days ago |
40-50241 40 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.
[](https://gitpod.io/from-referrer/)
|
awaiting-author
merge-conflict
new-contributor
t-data
|
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 |
7-62903 7 days ago |
24-21993 24 days ago |
29-59355 29 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
---
[](https://gitpod.io/from-referrer/)
|
blocked-by-other-PR
merge-conflict
t-algebra
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 |
444-69755 1 year ago |
444-69755 1 year ago |
0-0 0 seconds |
| 16887 |
metinersin author:metinersin |
feat(ModelTheory/Complexity): define conjunctive and disjunctive formulas |
Defines `FirstOrder.Language.BoundedFormula.IsConjunctive` and `FirstOrder.Language.BoundedFormula.IsDisjunctive`.
---
- [ ] depends on: #16885
[](https://gitpod.io/from-referrer/)
|
blocked-by-other-PR
merge-conflict
t-logic
new-contributor
|
300/7 |
Mathlib/ModelTheory/Complexity.lean,Mathlib/ModelTheory/Equivalence.lean,Mathlib/ModelTheory/Syntax.lean |
3 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
436-65733 1 year ago |
436-65734 1 year 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`.
---
- [ ] depends on: #16887
[](https://gitpod.io/from-referrer/)
|
blocked-by-other-PR
merge-conflict
t-logic
new-contributor
|
415/7 |
Mathlib/ModelTheory/Complexity.lean,Mathlib/ModelTheory/Equivalence.lean,Mathlib/ModelTheory/Syntax.lean |
3 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
436-65733 1 year ago |
436-65733 1 year 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.
---
- [ ] depends on: #16888
[](https://gitpod.io/from-referrer/)
|
blocked-by-other-PR
merge-conflict
t-logic
new-contributor
|
525/7 |
Mathlib/ModelTheory/Complexity.lean,Mathlib/ModelTheory/Equivalence.lean,Mathlib/ModelTheory/Syntax.lean |
3 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
436-65732 1 year ago |
436-65732 1 year ago |
0-613 10 minutes |
| 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`.
- [ ] depends on: #12751
[](https://gitpod.io/from-referrer/)
|
blocked-by-other-PR
awaiting-author
merge-conflict
new-contributor
t-data
|
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 |
419-1990 1 year ago |
419-1990 1 year ago |
6-8380 6 days |
| 11156 |
smorel394 author:smorel394 |
feat(LinearAlgebra/{TensorProductBasis,Dual}): basis and dual of `PiTensorProduct` |
Construct a basis of a `PiTensorProduct` of modules given bases of the modules, and relationship between the dual of a `PiTensorProduct` and the `PiTensorProduct` of the duals.
Main results:
* `Basis.piTensorProduct` (in `LinearAlgebra/TensorProductBasis.lean`): Let `ι` be a `Fintype` and `M` be a family of modules indexed by `ι`. If `b i : κ i → M i` is a basis for every `i` in `ι`, then `fun (p : Π i, κ i) ↦ ⨂ₜ[R] i, b i (p i)` is a basis of `⨂[R] i, M i`.
* `PiTensorProduct.dualDistrib` (in `LinearAlgebra/Dual.lean`): The canonical linear map from `⨂[R] i, Dual R (M i)` to `Dual R (⨂[R] i, M i)`, sending `⨂ₜ[R] i, f i` to the composition of `PiTensorProduct.map f` with the linear equivalence `⨂[R] i, R →ₗ R` given by multiplication.
* `PiTensorProduct.dualDistribEquiv` (also in `LinearAlgebra/Dual.lean`): A linear equivalence between `⨂[R] i, Dual R (M i)` and `Dual R (⨂[R] i, M i)` when all `M i` are finite free modules. If `f : (i : ι) → Dual R (M i)`, then this equivalence sends `⨂ₜ[R] i, f i` to the composition of `PiTensorProduct.map f` with the natural isomorphism `⨂[R] i, R ≃ R` given by multiplication.
- [ ] depends on: #11155 (currently used as the base branch; do not merge without switching it back to `master`!)
---
[](https://gitpod.io/from-referrer/)
|
blocked-by-other-PR
please-adopt
merge-conflict
t-algebra
new-contributor
large-import
label:t-algebra$ |
166/2 |
Mathlib/LinearAlgebra/DirectSum/Finsupp.lean,Mathlib/LinearAlgebra/Dual.lean,Mathlib/LinearAlgebra/TensorProduct/Basis.lean |
3 |
4 |
['eric-wieser', 'github-actions', 'leanprover-community-mathlib4-bot'] |
nobody |
348-67 11 months ago |
393-15695 1 year ago |
0-0 0 seconds |
| 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 |
blocked-by-other-PR
merge-conflict
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', 'leanprover-community-mathlib4-bot'] |
YaelDillies assignee:YaelDillies |
331-2334 10 months ago |
331-2334 10 months ago |
0-1791 29 minutes |
| 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.
---
- [ ] 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
awaiting-author
merge-conflict
t-topology
new-contributor
large-import
|
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 |
306-50970 10 months ago |
306-50970 10 months ago |
39-21495 39 days |
| 14060 |
YnirPaz author:YnirPaz |
feat(SetTheory/Ordinal/Clubs): define club sets and prove basic properties |
Create a file where club sets are defined and their basic properties are proven.
I also created a new recursion principle for ordinals, bounded recursion.
---
- [ ] depends on: #19189
[](https://gitpod.io/from-referrer/)
|
blocked-by-other-PR
merge-conflict
t-logic
new-contributor
|
315/3 |
Mathlib.lean,Mathlib/Order/SuccPred/Limit.lean,Mathlib/SetTheory/Cardinal/Cofinality.lean,Mathlib/SetTheory/Ordinal/Arithmetic.lean,Mathlib/SetTheory/Ordinal/Club.lean,Mathlib/SetTheory/Ordinal/Topology.lean |
6 |
93 |
['YaelDillies', 'YnirPaz', 'alreadydone', 'dupuisf', 'github-actions', 'mathlib4-dependent-issues-bot', 'vihdzp', 'zeramorphic'] |
nobody |
284-36091 9 months ago |
284-36091 9 months ago |
92-44198 92 days |
| 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
---
- [ ] depends on: #15651
- [ ] depends on: #15649
[](https://gitpod.io/from-referrer/)
|
blocked-by-other-PR
merge-conflict
new-contributor
t-computability
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 |
221-55259 7 months ago |
221-55264 7 months ago |
0-179 2 minutes |
| 25486 |
VTrelat author:VTrelat |
feat(SetTheory/ZFC/Integers): define integers in ZFC |
Extend the model of ZFC with integers following the converse direction as for naturals. We first define a type and then build a set. We finally show that both representations have coercions in both direction:
- define a proper type `ZFInt` representing integers based on `ZFNat × ZFNat` and following the usual construction of integers
- add theorems on usual algebraic properties of integers
- define a set `Int` and show that it matches-i.e. that it is isomorphic to-the type `ZFInt`
---
[](https://gitpod.io/from-referrer/)
- [ ] depends on: #25483
- [ ] depends on: #25485 |
blocked-by-other-PR
merge-conflict
new-contributor
t-set-theory
|
2003/0 |
Mathlib/Data/Set/Prod.lean,Mathlib/SetTheory/ZFC/Basic.lean,Mathlib/SetTheory/ZFC/Booleans.lean,Mathlib/SetTheory/ZFC/Integers.lean |
4 |
3 |
['github-actions', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot'] |
nobody |
131-12811 4 months ago |
131-12811 4 months ago |
0-2067 34 minutes |
| 25484 |
VTrelat author:VTrelat |
feat(SetTheory/ZFC/Booleans): define Boolean algebra in ZFC |
Extend the model of ZFC with Boolean algebra:
- define a set 𝔹 of booleans
- define a proper type `ZFBool` representing booleans
- add theorems on usual algebraic properties of booleans
- provide usual boolean notations like `⊤`, `⊥`, `∧`, `∨`, etc.
---
[](https://gitpod.io/from-referrer/)
- [ ] depends on: #25483 |
blocked-by-other-PR
merge-conflict
new-contributor
t-set-theory
|
619/0 |
Mathlib/Data/Set/Prod.lean,Mathlib/SetTheory/ZFC/Basic.lean,Mathlib/SetTheory/ZFC/Booleans.lean |
3 |
3 |
['github-actions', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot'] |
nobody |
131-12802 4 months ago |
131-12802 4 months ago |
0-1523 25 minutes |
| 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
awaiting-author
merge-conflict
t-logic
new-contributor
|
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 |
116-29835 3 months ago |
116-29836 3 months 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.
[](https://gitpod.io/from-referrer/)
|
blocked-by-other-PR
merge-conflict
t-algebra
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 |
113-66343 3 months ago |
113-66344 3 months ago |
43-26015 43 days |
| 25488 |
VTrelat author:VTrelat |
feat(SetTheory/ZFC/Rationals): define rationals in ZFC |
Extend the model of ZFC with rationals: we define a proper type `ZFRat` representing integers based on pairs of `ZFInt` (enforcing the res to be nonzero) and following the usual construction of rationals.
---
[](https://gitpod.io/from-referrer/)
- [ ] depends on: #25483
- [ ] depends on: #25485
- [ ] depends on: #25486 |
blocked-by-other-PR
merge-conflict
new-contributor
t-set-theory
|
2070/0 |
Mathlib/Data/Set/Prod.lean,Mathlib/SetTheory/ZFC/Basic.lean,Mathlib/SetTheory/ZFC/Booleans.lean,Mathlib/SetTheory/ZFC/Integers.lean,Mathlib/SetTheory/ZFC/Rationals.lean |
5 |
3 |
['github-actions', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot'] |
nobody |
112-30961 3 months ago |
112-30961 3 months ago |
0-1808 30 minutes |
| 26413 |
michaellee94 author:michaellee94 |
feat(Analysis/ODE/MaximalSolution): Existence of maximal solutions for ODE meeting Picard-Lindelöf conditions |
Add existence proof for maximal solution of ODE using Picard-Lindelöf and a uniqueness theorem using Grönwall's lemma.
---
- [x] depends on: #26382
- [ ] depends on: #29186
[](https://gitpod.io/from-referrer/)
|
blocked-by-other-PR
awaiting-author
merge-conflict
t-analysis
new-contributor
|
746/1 |
Mathlib.lean,Mathlib/Analysis/ODE/MaximalSolution.lean,docs/undergrad.yaml |
3 |
13 |
['github-actions', 'grunweg', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot', 'winstonyin'] |
nobody |
103-62746 3 months ago |
103-62747 3 months ago |
0-5139 1 hour |
| 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]
---
[](https://gitpod.io/from-referrer/)
|
blocked-by-other-PR
merge-conflict
new-contributor
|
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 |
63-79697 2 months ago |
87-9710 2 months ago |
0-396 6 minutes |
| 28152 |
Sebi-Kumar author:Sebi-Kumar |
feat(AlgebraicTopology): characterize simply connectedness in terms of loops |
Show that a space is simply connected if and only if all loops within that space are homotopic to the constant loop. To be used in a proof that the `n`-sphere is simply connected for `n > 1`.
---
This code was written at the University of Western Ontario as a part of the Fields Undergraduate Summer Research Program under the supervision of Chris Kapulkin and Daniel Carranza.
- [ ] depends on: #28126
[](https://gitpod.io/from-referrer/)
|
blocked-by-other-PR
merge-conflict
new-contributor
t-algebraic-topology
|
37/5 |
Mathlib/AlgebraicTopology/FundamentalGroupoid/Basic.lean,Mathlib/AlgebraicTopology/FundamentalGroupoid/SimplyConnected.lean |
2 |
3 |
['github-actions', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
nobody |
55-68813 1 month ago |
55-68813 1 month ago |
0-2854 47 minutes |
| 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 SetTheory 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.
- [ ] depends on: #28208
- [ ] depends on: #28198
- [ ] depends on: #28185
- [ ] depends on: #28152
[](https://gitpod.io/from-referrer/)
|
blocked-by-other-PR
merge-conflict
new-contributor
t-algebraic-topology
|
639/6 |
Mathlib.lean,Mathlib/AlgebraicTopology/FundamentalGroupoid/Basic.lean,Mathlib/AlgebraicTopology/FundamentalGroupoid/SimplyConnected.lean,Mathlib/AlgebraicTopology/FundamentalGroupoid/SimplyConnectedSphere.lean,Mathlib/Analysis/InnerProductSpace/PiL2.lean,Mathlib/Tactic/Linter/DirectoryDependency.lean,Mathlib/Topology/FoldTrans.lean,Mathlib/Topology/Path.lean,Mathlib/Topology/Subpath.lean |
9 |
3 |
['github-actions', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
nobody |
55-68811 1 month ago |
55-68812 1 month ago |
0-23 23 seconds |
| 30303 |
franv314 author:franv314 |
chore(Topology/Instances): add deprecated module |
Add deprecated module to moved Cantor set file.
---
- [ ] depends on: #30299
[](https://gitpod.io/from-referrer/)
|
blocked-by-other-PR
merge-conflict
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 |
46-9463 1 month ago |
46-9464 1 month ago |
0-340 5 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.
---
- [ ] depends on: #30150
[](https://gitpod.io/from-referrer/)
|
blocked-by-other-PR
merge-conflict
new-contributor
large-import
|
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 |
30-38173 1 month ago |
30-38174 1 month ago |
0-241 4 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
---
- [ ] depends on: #30150
[](https://gitpod.io/from-referrer/)
|
blocked-by-other-PR
merge-conflict
new-contributor
large-import
|
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 |
30-38172 1 month ago |
30-38173 1 month ago |
0-1234 20 minutes |
| 27953 |
CoolRmal author:CoolRmal |
feat(ProbabilityTheory): Conditional Jensen's Inequality |
This PR adds conditional Jensen's inequality.
---
- [ ] depends on: #31180
- [ ] depends on: #31411
- [ ] depends on: #31399
[](https://gitpod.io/from-referrer/)
|
blocked-by-other-PR
merge-conflict
t-measure-probability
new-contributor
|
462/10 |
Mathlib.lean,Mathlib/Analysis/LocallyConvex/Separation.lean,Mathlib/MeasureTheory/Function/ConditionalExpectation/Basic.lean,Mathlib/MeasureTheory/Function/ConditionalExpectation/CondJensen.lean,Mathlib/MeasureTheory/MeasurableSpace/Constructions.lean |
5 |
8 |
['CoolRmal', 'EtienneC30', 'github-actions', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
sgouezel assignee:sgouezel |
27-79966 27 days ago |
27-79967 27 days ago |
27-80190 27 days |
| 26160 |
oliver-butterley author:oliver-butterley |
feat(MeasureTheory.VectorMeasure): add several lemmas which characterize variation |
Add the following lemmas concerning variation of a VectorMeasure:
* `norm_measure_le_variation`: `‖μ E‖ₑ ≤ variation μ E`.
* `variation_neg`: `(-μ).variation = μ.variation`.
* `variation_zero`: `(0 : VectorMeasure X V).variation = 0`.
* `absolutelyContinuous`
Co-authored-by: @yoh-tanimoto
- [ ] depends on: #26156
---
[](https://gitpod.io/from-referrer/)
|
blocked-by-other-PR
merge-conflict
t-measure-probability
new-contributor
|
432/0 |
Mathlib.lean,Mathlib/MeasureTheory/VectorMeasure/Variation/Defs.lean,Mathlib/MeasureTheory/VectorMeasure/Variation/Lemmas.lean |
3 |
3 |
['github-actions', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
nobody |
24-21658 24 days ago |
24-21659 24 days ago |
15-68781 15 days |
| 26165 |
oliver-butterley author:oliver-butterley |
feat(MeasureTheory.VectorMeasure): add lemma which shows that variation of a `ℝ≥0∞` VectorMeasure is equal to itself |
Add a lemma for the variation of a VectorMeasure which tells that if `μ` is `VectorMeasure X ℝ≥0∞` then `variation μ = μ`.
Co-authored-by: @yoh-tanimoto
- [ ] depends on: #26160
---
[](https://gitpod.io/from-referrer/)
|
blocked-by-other-PR
merge-conflict
t-measure-probability
new-contributor
|
467/0 |
Mathlib.lean,Mathlib/MeasureTheory/VectorMeasure/Variation/Defs.lean,Mathlib/MeasureTheory/VectorMeasure/Variation/Lemmas.lean |
3 |
3 |
['github-actions', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
nobody |
24-21657 24 days ago |
24-21658 24 days ago |
15-66224 15 days |
| 28208 |
Sebi-Kumar author:Sebi-Kumar |
feat(Topology): add the definition `foldTrans` to concatenate finite sequences of paths |
Add `foldTrans`, which folds the function `Path.trans` across a sequence of paths with compatible endpoints, corresponding to the concatenation of a finite sequence of paths. This is implemented with `Fin.dfoldl` from the Batteries library. Prove basic properties about `foldTrans` (i.e., how it behaves with respect to `Path.refl`, `Path.subpath`, and homotopies).
---
To provide additional context, I am new to contributing to Mathlib, and I am doing so 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. My goal is to prove that the `n`-sphere is simply connected for `n > 1`, following the proof from Hatcher's "Algebraic Topology."
- [ ] depends on: #27261
[](https://gitpod.io/from-referrer/)
|
blocked-by-other-PR
merge-conflict
t-topology
new-contributor
|
259/0 |
Mathlib.lean,Mathlib/Topology/FoldTrans.lean,Mathlib/Topology/Subpath.lean |
3 |
3 |
['github-actions', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
nobody |
24-21153 24 days ago |
24-21154 24 days ago |
0-2340 39 minutes |
| 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 |
blocked-by-other-PR
merge-conflict
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 |
24-21141 24 days ago |
24-21141 24 days ago |
0-591 9 minutes |
| 26168 |
oliver-butterley author:oliver-butterley |
feat(MeasureTheory.VectorMeasure): variation defined as a supremum is equal to variation defined using the Hahn-Jordan decomposition |
Add `signedMeasure_totalVariation_eq`: if `μ` is a `SignedMeasure` then variation defined as a supremum is equal to variation defined using the Hahn-Jordan decomposition.
Co-authored-by: @yoh-tanimoto
- [ ] depends on: #26165
---
[](https://gitpod.io/from-referrer/)
|
blocked-by-other-PR
merge-conflict
t-measure-probability
new-contributor
|
680/0 |
Mathlib.lean,Mathlib/MeasureTheory/VectorMeasure/Variation/Defs.lean,Mathlib/MeasureTheory/VectorMeasure/Variation/Equiv.lean,Mathlib/MeasureTheory/VectorMeasure/Variation/Lemmas.lean |
4 |
3 |
['github-actions', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
nobody |
23-80098 23 days ago |
24-21657 24 days ago |
15-65390 15 days |
| 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
awaiting-author
merge-conflict
t-category-theory
new-contributor
|
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 |
23-79719 23 days ago |
24-21134 24 days ago |
0-24930 6 hours |
| 31411 |
CoolRmal author:CoolRmal |
feat: a convex lower-semicontinuous function is the supremum of a sequence of affine functions in a separable space |
This lemma is needed in the proof of conditional Jensen's inequality: #27953
The lemmas in this PR need the RCLike API, so it is not suitable to put them in Mathlib.Topology.Semicontinuous or Mathlib.Analysis.Convex.Function as they does not import RCLike. I tried to put these lemmas in a RCLike related file but I encountered warnings about import (e.g. Modules starting with Mathlib.Topology are not allowed to import modules starting with ...). Therefore, I temporarily put them in [Mathlib/MeasureTheory/Function/ConditionalExpectation/CondJensen.lean](https://github.com/leanprover-community/mathlib4/pull/31411/files#diff-930cc0818908e1ab51f74f3729ae6de8ed43f7914e94ca07c619f48a4c49aa9c).
---
- [ ] depends on: #31180
[](https://gitpod.io/from-referrer/)
|
blocked-by-other-PR
merge-conflict
t-analysis
new-contributor
|
337/10 |
Mathlib.lean,Mathlib/Analysis/LocallyConvex/Separation.lean,Mathlib/MeasureTheory/Function/ConditionalExpectation/Basic.lean,Mathlib/MeasureTheory/Function/ConditionalExpectation/CondJensen.lean |
4 |
3 |
['github-actions', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
nobody |
23-79657 23 days ago |
24-15381 24 days ago |
0-129 2 minutes |
| 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]
---
[](https://gitpod.io/from-referrer/)
|
WIP
blocked-by-other-PR
awaiting-author
t-analysis
new-contributor
|
237/25 |
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 |
4 |
['github-actions', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
faenuccio assignee:faenuccio |
21-15426 21 days ago |
21-15594 21 days ago |
0-634 10 minutes |
| 31113 |
515801431 author:515801431 |
feat(Mathlib/Combinatorics/Enumerative/Polya.lean): Add additional theorem in `Polya.lean` |
---
- [ ] depends on: #30525
---
[](https://gitpod.io/from-referrer/)
|
blocked-by-other-PR
merge-conflict
t-combinatorics
new-contributor
|
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 |
7-67301 7 days ago |
7-67302 7 days ago |
22-58765 22 days |