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 |
| 10721 |
urkud author:urkud |
feat(Order/FunLike): define `PointwiseLE` |
- introduce a mixin class `DFunLike.PointwiseLE`, use it to define `DFunLike.instPartialOrder`;
- add a generic `DFunLike.orderEmbeddingCoe`
- add `DFunLike.PointwiseLE` instances here and there.
With this refactor and #13022, I'm going to generalize lemmas like `MeasureTheory.ae_mono` to `OuterMeasureClass`.
---
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- [x] depends on: #12983
[](https://gitpod.io/from-referrer/) |
merge-conflict
t-order
t-logic
|
123/50 |
Mathlib.lean,Mathlib/Algebra/Order/Hom/Ring.lean,Mathlib/Data/DFinsupp/Order.lean,Mathlib/Data/Finsupp/Order.lean,Mathlib/Data/FunLike/Basic.lean,Mathlib/Dynamics/Circle/RotationNumber/TranslationNumber.lean,Mathlib/GroupTheory/Congruence.lean,Mathlib/Order/FunLike.lean,Mathlib/Order/Heyting/Hom.lean,Mathlib/Order/Hom/Basic.lean,Mathlib/Order/Hom/Bounded.lean,Mathlib/Order/Hom/CompleteLattice.lean,Mathlib/Topology/Order/Hom/Basic.lean |
13 |
48 |
['YaelDillies', 'dupuisf', 'leanprover-community-mathlib4-bot', 'urkud'] |
nobody |
677-1924 1 year ago |
726-66726 726 days ago |
64-12984 64 days |
| 8788 |
FMLJohn author:FMLJohn |
feat(Algebra/Module/GradeZeroModule): if `A` is a graded semiring and `M` is a graded `A`-module, then each grade of `M` is a module over the 0-th grade of `A`. |
---
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- [ ] depends on: #8187
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebra
label:t-algebra$ |
237/4 |
Mathlib.lean,Mathlib/Algebra/DirectSum/Internal.lean,Mathlib/Algebra/GradedMonoid.lean,Mathlib/Algebra/Module/GradeZeroModule.lean,Mathlib/RingTheory/GradedAlgebra/Basic.lean,Mathlib/RingTheory/GradedAlgebra/Noetherian.lean |
6 |
4 |
['FMLJohn', 'github-actions', 'leanprover-community-mathlib4-bot'] |
nobody |
677-1923 1 year ago |
916-78219 916 days ago |
1-57831 1 day |
| 6777 |
adomani author:adomani |
chore(Co*variantClass): replace eta-expanded (· * ·), (· + ·), (· ≤ ·), (· < ·) |
Replace `CovariantClass X X (· * ·) (· ≤ ·)` with -> `CovariantClass X X HMul.hMul LE.le` and similarly for `HAdd`, `LT`, `Contravariant`.
This PR is inspired by [Issue #6646](https://github.com/leanprover-community/mathlib4/issues/6646) and, more specifically, [this comment](https://github.com/leanprover-community/mathlib4/issues/6646#issuecomment-1692792066).
Note that https://github.com/leanprover/lean4/pull/2267 would make this unnecessary
---
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```bash
# First sed command:
# the first captured pattern is `Co*variantClass <type> <type> `
# the second captured pattern is `<type>`
# the third captured pattern is `+` or `*`
# the fourth captured pattern is `<` or `≤`
# a match for `Co*variantClass <type> <type> (· <op> ·) (· <rel> ·)` becomes
# `Co*variantClass <type> <type> replaceop<op> replaceop<rel>`
# Second sed command: similar to the first, but looks for `(Function.swap (· <op> ·))`
sed -i '
s=\(Co[ntra]*variantClass \(..*\) \2 \)(· *\([+*]\) *·) (· *\([<≤]\) *·)=\1replaceop\3 replaceop\4=g
s=\(Co[ntra]*variantClass \(..*\) \2 \)(\([Functio\.swap ]*\)(· *\([+*]\) *·)) (· *\([<≤]\) *·)=\1(\3replaceop\4) replaceop\5=g
s=replaceop+=HAdd.hAdd=g
s=replaceop\*=HMul.hMul=g
s=replaceop<=LT.lt=g
s=replaceop≤=LE.le=g
s=\(Co[ntra]*variantClass N N\) (· \* ·) r=\1 HMul.hMul r=g
s=\(Co[ntra]*variantClass N N (swap μ)\) (· ≤ ·)=\1 LE.le=g
s=\(Co[ntra]*variantClass N N\) (swap (· \* ·)) r=\1 (swap HMul.hMul) r=g
s=\(CovariantClass (Filter α) (Filter α)\) (· / ·) (· ≤ ·)=\1 HDiv.hDiv LE.le=g
s=\(CovariantClass (Filter α) (Filter α)\) (swap (· / ·)) (· ≤ ·)=\1 (swap HDiv.hDiv) LE.le=g
s=\(Co[ntra]*variantClass .* (fun x y .> . \* .)\) (· ≤ ·)=\1 LE.le=g
s=\(Co[ntra]*variantClass .* (fun x y .> . \* .)\) (· < ·)=\1 LT.lt=g
s=\(Co[ntra]*variantClass [^}]*\) (· ≤ ·)=\1 LE.le=g
s=\(CovariantClass .* (Filter β)\) (· • ·) LE.le=\1 HSMul.hSMul LE.le=g
' $(git ls-files '*.lean')
```
[](https://gitpod.io/from-referrer/)
|
merge-conflict |
703/678 |
Counterexamples/ZeroDivisorsInAddMonoidAlgebras.lean,Mathlib/Algebra/BigOperators/Basic.lean,Mathlib/Algebra/Bounds.lean,Mathlib/Algebra/CovariantAndContravariant.lean,Mathlib/Algebra/DirectSum/Internal.lean,Mathlib/Algebra/Group/UniqueProds.lean,Mathlib/Algebra/GroupPower/Order.lean,Mathlib/Algebra/MonoidAlgebra/Degree.lean,Mathlib/Algebra/Order/Archimedean.lean,Mathlib/Algebra/Order/Group/Abs.lean,Mathlib/Algebra/Order/Group/Defs.lean,Mathlib/Algebra/Order/Group/DenselyOrdered.lean,Mathlib/Algebra/Order/Group/MinMax.lean,Mathlib/Algebra/Order/Group/OrderIso.lean,Mathlib/Algebra/Order/Hom/Monoid.lean,Mathlib/Algebra/Order/Interval.lean,Mathlib/Algebra/Order/Kleene.lean,Mathlib/Algebra/Order/LatticeGroup.lean,Mathlib/Algebra/Order/Module.lean,Mathlib/Algebra/Order/Monoid/Basic.lean,Mathlib/Algebra/Order/Monoid/Cancel/Defs.lean,Mathlib/Algebra/Order/Monoid/Canonical/Defs.lean,Mathlib/Algebra/Order/Monoid/Defs.lean,Mathlib/Algebra/Order/Monoid/Lemmas.lean,Mathlib/Algebra/Order/Monoid/MinMax.lean,Mathlib/Algebra/Order/Monoid/NatCast.lean,Mathlib/Algebra/Order/Monoid/OrderDual.lean,Mathlib/Algebra/Order/Monoid/Prod.lean,Mathlib/Algebra/Order/Monoid/WithTop.lean,Mathlib/Algebra/Order/Monoid/WithZero/Basic.lean,Mathlib/Algebra/Order/Monoid/WithZero/Defs.lean,Mathlib/Algebra/Order/Nonneg/Ring.lean,Mathlib/Algebra/Order/Pointwise.lean,Mathlib/Algebra/Order/Positive/Ring.lean,Mathlib/Algebra/Order/Ring/Canonical.lean,Mathlib/Algebra/Order/Ring/Defs.lean,Mathlib/Algebra/Order/Ring/Lemmas.lean,Mathlib/Algebra/Order/Sub/Basic.lean,Mathlib/Algebra/Order/Sub/Canonical.lean,Mathlib/Algebra/Order/Sub/Defs.lean,Mathlib/Algebra/Order/WithZero.lean,Mathlib/Algebra/Parity.lean,Mathlib/Algebra/Star/Order.lean,Mathlib/Algebra/Tropical/Basic.lean,Mathlib/Analysis/Normed/Order/Lattice.lean,Mathlib/Data/DFinsupp/Lex.lean,Mathlib/Data/DFinsupp/Order.lean,Mathlib/Data/Finset/Fold.lean,Mathlib/Data/Finsupp/Lex.lean,Mathlib/Data/Finsupp/Order.lean,Mathlib/Data/List/BigOperators/Basic.lean,Mathlib/Data/List/BigOperators/Lemmas.lean,Mathlib/Data/Multiset/Basic.lean,Mathlib/Data/Nat/Cast/Order.lean,Mathlib/Data/PNat/Basic.lean,Mathlib/Data/Real/ENNReal.lean,Mathlib/Data/Real/NNReal.lean,Mathlib/Data/Set/Semiring.lean,Mathlib/Data/Sign.lean,Mathlib/MeasureTheory/Function/LpOrder.lean,Mathlib/MeasureTheory/Function/SimpleFuncDenseLp.lean,Mathlib/MeasureTheory/Measure/MeasureSpace.lean,Mathlib/MeasureTheory/Measure/VectorMeasure.lean,Mathlib/Order/ConditionallyCompleteLattice/Group.lean,Mathlib/Order/Filter/Basic.lean,Mathlib/Order/Filter/Pointwise.lean,Mathlib/Probability/Martingale/Basic.lean,Mathlib/Probability/Process/Stopping.lean,Mathlib/RingTheory/GradedAlgebra/Basic.lean,Mathlib/SetTheory/Cardinal/Basic.lean,Mathlib/SetTheory/Game/Basic.lean,Mathlib/SetTheory/Game/PGame.lean,Mathlib/SetTheory/Ordinal/Arithmetic.lean,Mathlib/SetTheory/Ordinal/Basic.lean,Mathlib/SetTheory/Ordinal/NaturalOps.lean,Mathlib/Tactic/GCongr/Core.lean,Mathlib/Tactic/Positivity/Basic.lean,Mathlib/Topology/ContinuousFunction/Algebra.lean,lean-toolchain,test/Recall.lean,test/propose.lean |
81 |
37 |
['adomani', 'alreadydone', 'digama0', 'eric-wieser', 'ericrbg', 'jcommelin', 'leanprover-bot', 'sgouezel', 'vihdzp'] |
nobody |
677-1922 1 year ago |
951-53819 951 days ago |
35-63136 35 days |
| 7875 |
astrainfinita author:astrainfinita |
chore: make `SMulCommClass A A B` and `SMulCommClass A B B` higher priority |
---
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|
merge-conflict
slow-typeclass-synthesis
t-algebra
label:t-algebra$ |
54/48 |
Mathlib/Algebra/Algebra/Basic.lean,Mathlib/Algebra/Algebra/NonUnitalSubalgebra.lean,Mathlib/Algebra/DirectSum/Algebra.lean,Mathlib/Algebra/Group/Action/Defs.lean,Mathlib/Algebra/Group/Subgroup/Actions.lean,Mathlib/Algebra/Lie/NonUnitalNonAssocAlgebra.lean,Mathlib/Algebra/Module/LinearMap/End.lean,Mathlib/Algebra/MonoidAlgebra/Basic.lean,Mathlib/Algebra/MvPolynomial/Basic.lean,Mathlib/Algebra/Ring/CentroidHom.lean,Mathlib/Algebra/Ring/Subring/Basic.lean,Mathlib/Algebra/Ring/Subsemiring/Basic.lean,Mathlib/Algebra/Star/NonUnitalSubalgebra.lean,Mathlib/Analysis/Complex/UnitDisc/Basic.lean,Mathlib/Analysis/NormedSpace/lpSpace.lean,Mathlib/Data/Matrix/Basic.lean,Mathlib/GroupTheory/GroupAction/Prod.lean,Mathlib/GroupTheory/GroupAction/Ring.lean,Mathlib/GroupTheory/GroupAction/SubMulAction.lean,Mathlib/GroupTheory/MonoidLocalization.lean,Mathlib/GroupTheory/Submonoid/Center.lean,Mathlib/LinearAlgebra/PiTensorProduct.lean,Mathlib/RingTheory/Ideal/Quotient.lean,Mathlib/RingTheory/TensorProduct/Basic.lean,Mathlib/Topology/ContinuousFunction/ContinuousMapZero.lean,Mathlib/Topology/ContinuousFunction/StoneWeierstrass.lean,Mathlib/Topology/ContinuousFunction/ZeroAtInfty.lean |
27 |
15 |
['Parcly-Taxel', 'astrainfinita', 'jcommelin', 'leanprover-bot'] |
nobody |
677-1922 1 year ago |
731-18430 731 days ago |
1-47913 1 day |
| 6491 |
eric-wieser author:eric-wieser |
chore(Mathlib/Algebra/Hom/GroupAction): add `SMulHomClass.comp_smul` |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebra
label:t-algebra$ |
24/10 |
Mathlib/Algebra/Hom/GroupAction.lean |
1 |
0 |
[] |
nobody |
677-1921 1 year ago |
948-74321 948 days ago |
83-76369 83 days |
| 10629 |
madvorak author:madvorak |
feat: List.cons_sublist_append_iff_right |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-data
|
11/0 |
Mathlib/Data/List/Basic.lean |
1 |
1 |
['eric-wieser'] |
nobody |
662-81866 1 year ago |
789-4303 789 days ago |
53-73442 53 days |
| 13791 |
digama0 author:digama0 |
refactor: Primrec and Partrec |
General cleanup of the `Primrec` and `Partrec` files, to better adjust to lean 4 things. The main user-visible change is that `Primrec₂` is no longer a `def` but an `abbrev`, because it was causing inference issues in lean 4. I also removed all the nonterminal `simp`s in `PartrecCode.lean`.
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-computability
tech debt
|
585/778 |
Mathlib/Computability/Ackermann.lean,Mathlib/Computability/Halting.lean,Mathlib/Computability/Partrec.lean,Mathlib/Computability/PartrecCode.lean,Mathlib/Computability/Primrec.lean |
5 |
2 |
['github-actions', 'grunweg'] |
nobody |
658-44711 1 year ago |
722-34297 722 days ago |
1-84718 1 day |
| 11964 |
adamtopaz author:adamtopaz |
feat: The functor of points of a scheme |
We construct the functor of points functor, and prove that it's full and faithful.
---
- [x] depends on: #11947
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebraic-geometry
t-category-theory
|
210/0 |
Mathlib.lean,Mathlib/AlgebraicGeometry/FunctorOfPoints.lean,Mathlib/AlgebraicGeometry/OpenImmersion.lean |
3 |
4 |
['github-actions', 'grunweg'] |
nobody |
658-44570 1 year ago |
786-61511 786 days ago |
0-1223 20 minutes |
| 12418 |
rosborn author:rosborn |
style: replace preimage_val with ↓∩ notation |
---
This is a rough draft of what the new `↓∩` notation would look like within mathlib. I believe this is an improvement in clarity and would like to have `↓∩` as a standard notation (along with `''`, `⁻¹'`, `↑`, etc...). As `↓∩` is specialized for `Set`s, I have only changed `preimage_val` when the left-hand side of `↓∩` is a `Set`.
The introduction of the `↓∩` notation to Data.Set.Image is temporary as it isn't possible to import Data.Set.Subset directly. If we want `↓∩` unscoped, where would be the best place to define it? An option is Data.Set.Defs, but the notation cannot be defined without additional imports as the file does not import `notation3`.
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[](https://gitpod.io/from-referrer/)
|
merge-conflict |
56/61 |
Mathlib/Analysis/InnerProductSpace/Projection.lean,Mathlib/Data/Set/Function.lean,Mathlib/Data/Set/Image.lean,Mathlib/Data/Set/Subset.lean,Mathlib/MeasureTheory/Constructions/Polish.lean,Mathlib/MeasureTheory/MeasurableSpace/Basic.lean,Mathlib/MeasureTheory/Measure/Restrict.lean,Mathlib/Order/UpperLower/Basic.lean,Mathlib/Topology/Bases.lean,Mathlib/Topology/Clopen.lean,Mathlib/Topology/Connected/Basic.lean,Mathlib/Topology/Connected/PathConnected.lean,Mathlib/Topology/Constructions.lean,Mathlib/Topology/ContinuousOn.lean,Mathlib/Topology/LocalAtTarget.lean,Mathlib/Topology/LocallyConstant/Basic.lean,Mathlib/Topology/Separation.lean,Mathlib/Topology/Sober.lean |
18 |
3 |
['grunweg', 'rosborn'] |
nobody |
658-44469 1 year ago |
744-54453 744 days ago |
29-50022 29 days |
| 12751 |
Command-Master author:Command-Master |
feat: add lemmas for Nat/Bits, Nat/Bitwise and Nat/Size |
Remove `@[simp]` from `Nat.bit_false` and `Nat.bit_true`, as `bit0` and `bit1` are deprecated, and add some lemmas to `Bits`, `Bitwise` and `Size`.
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-data
new-contributor
|
66/7 |
Mathlib/Data/Nat/Bits.lean,Mathlib/Data/Nat/Bitwise.lean,Mathlib/Data/Nat/Multiplicity.lean,Mathlib/Data/Nat/Size.lean |
4 |
26 |
['Command-Master', 'Rida-Hamadani', 'Ruben-VandeVelde', 'YaelDillies', 'github-actions', 'jcommelin'] |
nobody |
657-65623 1 year ago |
692-71845 692 days ago |
56-40668 56 days |
| 10350 |
Shamrock-Frost author:Shamrock-Frost |
feat(Data/Setoid): add the operations of taking the equivalence class of an element and of saturating a set wrt an equivalence relation |
I'm open to suggestions about changing the name "saturate", someone on zulip rightly pointed out this is a very overloaded term in math. That said, I think it's unlikely to cause confusion and that there's only one reasonable interpretation in the context of setoids.
---
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- [x] depends on: #10347
- [x] depends on: #10348
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-data
|
169/3 |
Mathlib/Data/Setoid/Basic.lean,Mathlib/Data/Setoid/Partition.lean,Mathlib/Order/Closure.lean |
3 |
1 |
['leanprover-community-mathlib4-bot'] |
nobody |
655-67897 1 year ago |
774-59525 774 days ago |
19-74546 19 days |
| 17127 |
FR-vdash-bot author:FR-vdash-bot |
chore: remove global `Quotient.mk` `⟦·⟧` notation |
---
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Merge this PR when we are ready to migrate to `QuotLike` API (#16421).
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-data
|
137/2 |
Counterexamples/Pseudoelement.lean,Mathlib/Algebra/Associated/Basic.lean,Mathlib/Algebra/BigOperators/Group/Finset.lean,Mathlib/Algebra/Group/Conj.lean,Mathlib/Algebra/GroupWithZero/NonZeroDivisors.lean,Mathlib/Algebra/Order/CauSeq/Completion.lean,Mathlib/Algebra/Quandle.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Jacobian.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Projective.lean,Mathlib/AlgebraicTopology/FundamentalGroupoid/Basic.lean,Mathlib/AlgebraicTopology/FundamentalGroupoid/FundamentalGroup.lean,Mathlib/AlgebraicTopology/FundamentalGroupoid/InducedMaps.lean,Mathlib/AlgebraicTopology/FundamentalGroupoid/Product.lean,Mathlib/AlgebraicTopology/FundamentalGroupoid/SimplyConnected.lean,Mathlib/CategoryTheory/Abelian/Pseudoelements.lean,Mathlib/CategoryTheory/Limits/Shapes/SingleObj.lean,Mathlib/CategoryTheory/Monoidal/Free/Basic.lean,Mathlib/CategoryTheory/Monoidal/Free/Coherence.lean,Mathlib/CategoryTheory/Skeletal.lean,Mathlib/Data/Finset/Card.lean,Mathlib/Data/Fintype/List.lean,Mathlib/Data/Fintype/Quotient.lean,Mathlib/Data/Multiset/Basic.lean,Mathlib/Data/QPF/Multivariate/Constructions/Fix.lean,Mathlib/Data/QPF/Univariate/Basic.lean,Mathlib/Data/Quot.lean,Mathlib/Data/Real/Basic.lean,Mathlib/Data/Set/Finite.lean,Mathlib/Data/Set/Image.lean,Mathlib/Data/Setoid/Basic.lean,Mathlib/GroupTheory/GroupAction/Basic.lean,Mathlib/GroupTheory/GroupAction/Quotient.lean,Mathlib/LinearAlgebra/Dual.lean,Mathlib/LinearAlgebra/Ray.lean,Mathlib/Logic/Encodable/Basic.lean,Mathlib/Logic/Equiv/Basic.lean,Mathlib/ModelTheory/DirectLimit.lean,Mathlib/ModelTheory/Fraisse.lean,Mathlib/ModelTheory/Quotients.lean,Mathlib/NumberTheory/NumberField/CanonicalEmbedding/FundamentalCone.lean,Mathlib/NumberTheory/NumberField/Embeddings.lean,Mathlib/NumberTheory/NumberField/Units/DirichletTheorem.lean,Mathlib/NumberTheory/Padics/PadicIntegers.lean,Mathlib/NumberTheory/Padics/PadicNumbers.lean,Mathlib/Order/RelIso/Basic.lean,Mathlib/RepresentationTheory/Action/Concrete.lean,Mathlib/SetTheory/Cardinal/Basic.lean,Mathlib/SetTheory/Cardinal/Ordinal.lean,Mathlib/SetTheory/Game/Basic.lean,Mathlib/SetTheory/Game/Birthday.lean,Mathlib/SetTheory/Game/Impartial.lean,Mathlib/SetTheory/Game/Ordinal.lean,Mathlib/SetTheory/Game/State.lean,Mathlib/SetTheory/Lists.lean,Mathlib/SetTheory/Ordinal/Arithmetic.lean,Mathlib/SetTheory/Ordinal/Basic.lean,Mathlib/SetTheory/Surreal/Basic.lean,Mathlib/SetTheory/Surreal/Dyadic.lean,Mathlib/SetTheory/Surreal/Multiplication.lean,Mathlib/SetTheory/ZFC/Basic.lean,Mathlib/SetTheory/ZFC/Rank.lean,Mathlib/Topology/Connected/PathConnected.lean,Mathlib/Topology/Homotopy/HomotopyGroup.lean,Mathlib/Topology/Homotopy/Path.lean,Mathlib/Topology/Homotopy/Product.lean,Mathlib/Topology/MetricSpace/GromovHausdorff.lean,Mathlib/Topology/UniformSpace/Separation.lean,test/interactiveUnfold.lean |
68 |
1 |
['github-actions'] |
nobody |
616-16562 1 year ago |
616-16562 616 days ago |
4-72805 4 days |
| 13156 |
erdOne author:erdOne |
refactor(Algebra/Module/LocalizedModule): Redefine `LocalizedModule` in terms of `OreLocalization`. |
---
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- [x] depends on: #13151
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebra
label:t-algebra$ |
519/628 |
Mathlib.lean,Mathlib/Algebra/Module/LocalizedModule.lean,Mathlib/AlgebraicGeometry/Modules/Tilde.lean,Mathlib/RingTheory/DedekindDomain/Different.lean,Mathlib/RingTheory/Localization/BaseChange.lean,Mathlib/RingTheory/OreLocalization/Basic.lean,Mathlib/RingTheory/OreLocalization/Module.lean,Mathlib/RingTheory/OreLocalization/Ring.lean |
8 |
4 |
['github-actions', 'leanprover-bot', 'leanprover-community-mathlib4-bot', 'mattrobball'] |
nobody |
601-68844 1 year ago |
601-68844 601 days ago |
51-84473 51 days |
| 14598 |
Command-Master author:Command-Master |
chore: add typeclasses to unify various `add_top`, `add_eq_top`, etc. |
Add the four typeclasses `IsTopAbsorbing`, `IsBotAbsorbing`, `NoTopSum`, `NoBotSum`, as additive equivalents for `MulZeroClass` and `NoZeroDivisors`. Add instances of these for `ENNReal`, `WithTop α`, `WithBot α`, `PUnit`, `EReal`, `PartENat`, `Measure`, `Interval` and `Filter`.
Also split `Algebra/Order/AddGroupWithTop` to `Algebra/Order/Group/WithTop` and `Algebra/Order/Monoid/WithTop`
---
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Previous usages of lemmas with quantified names like `WithTop.add_top` have to be changed to just `add_top`.
`add_lt_top` is `@[simp]`, in accordance with `ENNReal.add_lt_top` being `@[simp]`. This affects `WithTop.add_lt_top` which previously hadn't been `@[simp]`.
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebra
t-order
new-contributor
label:t-algebra$ |
264/195 |
Archive/Wiedijk100Theorems/BallotProblem.lean,Mathlib.lean,Mathlib/Algebra/Order/Group/WithTop.lean,Mathlib/Algebra/Order/GroupWithZero/Canonical.lean,Mathlib/Algebra/Order/Interval/Basic.lean,Mathlib/Algebra/Order/Monoid/Unbundled/Basic.lean,Mathlib/Algebra/Order/Monoid/Unbundled/Defs.lean,Mathlib/Algebra/Order/Monoid/Unbundled/WithTop.lean,Mathlib/Algebra/Order/Monoid/WithTop.lean,Mathlib/Algebra/PUnitInstances/Order.lean,Mathlib/Algebra/Polynomial/Degree/Definitions.lean,Mathlib/Algebra/Polynomial/Monic.lean,Mathlib/Algebra/Tropical/Basic.lean,Mathlib/Analysis/Analytic/Meromorphic.lean,Mathlib/Analysis/Normed/Lp/ProdLp.lean,Mathlib/Analysis/NormedSpace/ENorm.lean,Mathlib/Analysis/SpecialFunctions/JapaneseBracket.lean,Mathlib/Analysis/SpecialFunctions/Log/ENNRealLog.lean,Mathlib/Data/ENNReal/Operations.lean,Mathlib/Data/ENat/Basic.lean,Mathlib/Data/Nat/PartENat.lean,Mathlib/Data/Nat/WithBot.lean,Mathlib/Data/Real/EReal.lean,Mathlib/LinearAlgebra/Lagrange.lean,Mathlib/MeasureTheory/Covering/Differentiation.lean,Mathlib/MeasureTheory/Decomposition/Lebesgue.lean,Mathlib/MeasureTheory/Function/ConditionalExpectation/CondexpL1.lean,Mathlib/MeasureTheory/Function/Jacobian.lean,Mathlib/MeasureTheory/Function/L1Space.lean,Mathlib/MeasureTheory/Function/L2Space.lean,Mathlib/MeasureTheory/Function/LpSeminorm/Basic.lean,Mathlib/MeasureTheory/Function/LpSeminorm/TriangleInequality.lean,Mathlib/MeasureTheory/Function/LpSpace.lean,Mathlib/MeasureTheory/Function/StronglyMeasurable/Basic.lean,Mathlib/MeasureTheory/Function/UniformIntegrable.lean,Mathlib/MeasureTheory/Integral/Bochner.lean,Mathlib/MeasureTheory/Integral/MeanInequalities.lean,Mathlib/MeasureTheory/Integral/SetIntegral.lean,Mathlib/MeasureTheory/Integral/VitaliCaratheodory.lean,Mathlib/MeasureTheory/Measure/Hausdorff.lean,Mathlib/MeasureTheory/Measure/Lebesgue/Basic.lean,Mathlib/MeasureTheory/Measure/LevyProkhorovMetric.lean,Mathlib/MeasureTheory/Measure/MeasureSpace.lean,Mathlib/MeasureTheory/Measure/MeasureSpaceDef.lean,Mathlib/MeasureTheory/Measure/Regular.lean,Mathlib/MeasureTheory/Measure/Typeclasses.lean,Mathlib/NumberTheory/Padics/PadicNumbers.lean,Mathlib/Order/Filter/Pointwise.lean,Mathlib/Probability/Kernel/Defs.lean,Mathlib/Probability/Martingale/Convergence.lean,Mathlib/RingTheory/Multiplicity.lean,Mathlib/RingTheory/MvPowerSeries/NoZeroDivisors.lean,Mathlib/RingTheory/UniqueFactorizationDomain.lean,Mathlib/Topology/EMetricSpace/Defs.lean,Mathlib/Topology/MetricSpace/Bounded.lean,Mathlib/Topology/MetricSpace/HausdorffDistance.lean,Mathlib/Topology/MetricSpace/Lipschitz.lean |
57 |
30 |
['Command-Master', 'YaelDillies', 'github-actions'] |
nobody |
579-12028 1 year ago |
579-12028 579 days ago |
7-45599 7 days |
| 19212 |
Julian author:Julian |
feat(LinearAlgebra): add a variable_alias for VectorSpace |
Taken directly from the variable_alias docs.
Zulip: https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/why.20.5Bvariable_alias.5D.20attribute.20is.20not.20used.20in.20Mathlib.3F
---
This is the first actual variable alias added to mathlib. I haven't reviewed variable_alias fully, but it seems like there's at least 3 ways they could be distributed in Mathlib:
* alongside whatever subfolder they "belong to" (which is what I've tentatively done here)
* In a file called `Aliases` somewhere near the thing they alias (which seems less discoverable to me)
* In a single file, a la `Mathlib.TrainingWheels` (with some less playful name) which is meant to define a bunch of more "friendly" aliases all in one place.
I kind of like the idea of the third thing as a future module but perhaps it can be synthesized if/when there are more aliases? For now as I say I've done the first one, but please let me know if someone prefers something else.
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebra
label:t-algebra$ |
25/0 |
Mathlib.lean,Mathlib/LinearAlgebra/VectorSpace.lean,scripts/noshake.json |
3 |
10 |
['Julian', 'PieterCuijpers', 'github-actions', 'urkud'] |
nobody |
558-75183 1 year ago |
558-75183 558 days ago |
7-68089 7 days |
| 19337 |
zeramorphic author:zeramorphic |
feat(Data/Finsupp): generalise `Finsupp` to any "zero" value |
Remove the explicit dependence of `Finsupp` on `[Zero M]`, instead defining `Finsupp'` (better name pending) to be functions that are equal to a fixed value `z : M` cofinitely often.
This PR is intended to do the initial work of replacing the definition of `Finsupp` with an instantiation of the more general definition, without adding any appropriate API. If accepted, the API development will follow in later PRs.
Issues to consider:
- Naming of `Finsupp'.`
- Where should `Finsupp'` lemmas go? Do they need their own file/folder under `Data/`?
Relevant Zulip threads:
- https://leanprover.zulipchat.com/#narrow/channel/217875-Is-there-code-for-X.3F/topic/Finsupp.20generalisations
- https://leanprover.zulipchat.com/#narrow/channel/217875-Is-there-code-for-X.3F/topic/Finsupp-like.20partial.20function
Comments are welcome.
---
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|
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 |
556-51260 1 year ago |
556-51260 556 days ago |
4-60621 4 days |
| 18756 |
astrainfinita author:astrainfinita |
refactor: deprecate `DistribMulActionSemiHomClass` `MulSemiringActionSemiHomClass` |
---
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|
merge-conflict
t-algebra
label:t-algebra$ |
50/28 |
Mathlib/Algebra/Algebra/NonUnitalHom.lean,Mathlib/Algebra/Module/LinearMap/Defs.lean,Mathlib/GroupTheory/GroupAction/Hom.lean |
3 |
4 |
['astrainfinita', 'github-actions', 'leanprover-bot'] |
nobody |
545-16929 1 year ago |
545-16929 545 days ago |
31-53021 31 days |
| 16120 |
awainverse author:awainverse |
feat(ModelTheory/Algebra/Ring/Basic): Ring homomorphisms are a `StrongHomClass` for the language of rings |
Adds an `IsAlgebraic` instance to the language of rings
Adds a `StrongHomClass` instance to the type of ring homomorphisms between rings with `CompatibleRing` structures
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|
merge-conflict
t-algebra
RFC
t-logic
label:t-algebra$ |
34/13 |
Mathlib/ModelTheory/Algebra/Ring/Basic.lean |
1 |
10 |
['ChrisHughes24', 'YaelDillies', 'awainverse', 'github-actions', 'jcommelin'] |
nobody |
517-33103 1 year ago |
517-33103 517 days ago |
135-29017 135 days |
| 20527 |
trivial1711 author:trivial1711 |
refactor(Topology/UniformSpace/Completion): more descriptive names for `α → Completion α` |
- We rename the various maps `α → Completion α` in order to make their names more consistent.
- Let `α` be a uniform space. We rename the uniformly continuous function `α → Completion α` from `UniformSpace.Completion.coe'` to `UniformSpace.Completion.coe`.
- Let `α` be a uniform additive group. We rename the additive group homomorphism `α →+ Completion α` from `UniformSpace.Completion.toCompl` to `UniformSpace.Completion.coeAddHom`.
- Let `α` be a uniform ring. The ring homomorphism `α →+* Completion α` is called `UniformSpace.Completion.coeRingHom`; its name is unchanged.
- Let `α` be a normed space over a field `𝕜`. We rename the linear isometry `α →ₗᵢ[𝕜] Completion α` from `UniformSpace.Completion.toComplₗᵢ` to `UniformSpace.Completion.coeₗᵢ`.
- Let `α` be a normed space over a field `𝕜`. We rename the continuous linear map `α →L[𝕜] Completion α` from `UniformSpace.Completion.toComplL` to `UniformSpace.Completion.coeL`.
- Let `α` be a normed additive group. We rename the norm preserving homomorphism `NormedAddGroupHom α (Completion α)` from `NormedAddCommGroup.toCompl` to `UniformSpace.Completion.coeNormedAddGroupHom`.
- We analogously rename some other theorems.
- We add some trivial theorems (all of which are proved by `rfl`) that state that the functions considered above are equal. We give all of them the `simp` and `norm_cast` attributes.
- We add a new theorem `UniformSpace.Completion.coeAddHom_eq_coe` that states that `UniformSpace.Completion.coeAddHom` and `UniformSpace.Completion.coe` are equal as functions.
- We similarly add a new theorem `UniformSpace.Completion.coeRingHom_eq_coe`.
- We rename the theorem `UniformSpace.Completion.coe_toComplₗᵢ` to `UniformSpace.Completion.coeₗᵢ_eq_coe`.
- We rename the theorem `UniformSpace.Completion.coe_toComplL` to `UniformSpace.Completion.coeL_eq_coe`.
- We similarly add a new theorem `UniformSpace.Completion.coeNormedAddGroupHom_eq_coe`.
- We change all occurrences of the string `((↑) : α → Completion α)` to `(coe : α → Completion α)` or just `coe`.
- We put the statements of some theorems into simp normal form by using the plain function `coe` rather than the homomorphisms that carry more structure.
---
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merge-conflict
t-topology
|
130/92 |
Mathlib/Analysis/Analytic/Uniqueness.lean,Mathlib/Analysis/Calculus/FDeriv/Analytic.lean,Mathlib/Analysis/Complex/AbsMax.lean,Mathlib/Analysis/Complex/Liouville.lean,Mathlib/Analysis/InnerProductSpace/Completion.lean,Mathlib/Analysis/Normed/Group/HomCompletion.lean,Mathlib/Analysis/Normed/Module/Completion.lean,Mathlib/Analysis/SpecialFunctions/NonIntegrable.lean,Mathlib/MeasureTheory/Integral/IntegralEqImproper.lean,Mathlib/Topology/Algebra/GroupCompletion.lean,Mathlib/Topology/Algebra/InfiniteSum/GroupCompletion.lean,Mathlib/Topology/Algebra/InfiniteSum/Nonarchimedean.lean,Mathlib/Topology/Algebra/Nonarchimedean/Completion.lean,Mathlib/Topology/Algebra/UniformRing.lean,Mathlib/Topology/Category/UniformSpace.lean,Mathlib/Topology/MetricSpace/Completion.lean,Mathlib/Topology/UniformSpace/Completion.lean |
17 |
4 |
['eric-wieser', 'github-actions', 'trivial1711'] |
nobody |
510-64135 1 year ago |
510-64135 510 days ago |
6-66637 6 days |
| 18474 |
FR-vdash-bot author:FR-vdash-bot |
perf: lower the priority of `*WithOne.to*` instances |
---
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From #7873.
[](https://gitpod.io/from-referrer/)
|
merge-conflict
slow-typeclass-synthesis
t-algebra
t-data
label:t-algebra$ |
9/2 |
Mathlib/Algebra/Polynomial/BigOperators.lean,Mathlib/Data/Int/Cast/Defs.lean,Mathlib/Data/Nat/Cast/Defs.lean |
3 |
7 |
['astrainfinita', 'eric-wieser', 'github-actions', 'leanprover-bot'] |
nobody |
508-51165 1 year ago |
508-51165 508 days ago |
76-66907 76 days |
| 20372 |
jvlmdr author:jvlmdr |
feat(MeasureTheory/Function): Add ContinuousLinearMap.bilinearCompLp(L) |
Introduce ContinuousLinearMap.bilinearCompLp and bilinearCompLpL.
Generalize eLpNorm_le_eLpNorm_mul_eLpNorm theorems to include constant C in bound condition.
---
Expect this may be useful for defining tempered distributions from functions in `L^p`.
The definitions more or less follow `ContinuousLinearMap.compLp...`. Names are loosely analogous to `ContinuousLinearMap.bilinearComp` and `SchwartzMap.bilinLeftCLM`.
Note: I preferred the spelling `hpqr : p⁻¹ + q⁻¹ = r⁻¹` with `f` in `L^p` and `g` in `L^q` to `hpqr : 1 / p = 1 / q + 1 / r`. It's easier to obtain from `ENNReal.IsConjExponent` too.
A few questions:
- [ ] I defined `bilinear{Left,Right}LpL` in addition to `bilinearCompLpL` because `LinearMap.mkContinuous₂` is marked as `noncomputable` and `LinearMap.mkContinuous` is not. Is this worth the extra definitions? (Note: This is not visible in the source due to `noncomputable section`.)
- [ ] Should I use `C : ℝ` instead of `C : NNReal` for `eLpNorm_le_eLpNorm_mul_eLpNorm'_of_norm'`?
- [ ] Is it going to be painful to have `[Fact (1 ≤ p)] [Fact (1 ≤ q)] [Fact (1 ≤ r)]`? I don't think there's a way to avoid it though. Maybe providing specialized versions for `p.IsConjExponent q` with `L^1`?
Naming:
- [ ] Is it satisfactory to add a `'` to the `eLpNorm_le_eLpNorm_mul_eLpNorm ` definitions in `CompareExp.lean` where `≤ ‖f x‖ * ‖g x‖` has been replaced with `≤ C * ‖f x‖ * ‖g x‖`? These could replace the existing theorems, although I don't want to break backwards compatibility. There are 5 instances: `eLpNorm_le_eLpNorm_top_mul_eLpNorm'`, `eLpNorm_le_eLpNorm_mul_eLpNorm_top'`, `eLpNorm'_le_eLpNorm'_mul_eLpNorm''`, `eLpNorm_le_eLpNorm_mul_eLpNorm_of_nnnorm'`, `eLpNorm_le_eLpNorm_mul_eLpNorm'_of_norm'` (I'm not sure why the existing theorem `eLpNorm_le_eLpNorm_mul_eLpNorm'_of_norm` has an internal `'`)
- [ ] Is `bilinearLeftLpL` a suitable name? Other options: `bilinearCompLpLeftL`, `bilinearCompLeftLpL`, `bilinLeftLpL` (analogous to `SchwartzMap.bilinLeftCLM`)
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|
merge-conflict
t-measure-probability
new-contributor
|
203/40 |
Mathlib/MeasureTheory/Function/LpSeminorm/CompareExp.lean,Mathlib/MeasureTheory/Function/LpSpace.lean |
2 |
1 |
['github-actions'] |
nobody |
495-75422 1 year ago |
495-75422 495 days ago |
27-43617 27 days |
| 21959 |
BGuillemet author:BGuillemet |
feat(Topology/ContinuousMap): Stone-Weierstrass theorem for MvPolynomial |
Add the subalgebra of multivariate polynomials and prove it separates points, on the same model as `ContinuousMap/Polynomial.lean`.
Prove the Stone-Weierstrass theorem and some variations for multivariate polynomials.
---
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[](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 |
459-61443 1 year ago |
459-61443 459 days ago |
16-76141 16 days |
| 18470 |
FR-vdash-bot author:FR-vdash-bot |
perf: lower the priority of `Normed*.to*` instances |
---
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From #7873.
[](https://gitpod.io/from-referrer/)
|
merge-conflict
slow-typeclass-synthesis
t-algebra
t-analysis
label:t-algebra$ |
28/0 |
Mathlib/Analysis/Normed/Field/Basic.lean,Mathlib/Analysis/Normed/Group/Basic.lean |
2 |
9 |
['astrainfinita', 'github-actions', 'jcommelin', 'leanprover-bot'] |
nobody |
455-32870 1 year ago |
455-32870 455 days ago |
129-16341 129 days |
| 8767 |
eric-wieser author:eric-wieser |
refactor(Cache): tidy lake-manifest parsing in Cache |
This now respects local copies of Mathlib dependencies (though in practice these invalidate the *online* cache because to point to local copies of Mathlib, the hash for `lakefile.lean` and `lake-manifest.json` is first invalidated).
---
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- [x] depends on: #11492
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-meta
|
49/49 |
Cache/Hashing.lean,Cache/IO.lean,lake-manifest.json |
3 |
8 |
['digama0', 'eric-wieser', 'github-actions', 'leanprover-community-mathlib4-bot'] |
nobody |
452-32602 1 year ago |
633-84952 633 days ago |
119-35643 119 days |
| 22660 |
Ruben-VandeVelde author:Ruben-VandeVelde |
chore: follow naming convention around Group.IsNilpotent |
---
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[](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 |
447-83698 1 year ago |
447-83698 447 days ago |
10-48025 10 days |
| 21488 |
imbrem author:imbrem |
feat(CategoryTheory/Monoidal): premonoidal categories |
Add support for premonoidal categories
---
Still want to add support for:
- Premonoidal braided/symmetric categories
- The monoidal coherence theorem, which I've already ported in my `discretion` library
- The `coherence` tactic, which should work fine for premonoidal categories too
but wanted to get this in front of reviewers ASAP to make sure my general approach was alright
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[](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 |
424-69845 1 year ago |
424-69846 424 days ago |
58-6026 58 days |
| 21525 |
sinhp author:sinhp |
feat(CategoryTheory): Locally Cartesian Closed Categories (Prelim) |
This PR defines the basic preliminaries for defining locally cartesian closed categories (LCCCs). In particular, using the calculus of mates we define certain natural isomorphisms involving `Over.star` and `Over.pullback` which will be crucial in defining the right adjoint to the pullback functor in the development of LCCCs.
---
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|
merge-conflict
t-category-theory
large-import
|
338/24 |
Mathlib/CategoryTheory/Comma/Over/Basic.lean,Mathlib/CategoryTheory/Comma/Over/Pullback.lean,Mathlib/CategoryTheory/Galois/Examples.lean |
3 |
13 |
['b-mehta', 'github-actions', 'joelriou', 'leanprover-community-bot-assistant', 'sinhp'] |
nobody |
424-69843 1 year ago |
424-69845 424 days ago |
36-69400 36 days |
| 16314 |
FR-vdash-bot author:FR-vdash-bot |
chore(Data/Quot): deprecate `ind*'` APIs |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-data
|
247/287 |
Counterexamples/CliffordAlgebraNotInjective.lean,Mathlib/Algebra/Colimit/Module.lean,Mathlib/Algebra/Lie/Quotient.lean,Mathlib/Algebra/Module/Torsion.lean,Mathlib/Algebra/RingQuot.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Angle.lean,Mathlib/CategoryTheory/ConnectedComponents.lean,Mathlib/CategoryTheory/Subobject/Basic.lean,Mathlib/CategoryTheory/Subobject/FactorThru.lean,Mathlib/CategoryTheory/Subobject/Lattice.lean,Mathlib/Computability/Reduce.lean,Mathlib/Computability/Tape.lean,Mathlib/Data/List/Cycle.lean,Mathlib/Data/Multiset/MapFold.lean,Mathlib/Data/Multiset/ZeroCons.lean,Mathlib/Data/Quot.lean,Mathlib/Data/Setoid/Basic.lean,Mathlib/Data/Setoid/Partition.lean,Mathlib/FieldTheory/Fixed.lean,Mathlib/GroupTheory/Complement.lean,Mathlib/GroupTheory/Congruence/Basic.lean,Mathlib/GroupTheory/Congruence/Defs.lean,Mathlib/GroupTheory/Congruence/Hom.lean,Mathlib/GroupTheory/Coset/Basic.lean,Mathlib/GroupTheory/Coset/Defs.lean,Mathlib/GroupTheory/FreeAbelianGroup.lean,Mathlib/GroupTheory/GroupAction/Basic.lean,Mathlib/GroupTheory/GroupAction/Defs.lean,Mathlib/GroupTheory/GroupAction/Quotient.lean,Mathlib/GroupTheory/Index.lean,Mathlib/GroupTheory/MonoidLocalization/Basic.lean,Mathlib/GroupTheory/PGroup.lean,Mathlib/GroupTheory/Perm/Cycle/Concrete.lean,Mathlib/GroupTheory/PresentedGroup.lean,Mathlib/GroupTheory/QuotientGroup/Basic.lean,Mathlib/GroupTheory/QuotientGroup/Defs.lean,Mathlib/GroupTheory/SchurZassenhaus.lean,Mathlib/GroupTheory/Sylow.lean,Mathlib/LinearAlgebra/Alternating/DomCoprod.lean,Mathlib/LinearAlgebra/Projectivization/Basic.lean,Mathlib/LinearAlgebra/Quotient/Basic.lean,Mathlib/LinearAlgebra/Quotient/Defs.lean,Mathlib/MeasureTheory/Function/AEEqFun.lean,Mathlib/NumberTheory/Padics/PadicNumbers.lean,Mathlib/NumberTheory/RamificationInertia/Basic.lean,Mathlib/Order/Antisymmetrization.lean,Mathlib/Order/Category/PartOrd.lean,Mathlib/Order/Filter/Germ/Basic.lean,Mathlib/RepresentationTheory/GroupCohomology/Hilbert90.lean,Mathlib/RingTheory/AdicCompletion/Algebra.lean,Mathlib/RingTheory/AdicCompletion/Basic.lean,Mathlib/RingTheory/AdicCompletion/Functoriality.lean,Mathlib/RingTheory/AdjoinRoot.lean,Mathlib/RingTheory/Congruence/Basic.lean,Mathlib/RingTheory/Flat/FaithfullyFlat/Basic.lean,Mathlib/RingTheory/GradedAlgebra/HomogeneousLocalization.lean,Mathlib/RingTheory/Ideal/Cotangent.lean,Mathlib/RingTheory/Ideal/Norm/AbsNorm.lean,Mathlib/RingTheory/Ideal/Quotient/Basic.lean,Mathlib/RingTheory/Ideal/Quotient/Defs.lean,Mathlib/RingTheory/Ideal/Quotient/Operations.lean,Mathlib/RingTheory/Valuation/Quotient.lean,Mathlib/Topology/Algebra/Group/TopologicalAbelianization.lean,Mathlib/Topology/Algebra/InfiniteSum/Module.lean,Mathlib/Topology/Separation/Basic.lean |
65 |
4 |
['github-actions', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot'] |
nobody |
419-8409 1 year ago |
419-8411 419 days ago |
55-52030 55 days |
| 15483 |
FR-vdash-bot author:FR-vdash-bot |
chore(GroupTheory/Coset): reduce defeq abuse |
---
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|
merge-conflict
t-algebra
label:t-algebra$ |
114/60 |
Mathlib/GroupTheory/Commensurable.lean,Mathlib/GroupTheory/Coset.lean,Mathlib/GroupTheory/QuotientGroup.lean,Mathlib/LinearAlgebra/Alternating/DomCoprod.lean,Mathlib/MeasureTheory/Measure/Haar/Quotient.lean,Mathlib/Topology/Algebra/Group/Compact.lean |
6 |
14 |
['astrainfinita', 'eric-wieser', 'github-actions', 'grunweg', 'leanprover-bot', 'leanprover-community-mathlib4-bot', 'mattrobball', 'mergify', 'urkud'] |
nobody |
418-39702 1 year ago |
666-78032 666 days ago |
4-79214 4 days |
| 16594 |
FR-vdash-bot author:FR-vdash-bot |
perf: reorder `extends` and remove some instances in algebra hierarchy |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
slow-typeclass-synthesis
t-algebra
label:t-algebra$ |
240/92 |
Mathlib.lean,Mathlib/Algebra/Algebra/Hom.lean,Mathlib/Algebra/Associated/Basic.lean,Mathlib/Algebra/BigOperators/Ring/List.lean,Mathlib/Algebra/Field/Defs.lean,Mathlib/Algebra/GCDMonoid/Basic.lean,Mathlib/Algebra/Group/Defs.lean,Mathlib/Algebra/Group/Ext.lean,Mathlib/Algebra/Group/Opposite.lean,Mathlib/Algebra/Group/Prod.lean,Mathlib/Algebra/GroupWithZero/Defs.lean,Mathlib/Algebra/GroupWithZero/Prod.lean,Mathlib/Algebra/Homology/Embedding/Basic.lean,Mathlib/Algebra/Order/AddGroupWithTop.lean,Mathlib/Algebra/Order/Field/Canonical/Defs.lean,Mathlib/Algebra/Order/Field/Defs.lean,Mathlib/Algebra/Order/Group/Unbundled/Abs.lean,Mathlib/Algebra/Order/GroupWithZero/Canonical.lean,Mathlib/Algebra/Order/Ring/Canonical.lean,Mathlib/Algebra/Order/Ring/Defs.lean,Mathlib/Algebra/Polynomial/Roots.lean,Mathlib/Algebra/Quaternion.lean,Mathlib/Algebra/Ring/Defs.lean,Mathlib/Algebra/Ring/Ext.lean,Mathlib/Algebra/Ring/InjSurj.lean,Mathlib/Algebra/Ring/Rat.lean,Mathlib/Algebra/Ring/SumsOfSquares.lean,Mathlib/Algebra/Tropical/Basic.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Order.lean,Mathlib/Analysis/InnerProductSpace/Symmetric.lean,Mathlib/CategoryTheory/Preadditive/FunctorCategory.lean,Mathlib/Data/Finset/NoncommProd.lean,Mathlib/Data/Int/Cast/Defs.lean,Mathlib/FieldTheory/IsAlgClosed/AlgebraicClosure.lean,Mathlib/FieldTheory/SplittingField/Construction.lean,Mathlib/GroupTheory/Congruence/Basic.lean,Mathlib/GroupTheory/MonoidLocalization/MonoidWithZero.lean,Mathlib/GroupTheory/Torsion.lean,Mathlib/LinearAlgebra/LinearPMap.lean,Mathlib/LinearAlgebra/TensorProduct/Basic.lean,Mathlib/Order/Filter/Germ/Basic.lean,Mathlib/Order/Interval/Finset/Box.lean,Mathlib/RingTheory/Bialgebra/Hom.lean,Mathlib/RingTheory/Coalgebra/Hom.lean,Mathlib/RingTheory/Ideal/Quotient.lean,Mathlib/RingTheory/Perfection.lean,Mathlib/RingTheory/TensorProduct/Basic.lean,Mathlib/RingTheory/TensorProduct/MvPolynomial.lean,Mathlib/Util/NoInstances.lean,scripts/noshake.json |
50 |
8 |
['astrainfinita', 'github-actions', 'grunweg', 'leanprover-bot'] |
nobody |
418-39478 1 year ago |
622-79025 622 days ago |
14-58900 14 days |
| 23859 |
urkud author:urkud |
feat(Topology/../Order/Field): generalize to `Semifield` |
.. from a linear ordered field to a linear ordered semifield---
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merge-conflict
t-topology
|
245/219 |
Mathlib/Algebra/Order/Group/Pointwise/Interval.lean,Mathlib/Analysis/BoxIntegral/Box/SubboxInduction.lean,Mathlib/Topology/Algebra/Order/Field.lean,Mathlib/Topology/Order/Basic.lean |
4 |
3 |
['github-actions', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot'] |
nobody |
411-82719 1 year ago |
425-6960 425 days ago |
0-265 4 minutes |
| 23810 |
b-reinke author:b-reinke |
chore(Order/Interval): generalize succ/pred lemmas to partial orders |
Many lemmas in `Mathlib/Order/Interval/Set/SuccPred.lean`and `Mathlib/Order/Interval/Finset/SuccPred.lean` also work for partial orders. They are generalized in this PR by introducing different sections for `PartialOrder` and `LinearOrder` assumptions in the respective files.
---
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|
merge-conflict
t-order
|
231/89 |
Mathlib/Order/Interval/Finset/SuccPred.lean,Mathlib/Order/Interval/Set/SuccPred.lean |
2 |
2 |
['github-actions', 'leanprover-community-bot-assistant'] |
nobody |
409-59494 1 year ago |
409-59496 409 days ago |
16-29623 16 days |
| 24285 |
madvorak author:madvorak |
chore(Algebra/*-{Category,Homology}): remove unnecessary universe variables |
Discussions:
https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Call.20for.20help.3A.20technical.2F.20organisational.20debt/with/513620128
https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Algebra.20and.20.60Type*.60/with/513558902
https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Task.2026.3A.20Replace.20Type.20u.20by.20Type*.20wherever.20possible/with/513592993
---
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merge-conflict
t-algebra
label:t-algebra$ |
542/916 |
Mathlib/Algebra/AddTorsor/Basic.lean,Mathlib/Algebra/Algebra/Defs.lean,Mathlib/Algebra/Algebra/Equiv.lean,Mathlib/Algebra/Algebra/Field.lean,Mathlib/Algebra/Algebra/Hom.lean,Mathlib/Algebra/Algebra/Operations.lean,Mathlib/Algebra/Algebra/Spectrum/Basic.lean,Mathlib/Algebra/Algebra/Subalgebra/Lattice.lean,Mathlib/Algebra/Algebra/Subalgebra/Tower.lean,Mathlib/Algebra/Algebra/Tower.lean,Mathlib/Algebra/Central/Basic.lean,Mathlib/Algebra/Central/Defs.lean,Mathlib/Algebra/Central/TensorProduct.lean,Mathlib/Algebra/CharP/Pi.lean,Mathlib/Algebra/CharP/Quotient.lean,Mathlib/Algebra/CharP/Subring.lean,Mathlib/Algebra/DirectSum/Algebra.lean,Mathlib/Algebra/DirectSum/Basic.lean,Mathlib/Algebra/DirectSum/Finsupp.lean,Mathlib/Algebra/DirectSum/Module.lean,Mathlib/Algebra/EuclideanDomain/Basic.lean,Mathlib/Algebra/EuclideanDomain/Defs.lean,Mathlib/Algebra/Field/Basic.lean,Mathlib/Algebra/Field/Defs.lean,Mathlib/Algebra/Field/IsField.lean,Mathlib/Algebra/Field/MinimalAxioms.lean,Mathlib/Algebra/Field/Subfield/Basic.lean,Mathlib/Algebra/Field/Subfield/Defs.lean,Mathlib/Algebra/FreeNonUnitalNonAssocAlgebra.lean,Mathlib/Algebra/Group/Conj.lean,Mathlib/Algebra/Group/Defs.lean,Mathlib/Algebra/Group/Equiv/Finite.lean,Mathlib/Algebra/Group/Ext.lean,Mathlib/Algebra/Group/Hom/End.lean,Mathlib/Algebra/Group/Hom/Instances.lean,Mathlib/Algebra/Group/Invertible/Basic.lean,Mathlib/Algebra/Group/Invertible/Defs.lean,Mathlib/Algebra/Group/Pi/Basic.lean,Mathlib/Algebra/Group/Pi/Lemmas.lean,Mathlib/Algebra/Group/TypeTags/Basic.lean,Mathlib/Algebra/Group/TypeTags/Finite.lean,Mathlib/Algebra/Group/TypeTags/Hom.lean,Mathlib/Algebra/Group/Units/Basic.lean,Mathlib/Algebra/Group/Units/Defs.lean,Mathlib/Algebra/Group/Units/Hom.lean,Mathlib/Algebra/Group/WithOne/Basic.lean,Mathlib/Algebra/Group/WithOne/Defs.lean,Mathlib/Algebra/GroupWithZero/Action/Pi.lean,Mathlib/Algebra/GroupWithZero/Defs.lean,Mathlib/Algebra/GroupWithZero/Invertible.lean,Mathlib/Algebra/GroupWithZero/NeZero.lean,Mathlib/Algebra/Lie/Abelian.lean,Mathlib/Algebra/Lie/Basic.lean,Mathlib/Algebra/Lie/CartanMatrix.lean,Mathlib/Algebra/Lie/CartanSubalgebra.lean,Mathlib/Algebra/Lie/Character.lean,Mathlib/Algebra/Lie/Classical.lean,Mathlib/Algebra/Lie/DirectSum.lean,Mathlib/Algebra/Lie/Free.lean,Mathlib/Algebra/Lie/Ideal.lean,Mathlib/Algebra/Lie/IdealOperations.lean,Mathlib/Algebra/Lie/Matrix.lean,Mathlib/Algebra/Lie/Nilpotent.lean,Mathlib/Algebra/Lie/NonUnitalNonAssocAlgebra.lean,Mathlib/Algebra/Lie/OfAssociative.lean,Mathlib/Algebra/Lie/Quotient.lean,Mathlib/Algebra/Lie/SkewAdjoint.lean,Mathlib/Algebra/Lie/Solvable.lean,Mathlib/Algebra/Lie/Subalgebra.lean,Mathlib/Algebra/Lie/Submodule.lean,Mathlib/Algebra/Lie/TensorProduct.lean,Mathlib/Algebra/Lie/UniversalEnveloping.lean,Mathlib/Algebra/Module/Basic.lean,Mathlib/Algebra/Module/CharacterModule.lean,Mathlib/Algebra/Module/DedekindDomain.lean,Mathlib/Algebra/Module/Defs.lean,Mathlib/Algebra/Module/End.lean,Mathlib/Algebra/Module/Equiv/Opposite.lean,Mathlib/Algebra/Module/Lattice.lean,Mathlib/Algebra/Module/LinearMap/Basic.lean,Mathlib/Algebra/Module/LinearMap/Defs.lean,Mathlib/Algebra/Module/LinearMap/End.lean,Mathlib/Algebra/Module/LocalizedModule/Basic.lean,Mathlib/Algebra/Module/MinimalAxioms.lean,Mathlib/Algebra/Module/NatInt.lean,Mathlib/Algebra/Module/Opposite.lean,Mathlib/Algebra/Module/Pi.lean,Mathlib/Algebra/Module/Presentation/Differentials.lean,Mathlib/Algebra/Module/Presentation/Tensor.lean,Mathlib/Algebra/Module/Rat.lean,Mathlib/Algebra/Module/RingHom.lean,Mathlib/Algebra/Module/Submodule/Basic.lean,Mathlib/Algebra/Module/Torsion.lean,Mathlib/Algebra/MonoidAlgebra/Basic.lean,Mathlib/Algebra/MonoidAlgebra/Defs.lean,Mathlib/Algebra/MonoidAlgebra/Support.lean,Mathlib/Algebra/MvPolynomial/Basic.lean,Mathlib/Algebra/MvPolynomial/CommRing.lean,Mathlib/Algebra/MvPolynomial/Degrees.lean,Mathlib/Algebra/MvPolynomial/Equiv.lean |
182 |
22 |
['erdOne', 'github-actions', 'leanprover-bot', 'leanprover-community-bot-assistant', 'madvorak', 'mattrobball'] |
nobody |
409-48191 1 year ago |
409-48192 409 days ago |
2-11655 2 days |
| 23349 |
BGuillemet author:BGuillemet |
feat: add LocallyLipschitzOn.lipschitzOnWith_of_isCompact and two small lemmas about Lipschitz functions |
Main feat (in Mathlib/Topology/EMetricSpace/Basic.lean): if a function `f` from an extended pseudometric space to a pseudometric space is locally Lipschitz on a compact subset `s`, then `f` is Lipschitz on `s`. The theorem is true only when the codomain of `f` is a pseudometric space, so it needs imports from Mathlib/Topology/MetricSpace.
Other small feat (in Mathlib/Analysis/Calculus/ContDiff/RCLike.lean): a function that is continuously differentiable on an open subset is locally Lipschitz on this subset.
---
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|
merge-conflict
t-topology
large-import
new-contributor
|
59/4 |
Mathlib/Analysis/Calculus/ContDiff/RCLike.lean,Mathlib/Topology/EMetricSpace/Lipschitz.lean |
2 |
4 |
['github-actions', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot'] |
PatrickMassot assignee:PatrickMassot |
376-54941 1 year ago |
376-54943 376 days ago |
35-30364 35 days |
| 16020 |
adomani author:adomani |
feat: compare PR `olean`s size with `master` |
Adds two CI steps:
* `print the sizes of the oleans` that prints the sizes of all the folders containing `Mathlib` `.olean`s;
* `compare oleans` that compares the sizes of the previous step with the corresponding sizes on `master`.
In the test runs, the two steps have taken at most 3 seconds combined (the first is virtually instantaneous, the second one depends on `curl` to find a job id and on `gh` to retrieve the logs of a previous CI run -- everything else appears to be negligible).
This hopefully helps finding out if some PR is bloating up the `.olean`s.
See [this Zulip discussion](https://leanprover.zulipchat.com/#narrow/stream/287929-mathlib4/topic/Error.3A.20No.20space.20left.20on.20device/near/463792355) for a PR of mine that prompted this check.
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|
merge-conflict
CI
|
120/0 |
.github/build.in.yml,.github/workflows/bors.yml,.github/workflows/build.yml,.github/workflows/build_fork.yml,scripts/olean_comparison.sh |
5 |
50 |
['Vtec234', 'YaelDillies', 'adomani', 'bryangingechen', 'github-actions', 'grunweg', 'kim-em', 'leanprover-community-bot-assistant', 'mattrobball'] |
nobody |
367-18548 1 year ago |
367-18550 367 days ago |
285-26861 285 days |
| 25340 |
dupuisf author:dupuisf |
chore(Analysis/Convex): move files pertaining to convex/concave functions to their own folder |
This PR creates a new folder under `Analysis/Convex` called `Analysis/Convex/Function`, which includes files that are mostly or entirely about convex/concave functions (as opposed to convex sets).
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|
merge-conflict
t-convex-geometry
|
4264/4155 |
Mathlib.lean,Mathlib/Analysis/Convex/Continuous.lean,Mathlib/Analysis/Convex/Deriv.lean,Mathlib/Analysis/Convex/Exposed.lean,Mathlib/Analysis/Convex/Extrema.lean,Mathlib/Analysis/Convex/Function.lean,Mathlib/Analysis/Convex/Function/Basic.lean,Mathlib/Analysis/Convex/Function/Continuous.lean,Mathlib/Analysis/Convex/Function/Deriv.lean,Mathlib/Analysis/Convex/Function/Extrema.lean,Mathlib/Analysis/Convex/Function/Integral.lean,Mathlib/Analysis/Convex/Function/Jensen.lean,Mathlib/Analysis/Convex/Function/Mul.lean,Mathlib/Analysis/Convex/Function/Piecewise.lean,Mathlib/Analysis/Convex/Function/Quasiconvex.lean,Mathlib/Analysis/Convex/Function/Slope.lean,Mathlib/Analysis/Convex/Function/Strong.lean,Mathlib/Analysis/Convex/Integral.lean,Mathlib/Analysis/Convex/Jensen.lean,Mathlib/Analysis/Convex/Mul.lean,Mathlib/Analysis/Convex/Piecewise.lean,Mathlib/Analysis/Convex/Quasiconvex.lean,Mathlib/Analysis/Convex/Slope.lean,Mathlib/Analysis/Convex/SpecificFunctions/Basic.lean,Mathlib/Analysis/Convex/SpecificFunctions/Deriv.lean,Mathlib/Analysis/Convex/Strong.lean,Mathlib/Analysis/MeanInequalities.lean,Mathlib/Analysis/MeanInequalitiesPow.lean,Mathlib/Analysis/Normed/Module/Convex.lean,Mathlib/Analysis/Seminorm.lean,Mathlib/Analysis/SpecialFunctions/Log/NegMulLog.lean,Mathlib/Analysis/SpecialFunctions/Pochhammer.lean,Mathlib/MeasureTheory/Measure/Decomposition/IntegralRNDeriv.lean,Mathlib/NumberTheory/Harmonic/GammaDeriv.lean |
34 |
2 |
['github-actions', 'leanprover-community-bot-assistant'] |
nobody |
365-77768 1 year ago |
365-77770 365 days ago |
6-38644 6 days |
| 18441 |
ADedecker author:ADedecker |
refactor(AdicTopology): use new API for algebraic filter bases, and factor some code |
---
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|
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 |
353-69509 11 months ago |
585-67408 585 days ago |
0-679 11 minutes |
| 18439 |
ADedecker author:ADedecker |
refactor: use new algebraic filter bases API in `FiniteAdeleRing` |
---
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|
merge-conflict
t-topology
t-algebra
label:t-algebra$ |
699/21 |
Mathlib.lean,Mathlib/RingTheory/DedekindDomain/FiniteAdeleRing.lean,Mathlib/Topology/Algebra/FilterBasis.lean,Mathlib/Topology/Algebra/FilterBasisNew.lean,Mathlib/Topology/Algebra/Nonarchimedean/Bases.lean,Mathlib/Topology/Algebra/Nonarchimedean/BasesNew.lean |
6 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
353-69507 11 months ago |
585-69051 585 days ago |
0-619 10 minutes |
| 18438 |
ADedecker author:ADedecker |
refactor: adapt `KrullTopology` to the new algebraic filter bases API |
---
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|
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 |
353-69506 11 months ago |
585-69693 585 days ago |
0-638 10 minutes |
| 13964 |
pechersky author:pechersky |
feat(Data/DigitExpansion): begin defining variant of reals without rationals |
Based on a de Bruijn 1976 paper.
This file is just the basic definition of a digit expansion. Will be followed up with further constructions.
---
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|
merge-conflict
t-data
|
518/0 |
Mathlib.lean,Mathlib/Data/DigitExpansion/Defs.lean,docs/references.bib |
3 |
11 |
['eric-wieser', 'github-actions', 'kim-em', 'pechersky'] |
dupuisf assignee:dupuisf |
350-51797 11 months ago |
588-78013 588 days ago |
129-57999 129 days |
| 24823 |
eric-wieser author:eric-wieser |
refactor: add `hom` lemmas for the `MonoidalCategory` structure on `ModuleCat` |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebra
label:t-algebra$ |
148/164 |
Mathlib/Algebra/Category/FGModuleCat/Basic.lean,Mathlib/Algebra/Category/ModuleCat/Adjunctions.lean,Mathlib/Algebra/Category/ModuleCat/Monoidal/Basic.lean,Mathlib/Algebra/Category/ModuleCat/Monoidal/Closed.lean,Mathlib/Algebra/Category/ModuleCat/Monoidal/Symmetric.lean,Mathlib/Algebra/Category/ModuleCat/Presheaf/Free.lean,Mathlib/Algebra/Category/ModuleCat/Presheaf/Generator.lean,Mathlib/Algebra/Category/ModuleCat/Presheaf/Monoidal.lean,Mathlib/CategoryTheory/Monoidal/Internal/Module.lean,Mathlib/RepresentationTheory/Coinvariants.lean,Mathlib/RepresentationTheory/Rep.lean |
11 |
21 |
['101damnations', 'YaelDillies', 'eric-wieser', 'github-actions', 'joelriou', 'kbuzzard', 'leanprover-community-bot-assistant'] |
101damnations assignee:101damnations |
338-16457 11 months ago |
338-16457 338 days ago |
37-56728 37 days |
| 25071 |
erdOne author:erdOne |
feat(EllipticCurve): basic API for singular cubics |
---
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|
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 |
338-16211 11 months ago |
338-16212 338 days ago |
45-4165 45 days |
| 25988 |
Multramate author:Multramate |
refactor(AlgebraicGeometry/EllipticCurve/*): replace Fin 3 with products |
This PR continues the work from #24593.
Original PR: https://github.com/leanprover-community/mathlib4/pull/24593 |
merge-conflict
t-algebraic-geometry
|
1000/1022 |
Mathlib/AlgebraicGeometry/EllipticCurve/Jacobian/Basic.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Jacobian/Formula.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Jacobian/Point.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Projective/Basic.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Projective/Formula.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Projective/Point.lean |
6 |
3 |
['Multramate', 'github-actions', 'leanprover-community-bot-assistant'] |
nobody |
338-15899 11 months ago |
338-15899 338 days ago |
18-21880 18 days |
| 26067 |
mapehe author:mapehe |
feat(Topology/StoneCech): exists_continuous_surjection_from_StoneCech_to_dense_range |
This lemma formalises the following version of the maximality property of the Stone–Čech compactification: If `f : α → β` is a continuous map from a topological space `α` to a Hausdorff space `β` with dense range, then there exists a continuous surjection from `StoneCech α` to `β` extending `f`. In particular, `StoneCech α` is the “largest” compact Hausdorff space into which `α` densely embeds, in the sense that any other such space is a continuous image of it.
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|
merge-conflict
t-topology
|
18/0 |
Mathlib/Topology/StoneCech.lean |
1 |
2 |
['github-actions', 'leanprover-community-bot-assistant'] |
nobody |
334-83677 10 months ago |
334-83677 334 days ago |
20-8582 20 days |
| 25238 |
Hagb author:Hagb |
feat(Tactic/ComputeDegree): add support for scalar multiplication with different types |
It would be able to deal with `a • (X : R[X])` where `a : S` is in a different type `S` with `[SMulZeroClass S R]`.
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-meta
new-contributor
|
17/5 |
Mathlib/Tactic/ComputeDegree.lean,MathlibTest/ComputeDegree.lean |
2 |
3 |
['github-actions', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot'] |
nobody |
307-80939 10 months ago |
338-16208 338 days ago |
38-26044 38 days |
| 18646 |
jxjwan author:jxjwan |
feat(RingTheory): isotypic components |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-ring-theory
new-contributor
|
308/0 |
Mathlib/Order/CompactlyGenerated/Basic.lean,Mathlib/RingTheory/Isotypic.lean,Mathlib/RingTheory/SimpleModule.lean |
3 |
1 |
['github-actions'] |
nobody |
306-82960 10 months ago |
559-76553 559 days ago |
20-15640 20 days |
| 26200 |
adomani author:adomani |
fix: add label when landrun fails |
Adds the `permission-denied` label on PRs that get blocked by landrun.
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|
merge-conflict
CI
|
68/8 |
.github/build.in.yml,.github/workflows/bors.yml,.github/workflows/build.yml,.github/workflows/build_fork.yml |
4 |
2 |
['github-actions', 'mathlib4-merge-conflict-bot'] |
nobody |
306-31892 10 months ago |
306-31892 306 days ago |
46-52210 46 days |
| 27987 |
kckennylau author:kckennylau |
feat(RingTheory/Valuation): define ball, closed ball, and sphere |
---
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The pullback PR of #26827 and #27451.
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-ring-theory
large-import
|
73/0 |
Mathlib/RingTheory/Valuation/Basic.lean |
1 |
4 |
['JovanGerb', 'github-actions', 'kckennylau', 'mathlib4-merge-conflict-bot'] |
nobody |
300-64024 9 months ago |
300-64025 300 days ago |
6-6455 6 days |
| 27003 |
eric-wieser author:eric-wieser |
chore: use `Simp.ResultQ` more often |
Also uses `~q` in place of manual `isDefEq` matching.
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|
merge-conflict
t-meta
|
18/22 |
Mathlib/Tactic/NormNum/Core.lean,Mathlib/Tactic/NormNum/Result.lean,Mathlib/Tactic/ReduceModChar.lean |
3 |
7 |
['JovanGerb', 'eric-wieser', 'github-actions', 'mathlib4-merge-conflict-bot'] |
JovanGerb assignee:JovanGerb |
298-78648 9 months ago |
298-78649 298 days ago |
32-70098 32 days |
| 25401 |
digama0 author:digama0 |
feat(Util): SuppressSorry option |
See also leanprover/lean4#8611 and [#lean4 > Silent sorry @ 💬](https://leanprover.zulipchat.com/#narrow/channel/270676-lean4/topic/Silent.20sorry/near/503537964). This is a stop-gap solution while leanprover/lean4#8611 is underway, but it works about as well as any other built in option. Hooking declaration elaborators turns out to be a very powerful technique.
---
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|
merge-conflict
t-meta
|
342/0 |
Mathlib.lean,Mathlib/Util/CommandElabHook.lean,Mathlib/Util/SuppressSorry.lean,MathlibTest/suppressSorry.lean |
4 |
15 |
['digama0', 'eric-wieser', 'github-actions', 'mathlib4-merge-conflict-bot'] |
alexjbest assignee:alexjbest |
298-33444 9 months ago |
298-33444 298 days ago |
71-27957 71 days |
| 28622 |
alreadydone author:alreadydone |
chore(Mathlib): replace `=>` by `↦` |
---
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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 |
292-36924 9 months ago |
292-36925 292 days ago |
0-62065 17 hours |
| 28626 |
alreadydone author:alreadydone |
chore(Archive, Counterexamples): replace => by ↦ |
---
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|
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 |
290-66050 9 months ago |
290-66051 290 days ago |
2-47136 2 days |
| 27403 |
MoritzBeroRoos author:MoritzBeroRoos |
fix: replace probably erroneous usage of ⬝ (with old \cdot) by · (with \centerdot) |
Discussion at [zulip](https://leanprover.zulipchat.com/#narrow/channel/270676-lean4/topic/.5Ccdot.20!.3D.20.5Ccenterdot).
Currently the abbreviations \cdot and \centerdot resolve to different, with the naked eye nearly undistinguishable symbols (despite the c in cdot surely standing for center..).
This pr replaces instances of ⬝ where · was probably meant.
All of the replacement is in comments, except for the file bench_summary.lean which is used for priting the github benchmark results. Since this file is about scientific notation of numbers, sure · was meant to be used, not a rectangle.
[Related](https://github.com/leanprover-community/mathlib4/pull/27399)
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
new-contributor
|
195/195 |
Mathlib/Algebra/ContinuedFractions/Computation/Approximations.lean,Mathlib/Algebra/DirectSum/Idempotents.lean,Mathlib/Algebra/Lie/Derivation/Basic.lean,Mathlib/Algebra/Module/Equiv/Basic.lean,Mathlib/AlgebraicGeometry/EllipticCurve/DivisionPolynomial/Basic.lean,Mathlib/Analysis/Analytic/Constructions.lean,Mathlib/Analysis/CStarAlgebra/CStarMatrix.lean,Mathlib/Analysis/Calculus/ContDiff/Basic.lean,Mathlib/Analysis/Calculus/ContDiff/Bounds.lean,Mathlib/Analysis/Calculus/FDeriv/Symmetric.lean,Mathlib/Analysis/Fourier/FourierTransformDeriv.lean,Mathlib/Analysis/InnerProductSpace/Dual.lean,Mathlib/Analysis/InnerProductSpace/PiL2.lean,Mathlib/Analysis/Normed/Unbundled/InvariantExtension.lean,Mathlib/Analysis/SpecialFunctions/Complex/CircleAddChar.lean,Mathlib/Combinatorics/Configuration.lean,Mathlib/Combinatorics/SimpleGraph/AdjMatrix.lean,Mathlib/Combinatorics/SimpleGraph/LapMatrix.lean,Mathlib/Data/Matrix/Block.lean,Mathlib/Data/Matrix/ConjTranspose.lean,Mathlib/Data/Matrix/Hadamard.lean,Mathlib/Data/Matrix/Mul.lean,Mathlib/Data/Matrix/Notation.lean,Mathlib/Data/Matrix/Reflection.lean,Mathlib/Data/Matrix/RowCol.lean,Mathlib/Data/Matrix/Vec.lean,Mathlib/FieldTheory/PurelyInseparable/PerfectClosure.lean,Mathlib/Geometry/Manifold/GroupLieAlgebra.lean,Mathlib/GroupTheory/Coxeter/Matrix.lean,Mathlib/LinearAlgebra/CrossProduct.lean,Mathlib/LinearAlgebra/Matrix/BilinearForm.lean,Mathlib/LinearAlgebra/Matrix/DotProduct.lean,Mathlib/LinearAlgebra/Matrix/Nondegenerate.lean,Mathlib/LinearAlgebra/Matrix/Orthogonal.lean,Mathlib/LinearAlgebra/Matrix/PosDef.lean,Mathlib/LinearAlgebra/Matrix/SchurComplement.lean,Mathlib/LinearAlgebra/Matrix/SesquilinearForm.lean,Mathlib/LinearAlgebra/Matrix/Trace.lean,Mathlib/LinearAlgebra/Multilinear/Basic.lean,Mathlib/LinearAlgebra/PerfectPairing/Matrix.lean,Mathlib/LinearAlgebra/Projectivization/Constructions.lean,Mathlib/NumberTheory/NumberField/ProductFormula.lean,Mathlib/NumberTheory/SiegelsLemma.lean,Mathlib/RingTheory/DividedPowers/SubDPIdeal.lean,Mathlib/SetTheory/Ordinal/Veblen.lean,Mathlib/Topology/Algebra/Module/Equiv.lean,Mathlib/Topology/Homeomorph/Lemmas.lean,Mathlib/Topology/Instances/Matrix.lean,scripts/bench_summary.lean |
49 |
5 |
['eric-wieser', 'github-actions', 'grunweg', 'leanprover-community-bot-assistant'] |
nobody |
289-12686 9 months ago |
311-75008 311 days ago |
7-54661 7 days |
| 28042 |
kckennylau author:kckennylau |
feat(Topology/ValuativeRel): a topological basis indexed by pairs of elements |
---
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The pullback PR of #27314 and #27163.
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-ring-theory
|
140/23 |
Mathlib/RingTheory/Valuation/ValuativeRel.lean,Mathlib/Topology/Algebra/Valued/ValuativeRel.lean |
2 |
3 |
['github-actions', 'grunweg', 'mathlib4-merge-conflict-bot'] |
nobody |
289-12640 9 months ago |
298-64084 298 days ago |
7-4998 7 days |
| 27399 |
MoritzBeroRoos author:MoritzBeroRoos |
chore: replace every usage of ⬝ᵥ (with old \cdot) by ·ᵥ (with \centerdot) |
Discussion at [zulip](https://leanprover.zulipchat.com/#narrow/channel/270676-lean4/topic/.5Ccdot.20!.3D.20.5Ccenterdot).
Currently the abbreviations `\cdot` and `\centerdot` resolve to different, with the naked eye nearly undistinguishable symbols (despite the c in cdot surely standing for `center`..):
- `\cdot` gives ⬝ [U+2B1D](https://www.compart.com/en/unicode/U+2B1D) "Black Very Small Square"
- `\centerdot` gives · [U+00B7](https://www.compart.com/en/unicode/U+00B7) "Middle Dot"
Mathlib mostly uses the `\centerdot` variant, except for the dotProduct notation and some probably unsuspecting people wanting \centerdot but getting \cdot in their comments and 6 uses of a notation using the raw `\cdot` without any subscript at `Mathlib\Topology\Homotopy\Product.lean`.
This PR replaces the dot product `⬝ᵥ` with its `\centerdot` counterpart `·ᵥ`. The related PR [here](https://github.com/leanprover/vscode-lean4/pull/639) can then overwrite the `\cdot` abbreviation, to produce the same symbol as the `centerdot` abbreviation does.
---
[](https://gitpod.io/from-referrer/)
|
merge-conflict
new-contributor
|
133/133 |
Mathlib/Analysis/CStarAlgebra/CStarMatrix.lean,Mathlib/Analysis/InnerProductSpace/PiL2.lean,Mathlib/Combinatorics/Configuration.lean,Mathlib/Combinatorics/SimpleGraph/AdjMatrix.lean,Mathlib/Combinatorics/SimpleGraph/LapMatrix.lean,Mathlib/Data/Matrix/Block.lean,Mathlib/Data/Matrix/ConjTranspose.lean,Mathlib/Data/Matrix/Hadamard.lean,Mathlib/Data/Matrix/Mul.lean,Mathlib/Data/Matrix/Notation.lean,Mathlib/Data/Matrix/Reflection.lean,Mathlib/Data/Matrix/RowCol.lean,Mathlib/Data/Matrix/Vec.lean,Mathlib/LinearAlgebra/CrossProduct.lean,Mathlib/LinearAlgebra/Matrix/BilinearForm.lean,Mathlib/LinearAlgebra/Matrix/DotProduct.lean,Mathlib/LinearAlgebra/Matrix/Nondegenerate.lean,Mathlib/LinearAlgebra/Matrix/Orthogonal.lean,Mathlib/LinearAlgebra/Matrix/PosDef.lean,Mathlib/LinearAlgebra/Matrix/SchurComplement.lean,Mathlib/LinearAlgebra/Matrix/SesquilinearForm.lean,Mathlib/LinearAlgebra/Matrix/Trace.lean,Mathlib/LinearAlgebra/PerfectPairing/Matrix.lean,Mathlib/LinearAlgebra/Projectivization/Constructions.lean,Mathlib/Topology/Instances/Matrix.lean |
25 |
6 |
['MoritzBeroRoos', 'eric-wieser', 'github-actions', 'leanprover-community-bot-assistant'] |
nobody |
288-60918 9 months ago |
311-75009 311 days ago |
7-62439 7 days |
| 28148 |
kckennylau author:kckennylau |
feat(Matrix): Simproc and Rw-proc for Matrix Transpose |
Co-authored by Aaron Liu.
```lean
example : !![1, 2, 3; 4, 5, 6]ᵀ = !![1, 4; 2, 5; 3, 6] := by
rw [transpose_of% 2 3]
example : !![1, 2, 3; 4, 5, 6]ᵀ = !![1, 4; 2, 5; 3, 6] := by
rw [transpose_of]
example : !![1, 2, 3; 4, 5, 6]ᵀ = !![1, 4; 2, 5; 3, 6] := by
simp only [matrix_transpose]
```
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-meta
|
267/8 |
Mathlib.lean,Mathlib/Data/Matrix/Notation.lean,Mathlib/LinearAlgebra/UnitaryGroup.lean,Mathlib/Tactic.lean,Mathlib/Tactic/Simproc/Matrix.lean,MathlibTest/Simproc/Matrix.lean,MathlibTest/matrix.lean,scripts/noshake.json |
8 |
32 |
['eric-wieser', 'github-actions', 'kckennylau', 'mathlib4-merge-conflict-bot', 'plp127'] |
eric-wieser assignee:eric-wieser |
284-17852 9 months ago |
284-17853 284 days ago |
12-78143 12 days |
| 26908 |
robin-carlier author:robin-carlier |
feat(CategoryTheory/Monoidal/DayConvolution): alternative ext principle for unitors |
Currently, our infrastructure for left/right unitors for Day convolution of functors `C ⥤ V` do not have satisfactory extensionality principle: the current way to characterize morphisms out of `U ⊛ F` is the default extensionality principle for Day convolution, which characterizes first such functors via functors out of `U ⊠ F`. Left unitors are then obtained using the fact `U ⊠ F` is a left Kan extension of a functor from `PUnit × C` (which is equivalent to `C`) but we did not record on its own this principle.
Using the transitivity of left Kan extensions proved in #26899, we directly exhibit `U ⊛ F` as a left Kan extension of `F ⋙ tensorLeft (𝟙_ V)` along `tensorLeft (𝟙_ C)`. The unit of this Kan extension is composed exactly of the morphisms that appear in the [characterization of left unitors](https://leanprover-community.github.io/mathlib4_docs/Mathlib/CategoryTheory/Monoidal/DayConvolution.html#CategoryTheory.MonoidalCategory.DayConvolutionUnit.leftUnitor_hom_unit_app).
We also slightly generalize the instances that express that external products with unitors are left Kan extensions, so that they can be used when taking external products with more complicated functors than currently. This is again useful when chaining extensionality lemmas for morphisms out of terms of the form `(F ⊛ U) ⊛ G`.
We prove a similar thing for right unitors
With this, it should be possible to have a much more satisfactory way of working with Day convolutions: this allows to "elimiinate" units without ending up with terms in an external product.
---
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- [ ] depends on: #26899
- [ ] depends on: #26906
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-category-theory
|
307/18 |
Mathlib/CategoryTheory/Functor/KanExtension/Basic.lean,Mathlib/CategoryTheory/Monoidal/DayConvolution.lean |
2 |
4 |
['github-actions', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
nobody |
272-64198 8 months ago |
272-64199 272 days ago |
0-1812 30 minutes |
| 27150 |
robin-carlier author:robin-carlier |
feat(CategoryTheory/Monoidal/DayConvolution): constructors for braided and symmetric structure on day convolutions monoidal categories |
Following the pattern in #27119, we give API to construct `BraidedCategory` and `SymmetricCategory` structures on a monoidal
category equipped with a `LawfulDayConvolutionMonoidalCategoryStruct`. To achieve this, we introduce an other type class
`LawfulDayConvolutionBraidedCategoryStruct` that bundles an associator isomorphism that behaves like the one constructed for functors in #27067.
We provide a noncomputable constructor for this typeclass that takes as input fullness of the "realization" functor to a category of functors, and we show that the typeclasses are sufficient to define the desired structures.
---
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|
merge-conflict
t-category-theory
|
826/9 |
Mathlib/CategoryTheory/Monoidal/DayConvolution.lean,Mathlib/CategoryTheory/Monoidal/DayConvolution/Braided.lean |
2 |
5 |
['github-actions', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
nobody |
272-59237 8 months ago |
328-2532 328 days ago |
0-1002 16 minutes |
| 27119 |
robin-carlier author:robin-carlier |
feat(CategoryTheory/Monoidal/DayConvolution): constructors for closed monoidal day convolution monoidal structures |
Following the pattern introduced in #26798 and #26820 and using results of #26879, we introduce a typeclass
`LawfulDayConvolutionClosedMonoidalCategoryStruct` that encodes the data needed on a `LawfulDayConvolutionMonoidalCategoryStruct` to define well-behaved internal homs. We give a constructor assuming existence of relevant ends, and prove that this data defines a `MonoidalClosed` instance on the monoidal category structures one can deduce from `LawfulDayConvolutionMonoidalCategoryStruct`.
---
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- [x] depends on: #26820
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|
merge-conflict
t-category-theory
|
900/9 |
Mathlib/CategoryTheory/Monoidal/DayConvolution.lean,Mathlib/CategoryTheory/Monoidal/DayConvolution/Closed.lean |
2 |
6 |
['github-actions', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
nobody |
271-73088 8 months ago |
329-8000 329 days ago |
0-1 1 second |
| 28623 |
gilesgshaw author:gilesgshaw |
feat(Logic/Basic): minor additions and simplification of proofs |
Add new theorems and simplify proofs.
Specifically, we add the family of related theorems `apply_dite_iff_exists`, `apply_dite_iff_forall`, `apply_ite_iff_and` and `apply_ite_iff_or`.
For each other 'family' of theorems in the file that is analogous to the above, we do the following
- Simplify proofs where possible, e.g. by appealing to the new theorems
- Complete the family, if any of the corresponding four are missing
- Rename to ensure consistency with the above pattern
---
|
merge-conflict
t-logic
new-contributor
|
83/55 |
Archive/Examples/IfNormalization/Result.lean,Archive/Examples/IfNormalization/WithoutAesop.lean,Mathlib/Algebra/ContinuedFractions/Computation/Translations.lean,Mathlib/Algebra/MvPolynomial/Variables.lean,Mathlib/Algebra/Notation/Indicator.lean,Mathlib/LinearAlgebra/Matrix/Rank.lean,Mathlib/Logic/Basic.lean,Mathlib/MeasureTheory/Measure/WithDensity.lean,Mathlib/SetTheory/Ordinal/Notation.lean |
9 |
12 |
['eric-wieser', 'gilesgshaw', 'github-actions', 'mathlib4-merge-conflict-bot', 'plp127'] |
awainverse assignee:awainverse |
271-66949 8 months ago |
271-66950 271 days ago |
10-61840 10 days |
| 26154 |
ADedecker author:ADedecker |
refactor: add refactored APIs for algebraic filter bases |
This PR continues the work from #18437.
Original PR: https://github.com/leanprover-community/mathlib4/pull/18437 |
merge-conflict
t-topology
|
651/0 |
Mathlib.lean,Mathlib/Topology/Algebra/FilterBasis.lean,Mathlib/Topology/Algebra/FilterBasisNew.lean,Mathlib/Topology/Algebra/Nonarchimedean/Bases.lean,Mathlib/Topology/Algebra/Nonarchimedean/BasesNew.lean |
5 |
3 |
['ADedecker', 'github-actions', 'mathlib4-merge-conflict-bot'] |
PatrickMassot assignee:PatrickMassot |
265-79193 8 months ago |
265-79194 265 days ago |
87-79752 87 days |
| 29330 |
plp127 author:plp127 |
chore: define `Fin.cycleIcc` with conditions |
Redefine `Fin.cycleIcc` using conditionals instead of composing existing `Fin` operations together. Its worst-case runtime drops from O(n) to O(1). As a bonus, the definition no longer needs explaining.
---
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|
merge-conflict
t-group-theory
|
61/68 |
Mathlib/GroupTheory/Perm/Fin.lean |
1 |
10 |
['JovanGerb', 'eric-wieser', 'github-actions', 'mathlib4-merge-conflict-bot', 'plp127', 'tb65536'] |
nobody |
257-4390 8 months ago |
257-4391 257 days ago |
20-3817 20 days |
| 21950 |
erdOne author:erdOne |
feat(NumberTheory/Padics): the completion of `ℚ` at a finite place is `ℚ_[p]` |
---
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|
merge-conflict
t-number-theory
|
253/1 |
Mathlib.lean,Mathlib/Algebra/GroupWithZero/WithZero.lean,Mathlib/NumberTheory/Padics/HeightOneSpectrum.lean,Mathlib/NumberTheory/Padics/PadicNumbers.lean,Mathlib/Topology/Algebra/Valued/WithVal.lean,Mathlib/Topology/Algebra/WithZeroMulInt.lean,Mathlib/Topology/Algebra/WithZeroTopology.lean |
7 |
33 |
['Ruben-VandeVelde', 'erdOne', 'faenuccio', 'github-actions', 'leanprover-community-bot-assistant', 'pechersky', 'smmercuri', 'xroblot'] |
nobody |
254-65900 8 months ago |
335-65837 335 days ago |
73-10873 73 days |
| 27214 |
robin-carlier author:robin-carlier |
feat(CategoryTheory/Limits/Shapes/Pullback/Categorical): Categorical pullback squares |
In this PR, we give the definition and first basic properties of categorical pullback squares.
Using our previous work on `CategoricalPullback`, we define a typeclass `CatPullbackSquare T L R B` that asserts that a given `CatCommSq T L R B` is a "pullback square": this is the data of a chosen adjoint equivalence to the canonical functor from the top left corner of the square to the categorical pulback of its leg. Using this equivalence, be derive a universal property for functors from `X`with values in the top left corner of the square: they are equivalent to `CatCommSqOver R B X`, the category of categorical commutative squares over the cospan `R, B` with top left corner `X`.
We prove some coherence result for this equivalence, most notably an isomorphism that, given `S : CatCommSqOver R B X`, bundles the two commutative triangles formed by the induced functor, and the coherence between the squares that these isomorphisms satisfy: this is conveniently bundled in the data of a single isomorphisms of `CatCommSqOver R B X`.
Finally, we provide a `Prop`-class `IsCatPullbackSquare` that merely asserts the existence (via `Nonempty`) of the relevant data: we show that it is tautotogically equivalent to the propopsition that the canonical functor to the categorical pullback is an equivalence.
---
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- [ ] depends on: #26679
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|
merge-conflict
t-category-theory
|
786/1 |
Mathlib.lean,Mathlib/CategoryTheory/Limits/Shapes/Pullback/Categorical/Basic.lean,Mathlib/CategoryTheory/Limits/Shapes/Pullback/Categorical/Square.lean |
3 |
3 |
['github-actions', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
nobody |
251-55982 8 months ago |
251-55983 251 days ago |
0-4464 1 hour |
| 26466 |
robin-carlier author:robin-carlier |
feat(AlgebraicTopology/SimplexCategory/Augmented): the canonical monoid object in the augmented simplex category |
Show that in the augmented simplex category, `⦋0⦌` is an internal monoid object.
Future work will show that this is in fact the universal monoid object: for any monoidal category `C`, evaluation at `⦋0⦌` induces an equivalence of categories between `Mon_ C` and the category of monoidal functors from `AugmentedSimplexCategory` to `C`. The resulting augmented cosimplicial object one gets from this construction is sometimes called the "monoidal bar construction" attached to a monoid.
This PR was split from #25743.
---
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|
merge-conflict
t-algebraic-topology
t-category-theory
|
571/111 |
Mathlib.lean,Mathlib/AlgebraicTopology/SimplexCategory/Augmented.lean,Mathlib/AlgebraicTopology/SimplexCategory/Augmented/Basic.lean,Mathlib/AlgebraicTopology/SimplexCategory/Augmented/Mon_.lean,Mathlib/AlgebraicTopology/SimplexCategory/Augmented/Monoidal.lean,Mathlib/AlgebraicTopology/SimplexCategory/Basic.lean |
6 |
4 |
['github-actions', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
nobody |
250-75384 8 months ago |
345-82668 345 days ago |
0-1708 28 minutes |
| 26578 |
robin-carlier author:robin-carlier |
feat(CategoryTheory/Limits/Pullbacks/Categorical/CatCospanTransform): adjunctions of categorical cospans |
We build upon the bicategory-like structure developed in #26447 and #26412 to define the notion of adjunctions of categorical cospans. This is a structure encoding the data of two `CatCospanTransform`s, along with the usual unit and counit morphisms as part of the data, satisfying the usual left and right triangle identities. We provide basic API for these, such as extracting adjunctions between individual components. We also provide a proof that the notion satisfies a "coherence": with our chosen constructor, the forward direction of the structure `CatCommSq` on the left adjoints correspond to the inverse of the square for the right adjoints through `mateEquiv`.
These adjunctions will be used as a substrate for defining equivalences of categorical cospans in a future PR: such an equivalence will be a structure extending a `CatCospanAdjunction` with isomorphisms data on the unit and co-unit (we will however provide alternative constructors in sync with the constructor for equivalences of categories).
---
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- [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 |
249-78609 8 months ago |
342-1381 342 days ago |
0-625 10 minutes |
| 23621 |
astrainfinita author:astrainfinita |
chore: deprecate `LinearOrderedComm{Monoid, Group}WithZero` |
---
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- [x] depends on: #20676
|
merge-conflict
t-algebra
t-order
label:t-algebra$ |
261/205 |
Archive/Imo/Imo1998Q2.lean,Counterexamples/LinearOrderWithPosMulPosEqZero.lean,Mathlib/Algebra/Order/Field/Canonical.lean,Mathlib/Algebra/Order/Field/Rat.lean,Mathlib/Algebra/Order/Floor/Ring.lean,Mathlib/Algebra/Order/GroupWithZero/Canonical.lean,Mathlib/Algebra/Order/GroupWithZero/Finset.lean,Mathlib/Algebra/Order/Hom/Monoid.lean,Mathlib/Algebra/Order/Nonneg/Field.lean,Mathlib/Algebra/Order/Nonneg/Ring.lean,Mathlib/Algebra/Order/Ring/Nat.lean,Mathlib/Combinatorics/Additive/PluenneckeRuzsa.lean,Mathlib/Combinatorics/SimpleGraph/Triangle/Basic.lean,Mathlib/Data/ENNReal/Basic.lean,Mathlib/Data/NNRat/Lemmas.lean,Mathlib/Data/NNReal/Defs.lean,Mathlib/Data/Rat/Cast/Order.lean,Mathlib/FieldTheory/IntermediateField/Adjoin/Defs.lean,Mathlib/FieldTheory/RatFunc/AsPolynomial.lean,Mathlib/GroupTheory/ArchimedeanDensely.lean,Mathlib/NumberTheory/EllipticDivisibilitySequence.lean,Mathlib/NumberTheory/FunctionField.lean,Mathlib/NumberTheory/Ostrowski.lean,Mathlib/RingTheory/Valuation/Archimedean.lean,Mathlib/RingTheory/Valuation/Basic.lean,Mathlib/RingTheory/Valuation/ExtendToLocalization.lean,Mathlib/RingTheory/Valuation/Integers.lean,Mathlib/RingTheory/Valuation/Integral.lean,Mathlib/RingTheory/Valuation/Minpoly.lean,Mathlib/RingTheory/Valuation/Quotient.lean,Mathlib/RingTheory/Valuation/RankOne.lean,Mathlib/RingTheory/Valuation/ValExtension.lean,Mathlib/RingTheory/Valuation/ValuationRing.lean,Mathlib/RingTheory/Valuation/ValuationSubring.lean,Mathlib/SetTheory/Cardinal/Order.lean,Mathlib/Topology/Algebra/Valued/LocallyCompact.lean,Mathlib/Topology/Algebra/Valued/NormedValued.lean,Mathlib/Topology/Algebra/Valued/ValuationTopology.lean,Mathlib/Topology/Algebra/Valued/ValuedField.lean,Mathlib/Topology/Algebra/Valued/WithVal.lean,Mathlib/Topology/Algebra/WithZeroTopology.lean,Mathlib/Topology/UnitInterval.lean,MathlibTest/instance_diamonds.lean,scripts/noshake.json |
44 |
24 |
['YaelDillies', 'astrainfinita', 'github-actions', 'grunweg', 'leanprover-bot', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot'] |
kbuzzard assignee:kbuzzard |
246-60324 8 months ago |
417-32697 417 days ago |
5-42380 5 days |
| 27990 |
kckennylau author:kckennylau |
feat(Counterexamples): a nontrivial valuation with discrete topology |
This file constructs a valuation on `K[X]` satisfying `IsValuativeTopology K[X] ∧ Nonempty (valuation K[X]).RankOne ∧ IsNontrivial K[X] ∧ DiscreteTopology K[X]`, and proves that `IsValuativeTopology F ∧ IsNontrivial F ∧ DiscreteTopology F` is not possible if `F` is a field.
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-ring-theory
|
172/0 |
Counterexamples.lean,Counterexamples/DiscreteTopologyWithNontrivialValuation.lean |
2 |
14 |
['github-actions', 'grunweg', 'kckennylau', 'mathlib4-merge-conflict-bot', 'pechersky'] |
nobody |
238-62455 7 months ago |
238-62456 238 days ago |
67-79609 67 days |
| 28132 |
dupuisf author:dupuisf |
feat: preliminary `grind` tags for `IsUnit` |
This PR adds preliminary `grind` tags for the `IsUnit` predicate.
---
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merge-conflict
t-algebra
label:t-algebra$ |
61/17 |
Mathlib/Algebra/Group/Action/Units.lean,Mathlib/Algebra/Group/Units/Defs.lean,Mathlib/Algebra/GroupWithZero/Units/Basic.lean,Mathlib/Algebra/Ring/Units.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Order.lean,Mathlib/Analysis/SpecialFunctions/ContinuousFunctionalCalculus/Rpow/Basic.lean |
6 |
3 |
['github-actions', 'mathlib4-merge-conflict-bot'] |
kim-em assignee:kim-em |
215-39053 7 months ago |
215-39054 215 days ago |
80-71575 80 days |
| 26827 |
pechersky author:pechersky |
feat(Analysis/Normed/ValuativeRel): helper instance for NormedField |
---
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- [x] depends on: #26713
- [x] depends on: #26826
|
merge-conflict
t-algebra
t-number-theory
t-analysis
label:t-algebra$ |
211/27 |
Mathlib.lean,Mathlib/Analysis/Normed/ValuativeRel.lean,Mathlib/Topology/Algebra/Valued/ValuativeRel.lean |
3 |
34 |
['ADedecker', 'adamtopaz', 'erdOne', 'github-actions', 'kbuzzard', 'kckennylau', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot', 'pechersky'] |
kbuzzard assignee:kbuzzard |
207-67657 6 months ago |
207-67657 207 days ago |
122-64394 122 days |
| 22662 |
plp127 author:plp127 |
feat: Localization.Away.lift (computably) |
This PR adds `Localization.Away.lift'` and `Localization.Away.lift`, computable alternatives to `Localization.awayLift`.
---
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|
merge-conflict
t-algebra
label:t-algebra$ |
74/0 |
Mathlib/RingTheory/Localization/Away/Basic.lean |
1 |
18 |
['eric-wieser', 'github-actions', 'grunweg', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot', 'plp127', 'vihdzp'] |
kim-em assignee:kim-em |
201-3916 6 months ago |
201-3917 201 days ago |
257-28368 257 days |
| 24850 |
pechersky author:pechersky |
feat(Topology/UniformSpace/Ultra): uniform spaces induced by pseudometrics are ultra if system is ultra |
Any uniform space has a natural system of pseudometrics definable on it,
comprised of those pseudometrics constructed from a descending chain of
equivalence relation entourages. In a nonarchimedean uniformity, this pseudometric system
induces the uniformity.
---
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- [x] depends on: #23111 |
merge-conflict
t-topology
|
509/1 |
Mathlib.lean,Mathlib/Topology/MetricSpace/BundledFun.lean,Mathlib/Topology/UniformSpace/Ultra/Pseudometrizable.lean |
3 |
9 |
['ADedecker', 'fpvandoorn', 'github-actions', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot', 'pechersky'] |
urkud assignee:urkud |
201-3744 6 months ago |
201-3745 201 days ago |
177-43034 177 days |
| 26914 |
quangvdao author:quangvdao |
feat(Data/PFunctor/Univariate): more definitions for univariate `PFunctor` |
This PR defines several basic definitions of `PFunctor`, including zero, one, constants, monomials, coproduct (sum), product, sigma, pi, tensor product, universe lifting, and equivalence.
We also add: (1) simple lemmas connecting the basic definitions, (2) an automatically derived ext lemma for `PFunctor` via `@[ext]` attribute
Some things I'm not clear on:
- I define `HAdd` and `HMul` instances for coproduct and product of poly functors having different universe levels. Should I also define `Add` and `Mul` instances for poly functors having the same universe level?
- Is it ok to define notation for tensor product, i.e. `@[inherit_doc] scoped infixr:80 " ⊗ " => tensor`? I'm worried it might clash with other notation.
- Need a double-check on the priority of notation.
Some future definitions to add:
- Various equivalences arising from arithmetic identities, e.g., `P + 0 ≃ₚ P`.
- Definitions of Lenses and Charts (each of them will be a file or even a folder)
- Exponential objects (corresponding to both `prod` and `tensor`)
---
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|
merge-conflict
t-data
|
144/5 |
Mathlib/Data/PFunctor/Univariate/Basic.lean |
1 |
20 |
['alexkeizer', 'eric-wieser', 'github-actions', 'mathlib4-merge-conflict-bot', 'quangvdao'] |
eric-wieser assignee:eric-wieser |
201-3222 6 months ago |
201-3223 201 days ago |
133-23955 133 days |
| 28125 |
nonisomorphiclinearmap author:nonisomorphiclinearmap |
feat(Combinatorics): basic definition of simplicial complexes |
This PR introduces the basic definition of a finite (abstract) simplicial complex, located in Mathlib/Combinatorics/SimplicialComplex/Basic.lean.
---
This is our first contribution to mathlib. This work was done as part of the Fields Institute Summer Undergraduate Program on formalization in topological combinatorics. Eventually, we aim to formalize Lovasz's proof of the Kneser Conjecture and this is a small stepping stone in that direction. Some other commits will shortly depend on this one.
We would like to acknowledge the Fields Institute for Research in Mathematical Sciences for their sponsorship. We would also like to thank our supervisors, Professor Chris Kapulkin and Mr. Daniel Carranza, for their guidance and support throughout this project. We would also like to thank our group members Tom Lindquist and Quang Minh Nguyen for our fruitful discussions. |
merge-conflict
t-combinatorics
new-contributor
|
374/0 |
Mathlib.lean,Mathlib/Combinatorics/SimplicialComplex/Basic.lean,Mathlib/Combinatorics/SimplicialComplex/Category.lean,Mathlib/Combinatorics/SimplicialComplex/FacePoset.lean,Mathlib/Combinatorics/SimplicialComplex/Hom.lean |
5 |
2 |
['github-actions', 'mathlib4-merge-conflict-bot'] |
awainverse assignee:awainverse |
201-2917 6 months ago |
201-2918 201 days ago |
99-64548 99 days |
| 28871 |
JaafarTanoukhi author:JaafarTanoukhi |
feat(Combinatorics/Digraph): Tournaments |
Define orientations and tournaments. Related to #26771.
Co-authored-by: Rida Hamadani <mridahamadani@gmail.com>
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-combinatorics
new-contributor
|
62/0 |
Mathlib.lean,Mathlib/Combinatorics/Digraph/Orientation.lean,Mathlib/Combinatorics/Digraph/Tournament.lean |
3 |
6 |
['JaafarTanoukhi', 'Rida-Hamadani', 'SnirBroshi', 'github-actions', 'mathlib4-merge-conflict-bot'] |
kmill assignee:kmill |
201-2764 6 months ago |
201-2765 201 days ago |
86-44787 86 days |
| 29526 |
llllvvuu author:llllvvuu |
feat: `Multiset.map f` identifies `f` up to permutation |
Motivation: Reason about `Fintype`-indexed families via `Multiset` equality.
Example use case 1:
```lean
theorem Matrix.IsHermitian.cfc_eigenvalues {d : Type*} [Fintype d] [DecidableEq d]
{M : Matrix d d 𝕜} (hM : M.IsHermitian) (f : ℝ → ℝ)
(hcfc : Matrix.IsHermitian (cfc f M) := cfc_predicate f M) :
∃ (e : d ≃ d), hcfc.eigenvalues = f ∘ hM.eigenvalues ∘ e := by
have := hcfc.roots_charpoly_eq_eigenvalues.symm
rw [hM.charpoly_cfc_eq f, Polynomial.roots_prod] at this; swap
· simp [Finset.prod_ne_zero_iff, Polynomial.X_sub_C_ne_zero]
simp_rw [Polynomial.roots_X_sub_C, Multiset.bind_singleton] at this
have he := (Multiset.compTriple_equivOfMapUnivEq this).comp_eq
simp_rw [← Function.comp_def RCLike.ofReal, ← Function.comp_def f, Function.comp_assoc] at he
exact ⟨_, RCLike.ofReal_injective.comp_left he.symm⟩
```
Example use case 2 (on top of https://github.com/leanprover-community/mathlib4/pull/29610):
```lean
theorem LinearMap.Eigenbasis.μ_equiv {ι ι' R G : Type*} [Fintype ι] [Fintype ι']
[CommRing R] [IsDomain R] [AddCommGroup G] [Module R G] [Module.Free R G] [Module.Finite R G]
{f : Module.End R G} (B₁ : f.Eigenbasis ι) (B₂ : f.Eigenbasis ι') :
∃ e : ι ≃ ι', B₁.μ = B₂.μ ∘ e := by
classical
have := congr(Polynomial.roots $(B₁.charpoly_eq.symm.trans B₂.charpoly_eq))
rw [Polynomial.roots_prod, Polynomial.roots_prod] at this; rotate_left
· simp [Finset.prod_ne_zero_iff, Polynomial.X_sub_C_ne_zero]
· simp [Finset.prod_ne_zero_iff, Polynomial.X_sub_C_ne_zero]
simp_rw [Polynomial.roots_X_sub_C, Multiset.bind_singleton] at this
exact ⟨Multiset.equivOfMapUnivEq this, (Multiset.compTriple_equivOfMapUnivEq this).comp_eq.symm⟩
```
Co-authored-by: Aristotle Harmonic <aristotle-harmonic@harmonic.fun>
---
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|
merge-conflict
t-data
|
35/0 |
Mathlib/Data/Multiset/Fintype.lean |
1 |
9 |
['Ruben-VandeVelde', 'github-actions', 'llllvvuu', 'mathlib4-merge-conflict-bot', 'vihdzp', 'wwylele'] |
pechersky assignee:pechersky |
201-2726 6 months ago |
201-2727 201 days ago |
69-23034 69 days |
| 29947 |
JaafarTanoukhi author:JaafarTanoukhi |
feat(Combinatorics/Digraph): Maps |
Ported `SimpleGraph/Maps.lean` to `Digraph/Maps.lean` for future PRs related to issue #[26771](https://github.com/leanprover-community/mathlib4/issues/26771)
---
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|
merge-conflict
t-combinatorics
new-contributor
|
476/0 |
Mathlib.lean,Mathlib/Combinatorics/Digraph/Maps.lean |
2 |
2 |
['github-actions', 'mathlib4-merge-conflict-bot'] |
awainverse assignee:awainverse |
201-2130 6 months ago |
201-2131 201 days ago |
54-82760 54 days |
| 31356 |
adomani author:adomani |
feat: add inspect-like functions |
Produces a tree-like formatting for `Syntax`, `Expr` and `InfoTree`. Especially for the `InfoTree`s, there are *many* parts of it that do not get printed.
For instance, this is how the `InfoTree`s of `set_option linter.missingDocs true` get printed:
```lean
inspectIT
set_option linter.missingDocs true
/-
commandCtx
|-Info.ofCommandInfo: Lean.Elab.Command.elabSetOption, 'set_option…gDocs true'
| |-Info.ofCompletionInfo.CompletionInfo.option 'set_option…issingDocs'
| |-Info.ofOptionInfo: linter.missingDocs, Linter.linter.missingDocs
-/
```
---
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merge-conflict
t-meta
|
720/0 |
Mathlib.lean,Mathlib/Util/Inspect.lean,MathlibTest/Inspect.lean |
3 |
3 |
['github-actions', 'mathlib4-merge-conflict-bot', 'plp127'] |
kim-em assignee:kim-em |
200-83551 6 months ago |
200-83552 200 days ago |
11-61697 11 days |
| 6993 |
jjaassoonn author:jjaassoonn |
feat: lemmas about `AddMonoidAlgebra.{divOf, modOf}` |
---
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- [x] depends on: #8975
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebra
label:t-algebra$ |
147/3 |
Mathlib/Algebra/MonoidAlgebra/Division.lean,Mathlib/Data/Finsupp/Basic.lean,Mathlib/Data/MvPolynomial/Basic.lean,Mathlib/Data/MvPolynomial/CommRing.lean,Mathlib/Data/MvPolynomial/Division.lean |
5 |
42 |
['YaelDillies', 'alreadydone', 'digama0', 'eric-wieser', 'github-actions', 'jjaassoonn', 'leanprover-community-mathlib4-bot'] |
nobody |
200-62475 6 months ago |
870-67228 870 days ago |
103-330 103 days |
| 9339 |
FMLJohn author:FMLJohn |
feat(RingTheory/GradedAlgebra/HomogeneousIdeal): given a finitely generated homogeneous ideal of a graded semiring, construct a finite spanning set for the ideal which only contains homogeneous elements |
---
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- [ ] depends on: #8187
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-ring-theory
|
402/4 |
Mathlib.lean,Mathlib/Algebra/DirectSum/Internal.lean,Mathlib/Algebra/GradedMonoid.lean,Mathlib/Algebra/Module/GradeZeroModule.lean,Mathlib/RingTheory/Finiteness.lean,Mathlib/RingTheory/GradedAlgebra/Basic.lean,Mathlib/RingTheory/GradedAlgebra/HomogeneousIdeal.lean,Mathlib/RingTheory/GradedAlgebra/Noetherian.lean |
8 |
11 |
['FMLJohn', 'github-actions', 'jjaassoonn', 'leanprover-community-mathlib4-bot'] |
nobody |
200-62428 6 months ago |
884-67406 884 days ago |
6-63597 6 days |
| 10349 |
Shamrock-Frost author:Shamrock-Frost |
refactor(CategoryTheory/MorphismProperty): some clean-ups |
We make explicit some of the galois connections/closure operators in the existing MorphismProperty file, rewrite some proofs to take advantage of these structures, and change map/inverseImage by (1) swapping their argument order, for consistency with Set.range and Set.preimage and (2) making "map" perform the strict, evil map while "essMap" (previously called map) forms the closure of the image under isomorphisms. Finally we add `IsMultiplicative` instances for isos/epis/monos, with an eye towards constructing the wide subcategory on these classes of maps.
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merge-conflict
t-category-theory
|
474/318 |
Mathlib/CategoryTheory/Localization/Composition.lean,Mathlib/CategoryTheory/Localization/LocalizerMorphism.lean,Mathlib/CategoryTheory/MorphismProperty.lean,Mathlib/Data/Set/Lattice.lean,Mathlib/Order/Closure.lean,Mathlib/Order/Hom/Basic.lean,Mathlib/Order/Hom/CompleteLattice.lean,Mathlib/Order/RelIso/Basic.lean |
8 |
1 |
['leanprover-community-mathlib4-bot'] |
nobody |
200-62386 6 months ago |
851-31130 851 days ago |
0-418 6 minutes |
| 26890 |
robin-carlier author:robin-carlier |
feat(CategoryTheory/Monoidal/DayConvolution): more API for `DayFunctor` |
We provide some lemmas that helps characterizing the monoidal structure on `DayFunctor`, they are special cases of the lemmas for `LawfulDayConvolutionMonoidalCategoryStruct`.
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|
merge-conflict
t-category-theory
|
1372/19 |
Mathlib.lean,Mathlib/CategoryTheory/Functor/KanExtension/Basic.lean,Mathlib/CategoryTheory/Monoidal/DayConvolution.lean,Mathlib/CategoryTheory/Monoidal/DayConvolution/DayFunctor.lean |
4 |
5 |
['github-actions', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
nobody |
200-61778 6 months ago |
335-387 335 days ago |
0-517 8 minutes |
| 24016 |
plp127 author:plp127 |
feat: fine uniformity |
Adds the fine uniformity, and proves some properties.
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[](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 |
195-22145 6 months ago |
417-30895 417 days ago |
2-85308 2 days |
| 26912 |
pechersky author:pechersky |
chore(Algebra/Ring/Subring): simp tag `Subring.smul_def` |
s-multiplying by a subtype is easiest to manipulate when both terms are in the ambient type. Many places that had to use the _def lemma for a rewrite, or to include it in a simp set, no longer have to.
Ported from #25308
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I found this being not-simp frustrating when talking about submodules over a valuation subring. |
merge-conflict
t-algebra
label:t-algebra$ |
67/66 |
Mathlib/Algebra/Algebra/Subalgebra/Basic.lean,Mathlib/Algebra/Field/Subfield/Basic.lean,Mathlib/Algebra/Group/Subgroup/Actions.lean,Mathlib/Algebra/Group/Submonoid/MulAction.lean,Mathlib/Algebra/Module/LocalizedModule/Basic.lean,Mathlib/Algebra/Module/LocalizedModule/Exact.lean,Mathlib/Algebra/Module/LocalizedModule/IsLocalization.lean,Mathlib/Algebra/Module/LocalizedModule/Submodule.lean,Mathlib/Algebra/Ring/Periodic.lean,Mathlib/Algebra/Ring/Subring/Basic.lean,Mathlib/Algebra/Ring/Subsemiring/Basic.lean,Mathlib/Analysis/CStarAlgebra/Basic.lean,Mathlib/FieldTheory/KummerExtension.lean,Mathlib/GroupTheory/GroupAction/Defs.lean,Mathlib/GroupTheory/GroupAction/MultiplePrimitivity.lean,Mathlib/GroupTheory/GroupAction/MultipleTransitivity.lean,Mathlib/GroupTheory/GroupAction/SubMulAction/OfFixingSubgroup.lean,Mathlib/GroupTheory/GroupAction/SubMulAction/OfStabilizer.lean,Mathlib/LinearAlgebra/RootSystem/Irreducible.lean,Mathlib/LinearAlgebra/RootSystem/WeylGroup.lean,Mathlib/RingTheory/Etale/Kaehler.lean,Mathlib/RingTheory/Ideal/Over.lean,Mathlib/RingTheory/LocalProperties/Projective.lean,Mathlib/RingTheory/Localization/InvSubmonoid.lean,Mathlib/RingTheory/OreLocalization/Basic.lean |
25 |
26 |
['artie2000', 'eric-wieser', 'github-actions', 'j-loreaux', 'kckennylau', 'leanprover-bot', 'leanprover-radar', 'linesthatinterlace', 'mathlib4-merge-conflict-bot', 'pechersky'] |
joelriou assignee:joelriou |
174-34929 5 months ago |
195-70878 195 days ago |
63-23787 63 days |
| 33434 |
astrainfinita author:astrainfinita |
chore: redefine `Finsupp.indicator` using `Finsupp.onFinset` |
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|
t-data
merge-conflict
|
6/17 |
Mathlib/Data/Finsupp/Indicator.lean |
1 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
151-67868 5 months ago |
59-45024 59 days ago |
5-35275 5 days |
| 29587 |
uniwuni author:uniwuni |
feat(GroupTheory/Finiteness): define finitely generated semigroups |
We define finitely generated semigroups and basics similarly to monoids and groups and prove that semigroups and monoids remain finitely generated when a congruence is quotiented out. This will be important when further developing semigroup theory.
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|
merge-conflict
t-group-theory
|
259/14 |
Mathlib/Algebra/Group/Submonoid/Defs.lean,Mathlib/GroupTheory/Finiteness.lean |
2 |
4 |
['github-actions', 'mathlib4-merge-conflict-bot', 'plp127', 'uniwuni'] |
dupuisf assignee:dupuisf |
140-77350 4 months ago |
242-82254 242 days ago |
25-78230 25 days |
| 29014 |
ShreckYe author:ShreckYe |
feat(Data/List/Scan): some theorems that relate `scanl` with `foldl` |
I am not sure which is the best form of `getElem_scanl_eq_foldl_take` here, so I added several alternative forms. Feel free to remove any of them if necessary. |
merge-conflict
t-data
|
35/0 |
Mathlib/Data/List/Scan.lean |
1 |
15 |
['ShreckYe', 'github-actions', 'mathlib4-merge-conflict-bot', 'themathqueen', 'vlad902'] |
pechersky assignee:pechersky |
136-56574 4 months ago |
210-21619 210 days ago |
74-59834 74 days |
| 9820 |
jjaassoonn author:jjaassoonn |
feat(RingTheory/GradedAlgebra/HomogeneousIdeal): generalize to homogeneous submodule |
The definitions, constructions and theorems in `HomogeneousIdeal.lean` are generalized to a homogeneous submodules.
So say $R$ is a ring and $M \cong \bigoplus_{i} M_i$ is an $R$-module. Then a homogeneous $R$-submodule of $M$ is an $R$-submodule $N$ such that for all $i$ and $n \in N$, $n_i \in N$. Note that this notion doesn't actually require $R$ to be graded and $M$ is a graded module. But for more interesting lemmas, we do need that $M$ is graded $R$-module. We bake the fact $R$ is graded into the definition of homogeneous submodule, otherwise, `CompleteLattice HomogeneousSubmodule` cannot find the order of synthesis (the proof depends on that $R$ is graded)
All definitions/constructions/theorems have a copy for ideals as well, this is to make sure dot notation still works.
The motivation of this generalization is graded quotient module
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|
merge-conflict
t-ring-theory
|
516/185 |
Mathlib/Algebra/Module/GradedModule.lean,Mathlib/AlgebraicGeometry/ProjectiveSpectrum/Scheme.lean,Mathlib/AlgebraicGeometry/ProjectiveSpectrum/Topology.lean,Mathlib/RingTheory/GradedAlgebra/Homogeneous/Ideal.lean,Mathlib/RingTheory/GradedAlgebra/Homogeneous/Submodule.lean,Mathlib/RingTheory/GradedAlgebra/Radical.lean,scripts/nolints_prime_decls.txt |
7 |
3 |
['github-actions', 'leanprover-community-bot-assistant'] |
nobody |
118-83003 3 months ago |
338-19844 338 days ago |
52-59768 52 days |
| 34931 |
eric-wieser author:eric-wieser |
perf: make TensorProduct.lift irreducible with a unification hint |
---
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t-algebra
merge-conflict
label:t-algebra$ |
6/2 |
Mathlib/LinearAlgebra/TensorProduct/Basic.lean |
1 |
7 |
['eric-wieser', 'github-actions', 'leanprover-radar', 'mathlib-merge-conflicts'] |
erdOne assignee:erdOne |
115-51023 3 months ago |
115-51024 115 days ago |
5-66655 5 days |
| 33020 |
FormulaRabbit81 author:FormulaRabbit81 |
chore(Topology): Deprecate file |
---
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[](https://gitpod.io/from-referrer/)
|
t-topology
large-import
merge-conflict
|
82/49 |
Mathlib/Topology/Compactness/HilbertCubeEmbedding.lean,Mathlib/Topology/MetricSpace/HausdorffAlexandroff.lean,Mathlib/Topology/MetricSpace/PiNat.lean |
3 |
3 |
['github-actions', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
nobody |
113-27634 3 months ago |
172-15023 172 days ago |
0-14835 4 hours |
| 33281 |
michelsol author:michelsol |
feat(Analysis/SpecialFunctions/Integrals): integral of 1/sqrt(1-x^2) and its integrability. |
Add the integral of the derivative of arcsin and its integrability.
---
- [ ] depends on: #33280
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new-contributor
merge-conflict
t-analysis
|
59/0 |
Mathlib/Analysis/SpecialFunctions/Integrability/Basic.lean,Mathlib/Analysis/SpecialFunctions/Integrals/Basic.lean,Mathlib/MeasureTheory/Integral/IntervalIntegral/FundThmCalculus.lean |
3 |
3 |
['github-actions', 'mathlib-dependent-issues', 'mathlib4-merge-conflict-bot'] |
nobody |
112-82828 3 months ago |
164-50653 164 days ago |
0-2872 47 minutes |
| 34156 |
zcyemi author:zcyemi |
feat(Analysis/Convex/Between): add lemmas on convex combination of mem simplex interior |
---
I add three lemmas of convex combinations preserving membership in the interior of a simplex.
And also open a zulip thread [#mathlib4 > Best place for convex combination and simplex interior](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Best.20place.20for.20convex.20combination.20and.20simplex.20interior/with/568558406)
deps:
- [ ] depends on: #33852 |
t-analysis
merge-conflict
|
170/0 |
Mathlib/Analysis/Convex/Between.lean,Mathlib/LinearAlgebra/AffineSpace/Independent.lean |
2 |
3 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
112-58745 3 months ago |
112-58745 112 days ago |
0-3761 1 hour |
| 32918 |
michelsol author:michelsol |
feat: define `supEdist` and `supDist` |
Create a new file Topology.MetricSpace.SupDistance and define the supremal distance in (extended) metric spaces. The defined `supEdist` and `supDist` will have similar theory to the already existing `infEdist` and `infDist`. The motivation is to be able to define the radius of a minimal bounding sphere as the infimum of the supDist later.
[zulip discussion here](https://leanprover.zulipchat.com/#narrow/channel/116395-maths/topic/Formalizing.20Jung's.20theorem.20and.20minimal.20bounding.20spheres) |
t-topology
new-contributor
merge-conflict
|
75/0 |
Mathlib.lean,Mathlib/Topology/MetricSpace/SupDistance.lean |
2 |
5 |
['github-actions', 'mathlib4-merge-conflict-bot', 'michelsol', 'urkud'] |
nobody |
111-52927 3 months ago |
153-45312 153 days ago |
21-3598 21 days |
| 25980 |
Multramate author:Multramate |
refactor(Algebra/Group/Submonoid/Operations): rename restrict to domRestrict and add restrict |
And update the documentation for consistency |
t-group-theory
merge-conflict
|
145/123 |
Mathlib/Algebra/Group/Subgroup/Basic.lean,Mathlib/Algebra/Group/Subgroup/Ker.lean,Mathlib/Algebra/Group/Submonoid/Operations.lean,Mathlib/GroupTheory/FiniteAbelian/Duality.lean,Mathlib/GroupTheory/MonoidLocalization/Basic.lean,Mathlib/GroupTheory/MonoidLocalization/Maps.lean,Mathlib/GroupTheory/MonoidLocalization/MonoidWithZero.lean,Mathlib/GroupTheory/PGroup.lean,Mathlib/GroupTheory/QuotientGroup/Basic.lean,Mathlib/GroupTheory/Transfer.lean,Mathlib/LinearAlgebra/RootSystem/WeylGroup.lean,Mathlib/NumberTheory/NumberField/CMField.lean,Mathlib/NumberTheory/NumberField/Ideal/Basic.lean,Mathlib/RingTheory/Localization/Defs.lean |
14 |
10 |
['Multramate', 'copilot-pull-request-reviewer', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
110-32873 3 months ago |
110-32874 110 days ago |
5-9216 5 days |
| 25981 |
Multramate author:Multramate |
feat(GroupTheory/GroupAction/Basic): define homomorphisms of fixed subgroups induced by homomorphisms of groups |
This PR continues the work from #10126.
Original PR: https://github.com/leanprover-community/mathlib4/pull/10126 |
t-group-theory
large-import
merge-conflict
|
218/144 |
Mathlib/Algebra/Group/Subgroup/Basic.lean,Mathlib/Algebra/Group/Subgroup/Ker.lean,Mathlib/Algebra/Group/Submonoid/Operations.lean,Mathlib/Algebra/Ring/Action/Submonoid.lean,Mathlib/GroupTheory/FiniteAbelian/Duality.lean,Mathlib/GroupTheory/GroupAction/Defs.lean,Mathlib/GroupTheory/MonoidLocalization/Basic.lean,Mathlib/GroupTheory/MonoidLocalization/Maps.lean,Mathlib/GroupTheory/MonoidLocalization/MonoidWithZero.lean,Mathlib/GroupTheory/PGroup.lean,Mathlib/GroupTheory/QuotientGroup/Basic.lean,Mathlib/GroupTheory/Transfer.lean,Mathlib/LinearAlgebra/RootSystem/WeylGroup.lean,Mathlib/NumberTheory/NumberField/CMField.lean,Mathlib/NumberTheory/NumberField/Ideal/Basic.lean,Mathlib/RingTheory/Localization/Defs.lean |
16 |
8 |
['copilot-pull-request-reviewer', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
110-32872 3 months ago |
110-32872 110 days ago |
4-78395 4 days |
| 33795 |
alreadydone author:alreadydone |
feat(Topology/Sheaves): LocalPredicate prerequisite for étalé spaces |
---
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|
t-topology
merge-conflict
|
418/143 |
Mathlib/AlgebraicGeometry/ProjectiveSpectrum/StructureSheaf.lean,Mathlib/Geometry/Manifold/Sheaf/Smooth.lean,Mathlib/Logic/Equiv/Basic.lean,Mathlib/Topology/Sheaves/LocalPredicate.lean,Mathlib/Topology/Sheaves/Sheafify.lean,Mathlib/Topology/Sheaves/Stalks.lean |
6 |
12 |
['adamtopaz', 'alreadydone', 'dagurtomas', 'github-actions', 'mathlib-merge-conflicts'] |
adamtopaz assignee:adamtopaz |
110-10506 3 months ago |
110-10507 110 days ago |
34-21636 34 days |
| 34674 |
Citronhat author:Citronhat |
feat(Algebra/Order/Ring): replace ENNReal lemmas with WithTop versions |
* Add `WithTop` versions of basic multiplicative order lemmas.
* Use the new `WithTop` lemmas to replace `ENNReal` proofs and address six TODOs.
* Fix a typo in the `pos_of_ne_zero` alias name. |
new-contributor
t-algebra
merge-conflict
label:t-algebra$ |
46/15 |
Mathlib/Algebra/Order/Monoid/Canonical/Defs.lean,Mathlib/Algebra/Order/Ring/WithTop.lean,Mathlib/Data/ENNReal/Operations.lean |
3 |
5 |
['Citronhat', 'Ruben-VandeVelde', 'github-actions', 'mathlib-merge-conflicts'] |
Ruben-VandeVelde assignee:Ruben-VandeVelde |
109-76776 3 months ago |
109-76777 109 days ago |
17-1225 17 days |
| 33746 |
ster-oc author:ster-oc |
feat(Algebra/Module/ZLattice): align `ZSpan.floor` to `Int.floor` API |
This PR adds some of the existent lemmas about `Int.floor`, `Int.ceil` and `Int.fract` to the `ZSpan` namespace.
---
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|
t-algebra
new-contributor
merge-conflict
label:t-algebra$ |
353/145 |
Mathlib/Algebra/Module/ZLattice/Basic.lean,Mathlib/Algebra/Order/Floor/Ring.lean,Mathlib/Topology/Algebra/Order/Floor.lean |
3 |
8 |
['github-actions', 'joelriou', 'mathlib-merge-conflicts', 'ster-oc'] |
joelriou assignee:joelriou |
105-7274 3 months ago |
105-7274 105 days ago |
30-23357 30 days |
| 31595 |
astrainfinita author:astrainfinita |
chore: redefine `Ideal.IsPrime` |
Redefine `Ideal.IsPrime` to make it correct for non-commutative cases
---
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|
t-algebra
merge-conflict
label:t-algebra$ |
333/100 |
Mathlib/Algebra/Order/Ring/Ordering/Defs.lean,Mathlib/RingTheory/DedekindDomain/Ideal/Lemmas.lean,Mathlib/RingTheory/GradedAlgebra/Radical.lean,Mathlib/RingTheory/Ideal/AssociatedPrime/Basic.lean,Mathlib/RingTheory/Ideal/Maps.lean,Mathlib/RingTheory/Ideal/Maximal.lean,Mathlib/RingTheory/Ideal/MinimalPrime/Noetherian.lean,Mathlib/RingTheory/Ideal/Oka.lean,Mathlib/RingTheory/Ideal/Operations.lean,Mathlib/RingTheory/Ideal/Over.lean,Mathlib/RingTheory/Ideal/Pointwise.lean,Mathlib/RingTheory/Ideal/Prime.lean,Mathlib/RingTheory/Ideal/Prod.lean,Mathlib/RingTheory/Ideal/Quotient/Basic.lean,Mathlib/RingTheory/Ideal/Quotient/Operations.lean,Mathlib/RingTheory/IsPrimary.lean,Mathlib/RingTheory/Localization/AtPrime/Basic.lean,Mathlib/RingTheory/Localization/Ideal.lean,Mathlib/RingTheory/Polynomial/Basic.lean,Mathlib/RingTheory/PrincipalIdealDomain.lean,Mathlib/RingTheory/Spectrum/Prime/Topology.lean,Mathlib/RingTheory/Valuation/Basic.lean |
22 |
33 |
['alreadydone', 'artie2000', 'astrainfinita', 'erdOne', 'github-actions', 'leanprover-bot', 'leanprover-radar', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot'] |
kim-em assignee:kim-em |
102-16836 3 months ago |
71-13492 71 days ago |
59-66521 59 days |
| 33791 |
PhoenixIra author:PhoenixIra |
feat: Generalization of FixedPointApproximants to CompletePartialOrder |
---
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This PR provides a generalization of FixedPointApproximants to CompletePartialOrder. Not every theorem can be generalized, as sometimes we require additional conditions (namely `x ≤ f x`) in order to guarantee that the set is directed and thus the supremum is well-defined. This is not necessary in a CompleteLattice.
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-order
merge-conflict
|
223/100 |
Mathlib/Order/CompletePartialOrder.lean,Mathlib/SetTheory/Ordinal/FixedPointApproximants.lean |
2 |
21 |
['PhoenixIra', 'github-actions', 'mathlib-merge-conflicts', 'vihdzp'] |
PhoenixIra and vihdzp assignee:PhoenixIra assignee:vihdzp |
100-44008 3 months ago |
100-44008 100 days ago |
44-16098 44 days |
| 26942 |
pechersky author:pechersky |
feat(RingTheory/Valuation/ValueGroupIso): isomorphism of value groups when compatible |
and also to the ValuativeRel's value group
by request from comment in
https://github.com/leanprover-community/mathlib4/pull/26754#issuecomment-3051770901
- [ ] depends on: #26588
---
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- [x] depends on: #26939
- [x] depends on: #26940
- [x] depends on: #26941 |
merge-conflict
t-ring-theory
t-order
|
299/3 |
Mathlib.lean,Mathlib/Algebra/GroupWithZero/Range.lean,Mathlib/Algebra/Order/GroupWithZero/Range.lean,Mathlib/Algebra/Order/GroupWithZero/WithZero.lean,Mathlib/Algebra/Order/Monoid/WithTop.lean,Mathlib/RingTheory/Valuation/ValueGroupIso.lean |
6 |
10 |
['faenuccio', 'github-actions', 'mathlib-dependent-issues', 'mathlib4-merge-conflict-bot', 'pechersky'] |
faenuccio assignee:faenuccio |
97-74589 3 months ago |
297-59999 297 days ago |
10-67838 10 days |
| 14712 |
astrainfinita author:astrainfinita |
perf: change instance priority and order about `OfNat` |
---
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|
merge-conflict
slow-typeclass-synthesis
t-algebra
label:t-algebra$ |
49/20 |
Mathlib/Algebra/Group/Nat.lean,Mathlib/Algebra/Group/ZeroOne.lean,Mathlib/Algebra/Homology/Embedding/Basic.lean,Mathlib/Algebra/Tropical/Basic.lean,Mathlib/Data/BitVec.lean,Mathlib/Data/Nat/Cast/Defs.lean,Mathlib/Data/Rat/Defs.lean,Mathlib/Data/UInt.lean,Mathlib/NumberTheory/ArithmeticFunction.lean |
9 |
26 |
['MichaelStollBayreuth', 'astrainfinita', 'eric-wieser', 'fpvandoorn', 'github-actions', 'j-loreaux', 'leanprover-bot', 'mathlib-bors'] |
nobody |
93-73694 3 months ago |
668-51864 668 days ago |
20-15089 20 days |
| 17627 |
hrmacbeth author:hrmacbeth |
feat: universal properties of vector bundle constructions |
Characterizations for the smoothness of maps into the total spaces of (1) the direct sum of two vector bundles; (2) the pullback of a vector bundle.
This gap in the library was exposed by #17358.
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-differential-geometry
|
311/9 |
Mathlib/Data/Bundle.lean,Mathlib/Geometry/Manifold/VectorBundle/Basic.lean,Mathlib/Geometry/Manifold/VectorBundle/Pullback.lean,Mathlib/Topology/FiberBundle/Constructions.lean |
4 |
26 |
['PatrickMassot', 'fpvandoorn', 'github-actions', 'grunweg', 'hrmacbeth', 'j-loreaux', 'leanprover-community-bot-assistant', 'mathlib-bors', 'mathlib4-dependent-issues-bot', 'sgouezel'] |
grunweg assignee:grunweg |
93-73682 3 months ago |
353-73421 353 days ago |
91-68302 91 days |
| 35042 |
JovanGerb author:JovanGerb |
chore: remove `meta` form `import Mathlib.Tactic...` |
This PR cleans up some imports of the form `import Mathlib.Tactic...`, by either removing them entirely, or removing the `meta` keyword. It should never be necessary to `meta import` a file from `Mathlib.Tactic`, because the relevant definitions should already have been marked as `meta`.
The motivation is to reduce the amount of files that are `meta` imported when writing e.g. `import Mathlib`, hence reducing the amount of stuff that needs to be loaded. There are more other `meta import`s that need to be removed, but this PR is a good start.
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|
large-import
merge-conflict
|
61/142 |
Mathlib/Algebra/BigOperators/Group/Finset/Defs.lean,Mathlib/Algebra/FreeMonoid/Basic.lean,Mathlib/Algebra/Group/Action/Hom.lean,Mathlib/Algebra/Order/Group/Unbundled/Abs.lean,Mathlib/CategoryTheory/Functor/Basic.lean,Mathlib/Data/List/ChainOfFn.lean,Mathlib/Dynamics/OmegaLimit.lean,Mathlib/GroupTheory/GroupAction/Defs.lean,Mathlib/GroupTheory/GroupAction/DomAct/Basic.lean,Mathlib/Tactic/Algebraize.lean,Mathlib/Tactic/ApplyFun.lean,Mathlib/Tactic/ArithMult.lean,Mathlib/Tactic/Bound.lean,Mathlib/Tactic/CategoryTheory/Bicategory/Datatypes.lean,Mathlib/Tactic/CategoryTheory/Bicategory/Normalize.lean,Mathlib/Tactic/CategoryTheory/Bicategory/PureCoherence.lean,Mathlib/Tactic/CategoryTheory/CheckCompositions.lean,Mathlib/Tactic/CategoryTheory/Coherence/Basic.lean,Mathlib/Tactic/CategoryTheory/Coherence/Normalize.lean,Mathlib/Tactic/CategoryTheory/Coherence/PureCoherence.lean,Mathlib/Tactic/CategoryTheory/Elementwise.lean,Mathlib/Tactic/CategoryTheory/Monoidal/Datatypes.lean,Mathlib/Tactic/CategoryTheory/Monoidal/Normalize.lean,Mathlib/Tactic/CategoryTheory/Monoidal/PureCoherence.lean,Mathlib/Tactic/CategoryTheory/ToApp.lean,Mathlib/Tactic/Choose.lean,Mathlib/Tactic/DeclarationNames.lean,Mathlib/Tactic/DefEqTransformations.lean,Mathlib/Tactic/DeriveCountable.lean,Mathlib/Tactic/DeriveFintype.lean,Mathlib/Tactic/DeriveTraversable.lean,Mathlib/Tactic/ENatToNat.lean,Mathlib/Tactic/Explode.lean,Mathlib/Tactic/Explode/Pretty.lean,Mathlib/Tactic/FinCases.lean,Mathlib/Tactic/FunProp.lean,Mathlib/Tactic/FunProp/Attr.lean,Mathlib/Tactic/FunProp/Core.lean,Mathlib/Tactic/FunProp/FunctionData.lean,Mathlib/Tactic/FunProp/Theorems.lean,Mathlib/Tactic/FunProp/Types.lean,Mathlib/Tactic/GCongr/Core.lean,Mathlib/Tactic/GRewrite/Elab.lean,Mathlib/Tactic/Group.lean,Mathlib/Tactic/IrreducibleDef.lean,Mathlib/Tactic/Lift.lean,Mathlib/Tactic/Linarith.lean,Mathlib/Tactic/Linarith/Lemmas.lean,Mathlib/Tactic/Linarith/Oracle/FourierMotzkin.lean,Mathlib/Tactic/Linarith/Oracle/SimplexAlgorithm.lean,Mathlib/Tactic/Linarith/Oracle/SimplexAlgorithm/Gauss.lean,Mathlib/Tactic/Linarith/Oracle/SimplexAlgorithm/SimplexAlgorithm.lean,Mathlib/Tactic/Linarith/Preprocessing.lean,Mathlib/Tactic/Linarith/Verification.lean,Mathlib/Tactic/LinearCombination/Lemmas.lean,Mathlib/Tactic/Linter/DeprecatedSyntaxLinter.lean,Mathlib/Tactic/Linter/DocPrime.lean,Mathlib/Tactic/Linter/DocString.lean,Mathlib/Tactic/Linter/EmptyLine.lean,Mathlib/Tactic/Linter/FlexibleLinter.lean,Mathlib/Tactic/Linter/GlobalAttributeIn.lean,Mathlib/Tactic/Linter/HashCommandLinter.lean,Mathlib/Tactic/Linter/Multigoal.lean,Mathlib/Tactic/Linter/OldObtain.lean,Mathlib/Tactic/Linter/Style.lean,Mathlib/Tactic/Linter/TextBased.lean,Mathlib/Tactic/Linter/TextBased/UnicodeLinter.lean,Mathlib/Tactic/Linter/UnusedTactic.lean,Mathlib/Tactic/Linter/UnusedTacticExtension.lean,Mathlib/Tactic/MinImports.lean,Mathlib/Tactic/MoveAdd.lean,Mathlib/Tactic/Nontriviality/Core.lean,Mathlib/Tactic/NormNum/DivMod.lean,Mathlib/Tactic/NormNum/Ineq.lean,Mathlib/Tactic/NormNum/Prime.lean,Mathlib/Tactic/Order.lean,Mathlib/Tactic/Order/CollectFacts.lean,Mathlib/Tactic/Order/Graph/Tarjan.lean,Mathlib/Tactic/PNatToNat.lean,Mathlib/Tactic/Peel.lean,Mathlib/Tactic/ProdAssoc.lean,Mathlib/Tactic/ProxyType.lean,Mathlib/Tactic/Push.lean,Mathlib/Tactic/Qify.lean,Mathlib/Tactic/RSuffices.lean,Mathlib/Tactic/Ring/Basic.lean,Mathlib/Tactic/Ring/Common.lean,Mathlib/Tactic/Ring/Compare.lean,Mathlib/Tactic/Ring/PNat.lean,Mathlib/Tactic/Simproc/Divisors.lean,Mathlib/Tactic/Simproc/FinsetInterval.lean,Mathlib/Tactic/Simps/Basic.lean,Mathlib/Tactic/Subsingleton.lean,Mathlib/Tactic/TacticAnalysis/Declarations.lean,Mathlib/Tactic/TautoSet.lean,Mathlib/Tactic/Translate/Core.lean,Mathlib/Tactic/Translate/TagUnfoldBoundary.lean,Mathlib/Tactic/Widget/Calc.lean,Mathlib/Tactic/Widget/CommDiag.lean,Mathlib/Tactic/Widget/CongrM.lean |
107 |
9 |
['JovanGerb', 'dupuisf', 'github-actions', 'leanprover-radar', 'mathlib-merge-conflicts'] |
robin-carlier assignee:robin-carlier |
88-63638 2 months ago |
84-531 84 days ago |
26-69911 26 days |
| 36495 |
AlexKontorovich author:AlexKontorovich |
chore(Finset/NatDivisors): refactor `card_divisors_mul` and `sum_divisors_mul` to not rely on `ArithmeticFunction` |
`Nat.Coprime.card_divisors_mul` and `Nat.Coprime.sum_divisors_mul` are moved to not rely on `ArithmeticFunction`. See zulip discussion here: [#mathlib4 > Library design question, e.g.`Nat.Coprime.card_divisors_mul` @ 💬](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Library.20design.20question.2C.20e.2Eg.2E.60Nat.2ECoprime.2Ecard_divisors_mul.60/near/577769899)
Co-authored-by: Ziyan Wei <zw810@scarletmail.rutgers.edu> and Aayush Rajasekaran <arajasek94@gmail.com>
---
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large-import
t-number-theory
t-algebra
merge-conflict
label:t-algebra$ |
45/14 |
Mathlib/Algebra/GCDMonoid/Basic.lean,Mathlib/Data/Finset/NatDivisors.lean,Mathlib/NumberTheory/ArithmeticFunction/Misc.lean |
3 |
6 |
['AlexKontorovich', 'arajasek', 'github-actions', 'mathlib-merge-conflicts'] |
riccardobrasca assignee:riccardobrasca |
88-47155 2 months ago |
30-43519 30 days ago |
53-21240 53 days |
| 27534 |
PierreQuinton author:PierreQuinton |
feat: a typeclass for `sSup`/`sInf` to be lawful |
Adds lawful infima and suprema type classes.
A preorder with lawful suprema: whenever a set has a least upper bound, `sSup` returns a least upper bound for that set.
A preorder with lawful infima: whenever a set has a greatest lower bound, `sInf` returns a greastest lower bound for that set.
---
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|
merge-conflict
t-order
|
121/8 |
Mathlib.lean,Mathlib/Order/CompleteLattice/Defs.lean,Mathlib/Order/LawfulSupInf.lean |
3 |
26 |
['PierreQuinton', 'YaelDillies', 'github-actions', 'mathlib4-merge-conflict-bot', 'plp127', 'vihdzp'] |
nobody |
85-58385 2 months ago |
201-3060 201 days ago |
114-37921 114 days |
| 37530 |
mcdoll author:mcdoll |
fix(Topology/Algebra): fix bad simps and make arguments implicit for `PointwiseConvergenceCLM` |
We delete all `simps` calls in the definitions of operators on `PointwiseConvergenceCLM` and replace them with `apply_apply` lemmas that do not abuse the defeq between `SLₚₜ` and `SL`. This made the linter discover some typeclass duplications, which we remove by restructuring the file.
As a consequence of the new `simp` lemmas, we can remove all `set_option backward.isDefEq.respectTransparency false in` in `Analysis.Distribution.TemperedDistribution`.
Moreover, we make several arguments implicit, which can be inferred in almost all practical situations.
---
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|
not-ready-to-merge
merge-conflict
|
88/69 |
Mathlib/Analysis/Distribution/TemperedDistribution.lean,Mathlib/Topology/Algebra/Module/Spaces/PointwiseConvergenceCLM.lean |
2 |
5 |
['github-actions', 'jcommelin', 'mathlib-merge-conflicts', 'mcdoll'] |
nobody |
50-7228 1 month ago |
50-7229 50 days ago |
14-59669 14 days |
| 37593 |
IlPreteRosso author:IlPreteRosso |
refactor(Data.Finset.*Antidiagonal): rename set-based defs to `set*Antidiagonal` |
Renames set-based `Finset.mulAntidiagonal` → `setMulAntidiagonal` (and SMul/VAdd variants) to free the `mulAntidiagonal` name for the planned `HasMulAntidiagonal` typeclass. Deprecation aliases added.
Supersedes #34551 |
t-ring-theory
new-contributor
merge-conflict
|
178/96 |
Mathlib/Algebra/Order/Antidiag/Prod.lean,Mathlib/Data/Finset/MulAntidiagonal.lean,Mathlib/Data/Finset/SMulAntidiagonal.lean,Mathlib/RingTheory/HahnSeries/Multiplication.lean,Mathlib/RingTheory/HahnSeries/PowerSeries.lean,Mathlib/RingTheory/HahnSeries/Summable.lean |
6 |
3 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
50-7227 1 month ago |
50-7228 50 days ago |
15-61521 15 days |
| 37444 |
vihdzp author:vihdzp |
feat: typeclass for zero-dimensional spaces |
---
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|
t-topology
large-import
merge-conflict
|
151/110 |
Mathlib/Topology/Algebra/ClopenNhdofOne.lean,Mathlib/Topology/Category/LightProfinite/Basic.lean,Mathlib/Topology/Category/Profinite/Basic.lean,Mathlib/Topology/Category/Profinite/CofilteredLimit.lean,Mathlib/Topology/Category/Stonean/Basic.lean,Mathlib/Topology/ClopenBox.lean,Mathlib/Topology/Order.lean,Mathlib/Topology/Order/WithTop.lean,Mathlib/Topology/Separation/CompletelyRegular.lean,Mathlib/Topology/Separation/DisjointCover.lean,Mathlib/Topology/Separation/Lemmas.lean,Mathlib/Topology/Separation/Profinite.lean,Mathlib/Topology/UniformSpace/Ultra/Basic.lean |
13 |
17 |
['ADedecker', 'FernandoChu', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'vihdzp'] |
nobody |
47-72911 1 month ago |
47-73983 47 days ago |
0-5306 1 hour |
| 38239 |
vihdzp author:vihdzp |
chore(Order/SuccPred/Limit): reorganize sections |
In an effort to keep the file better organized, we move theorems which use `SuccOrder`/`PredOrder` as an assumption to a new section.
No theorems have been changed.
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t-order
merge-conflict
|
95/110 |
Mathlib/Order/SuccPred/Limit.lean |
1 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
47-36805 1 month ago |
47-36806 47 days ago |
2-48556 2 days |
| 37461 |
grunweg author:grunweg |
chore: golf using the field tactic |
---
In the spirit of #31314.
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merge-conflict |
32/43 |
Counterexamples/NowhereDifferentiable.lean,Mathlib/Analysis/Calculus/Monotone.lean,Mathlib/Analysis/Complex/BorelCaratheodory.lean,Mathlib/Analysis/MeanInequalities.lean,Mathlib/Analysis/Normed/Field/Lemmas.lean,Mathlib/Analysis/SpecialFunctions/Complex/LogBounds.lean,Mathlib/Analysis/SpecialFunctions/Elliptic/Weierstrass.lean,Mathlib/Analysis/SpecialFunctions/Integrals/Basic.lean,Mathlib/InformationTheory/KullbackLeibler/Basic.lean,Mathlib/LinearAlgebra/Lagrange.lean,Mathlib/MeasureTheory/Integral/MeanValue.lean,Mathlib/NumberTheory/ModularForms/Discriminant.lean,Mathlib/NumberTheory/ModularForms/EisensteinSeries/E2/Defs.lean,Mathlib/NumberTheory/ModularForms/EisensteinSeries/E2/MDifferentiable.lean,Mathlib/NumberTheory/ModularForms/QExpansion.lean,Mathlib/Probability/CentralLimitTheorem.lean,Mathlib/Probability/Distributions/Gaussian/CharFun.lean,Mathlib/RepresentationTheory/Homological/GroupCohomology/Hilbert90.lean,Mathlib/RingTheory/PowerSeries/Exp.lean,Mathlib/Topology/UnitInterval.lean |
20 |
5 |
['github-actions', 'grunweg', 'j-loreaux', 'mathlib-merge-conflicts'] |
nobody |
45-36509 1 month ago |
45-36510 45 days ago |
22-59925 22 days |
| 37774 |
weisbrja author:weisbrja |
fix: change variables in `bicompl` to `Sort*` and add missing theorem mentioned in `bicompl` docs |
[#mathlib4 > Why does Mathlib use Type* instead of Sort* in some places?](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Why.20does.20Mathlib.20use.20Type.2A.20instead.20of.20Sort.2A.20in.20some.20places.3F/with/583882342)
---
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new-contributor
t-logic
merge-conflict
|
6/1 |
Mathlib/Logic/Function/Basic.lean |
1 |
8 |
['github-actions', 'kbuzzard', 'leanprover-radar', 'mathlib-merge-conflicts', 'weisbrja'] |
nobody |
41-50137 1 month ago |
41-50138 41 days ago |
19-76858 19 days |
| 36740 |
euprunin author:euprunin |
chore: golf using `grind` |
The goal of this PR is to decrease the number of times lemmas are called explicitly. Any decrease in compilation time is a welcome side effect, although it is not a primary objective.
Trace profiling results (differences <30 ms considered measurement noise):
* `AlgebraicGeometry.Scheme.isBasis_affineOpens`: unchanged 🎉
* `SimpleGraph.Walk.takeUntil_eq_take`: 263 ms before, 180 ms after 🎉
* `SimpleGraph.Walk.dropUntil_eq_drop`: 382 ms before, 261 ms after 🎉
* `Int.image_Ico_emod`: unchanged 🎉
* `Equiv.Perm.ofSubtype_swap_eq`: unchanged 🎉
Profiled using `set_option trace.profiler true in`.
---
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merge-conflict |
7/33 |
Mathlib/AlgebraicGeometry/AffineScheme.lean,Mathlib/Combinatorics/SimpleGraph/Walk/Decomp.lean,Mathlib/Data/Int/Interval.lean,Mathlib/GroupTheory/Perm/Support.lean |
4 |
8 |
['artie2000', 'chenson2018', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
39-39600 1 month ago |
39-39601 39 days ago |
43-5868 43 days |
| 37603 |
Parcly-Taxel author:Parcly-Taxel |
refactor: review of `SetSemiring` |
* Rename `Set.up` and `SetSemiring.down` to `SetSemiring.ofSet` and `SetSemiring.toSet` respectively. Unprotect both and make them equivalences, following `FreeMonoid`.
* Derive `CompleteAtomicBooleanAlgebra` for `SetSemiring` immediately.
* Add `imageHom_id` and `imageHom_comp`. The three existing lemmas about `imageHom` are coalesced into `imageHom_apply`.
Ultimately inspired by https://github.com/leanprover-community/mathlib4/pull/36934#issuecomment-4183475568. |
maintainer-merge
merge-conflict
|
120/165 |
Mathlib/Algebra/Algebra/Operations.lean,Mathlib/Data/Set/Semiring.lean |
2 |
42 |
['Parcly-Taxel', 'YaelDillies', 'eric-wieser', 'github-actions', 'mathlib-merge-conflicts', 'sgouezel'] |
nobody |
39-30990 1 month ago |
39-30991 39 days ago |
22-62470 22 days |
| 38329 |
jcommelin author:jcommelin |
chore: tighten down public/exposed API of AlgebraicClosure |
This PR tightens down the API of AlgebraicClosure,
by making few parts of FieldTheory/IsAlgClosed/AlgebraicClosure.lean
public and/or exposed.
We still need to expose the main definition.
It would be great if we can unexpose it in the future.
---
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|
t-algebra
merge-conflict
label:t-algebra$ |
73/53 |
Mathlib/Algebra/Lie/TraceForm.lean,Mathlib/FieldTheory/AxGrothendieck.lean,Mathlib/FieldTheory/Differential/Liouville.lean,Mathlib/FieldTheory/IsAlgClosed/AlgebraicClosure.lean,Mathlib/ModelTheory/Algebra/Field/IsAlgClosed.lean,Mathlib/RingTheory/Discriminant.lean,Mathlib/RingTheory/IntegralClosure/IntegralRestrict.lean,Mathlib/RingTheory/Norm/Transitivity.lean,Mathlib/RingTheory/Trace/Basic.lean |
9 |
26 |
['eric-wieser', 'github-actions', 'jcommelin', 'kbuzzard', 'leanprover-radar', 'mathlib-merge-conflicts', 'plp127', 'riccardobrasca'] |
nobody |
39-30973 1 month ago |
39-30974 39 days ago |
7-41851 7 days |
| 37819 |
YellPika author:YellPika |
feat(Order/OmegaCompletePartialOrder): add `OmegaCompletePartialOrder` instance for `WithBot` with basic `ωScottContinuous` lemmas |
This is a modification of #34093. See #34093 for details.
---
- [x] depends on: #33941
- [x] depends on: #37258
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new-contributor
t-order
merge-conflict
|
337/10 |
Mathlib/Algebra/Order/Ring/WithTop.lean,Mathlib/Analysis/BoxIntegral/Box/Basic.lean,Mathlib/Order/Monotone/Basic.lean,Mathlib/Order/OmegaCompletePartialOrder.lean,Mathlib/Order/TypeTags.lean,Mathlib/Order/WithBot.lean |
6 |
5 |
['Komyyy', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
Komyyy assignee:Komyyy |
38-14198 1 month ago |
38-14198 38 days ago |
22-11204 22 days |
| 37053 |
artie2000 author:artie2000 |
refactor(Analysis/Convex/Cone): use `PointedCone` in Riesz extension theorem |
Change the statement of the Riesz extension theorem to take a `PointedCone` rather than a `ConvexCone`.
This PR is part of a series replacing `ConvexCone` with `PointedCone`. https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Replacing.20.60ConvexCone.60.20with.20.60PointedCone.60/near/581184307
---
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|
t-convex-geometry
maintainer-merge
merge-conflict
|
15/12 |
Mathlib/Analysis/Convex/Cone/Extension.lean,Mathlib/Geometry/Convex/Cone/Pointed.lean |
2 |
9 |
['YaelDillies', 'artie2000', 'github-actions', 'mathlib-merge-conflicts', 'ocfnash'] |
nobody |
27-39203 27 days ago |
27-39204 27 days ago |
46-71615 46 days |
| 37553 |
grunweg author:grunweg |
chore: golf using .ne and friends |
ne_of_gt -> .ne'
ne_of_lt -> .ne
le_of_lt -> .le
Drive-by golfs using gcongr and positivity and been split into separate PRs.
---
- [x] depends on: #37462
- [x] depends on: #37715
- [x] depends on: #37554
- [x] depends on: #37845
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|
merge-conflict |
302/321 |
Archive/Imo/Imo1981Q3.lean,Archive/Imo/Imo2011Q3.lean,Archive/Imo/Imo2013Q5.lean,Archive/Imo/Imo2019Q4.lean,Archive/Wiedijk100Theorems/CubingACube.lean,Counterexamples/DiscreteTopologyNonDiscreteUniformity.lean,Counterexamples/NowhereDifferentiable.lean,Counterexamples/TopologistsSineCurve.lean,Mathlib/Algebra/BigOperators/Fin.lean,Mathlib/Algebra/BigOperators/Group/List/Lemmas.lean,Mathlib/Algebra/CharP/Defs.lean,Mathlib/Algebra/Group/Fin/Basic.lean,Mathlib/Algebra/Group/Pointwise/Set/Finite.lean,Mathlib/Algebra/Lie/Nilpotent.lean,Mathlib/Algebra/Module/Torsion/Basic.lean,Mathlib/Algebra/Module/ZLattice/Basic.lean,Mathlib/Algebra/Module/ZLattice/Covolume.lean,Mathlib/Algebra/Order/Antidiag/Nat.lean,Mathlib/Algebra/Order/Archimedean/Basic.lean,Mathlib/Algebra/Order/Archimedean/Class.lean,Mathlib/Algebra/Order/BigOperators/Group/Multiset.lean,Mathlib/Algebra/Order/BigOperators/GroupWithZero/Finset.lean,Mathlib/Algebra/Order/CauSeq/Basic.lean,Mathlib/Algebra/Order/CauSeq/BigOperators.lean,Mathlib/Algebra/Order/CompleteField.lean,Mathlib/Algebra/Order/Field/Basic.lean,Mathlib/Algebra/Order/GroupWithZero/Range.lean,Mathlib/Algebra/Order/GroupWithZero/Unbundled/Basic.lean,Mathlib/Algebra/Order/Interval/Set/Instances.lean,Mathlib/Algebra/Order/Module/HahnEmbedding.lean,Mathlib/Algebra/Order/Ring/WithTop.lean,Mathlib/Algebra/Order/Round.lean,Mathlib/Algebra/Order/ToIntervalMod.lean,Mathlib/Algebra/Polynomial/DenomsClearable.lean,Mathlib/Algebra/Polynomial/EraseLead.lean,Mathlib/Algebra/Polynomial/Monic.lean,Mathlib/Algebra/QuadraticDiscriminant.lean,Mathlib/AlgebraicGeometry/ProjectiveSpectrum/Proper.lean,Mathlib/Analysis/Analytic/Composition.lean,Mathlib/Analysis/Analytic/Inverse.lean,Mathlib/Analysis/Analytic/OfScalars.lean,Mathlib/Analysis/Analytic/Uniqueness.lean,Mathlib/Analysis/Asymptotics/ExpGrowth.lean,Mathlib/Analysis/Asymptotics/LinearGrowth.lean,Mathlib/Analysis/Asymptotics/SpecificAsymptotics.lean,Mathlib/Analysis/Asymptotics/TVS.lean,Mathlib/Analysis/BoxIntegral/Basic.lean,Mathlib/Analysis/BoxIntegral/Partition/Tagged.lean,Mathlib/Analysis/Calculus/BumpFunction/FiniteDimension.lean,Mathlib/Analysis/Calculus/ContDiff/Defs.lean,Mathlib/Analysis/Calculus/ContDiff/FTaylorSeries.lean,Mathlib/Analysis/Calculus/DerivativeTest.lean,Mathlib/Analysis/Calculus/FDeriv/Extend.lean,Mathlib/Analysis/Calculus/FDeriv/Measurable.lean,Mathlib/Analysis/Calculus/IteratedDeriv/Defs.lean,Mathlib/Analysis/Calculus/LHopital.lean,Mathlib/Analysis/Complex/Exponential.lean,Mathlib/Analysis/Complex/Hadamard.lean,Mathlib/Analysis/Complex/OpenMapping.lean,Mathlib/Analysis/Complex/Poisson.lean,Mathlib/Analysis/Complex/Trigonometric.lean,Mathlib/Analysis/Convex/Between.lean,Mathlib/Analysis/Convex/Caratheodory.lean,Mathlib/Analysis/Convex/Combination.lean,Mathlib/Analysis/Convex/Gauge.lean,Mathlib/Analysis/Convex/Radon.lean,Mathlib/Analysis/Convex/SpecificFunctions/Deriv.lean,Mathlib/Analysis/Convolution.lean,Mathlib/Analysis/InnerProductSpace/Subspace.lean,Mathlib/Analysis/LocallyConvex/WithSeminorms.lean,Mathlib/Analysis/MeanInequalities.lean,Mathlib/Analysis/MeanInequalitiesPow.lean,Mathlib/Analysis/MellinInversion.lean,Mathlib/Analysis/MellinTransform.lean,Mathlib/Analysis/Normed/Field/Approximation.lean,Mathlib/Analysis/Normed/Module/FiniteDimension.lean,Mathlib/Analysis/Normed/Operator/ContinuousAlgEquiv.lean,Mathlib/Analysis/Normed/Ring/Units.lean,Mathlib/Analysis/Normed/Unbundled/IsPowMulFaithful.lean,Mathlib/Analysis/Normed/Unbundled/SmoothingSeminorm.lean,Mathlib/Analysis/Normed/Unbundled/SpectralNorm.lean,Mathlib/Analysis/Oscillation.lean,Mathlib/Analysis/Real/Hyperreal.lean,Mathlib/Analysis/Real/Pi/Bounds.lean,Mathlib/Analysis/SpecialFunctions/ContinuousFunctionalCalculus/Rpow/IntegralRepresentation.lean,Mathlib/Analysis/SpecialFunctions/Log/Basic.lean,Mathlib/Analysis/SpecialFunctions/PolarCoord.lean,Mathlib/Analysis/SpecialFunctions/Pow/NNReal.lean,Mathlib/Analysis/SpecialFunctions/Pow/Real.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Basic.lean,Mathlib/Data/EReal/Inv.lean,Mathlib/Data/Finset/Image.lean,Mathlib/Data/Int/Interval.lean,Mathlib/Data/Int/ModEq.lean,Mathlib/Data/Nat/Bitwise.lean,Mathlib/Data/Nat/Lattice.lean,Mathlib/Data/Nat/Log.lean,Mathlib/Data/Nat/Multiplicity.lean,Mathlib/Data/Real/ConjExponents.lean,Mathlib/Dynamics/Circle/RotationNumber/TranslationNumber.lean |
114 |
7 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
25-30489 25 days ago |
25-30489 25 days ago |
13-66876 13 days |
| 39229 |
grunweg author:grunweg |
dev: towards `fun_prop` on manifolds |
---
- [ ] depends on: #39226
Rebased version of #31580. Meant to be a prototype that demonstrate how this could possibly work.
Not functional yet; waiting on cache to continue.
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|
t-meta
merge-conflict
|
305/1 |
Mathlib/Geometry/Manifold/Notation.lean,Mathlib/Tactic/FunProp/Core.lean,MathlibTest/DifferentialGeometry/FunPropM.lean,MathlibTest/fun_prop_dev.lean |
4 |
4 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
23-11379 23 days ago |
27-24951 27 days ago |
0-12 12 seconds |
| 39329 |
lecopivo author:lecopivo |
feat(fun_prop): eager application of transition theorems for fun_prop |
For properties like Integrable we want to apply transition theorems(like Continuous -> Integrable) eagerly
---
This is a change necessary in preparation for making `fun_prop` work for integrability.
-->
[](https://gitpod.io/from-referrer/)
|
t-meta
merge-conflict
|
93/30 |
Mathlib/Tactic/FunProp/Attr.lean,Mathlib/Tactic/FunProp/Core.lean,Mathlib/Tactic/FunProp/Decl.lean,MathlibTest/FunPropMinimal.lean |
4 |
14 |
['b-mehta', 'github-actions', 'lecopivo', 'mathlib-merge-conflicts'] |
JovanGerb assignee:JovanGerb |
20-58197 20 days ago |
22-72145 22 days ago |
1-47071 1 day |
| 37584 |
kennethgoodman author:kennethgoodman |
feat(Data/Nat/Fib): formalize Lamé's theorem |
## Summary
Formalize [Lamé's theorem](https://en.wikipedia.org/wiki/Lam%C3%A9%27s_theorem) (1844), the founding result of computational complexity theory.
**Lamé's Theorem:** If the Euclidean algorithm on inputs `(a, b)` with `b ≤ a` takes `n + 1` division steps, then `b ≥ fib(n + 1)` and `a ≥ fib(n + 2)`.
### New definitions
- `Nat.euclidSteps`: counts the number of division steps in the Euclidean algorithm on natural number inputs.
### New theorems
- `Nat.fib_le_of_euclidSteps`: the main Lamé bound — Fibonacci lower bound on inputs given a step count.
- `Nat.euclidSteps_le_of_lt_fib`: the contrapositive — step count upper bound given a Fibonacci bound on the smaller input.
- `Nat.add_mod_le`: helper lemma that `b + a % b ≤ a` when `b ≤ a` and `0 < b`.
### Proof strategy
Induction on `n`, tracking both elements of the pair. The key insight is that each Euclidean step replaces `(a, b)` with `(b, a % b)`, and since `a ≥ b + a % b` (because `a / b ≥ 1`), the Fibonacci recurrence `fib(n+3) = fib(n+2) + fib(n+1)` matches the structure of the algorithm.
### References
- Gabriel Lamé, *Note sur la limite du nombre des divisions dans la recherche du plus grand commun diviseur entre deux nombres entiers*, Comptes rendus de l'Académie des sciences, 1844.
---
### AI usage disclosure
Per the [Mathlib AI guidelines](https://leanprover-community.github.io/contribute/index.html#use-of-ai): Claude Code (Claude Opus 4.6) was used to assist with writing the Lean 4 proof code, fixing tactic errors, and drafting this PR description. The mathematical proof (induction on step count, tracking both pair elements through the Fibonacci recurrence) was designed by hand and verified on paper before formalization. I have reviewed and understand every line of the resulting Lean code and can explain all proof steps.
---
- [x] builds cleanly (`lake build Mathlib.Data.Nat.Fib.Lame`)
- [x] no `sorry`
- [x] lines ≤ 100 characters, no trailing whitespace
- [x] `autoImplicit false`
- [x] docstrings on all public declarations |
new-contributor
LLM-generated
t-data
merge-conflict
|
121/0 |
Mathlib.lean,Mathlib/Data/Nat/Basic.lean,Mathlib/Data/Nat/Fib/Basic.lean,Mathlib/Data/Nat/Fib/Lame.lean,docs/1000.yaml |
5 |
25 |
['euprunin', 'github-actions', 'kennethgoodman', 'mathlib-merge-conflicts', 'vihdzp', 'wwylele'] |
TwoFX assignee:TwoFX |
20-46870 20 days ago |
20-46871 20 days ago |
44-66371 44 days |
| 38036 |
JovanGerb author:JovanGerb |
feat: `NSMul`/`NPow` type class |
This PR is adds `NSMul`, `NPow`, `ZSMul` and `ZPow` classes for the `nsmul`, `npow`, `zsmul`, `zpow` data fields.
This has a few advantages:
- If you first declare a `SMul` instance, then you don't need to manually write `nsmul := (· • ·)` and `zsmul := (· • ·)` . For `Pow`, the extra benefit is that inferring the instance is preferred over the default field `npowRecAuto`. So this helps avoid accidental diamonds.
- If you first declare a `SMul` instance on a type synonym, then `inferInstanceAs` will infer the `nsmul` field from the `SMul` instance. This makes it easier to avoid diamonds on type synonyms like `Matrix` and `MonoidAlgebra`.
- The not-yet-merged instance diamond linter will be able to detect cases where the `NSMul` and `SMul` classes do not agree.
In the process of making this PR, I have identified two existing `NPow` diamonds:
- In `Mathlib.Algebra.Order.Positive.Field`, there were two conflicting `NPow` instances.
- For `Fin`, there are two conflicting `NPow` instances. I have overwritten the one in core lean with the one from mathlib that is more computationally efficient.
TODO: the same for `QSMul` and `NNQSMul`.
---
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merge-conflict |
276/273 |
Mathlib/Algebra/Colimit/DirectLimit.lean,Mathlib/Algebra/FreeAlgebra.lean,Mathlib/Algebra/Group/Action/Opposite.lean,Mathlib/Algebra/Group/Defs.lean,Mathlib/Algebra/Group/Ext.lean,Mathlib/Algebra/Group/Int/Defs.lean,Mathlib/Algebra/Group/Opposite.lean,Mathlib/Algebra/Group/Prod.lean,Mathlib/Algebra/Group/Submonoid/Membership.lean,Mathlib/Algebra/Group/TypeTags/Basic.lean,Mathlib/Algebra/Group/Units/Defs.lean,Mathlib/Algebra/GroupWithZero/Action/Opposite.lean,Mathlib/Algebra/Module/NatInt.lean,Mathlib/Algebra/MonoidAlgebra/Defs.lean,Mathlib/Algebra/Order/Monoid/Unbundled/WithTop.lean,Mathlib/Algebra/Order/Positive/Field.lean,Mathlib/Algebra/Order/Ring/Archimedean.lean,Mathlib/Algebra/Order/Ring/WithTop.lean,Mathlib/Algebra/Ring/MinimalAxioms.lean,Mathlib/Algebra/RingQuot.lean,Mathlib/CategoryTheory/Triangulated/Basic.lean,Mathlib/Data/BitVec.lean,Mathlib/Data/Complex/Basic.lean,Mathlib/Data/Rat/Defs.lean,Mathlib/Data/ZMod/Defs.lean,Mathlib/Data/ZMod/IntUnitsPower.lean,Mathlib/FieldTheory/RatFunc/Basic.lean,Mathlib/GroupTheory/GroupAction/Hom.lean,Mathlib/LinearAlgebra/Matrix/Defs.lean,Mathlib/LinearAlgebra/Matrix/ZPow.lean,Mathlib/LinearAlgebra/TensorProduct/Basic.lean,Mathlib/LinearAlgebra/TensorProduct/Defs.lean,Mathlib/NumberTheory/ArithmeticFunction/Defs.lean,Mathlib/RingTheory/PolynomialLaw/Basic.lean,Mathlib/RingTheory/Valuation/ValuativeRel/Basic.lean,Mathlib/SetTheory/Cardinal/Order.lean,Mathlib/Tactic/Abel.lean,Mathlib/Tactic/Translate/ToAdditive.lean,Mathlib/Topology/Algebra/GroupCompletion.lean,Mathlib/Topology/Algebra/Module/LinearMap.lean,MathlibTest/instance_diamonds.lean |
41 |
17 |
['JovanGerb', 'eric-wieser', 'github-actions', 'jcommelin', 'leanprover-radar', 'mathlib-merge-conflicts', 'vihdzp'] |
nobody |
18-30433 18 days ago |
18-30434 18 days ago |
29-38312 29 days |
| 39509 |
mcdoll author:mcdoll |
chore(Topology): add `push/pull_end` tags for CLMs |
Simpsets were introduced in #38359, see also #39508
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t-topology
merge-conflict
|
2/0 |
Mathlib/Topology/Algebra/Module/LinearMap.lean |
1 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
j-loreaux assignee:j-loreaux |
18-26370 18 days ago |
18-30418 18 days ago |
3-40182 3 days |
| 36774 |
euprunin author:euprunin |
chore: replace long terminal `rw […]`:s (≥4 lemmas) with bare `simp`:s |
The goal of this PR is to decrease the number of times lemmas are called explicitly. Any decrease in compilation time is a welcome side effect, although it is not a primary objective.
Trace profiling results (differences <30 ms considered measurement noise):
* `Finset.lcm_union`: unchanged 🎉
* `Finset.gcd_union`: unchanged 🎉
* `Polynomial.derivative_eval₂_C`: unchanged 🎉
* `Polynomial.expand_pow`: unchanged 🎉
* `Cardinal.mk_real`: unchanged 🎉
* `Real.log_zpow`: unchanged 🎉
* `Matroid.eRank_le_encard_add_eRk_compl`: unchanged 🎉
* `DFinsupp.single_tsub`: unchanged 🎉
* `EReal.inv_neg`: unchanged 🎉
* `Finsupp.toMultiset_map`: unchanged 🎉
* `Finsupp.single_tsub`: unchanged 🎉
* `Multiset.countP_map`: unchanged 🎉
* `Nat.ascFactorial_eq_factorial_mul_choose'`: unchanged 🎉
* `Real.sign_intCast`: unchanged 🎉
* `Real.volume_eball`: unchanged 🎉
* `Real.volume_closedEBall`: unchanged 🎉
* `LFunction_ne_zero_of_not_quadratic_or_ne_one`: 295 ms before, 152 ms after 🎉
* `hasSum_one_div_nat_pow_mul_cos`: unchanged 🎉
* `inv_eq_of_aeval_divX_ne_zero`: unchanged 🎉
* `AlgebraicIndependent.aeval_comp_mvPolynomialOptionEquivPolynomialAdjoin`: unchanged 🎉
* `Ordinal.deriv_mul_eq_opow_omega0_mul`: unchanged 🎉
Profiled using `set_option trace.profiler true in`.
---
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|
merge-conflict |
22/24 |
Mathlib/Algebra/GCDMonoid/Finset.lean,Mathlib/Algebra/Polynomial/Derivative.lean,Mathlib/Algebra/Polynomial/Expand.lean,Mathlib/Analysis/Real/Cardinality.lean,Mathlib/Analysis/SpecialFunctions/Log/Basic.lean,Mathlib/Combinatorics/Matroid/Rank/ENat.lean,Mathlib/Data/DFinsupp/Order.lean,Mathlib/Data/EReal/Inv.lean,Mathlib/Data/Finsupp/Multiset.lean,Mathlib/Data/Finsupp/Order.lean,Mathlib/Data/Multiset/Filter.lean,Mathlib/Data/Nat/Choose/Basic.lean,Mathlib/Data/Real/Sign.lean,Mathlib/MeasureTheory/Measure/Lebesgue/Basic.lean,Mathlib/NumberTheory/LSeries/Nonvanishing.lean,Mathlib/NumberTheory/ZetaValues.lean,Mathlib/RingTheory/Algebraic/Basic.lean,Mathlib/RingTheory/AlgebraicIndependent/Basic.lean,Mathlib/SetTheory/Ordinal/FixedPoint.lean |
19 |
3 |
['artie2000', 'euprunin', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
15-55807 15 days ago |
15-55808 15 days ago |
67-395 67 days |
| 38018 |
matthewjasper author:matthewjasper |
feat(Algebra): expand Subalgebra.restrictScalars API |
Add an instance for the original algebra structure, the implied scalar tower instances, and the algebra equivalence with the original subalgebra. Use this to remove some `set_option backward.isDefEq.respectTransparency`.
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|
t-ring-theory
merge-conflict
|
53/14 |
Mathlib/Algebra/Algebra/Subalgebra/Tower.lean,Mathlib/RingTheory/AlgebraicIndependent/TranscendenceBasis.lean,Mathlib/RingTheory/Finiteness/Basic.lean,Mathlib/RingTheory/IntegralClosure/IsIntegralClosure/Basic.lean |
4 |
6 |
['eric-wieser', 'github-actions', 'leanprover-radar', 'mariainesdff', 'mathlib-merge-conflicts'] |
mariainesdff assignee:mariainesdff |
15-54481 15 days ago |
15-54481 15 days ago |
39-73389 39 days |
| 38882 |
yuanyi-350 author:yuanyi-350 |
refactor(MeasureTheory): golf `Mathlib/MeasureTheory/Function/AEMeasurableOrder` |
- replaces the manual `μ t = 0` to `ae` conversion with `measure_eq_zero_iff_ae_notMem`
- rewrites the two density arguments in `aemeasurable_of_exist_almost_disjoint_supersets` using `s_dense.exists_between` and `mem_iUnion₂`
Extracted from #38104
[](https://gitpod.io/from-referrer/) |
codex
LLM-generated
t-measure-probability
merge-conflict
|
7/18 |
Mathlib/MeasureTheory/Function/AEMeasurableOrder.lean |
1 |
3 |
['github-actions', 'mathlib-merge-conflicts', 'yuanyi-350'] |
kex-y assignee:kex-y |
15-54089 15 days ago |
15-54090 15 days ago |
20-13865 20 days |
| 16074 |
Rida-Hamadani author:Rida-Hamadani |
feat: combinatorial maps and planar graphs |
We define combinatorial maps, then we define planar graph using combinatorial maps.
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|
merge-conflict
t-combinatorics
|
243/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Planar.lean,Mathlib/Data/CombinatorialMap.lean |
3 |
30 |
['MrBrain295', 'Parcly-Taxel', 'Rida-Hamadani', 'github-actions', 'lambda-fairy', 'leanprover-community-bot-assistant'] |
kmill assignee:kmill |
13-20940 13 days ago |
338-17373 338 days ago |
72-50365 72 days |
| 37956 |
artie2000 author:artie2000 |
feat(Algebra/Polynomial): lemmas about polynomial degree |
* Add various small lemmas about polynomial degree
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t-algebra
merge-conflict
label:t-algebra$ |
28/5 |
Mathlib/Algebra/Polynomial/Degree/Defs.lean,Mathlib/Algebra/Polynomial/Degree/Operations.lean,Mathlib/Algebra/Polynomial/FieldDivision.lean,Mathlib/Algebra/Polynomial/Monic.lean,MathlibTest/hintAll.lean |
5 |
8 |
['artie2000', 'github-actions', 'mathlib-merge-conflicts', 'vihdzp'] |
kim-em assignee:kim-em |
13-17499 13 days ago |
13-17500 13 days ago |
43-39219 43 days |
| 38989 |
grunweg author:grunweg |
chore: remove `(d)simp only []` |
Either remove them (when they were unnecessary), or replace by something more low-level.
---
I'm happy to make them `simp only` instead, if that is preferred.
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merge-conflict |
10/17 |
Counterexamples/AharoniKorman.lean,Mathlib/Analysis/SpecialFunctions/Integrals/PosLogEqCircleAverage.lean,Mathlib/CategoryTheory/Limits/Fubini.lean,Mathlib/Computability/PartrecCode.lean,Mathlib/Computability/RE.lean,Mathlib/Computability/TuringMachine/Config.lean,Mathlib/Computability/TuringMachine/StackTuringMachine.lean,Mathlib/LinearAlgebra/Matrix/Basis.lean,Mathlib/MeasureTheory/Covering/Besicovitch.lean,Mathlib/MeasureTheory/Measure/Restrict.lean,Mathlib/ModelTheory/Encoding.lean |
11 |
5 |
['b-mehta', 'github-actions', 'grunweg', 'mathlib-merge-conflicts'] |
nobody |
12-30615 12 days ago |
12-30616 12 days ago |
20-56482 20 days |
| 39676 |
joneugster author:joneugster |
chore: move test files and recapitalise filennames |
Continuation of #39674. Renames all test files to use UpperCamelCase. Moves a few files to a folder according to the location of the tested file.
---
While fixing capitalisation on all filenames, this PR makes no effort to sort all test files into according folders. This will be happening in follow-ups.
- [x] depends on: #39681
- [x] depends on: #39682
- [ ] depends on: #39683
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file-removed
merge-conflict
|
22/22 |
MathlibTest/AesopCat.lean,MathlibTest/Algebra/Algebra/Rat.lean,MathlibTest/Algebra/Polynomial.lean,MathlibTest/Algebra/Quaternion.lean,MathlibTest/Data/DFinsupp/DFinsuppMultiLinear.lean,MathlibTest/Data/DFinsupp/Notation.lean,MathlibTest/Data/Fin/VecNotation.lean,MathlibTest/Data/FunLike.lean,MathlibTest/Data/Real.lean,MathlibTest/Data/ZMod.lean,MathlibTest/DeriveCountable.lean,MathlibTest/DeriveCountableModule.lean,MathlibTest/DeriveEncodable.lean,MathlibTest/ENatToNat.lean,MathlibTest/EvalElab.lean,MathlibTest/FailIfNoProgress.lean,MathlibTest/FastInstance.lean,MathlibTest/FinsetBuilder.lean,MathlibTest/FinsetRepr.lean,MathlibTest/FinsuppNotation.lean,MathlibTest/FormatTable.lean,MathlibTest/ImportAll.lean,MathlibTest/InstanceDiamonds.lean,MathlibTest/InstanceDiamonds/Analysis/Normed/Field/WithAbs.lean,MathlibTest/InstanceDiamonds/Data/Complex/Module.lean,MathlibTest/InstanceDiamonds/FieldTheory/IsAlgClosed/AlgebraicClosure.lean,MathlibTest/InstanceDiamonds/FieldTheory/SplittingField/Construction.lean,MathlibTest/InstanceDiamonds/Normed.lean,MathlibTest/JacobiSymbol.lean,MathlibTest/Lean/Tactic/Grind/AC.lean,MathlibTest/Lean/Tactic/Grind/CC.lean,MathlibTest/Lean/Tactic/Grind/Field.lean,MathlibTest/Lean/Tactic/Grind/FieldInstance.lean,MathlibTest/Lean/Tactic/Grind/Grobner.lean,MathlibTest/Lean/Tactic/Grind/Linarith.lean,MathlibTest/Lean/Tactic/Grind/Lint.lean,MathlibTest/Lean/Tactic/Grind/NatCastInstance.lean,MathlibTest/Lean/Tactic/Grind/OrderedRing.lean,MathlibTest/Lean/Tactic/Grind/PairwiseDisjoint.lean,MathlibTest/Lean/Tactic/Grind/Panic.lean,MathlibTest/Lean/Tactic/Grind/Ring.lean,MathlibTest/Lean/Tactic/Grind/Set.lean,MathlibTest/Lean/Tactic/Grind/Trig.lean,MathlibTest/Lean/Tactic/Rewrites.lean,MathlibTest/Linter/DeprecatedModule/DeprecatedModule.lean,MathlibTest/Linter/DeprecatedModule/DeprecatedModuleAllTest.lean,MathlibTest/Linter/DeprecatedModule/DeprecatedModuleMetaTest.lean,MathlibTest/Linter/DeprecatedModule/DeprecatedModuleNew.lean,MathlibTest/Linter/DeprecatedModule/DeprecatedModulePublicMetaTest.lean,MathlibTest/Linter/DeprecatedModule/DeprecatedModulePublicTest.lean,MathlibTest/Linter/DeprecatedModule/DeprecatedModuleTest.lean,MathlibTest/Linter/DeprecatedSyntaxLinter.lean,MathlibTest/Linter/DocPrime.lean,MathlibTest/Linter/DocString.lean,MathlibTest/Linter/EmptyLine.lean,MathlibTest/Linter/FlexibleLinter.lean,MathlibTest/Linter/ForbiddenModuleNames.lean,MathlibTest/Linter/HaveLetLinter.lean,MathlibTest/Linter/ImportHeavyFlexibleLinter.lean,MathlibTest/Linter/Lint.lean,MathlibTest/Linter/ModuleCasing.lean,MathlibTest/Linter/OldObtain.lean,MathlibTest/Linter/PrivateModuleLinter/HasOnlyPrivate.lean,MathlibTest/Linter/PrivateModuleLinter/HasPublic.lean,MathlibTest/Linter/PrivateModuleLinter/ImportOnly.lean,MathlibTest/Linter/PrivateModuleLinter/Initialize.lean,MathlibTest/Linter/PrivateModuleLinter/NonModule.lean,MathlibTest/Linter/PrivateModuleLinter/Notation3.lean,MathlibTest/Linter/PrivateModuleLinter/ReservedName1.lean,MathlibTest/Linter/PrivateModuleLinter/ReservedName2.lean,MathlibTest/Linter/Style/LintStyle.lean,MathlibTest/Linter/Style/LongFile.lean,MathlibTest/Linter/UnusedTactic/AesopUnusedTactic.lean,MathlibTest/Linter/UnusedTactic/UnusedTactic.lean,MathlibTest/Linter/ValidatePRTitle.lean,MathlibTest/Linter/VersoHeader.lean,MathlibTest/Linter/Whitespace.lean,MathlibTest/NormCast.lean,MathlibTest/RegisterTryTactic.lean,MathlibTest/RightActions.lean,MathlibTest/SetLike.lean,MathlibTest/SimpConfluence.lean,MathlibTest/SlimCheck.lean,MathlibTest/SlowInstances.lean,MathlibTest/SlowSimp.lean,MathlibTest/Tactic/ApplyCongr.lean,MathlibTest/Tactic/ApplyFun.lean,MathlibTest/Tactic/ApplyRules.lean,MathlibTest/Tactic/ApplyWith.lean,MathlibTest/Tactic/Bound/Attribute.lean,MathlibTest/Tactic/Bound/Bound.lean,MathlibTest/Tactic/ByContra.lean,MathlibTest/Tactic/CancelDenoms.lean,MathlibTest/Tactic/Cases.lean,MathlibTest/Tactic/CasesM.lean,MathlibTest/Tactic/Change.lean,MathlibTest/Tactic/Check.lean,MathlibTest/Tactic/Choose/Choose.lean,MathlibTest/Tactic/Choose/Reduction.lean,MathlibTest/Tactic/Clean.lean |
192 |
5 |
['github-actions', 'grunweg', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
11-18901 11 days ago |
11-18902 11 days ago |
1-38699 1 day |
| 35569 |
goliath-klein author:goliath-klein |
refactor(PiTensorProduct/{InjectiveNorm, ProjectiveNorm}): deprecate `injectiveSeminorm` |
This PR:
* Deprecates `PiTensorProduct.injectiveSeminorm` and supporting lemmas.
* Moves the theory of `liftEquiv` from InjectiveSeminorm.lean to ProjectiveSeminorm.lean.
No changes are introduced beyond adding deprecation notices, adapting docstrings, and moving material between files.
The PR leaves InjectiveSeminorm.lean almost empty. A new implementation of `injectiveSeminorm`, one which reflects the common mathematical definition, is to be done.
This is the third in a series of three PRs with the goal to [deprecate `PiTensorProuduct.injectiveSeminorm`](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/injectiveSeminorm/with/568798633).
---
- [ ] depends on: #35567
- [ ] depends on: #35568
Deprecations:
- injectiveSeminorm
- dualSeminorms_bounded
- injectiveSeminorm_apply
- norm_eval_le_injectiveSeminorm
- injectiveSeminorm_le_projectiveSeminorm
- injectiveSeminorm_tprod_le
Preliminary work toward a reimplementation is at #33969.
I've added Davood and myself to the "Authors" field, as we have now significantly refactored this module.
Co-authored-by: Davood H. T. Tehrani
[](https://gitpod.io/from-referrer/)
|
new-contributor
merge-conflict
|
222/233 |
Mathlib/Analysis/Normed/Module/PiTensorProduct/InjectiveSeminorm.lean,Mathlib/Analysis/Normed/Module/PiTensorProduct/ProjectiveSeminorm.lean |
2 |
7 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
9-30933 9 days ago |
9-30934 9 days ago |
59-23938 59 days |
| 38393 |
staroperator author:staroperator |
refactor(ModelTheory): add typeclasses for algebraic symbols |
`Language.ring` and `Language.presburger` share the same symbols `0`, `1` and `+` and have duplicated instances on `Term` and `realize` simp lemmas. This PR makes these symbols certain typeclasses (similar to [`Language.IsOrdered`](https://leanprover-community.github.io/mathlib4_docs/Mathlib/ModelTheory/Order.html#FirstOrder.Language.IsOrdered)) and removes the duplication. It also adds certain definability lemmas that `fun_prop` can use.
---
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|
t-logic
merge-conflict
|
332/201 |
Mathlib.lean,Mathlib/ModelTheory/Algebra/Classes.lean,Mathlib/ModelTheory/Algebra/Field/IsAlgClosed.lean,Mathlib/ModelTheory/Algebra/Ring/Basic.lean,Mathlib/ModelTheory/Algebra/Ring/FreeCommRing.lean,Mathlib/ModelTheory/Arithmetic/Presburger/Basic.lean,Mathlib/ModelTheory/Arithmetic/Presburger/Definability.lean |
7 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
fpvandoorn assignee:fpvandoorn |
9-27005 9 days ago |
9-27005 9 days ago |
36-80727 36 days |
| 39388 |
marcelolynch author:marcelolynch |
chore: remove @[expose] from def-free public sections |
Strip `@[expose]` from `public section` headers in 100 modules where no declaration needs its body visible downstream. A new sweep in the style of #38480
Found using the linter-in-progress: #39387
Relevant Zulip thread: https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Removing.20unnecessary.20.60.40.5Bexpose.5D.60/with/595180230 |
merge-conflict |
100/100 |
Mathlib/Algebra/Category/Ring/Small.lean,Mathlib/Algebra/Field/Basic.lean,Mathlib/Algebra/Field/MinimalAxioms.lean,Mathlib/Algebra/Field/Opposite.lean,Mathlib/Algebra/Field/Rat.lean,Mathlib/Algebra/Field/ULift.lean,Mathlib/Algebra/Field/ZMod.lean,Mathlib/Algebra/Group/Action/Option.lean,Mathlib/Algebra/Group/Action/Sigma.lean,Mathlib/Algebra/Group/Action/Sum.lean,Mathlib/Algebra/Group/Action/Units.lean,Mathlib/Algebra/Group/Subgroup/Actions.lean,Mathlib/Algebra/Group/Submonoid/MulAction.lean,Mathlib/Algebra/Module/Projective.lean,Mathlib/Algebra/Module/Submodule/Basic.lean,Mathlib/Algebra/NonAssoc/LieAdmissible/Defs.lean,Mathlib/Algebra/Notation/Prod.lean,Mathlib/Algebra/Order/Floor/Div.lean,Mathlib/Algebra/Order/Group/Action/End.lean,Mathlib/Algebra/Order/Group/End.lean,Mathlib/Algebra/Order/Group/PosPart.lean,Mathlib/Algebra/Order/Kleene.lean,Mathlib/Algebra/Order/Nonneg/Lattice.lean,Mathlib/Algebra/Order/Pi.lean,Mathlib/Algebra/Order/Ring/Unbundled/Rat.lean,Mathlib/Algebra/Ring/Commute.lean,Mathlib/AlgebraicTopology/ModelCategory/Over.lean,Mathlib/Analysis/InnerProductSpace/Coalgebra.lean,Mathlib/Analysis/Normed/Algebra/TrivSqZeroExt.lean,Mathlib/Analysis/Normed/Group/Constructions.lean,Mathlib/Analysis/Normed/Module/MStructure.lean,Mathlib/Analysis/Normed/Operator/Compact/FiniteDimension.lean,Mathlib/Analysis/ODE/DiscreteGronwall.lean,Mathlib/CategoryTheory/Localization/DerivabilityStructure/OfLocalizedEquivalences.lean,Mathlib/CategoryTheory/MarkovCategory/Positive.lean,Mathlib/CategoryTheory/Monoidal/Cartesian/Normal.lean,Mathlib/CategoryTheory/Monoidal/Functor/Types.lean,Mathlib/CategoryTheory/Monoidal/Types/Coyoneda.lean,Mathlib/CategoryTheory/Sites/CoversTop/Over.lean,Mathlib/Combinatorics/Additive/FreimanHom.lean,Mathlib/Computability/AkraBazzi/AkraBazzi.lean,Mathlib/Data/ENNReal/Action.lean,Mathlib/Data/ENat/Pow.lean,Mathlib/Data/Finsupp/Pointwise.lean,Mathlib/Data/FunLike/Basic.lean,Mathlib/Data/FunLike/Embedding.lean,Mathlib/Data/FunLike/Equiv.lean,Mathlib/Data/Int/Cast/Pi.lean,Mathlib/Data/List/Monad.lean,Mathlib/Data/NNRat/Lemmas.lean,Mathlib/Data/Nat/Lattice.lean,Mathlib/Data/Prod/Lex.lean,Mathlib/Data/Rat/Cast/Defs.lean,Mathlib/Data/Rat/Cast/OfScientific.lean,Mathlib/Data/Real/Archimedean.lean,Mathlib/Data/ZMod/IntUnitsPower.lean,Mathlib/GroupTheory/GroupAction/Embedding.lean,Mathlib/GroupTheory/IsPerfect.lean,Mathlib/GroupTheory/ResiduallyFinite.lean,Mathlib/LinearAlgebra/CliffordAlgebra/Star.lean,Mathlib/LinearAlgebra/Projectivization/Action.lean,Mathlib/LinearAlgebra/RootSystem/GeckConstruction/Semisimple.lean,Mathlib/MeasureTheory/Function/L2Space.lean,Mathlib/MeasureTheory/Integral/IntegralEqImproper.lean,Mathlib/MeasureTheory/Measure/Sub.lean,Mathlib/MeasureTheory/Measure/Typeclasses/ZeroOne.lean,Mathlib/NumberTheory/ModularForms/EisensteinSeries/E2/Transform.lean,Mathlib/NumberTheory/NumberField/ExistsRamified.lean,Mathlib/NumberTheory/Padics/PadicVal/Defs.lean,Mathlib/Order/ConditionallyCompleteLattice/Basic.lean,Mathlib/Order/Filter/FilterProduct.lean,Mathlib/Order/Heyting/Basic.lean,Mathlib/Order/Interval/Set/OrdConnected.lean,Mathlib/Order/Quotient.lean,Mathlib/Probability/Kernel/Deterministic.lean,Mathlib/RingTheory/Coalgebra/Convolution.lean,Mathlib/RingTheory/Flat/IsBaseChange.lean,Mathlib/RingTheory/HopfAlgebra/TensorProduct.lean,Mathlib/RingTheory/Ideal/GoingDown.lean,Mathlib/RingTheory/Ideal/GoingUp.lean,Mathlib/RingTheory/Ideal/Maximal.lean,Mathlib/RingTheory/Localization/Finiteness.lean,Mathlib/RingTheory/Noetherian/Defs.lean,Mathlib/RingTheory/QuasiFinite/Basic.lean,Mathlib/RingTheory/QuasiFinite/Polynomial.lean,Mathlib/RingTheory/QuasiFinite/Weakly.lean,Mathlib/RingTheory/Regular/ProjectiveDimension.lean,Mathlib/RingTheory/SimpleModule/Basic.lean,Mathlib/RingTheory/Smooth/Fiber.lean,Mathlib/RingTheory/TensorProduct/IsBaseChangeRightExact.lean,Mathlib/RingTheory/Unramified/LocalRing.lean,Mathlib/RingTheory/Valuation/Extension.lean,Mathlib/RingTheory/Valuation/IsTrivialOn.lean,Mathlib/SetTheory/Cardinal/Regular.lean,Mathlib/Tactic/Algebra/Lemmas.lean,Mathlib/Topology/Algebra/UniformMulAction.lean,Mathlib/Topology/CWComplex/Classical/Subcomplex.lean,Mathlib/Topology/EMetricSpace/Pi.lean,Mathlib/Topology/List.lean,Mathlib/Topology/MetricSpace/Pseudo/Pi.lean |
100 |
7 |
['eric-wieser', 'github-actions', 'grunweg', 'marcelolynch', 'mathlib-merge-conflicts', 'urkud'] |
nobody |
9-26605 9 days ago |
9-26606 9 days ago |
15-23632 15 days |
| 39489 |
Paul-Lez author:Paul-Lez |
fix: defeq abuse in HasFTaylorSeriesUpToOn.comp |
Removes a `set_option backward.isDefEq.respectTransparency false`. The fix isn't as nice as I would have hoped (I tried to make it smaller but to no avail).
---
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[](https://gitpod.io/from-referrer/)
|
t-analysis
merge-conflict
|
5/2 |
Mathlib/Analysis/Calculus/ContDiff/FaaDiBruno.lean |
1 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
j-loreaux assignee:j-loreaux |
9-26471 9 days ago |
9-26471 9 days ago |
12-82083 12 days |
| 39773 |
kbuzzard author:kbuzzard |
perf: add some fast_instance% |
This PR adds some `fast_instance%`s, which tidies up some terms.
See [#mathlib4 > fast_instance% plans](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/fast_instance.25.20plans/with/597402311) for explicit descriptions of what every change in this PR actually does to the terms in question.
---
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|
t-algebra
merge-conflict
label:t-algebra$ |
6/4 |
Mathlib/Algebra/Group/Pi/Basic.lean,Mathlib/Algebra/Group/TypeTags/Basic.lean |
2 |
4 |
['github-actions', 'kbuzzard', 'leanprover-radar', 'mathlib-merge-conflicts'] |
nobody |
9-22943 9 days ago |
9-22944 9 days ago |
5-46079 5 days |
| 39395 |
marcelolynch author:marcelolynch |
chore(Tactic/Linter): reword PrivateLinter suggestion |
This matches the granular-by-default philosophy of the new module system and produces files without superfluous `@[expose] public`, which we also want to flag as undesirable: we steer to making every @[expose] is per-decl and intentional, rather than section-wide
Relevant Zulip thread: https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Removing.20unnecessary.20.60.40.5Bexpose.5D.60/with/595180230 |
t-linter
merge-conflict
|
11/8 |
Mathlib/Tactic/Linter/PrivateModule.lean,MathlibTest/PrivateModuleLinter/hasOnlyPrivate.lean,MathlibTest/PrivateModuleLinter/notation3.lean,MathlibTest/PrivateModuleLinter/reservedName2.lean |
4 |
4 |
['JovanGerb', 'github-actions', 'grunweg', 'marcelolynch', 'mathlib-merge-conflicts'] |
JovanGerb assignee:JovanGerb |
8-62832 8 days ago |
13-17485 13 days ago |
11-19868 11 days |
| 26413 |
michaellee94 author:michaellee94 |
feat: existence of maximal solutions for ODEs 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
- [x] depends on: #29186
- [ ] depends on: #35043
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-analysis
merge-conflict
|
1300/431 |
Mathlib.lean,Mathlib/Analysis/ODE/Basic.lean,Mathlib/Analysis/ODE/ExistUnique.lean,Mathlib/Analysis/ODE/Gronwall.lean,Mathlib/Analysis/ODE/MaximalSolution.lean,Mathlib/Analysis/ODE/PicardLindelof.lean,Mathlib/Analysis/ODE/Transform.lean,Mathlib/Geometry/Manifold/IntegralCurve/Basic.lean,Mathlib/Geometry/Manifold/IntegralCurve/ExistUnique.lean,Mathlib/Geometry/Manifold/IntegralCurve/Transform.lean,Mathlib/Geometry/Manifold/IntegralCurve/UniformTime.lean,docs/1000.yaml,docs/undergrad.yaml |
13 |
95 |
['botbaki-review', 'github-actions', 'grunweg', 'leanprover-community-bot-assistant', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'michaellee94', 'winstonyin'] |
nobody |
8-36127 8 days ago |
342-66248 342 days ago |
0-5139 1 hour |
| 26394 |
winstonyin author:winstonyin |
feat: existence of local flows on manifolds |
This PR continues the work from #21777.
Original PR: https://github.com/leanprover-community/mathlib4/pull/21777
Transfer the existence theorem of local flows on vector spaces to manifolds. The precise statement is:
> If a vector field `v` on a manifold `M` is continuously differentiable at an interior point `x₀`, then for a given `t₀` there exists a neighbourhood `u` of `x₀`, a positive `ε`, and `γ : M → ℝ → M` such that `γ x` is an integral curve of `v` on `(t₀ - ε, t₀ + ε)` for all `x ∈ u`.
This is powerful because all curves `γ x` (each with initial condition `x ∈ u`) share the same existence time interval `(t₀ - ε, t₀ + ε)`, rather than each curve having its own `ε`. This will allow us to show that $C^1$ vector fields on compact manifolds always have global integral curves / global flows.
Any suggestions to shorten the proof or split out useful lemmas are welcome!
- [x] depends on: #26392
---
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[](https://gitpod.io/from-referrer/)
|
t-differential-geometry
merge-conflict
|
138/61 |
Mathlib/Analysis/ODE/PicardLindelof.lean,Mathlib/Geometry/Manifold/IntegralCurve/ExistUnique.lean,Mathlib/Order/Filter/Prod.lean |
3 |
13 |
['github-actions', 'grunweg', 'leanprover-community-bot-assistant', 'mathlib-merge-conflicts', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot', 'ocfnash', 'winstonyin'] |
ocfnash assignee:ocfnash |
8-35329 8 days ago |
8-35330 8 days ago |
23-5862 23 days |
| 39205 |
ooovi author:ooovi |
feat(Geometry/Convex): Bundled convex set |
Add a bundled version of `IsConvexSet`.
---
Once the dependencies are merged, this PR only changes `Mathlib.Geometry.Convex.Set` and `Mathlib.Geometry.Convex.Hull`, at the bottom of the file, adding `ConvexSet` and everything in the corresponding namespace.
- [ ] depends on: #38934
- [ ] depends on: #38905
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|
large-import
merge-conflict
|
989/172 |
Mathlib.lean,Mathlib/Analysis/Convex/MetricSpace.lean,Mathlib/Data/Finsupp/Basic.lean,Mathlib/Geometry/Convex/ConvexSpace/AffineSpace.lean,Mathlib/Geometry/Convex/ConvexSpace/Defs.lean,Mathlib/Geometry/Convex/Hull.lean,Mathlib/Geometry/Convex/README.md,Mathlib/Geometry/Convex/Set.lean |
8 |
6 |
['github-actions', 'martinwintermath', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
3-58863 3 days ago |
unknown |
0-0 0 seconds |
| 38938 |
lua-vr author:lua-vr |
chore(ConditionallyCompleteLattice/Indexed): dualize |
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[](https://gitpod.io/from-referrer/)
|
t-order
merge-conflict
|
94/260 |
Mathlib/Order/ConditionallyCompleteLattice/Basic.lean,Mathlib/Order/ConditionallyCompleteLattice/Defs.lean,Mathlib/Order/ConditionallyCompleteLattice/Indexed.lean |
3 |
15 |
['JovanGerb', 'github-actions', 'lua-vr', 'mathlib-bors', 'mathlib-merge-conflicts'] |
nobody |
3-26375 3 days ago |
3-26375 3 days ago |
4-48840 4 days |
| 39724 |
vihdzp author:vihdzp |
feat: finite sets are closed under directed suprema |
As are chains of length ≤ ω.
---
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We don't prove `Set.Finite.dirSupClosed` via `DirectedOn.finite_le`, in order to save a few imports.
[](https://gitpod.io/from-referrer/)
|
file-removed
t-order
merge-conflict
|
239/31 |
Mathlib.lean,Mathlib/Data/Fintype/Order.lean,Mathlib/Order/Cofinal.lean,Mathlib/Order/DirSupClosed/Basic.lean,Mathlib/Order/DirSupClosed/Finite.lean,Mathlib/Order/IsNormal.lean,Mathlib/SetTheory/Cardinal/Cofinality/Club.lean,Mathlib/SetTheory/Cardinal/Cofinality/Ordinal.lean,Mathlib/Topology/Order/ScottTopology.lean |
9 |
3 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
3-22806 3 days ago |
3-22807 3 days ago |
11-44785 11 days |
| 37901 |
Raph-DG author:Raph-DG |
feat(AlgebraicGeometry): Define algebraic cycles |
In this PR we define the notion of algebraic cycles on a scheme, and define the pushforward of an algebraic cycle by a quasicompact morhphism. This was originally defined in #26304, but after some refactoring it was decided that it would be best to split this definition into a separate PR.
- [ ] depends on: #26304
---
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[](https://gitpod.io/from-referrer/)
|
t-algebraic-geometry
merge-conflict
|
250/0 |
Mathlib.lean,Mathlib/AlgebraicGeometry/AlgebraicCycle.lean,Mathlib/Topology/LocallyFinsupp/Pushforward.lean |
3 |
3 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
2-39202 2 days ago |
2-39202 2 days ago |
0-35362 9 hours |
| 37501 |
xgenereux author:xgenereux |
feat(DedekindDomain/AdicValuation): `intValuation` on uniformizers is `exp (-1)` |
This PR adds the lemma `intValuation_uniformizer` which is an application of #37497.
Note that I've had to reorganize the files a little bit:
1. I wanted to import `Valuation.Discrete.Basic` in `AdicValuation` but this was not possible since there was a dependency in the other direction (`Valuation.Discrete.Basic` depended on `AdicValuation`). I don't think this makes sense - we want to have access to basic definitions on general valuation in an application file like `AdicValuation`.
~~The reorganization consist of moving the `IsDiscreteValuationRing` of `Valuation.Discrete.Basic` to `AdicValuation`.~~
The reorganization consist of moving the `IsDiscreteValuationRing` section to a new file.
2. I moved some lemmas out of `Mathlib.RingTheory.Valuation.Discrete.RankOne` to the parent file `Mathlib.RingTheory.Valuation.Discrete.Basic.`. These lemmas do not need the richer imports from `RankOne` and are needed in my application.
AI disclaimer : I used Claude to give me some feedback on the PR.
Co-authored-by: María Inés de Frutos Fernández <[mariaines.dff@gmail.com](mailto:mariaines.dff@gmail.com)>
---
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[](https://gitpod.io/from-referrer/)
|
t-ring-theory
merge-conflict
|
218/175 |
Mathlib.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Reduction.lean,Mathlib/NumberTheory/NumberField/Completion/FinitePlace.lean,Mathlib/NumberTheory/RamificationInertia/Valuation.lean,Mathlib/RingTheory/DedekindDomain/AdicValuation.lean,Mathlib/RingTheory/OrderOfVanishing/Noetherian.lean,Mathlib/RingTheory/Valuation/Discrete/Basic.lean,Mathlib/RingTheory/Valuation/Discrete/IsDiscreteValuationRing.lean,Mathlib/RingTheory/Valuation/Discrete/RankOne.lean |
9 |
8 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'riccardobrasca'] |
riccardobrasca assignee:riccardobrasca |
1-83290 1 day ago |
1-83291 1 day ago |
54-40761 54 days |
| 38596 |
JJYYY-JJY author:JJYYY-JJY |
Add basic row-equivalence and echelon-form API for matrices |
This PR adds the first foundational slice of `Mathlib.LinearAlgebra.Matrix.Echelon`, a theorem-oriented API for elementary row operations, row-equivalence, and echelon-form predicates for matrices.
The main additions are:
* elementary row-scaling matrices and their `GL` versions;
* `Matrix.RowEquivalent` for the left action of `GL m R` on rectangular matrices;
* row-zero, pivot, echelon, and reduced-echelon predicates;
* semantic representative predicates `Matrix.IsEchelonFormOf` and `Matrix.IsReducedEchelonFormOf`.
This intentionally stops before row-space characterizations, existence and uniqueness of reduced echelon representatives, and the noncomputable canonical representative `Matrix.rref`; those are planned for later PRs.
Co-authored-by: Joseph Qian <jqian507@gmail.com>
Co-authored-by: Veer Shukla <shukvee@uw.edu>
Co-authored-by: Dhruv Bhatia <dhruvbhatia00@gmail.com>
Co-authored-by: Zheng Wu <1036819072@qq.com>
---
This update trims the original full row-reduction API in response to reviewer feedback that the PR was too large. It keeps only the foundation needed by later row-reduction and `rref` PRs. |
t-algebra
new-contributor
merge-conflict
label:t-algebra$ |
312/6 |
Mathlib.lean,Mathlib/LinearAlgebra/Matrix/Echelon.lean,Mathlib/LinearAlgebra/Matrix/Transvection.lean |
3 |
13 |
['JJYYY-JJY', 'SnirBroshi', 'copilot-pull-request-reviewer', 'dagurtomas', 'github-actions', 'mathlib-merge-conflicts', 'themathqueen', 'wwylele'] |
themathqueen assignee:themathqueen |
1-66016 1 day ago |
2-36872 2 days ago |
30-57857 30 days |
| 38780 |
yuanyi-350 author:yuanyi-350 |
chore(Catalogue PR): kill some `erw`s by adding rfl lemmas |
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[](https://gitpod.io/from-referrer/)
|
merge-conflict |
38/18 |
Mathlib/AlgebraicGeometry/EllipticCurve/Jacobian/Point.lean,Mathlib/AlgebraicGeometry/IdealSheaf/Basic.lean,Mathlib/AlgebraicGeometry/OpenImmersion.lean,Mathlib/AlgebraicGeometry/ProjectiveSpectrum/Basic.lean,Mathlib/LinearAlgebra/BilinearForm/Properties.lean,Mathlib/NumberTheory/Padics/PadicNumbers.lean,Mathlib/Topology/UniformSpace/Matrix.lean |
7 |
3 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
1-63268 1 day ago |
1-63268 1 day ago |
4-9996 4 days |
| 38227 |
vihdzp author:vihdzp |
chore(Algebra/Order/Monoid/Unbundled/Basic): golfing + formatting |
We make use of `variable`, fix some weird spacing, and golf many proofs.
The only breaking change is that `mul_lt_iff_lt_one_left'`/`add_lt_iff_neg_left` now takes an explicit argument, matching the theorems surrounding it.
---
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Not too fond of the `calc` tactic.
[](https://gitpod.io/from-referrer/)
|
t-algebra
t-order
merge-conflict
label:t-algebra$ |
233/501 |
Mathlib/Algebra/Order/Archimedean/Real/Basic.lean,Mathlib/Algebra/Order/Monoid/Unbundled/Basic.lean |
2 |
4 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
0-60705 16 hours ago |
0-60706 16 hours ago |
21-54662 21 days |
| 38344 |
robo7179 author:robo7179 |
feat(SimpleGraph/Coloring/VertexColoring): Matching is 2 colorable |
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[](https://gitpod.io/from-referrer/)
|
t-combinatorics
new-contributor
merge-conflict
|
51/0 |
Mathlib/Combinatorics/SimpleGraph/Coloring/VertexColoring.lean |
1 |
6 |
['SnirBroshi', 'github-actions', 'mathlib-merge-conflicts', 'vlad902'] |
b-mehta assignee:b-mehta |
0-60704 16 hours ago |
0-60705 16 hours ago |
46-71620 46 days |
| 39505 |
dannyhe652 author:dannyhe652 |
feat(SimpleGraph): add Vizing's theorem for edge coloring |
Hi! I'm a high school student interested in formulization of mathematics in Lean. Recently, I have worked on a project to formulize Vizing Theorem with Daniel Raggi from Cambridge University with AI assistance. In particular, we first drafted an outline for the proof, and built the proof using Claude Opus 4.5 and 4.6. The proof is optimized using Aristotle and finally reviewed by ourselves. We rewrote some parts of the code and some comments. The code now builds cleanly and we wish this code to be reviewed by Lean Community. I am aware that there are previous attempts, some being successful, on formulizing Vizing Theorem, including this one by Arohee https://github.com/aroheebhoja/vizing. However, I believe that no PR have been made. Our proof is not based on his proof, but it could be helpful for the community to review that project as well. I sincerely thank everyone who has time to verify and review our code. A summary of the project is as follows. Please contact me if there are any questions or problems.
## Summary
This PR completes the proof of **Vizing's theorem** for edge coloring in simple graphs, proving that the chromatic index of any graph is either Δ (the maximum degree) or Δ + 1.
## Changes
### New files
- **`Mathlib/Combinatorics/SimpleGraph/Coloring/EdgeColoring.lean`** — Core definitions
- `edgeColoring`: Type for line graph colorings
- `edgeColorable`: Graph is edge-colorable with n colors
- `chromaticIndex`: Chromatic index as ℕ
- **`Mathlib/Combinatorics/SimpleGraph/Coloring/KempeChain.lean`** — Kempe Chain
- Coloring observables: `incidentEdges`, `incidentColors`, `missingColors`
- Kempe subgraph structure with bounded degree
- `swapKempe`: Recolor edges in a connected component via color-swapping
- **`Mathlib/Combinatorics/SimpleGraph/Coloring/VizingFan.lean`** — Vizing Fan Rotation
- `IsFan`: Vizing fan structure with special color properties
- Fan maximality and dichotomy on terminal vertices
- `rotate_termA`: Extend coloring when a free color exists at both endpoints
- `vizingAdjacencyLemma`: Main adjacency lemma for both cases
- **`Mathlib/Combinatorics/SimpleGraph/Coloring/VizingTheorem.lean`** — Main theorems
- `edge_eq_of_color_eq`: Proper edge colorings assign different colors to distinct edges sharing a vertex
- `maxDegree_le_chromaticIndex`: χ'(G) ≥ Δ(G)
- `chromaticIndex_bot`: Empty graph has chromatic index 0
- `vizingUpperBound_aux`: Inductive proof of upper bound on number of edge
- `vizingTheorem`: χ'(G) ∈ {Δ(G), Δ(G) + 1}
### Modified files
- `Mathlib.lean` — Added imports for the four new coloring modules
## Technical Approach
**Lower bound** (χ'(G) ≥ Δ):
- Edges incident to a max-degree vertex form a clique in the line graph
- Clique number lower-bounds chromatic number
**Upper bound** (χ'(G) ≤ Δ + 1):
- Induction on the number of edges
- Base case: empty graph colored with 0 colors
- Inductive step:
- If a free color exists at both endpoints of an edge, then extend directly
- Otherwise:
- Build a maximal fan from one endpoint
- Apply dichotomy: either extend via Term-A (free color at both endpoints) or Term-B (Kempe swap)
- Term-B uses a three-vertex connectivity argument to derive a contradiction, forcing the fan to extend
## Key Lemmas
- `incidentEdges`, `incidentColors`, `missingColors`: Coloring observables at vertices
- `kempeSubgraph`: Restricted subgraph of edges with two specific colors
- `swapKempe`: Recolor via Kempe chain swapping
- `IsFan.singleton`: Trivial fan always valid
- `IsFan.length_le_card`: Fan length is bounded by vertex count
- `IsFan.dichotomy`: Maximal fan satisfies Term-A or Term-B
- `IsFan.rotate_termA`: Term-A case extends the coloring inductively
- `vizingAdjacencyLemma`: Handles both cases for extending one edge
- `vizingUpperBound_aux`: Framework for full inductive proof
- `edge_eq_of_color_eq`: Distinctness of edges with same color
## Testing
All four modules compile with no `sorry` nor errors or warnings.
## References
* V. G. Vizing, *On an estimate of the chromatic class of a p-graph*,
Diskret. Analiz. 3 (1964), 25–30.
## Co-authors
Co-authored-by: Daniel Raggi <dr495@cam.ac.uk>
Co-authored-by: Aristotle (Harmonic) <aristotle-harmonic@harmonic.fun>
Co-authored-by: Claude Opus 4.5 & 4.6 <noreply@anthropic.com>
---
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t-combinatorics
new-contributor
LLM-generated
merge-conflict
|
1915/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Coloring/EdgeColoring.lean,Mathlib/Combinatorics/SimpleGraph/Coloring/KempeChain.lean,Mathlib/Combinatorics/SimpleGraph/Coloring/VizingFan.lean,Mathlib/Combinatorics/SimpleGraph/Coloring/VizingTheorem.lean |
5 |
4 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
0-57791 16 hours ago |
0-57792 15 hours ago |
20-62209 20 days |
| 39637 |
mcdoll author:mcdoll |
feat(Topology/Algebra): use `Is*Apply` for `ContinuousLinearMap` |
This is the first in many PRs that use the new `Is*Apply` classes instead of structure specific `foo_apply` lemmas.
The main bulk of the PR is in Mathlib/Topology/Algebra/Module/ContinuousLinearMap/Basic.lean, everything else is just fixing errors.
For each `foo` in `zero`, `one`, `add`, `sub`, `neg`, smul` we do the following:
- add an instance `IsFooApply`
- rename `coe_foo` to `toLinearMap_foo`
- depreprecate `coe_foo`, `coe_foo'`, and `foo_apply`
We are rather conservative when it comes to the instances, in future PRs this will be used more.
For consistency, the same renaming has been applied to the `comp` variants. This resulted in a test being changed.
---
Note to maintainers: please don't put multiple PRs regarding `Is*Apply` on the queue, they will most likely create merge conflicts.
About the test: I don't understand what the test is really for. all of the changed proofs are still true by `rfl` and `norm_cast`.
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t-topology
merge-conflict
|
386/405 |
Archive/Sensitivity.lean,Mathlib/Algebra/Category/ModuleCat/Topology/Basic.lean,Mathlib/Algebra/Category/ModuleCat/Topology/Homology.lean,Mathlib/Analysis/Analytic/Binomial.lean,Mathlib/Analysis/Analytic/IteratedFDeriv.lean,Mathlib/Analysis/CStarAlgebra/CStarMatrix.lean,Mathlib/Analysis/CStarAlgebra/Multiplier.lean,Mathlib/Analysis/CStarAlgebra/Unitization.lean,Mathlib/Analysis/Calculus/AbsolutelyMonotone.lean,Mathlib/Analysis/Calculus/ContDiff/Basic.lean,Mathlib/Analysis/Calculus/ContDiff/Bounds.lean,Mathlib/Analysis/Calculus/ContDiff/FaaDiBruno.lean,Mathlib/Analysis/Calculus/ContDiff/Operations.lean,Mathlib/Analysis/Calculus/Darboux.lean,Mathlib/Analysis/Calculus/Deriv/Add.lean,Mathlib/Analysis/Calculus/Deriv/Basic.lean,Mathlib/Analysis/Calculus/Deriv/CompMul.lean,Mathlib/Analysis/Calculus/Deriv/Mul.lean,Mathlib/Analysis/Calculus/FDeriv/Add.lean,Mathlib/Analysis/Calculus/FDeriv/Analytic.lean,Mathlib/Analysis/Calculus/FDeriv/Comp.lean,Mathlib/Analysis/Calculus/FDeriv/Norm.lean,Mathlib/Analysis/Calculus/FDeriv/Symmetric.lean,Mathlib/Analysis/Calculus/FormalMultilinearSeries.lean,Mathlib/Analysis/Calculus/Implicit.lean,Mathlib/Analysis/Calculus/ImplicitFunction/ProdDomain.lean,Mathlib/Analysis/Calculus/UniformLimitsDeriv.lean,Mathlib/Analysis/Calculus/VectorField.lean,Mathlib/Analysis/Complex/CauchyIntegral.lean,Mathlib/Analysis/Complex/Conformal.lean,Mathlib/Analysis/Complex/Harmonic/Analytic.lean,Mathlib/Analysis/Convex/Birkhoff.lean,Mathlib/Analysis/Convex/DoublyStochasticMatrix.lean,Mathlib/Analysis/Convex/Exposed.lean,Mathlib/Analysis/Convolution.lean,Mathlib/Analysis/Distribution/ContDiffMapSupportedIn.lean,Mathlib/Analysis/Distribution/FourierMultiplier.lean,Mathlib/Analysis/Distribution/SchwartzSpace/Deriv.lean,Mathlib/Analysis/Fourier/FourierTransform.lean,Mathlib/Analysis/Fourier/FourierTransformDeriv.lean,Mathlib/Analysis/InnerProductSpace/Adjoint.lean,Mathlib/Analysis/InnerProductSpace/ConformalLinearMap.lean,Mathlib/Analysis/InnerProductSpace/Dual.lean,Mathlib/Analysis/InnerProductSpace/LinearMap.lean,Mathlib/Analysis/InnerProductSpace/PiL2.lean,Mathlib/Analysis/InnerProductSpace/Positive.lean,Mathlib/Analysis/InnerProductSpace/Projection/Basic.lean,Mathlib/Analysis/InnerProductSpace/Projection/FiniteDimensional.lean,Mathlib/Analysis/InnerProductSpace/Rayleigh.lean,Mathlib/Analysis/InnerProductSpace/Reproducing.lean,Mathlib/Analysis/InnerProductSpace/StarOrder.lean,Mathlib/Analysis/InnerProductSpace/Trace.lean,Mathlib/Analysis/LocallyConvex/Separation.lean,Mathlib/Analysis/Normed/Group/SeparationQuotient.lean,Mathlib/Analysis/Normed/Module/Bases.lean,Mathlib/Analysis/Normed/Module/ContinuousInverse.lean,Mathlib/Analysis/Normed/Module/Multilinear/Basic.lean,Mathlib/Analysis/Normed/Operator/Bilinear.lean,Mathlib/Analysis/Normed/Operator/Compact/Basic.lean,Mathlib/Analysis/Normed/Operator/ContinuousAlgEquiv.lean,Mathlib/Analysis/Normed/Unbundled/FiniteExtension.lean,Mathlib/Analysis/SpecialFunctions/Exponential.lean,Mathlib/Analysis/SpecialFunctions/Pow/Deriv.lean,Mathlib/Geometry/Euclidean/Volume/Measure.lean,Mathlib/Geometry/Manifold/Instances/Icc.lean,Mathlib/Geometry/Manifold/Instances/Sphere.lean,Mathlib/Geometry/Manifold/IntegralCurve/Basic.lean,Mathlib/Geometry/Manifold/IntegralCurve/Transform.lean,Mathlib/Geometry/Manifold/Riemannian/PathELength.lean,Mathlib/Geometry/Manifold/VectorField/LieBracket.lean,Mathlib/Geometry/Manifold/WhitneyEmbedding.lean,Mathlib/LinearAlgebra/Eigenspace/ContinuousLinearMap.lean,Mathlib/MeasureTheory/Function/Jacobian.lean,Mathlib/MeasureTheory/Function/JacobianOneDim.lean,Mathlib/MeasureTheory/Group/Prod.lean,Mathlib/MeasureTheory/Integral/Bochner/L1.lean,Mathlib/MeasureTheory/Integral/FinMeasAdditive.lean,Mathlib/MeasureTheory/Integral/IntervalIntegral/Basic.lean,Mathlib/MeasureTheory/Integral/Lebesgue/Basic.lean,Mathlib/MeasureTheory/Measure/CharacteristicFunction/Basic.lean,Mathlib/MeasureTheory/Measure/Haar/DistribChar.lean,Mathlib/MeasureTheory/Measure/Haar/MulEquivHaarChar.lean,Mathlib/MeasureTheory/Measure/Typeclasses/Finite.lean,Mathlib/MeasureTheory/VectorMeasure/Decomposition/Hahn.lean,Mathlib/MeasureTheory/VectorMeasure/Decomposition/Jordan.lean,Mathlib/NumberTheory/Modular.lean,Mathlib/NumberTheory/ModularForms/CongruenceSubgroups.lean,Mathlib/NumberTheory/ModularForms/JacobiTheta/TwoVariable.lean,Mathlib/NumberTheory/NumberField/CanonicalEmbedding/Basic.lean,Mathlib/NumberTheory/NumberField/CanonicalEmbedding/NormLeOne.lean,Mathlib/NumberTheory/Padics/PadicNumbers.lean,Mathlib/NumberTheory/SiegelsLemma.lean,Mathlib/Probability/Distributions/Gaussian/Basic.lean,Mathlib/Probability/Distributions/Gaussian/Fernique.lean,Mathlib/Probability/Distributions/Gaussian/HasGaussianLaw/Independence.lean,Mathlib/Probability/Distributions/Gaussian/IsGaussianProcess/Independence.lean,Mathlib/Probability/Distributions/Uniform.lean,Mathlib/Probability/Moments/Basic.lean,Mathlib/Probability/Moments/Variance.lean,Mathlib/Probability/StrongLaw.lean |
109 |
9 |
['github-actions', 'leanprover-radar', 'mathlib-merge-conflicts', 'mcdoll'] |
j-loreaux assignee:j-loreaux |
0-57667 16 hours ago |
0-57668 15 hours ago |
13-72058 13 days |
| 40292 |
felixpernegger author:felixpernegger |
chore: replace `by calc` by `calc` whenever possible |
Avoids unnecessarily going into tactic mode, similar to #40223.
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merge-conflict |
214/214 |
Archive/Imo/Imo1981Q3.lean,Archive/Imo/Imo1982Q1.lean,Archive/Imo/Imo1982Q3.lean,Archive/Imo/Imo2005Q3.lean,Archive/Imo/Imo2024Q3.lean,Archive/Imo/Imo2025Q3.lean,Mathlib/Algebra/BigOperators/Group/Finset/Basic.lean,Mathlib/Algebra/BigOperators/Group/Finset/Indicator.lean,Mathlib/Algebra/Group/Basic.lean,Mathlib/Algebra/Module/ZLattice/Basic.lean,Mathlib/Algebra/MvPolynomial/SchwartzZippel.lean,Mathlib/Algebra/Order/Floor/Ring.lean,Mathlib/Algebra/Order/Floor/Semifield.lean,Mathlib/Algebra/Order/Ring/Unbundled/Basic.lean,Mathlib/Algebra/Order/Sub/Defs.lean,Mathlib/Algebra/Polynomial/Coeff.lean,Mathlib/Algebra/Ring/Invertible.lean,Mathlib/Analysis/Analytic/Constructions.lean,Mathlib/Analysis/CStarAlgebra/Module/Defs.lean,Mathlib/Analysis/Calculus/BumpFunction/Normed.lean,Mathlib/Analysis/Calculus/ContDiff/Bounds.lean,Mathlib/Analysis/Complex/AbelLimit.lean,Mathlib/Analysis/Complex/Basic.lean,Mathlib/Analysis/Complex/ValueDistribution/FirstMainTheorem.lean,Mathlib/Analysis/Complex/ValueDistribution/Proximity/Basic.lean,Mathlib/Analysis/Convex/Caratheodory.lean,Mathlib/Analysis/Convex/Continuous.lean,Mathlib/Analysis/Convex/Visible.lean,Mathlib/Analysis/Hofer.lean,Mathlib/Analysis/InnerProductSpace/Defs.lean,Mathlib/Analysis/InnerProductSpace/PiL2.lean,Mathlib/Analysis/InnerProductSpace/Projection/Basic.lean,Mathlib/Analysis/Matrix/Normed.lean,Mathlib/Analysis/Meromorphic/Divisor.lean,Mathlib/Analysis/Normed/Field/Approximation.lean,Mathlib/Analysis/ODE/DiscreteGronwall.lean,Mathlib/Analysis/SpecialFunctions/BinaryEntropy.lean,Mathlib/Analysis/SpecialFunctions/Integrals/LogTrigonometric.lean,Mathlib/Analysis/SpecialFunctions/Integrals/PosLogEqCircleAverage.lean,Mathlib/Analysis/SpecialFunctions/JapaneseBracket.lean,Mathlib/Analysis/SpecialFunctions/Log/Base.lean,Mathlib/Analysis/SpecialFunctions/Log/Deriv.lean,Mathlib/Analysis/SpecialFunctions/Pow/Deriv.lean,Mathlib/Analysis/SpecialFunctions/Stirling.lean,Mathlib/CategoryTheory/Bicategory/Adjunction/Basic.lean,Mathlib/CategoryTheory/Bicategory/Adjunction/Mate.lean,Mathlib/CategoryTheory/Bicategory/NaturalTransformation/Lax.lean,Mathlib/CategoryTheory/Bicategory/NaturalTransformation/Oplax.lean,Mathlib/CategoryTheory/Equivalence.lean,Mathlib/CategoryTheory/Limits/Types/Products.lean,Mathlib/CategoryTheory/Localization/Composition.lean,Mathlib/CategoryTheory/MarkovCategory/Positive.lean,Mathlib/CategoryTheory/Monoidal/DayConvolution.lean,Mathlib/CategoryTheory/Monoidal/Rigid/Basic.lean,Mathlib/Combinatorics/Additive/AP/Three/Behrend.lean,Mathlib/Combinatorics/Additive/Energy.lean,Mathlib/Combinatorics/Additive/ErdosGinzburgZiv.lean,Mathlib/Combinatorics/Additive/SubsetSum.lean,Mathlib/Combinatorics/Additive/VerySmallDoubling.lean,Mathlib/Combinatorics/SetFamily/LYM.lean,Mathlib/Combinatorics/SimpleGraph/Regularity/Uniform.lean,Mathlib/Combinatorics/SimpleGraph/Triangle/Removal.lean,Mathlib/Computability/AkraBazzi/AkraBazzi.lean,Mathlib/Computability/AkraBazzi/GrowsPolynomially.lean,Mathlib/Computability/AkraBazzi/SumTransform.lean,Mathlib/Data/Fintype/BigOperators.lean,Mathlib/Data/List/PeriodicityLemma.lean,Mathlib/Data/Nat/Choose/Vandermonde.lean,Mathlib/Data/Nat/Factorial/Basic.lean,Mathlib/Data/Rat/Floor.lean,Mathlib/FieldTheory/Finite/Basic.lean,Mathlib/FieldTheory/Minpoly/IsConjRoot.lean,Mathlib/Geometry/Manifold/Instances/Real.lean,Mathlib/Geometry/Manifold/VectorBundle/CovariantDerivative/Basic.lean,Mathlib/Geometry/Manifold/VectorBundle/Tensoriality.lean,Mathlib/GroupTheory/SpecificGroups/Quaternion.lean,Mathlib/InformationTheory/KullbackLeibler/Basic.lean,Mathlib/LinearAlgebra/AffineSpace/Matrix.lean,Mathlib/LinearAlgebra/Eigenspace/Basic.lean,Mathlib/LinearAlgebra/Matrix/Determinant/Basic.lean,Mathlib/LinearAlgebra/Matrix/Invertible.lean,Mathlib/LinearAlgebra/RootSystem/RootPositive.lean,Mathlib/MeasureTheory/Constructions/HaarToSphere.lean,Mathlib/MeasureTheory/Covering/Vitali.lean,Mathlib/MeasureTheory/Function/ConditionalExpectation/Basic.lean,Mathlib/MeasureTheory/Function/LpSeminorm/CompareExp.lean,Mathlib/MeasureTheory/Function/LpSeminorm/Count.lean,Mathlib/MeasureTheory/Integral/Bochner/ContinuousLinearMap.lean,Mathlib/MeasureTheory/Integral/BoundedContinuousFunction.lean,Mathlib/MeasureTheory/Integral/CircleAverage.lean,Mathlib/MeasureTheory/Integral/Gamma.lean,Mathlib/MeasureTheory/Integral/Lebesgue/Basic.lean,Mathlib/MeasureTheory/Integral/MeanInequalities.lean,Mathlib/MeasureTheory/Integral/MeanValue.lean,Mathlib/MeasureTheory/Measure/AddContent.lean,Mathlib/MeasureTheory/Measure/Count.lean,Mathlib/MeasureTheory/Measure/FiniteMeasure.lean,Mathlib/MeasureTheory/Measure/LevyConvergence.lean,Mathlib/MeasureTheory/Measure/LogLikelihoodRatio.lean,Mathlib/MeasureTheory/Measure/PreVariation.lean |
142 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
0-55814 15 hours ago |
0-55814 15 hours ago |
1-9120 1 day |
| Number |
Author |
Title |
Description |
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Modified files (first 100) |
📝 |
💬 |
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| 14563 |
awueth author:awueth |
feat: if-then-else of exclusive or statement |
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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 |
661-80714 1 year ago |
692-41296 692 days ago |
6-38745 6 days |
| 12751 |
Command-Master author:Command-Master |
feat: add lemmas for Nat/Bits, Nat/Bitwise and Nat/Size |
Remove `@[simp]` from `Nat.bit_false` and `Nat.bit_true`, as `bit0` and `bit1` are deprecated, and add some lemmas to `Bits`, `Bitwise` and `Size`.
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merge-conflict
t-data
new-contributor
|
66/7 |
Mathlib/Data/Nat/Bits.lean,Mathlib/Data/Nat/Bitwise.lean,Mathlib/Data/Nat/Multiplicity.lean,Mathlib/Data/Nat/Size.lean |
4 |
26 |
['Command-Master', 'Rida-Hamadani', 'Ruben-VandeVelde', 'YaelDillies', 'github-actions', 'jcommelin'] |
nobody |
657-65623 1 year ago |
692-71845 692 days ago |
56-40668 56 days |
| 14669 |
Command-Master author:Command-Master |
feat(Data/Nat/PartENat): add lemmas for PartENat |
Add some missing lemmas for `PartENat`, as well as the additive homomorphism from it to `WithTop Int`.
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new-contributor
merge-conflict
|
90/0 |
Mathlib/Data/Nat/PartENat.lean |
1 |
4 |
['erdOne', 'github-actions', 'mathlib-merge-conflicts', 'urkud'] |
nobody |
644-77513 1 year ago |
695-85035 695 days ago |
0-6775 1 hour |
| 15121 |
Eloitor author:Eloitor |
feat: iff theorems for IsSplitEpi and IsSplitMono in opposite category |
---
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[](https://gitpod.io/from-referrer/)
|
awaiting-author
t-category-theory
new-contributor
|
40/0 |
Mathlib/CategoryTheory/EpiMono.lean |
1 |
3 |
['github-actions', 'joelriou', 'mattrobball'] |
nobody |
644-40458 1 year ago |
675-86117 675 days ago |
7-3203 7 days |
| 14242 |
js2357 author:js2357 |
feat: Prove equivalence of `isDedekindDomain` and `isDedekindDomainDvr` |
Prove that `isDedekindDomainDvr` is equivalent to both `isDedekindDomain` and `isDedekindDomainInv`.
Specifically, prove `isDedekindDomainDvr A → isDedekindDomainInv A`, because `isDedekindDomain A → isDedekindDomainDvr A` and `IsDedekindDomain A ↔ IsDedekindDomainInv A` are already in Mathlib.
- [x] depends on: #14099
- [x] depends on: #14216
- [ ] depends on: #14237
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebra
blocked-by-other-PR
new-contributor
label:t-algebra$ |
269/1 |
Mathlib.lean,Mathlib/RingTheory/DedekindDomain/Dvr.lean,Mathlib/RingTheory/FractionalIdeal/LocalizedAtPrime.lean,Mathlib/RingTheory/Localization/Basic.lean |
4 |
2 |
['github-actions', 'leanprover-community-mathlib4-bot'] |
nobody |
621-51517 1 year ago |
709-40464 709 days ago |
0-273 4 minutes |
| 16887 |
metinersin author:metinersin |
feat(ModelTheory/Complexity): define conjunctive and disjunctive formulas |
Defines `FirstOrder.Language.BoundedFormula.IsConjunctive` and `FirstOrder.Language.BoundedFormula.IsDisjunctive`.
---
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- [ ] depends on: #16885
[](https://gitpod.io/from-referrer/)
|
merge-conflict
blocked-by-other-PR
new-contributor
t-logic
|
300/7 |
Mathlib/ModelTheory/Complexity.lean,Mathlib/ModelTheory/Equivalence.lean,Mathlib/ModelTheory/Syntax.lean |
3 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
613-47495 1 year ago |
628-75569 628 days ago |
0-1299 21 minutes |
| 16888 |
metinersin author:metinersin |
feat(ModelTheory/Complexity): Define conjunctive and disjunctive normal forms |
Define `FirstOrder.Language.BoundedFormula.IsDNF` and `FirstOrder.Language.BoundedFormula.IsCNF`.
---
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- [ ] depends on: #16887
[](https://gitpod.io/from-referrer/)
|
merge-conflict
blocked-by-other-PR
new-contributor
t-logic
|
415/7 |
Mathlib/ModelTheory/Complexity.lean,Mathlib/ModelTheory/Equivalence.lean,Mathlib/ModelTheory/Syntax.lean |
3 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
613-47495 1 year ago |
628-75570 628 days ago |
0-1045 17 minutes |
| 16889 |
metinersin author:metinersin |
feat(ModelTheory/Complexity): Normal forms |
Defines `FirstOrder.Language.BoundedFormula.toDNF` and `FirstOrder.Language.BoundedFormula.toCNF` - given a quantifier-free formula, these construct a semantically equivalent formula in disjunctive normal form and conjunctive normal form, respectively.
---
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- [ ] depends on: #16888
[](https://gitpod.io/from-referrer/)
|
merge-conflict
blocked-by-other-PR
new-contributor
t-logic
|
525/7 |
Mathlib/ModelTheory/Complexity.lean,Mathlib/ModelTheory/Equivalence.lean,Mathlib/ModelTheory/Syntax.lean |
3 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
613-47494 1 year ago |
628-71320 628 days ago |
0-613 10 minutes |
| 14619 |
Command-Master author:Command-Master |
chore: Merge `Trunc` to `Squash` |
Remove `Trunc` and use `Squash` instead
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
WIP
new-contributor
|
197/211 |
Mathlib/CategoryTheory/EpiMono.lean,Mathlib/CategoryTheory/Preadditive/Biproducts.lean,Mathlib/Data/DFinsupp/Basic.lean,Mathlib/Data/Fintype/Basic.lean,Mathlib/Data/Fintype/Card.lean,Mathlib/Data/Fintype/Option.lean,Mathlib/Data/Fintype/Perm.lean,Mathlib/Data/Fintype/Quotient.lean,Mathlib/Data/Quot.lean,Mathlib/Data/Semiquot.lean,Mathlib/GroupTheory/Perm/Cycle/Factors.lean,Mathlib/GroupTheory/Perm/Sign.lean,Mathlib/Logic/Equiv/List.lean |
13 |
3 |
['Command-Master', 'github-actions', 'vihdzp'] |
nobody |
604-7645 1 year ago |
unknown |
0-0 0 seconds |
| 12750 |
Command-Master author:Command-Master |
feat: define Gray code |
---
Define binary reflected gray code, both as a permutation of `Nat` and as a permutation of `BitVec n`, and prove some theorems about them. Additionally, remove `@[simp]` from `Nat.bit_false` and `Nat.bit_true`, as `bit0` and `bit1` are deprecated, and add some lemmas to `Bits`, `Bitwise` and `Size`.
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- [ ] depends on: #12751
[](https://gitpod.io/from-referrer/)
|
blocked-by-other-PR
t-data
new-contributor
merge-conflict
awaiting-author
|
226/0 |
Mathlib.lean,Mathlib/Data/Nat/Bits.lean,Mathlib/Data/Nat/Bitwise.lean,Mathlib/Data/Nat/GrayCode.lean,Mathlib/Data/Nat/Size.lean |
5 |
5 |
['Rida-Hamadani', 'alreadydone', 'github-actions', 'grunweg', 'leanprover-community-mathlib4-bot'] |
nobody |
595-70152 1 year ago |
744-52250 744 days ago |
16-49744 16 days |
| 14598 |
Command-Master author:Command-Master |
chore: add typeclasses to unify various `add_top`, `add_eq_top`, etc. |
Add the four typeclasses `IsTopAbsorbing`, `IsBotAbsorbing`, `NoTopSum`, `NoBotSum`, as additive equivalents for `MulZeroClass` and `NoZeroDivisors`. Add instances of these for `ENNReal`, `WithTop α`, `WithBot α`, `PUnit`, `EReal`, `PartENat`, `Measure`, `Interval` and `Filter`.
Also split `Algebra/Order/AddGroupWithTop` to `Algebra/Order/Group/WithTop` and `Algebra/Order/Monoid/WithTop`
---
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Previous usages of lemmas with quantified names like `WithTop.add_top` have to be changed to just `add_top`.
`add_lt_top` is `@[simp]`, in accordance with `ENNReal.add_lt_top` being `@[simp]`. This affects `WithTop.add_lt_top` which previously hadn't been `@[simp]`.
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebra
t-order
new-contributor
label:t-algebra$ |
264/195 |
Archive/Wiedijk100Theorems/BallotProblem.lean,Mathlib.lean,Mathlib/Algebra/Order/Group/WithTop.lean,Mathlib/Algebra/Order/GroupWithZero/Canonical.lean,Mathlib/Algebra/Order/Interval/Basic.lean,Mathlib/Algebra/Order/Monoid/Unbundled/Basic.lean,Mathlib/Algebra/Order/Monoid/Unbundled/Defs.lean,Mathlib/Algebra/Order/Monoid/Unbundled/WithTop.lean,Mathlib/Algebra/Order/Monoid/WithTop.lean,Mathlib/Algebra/PUnitInstances/Order.lean,Mathlib/Algebra/Polynomial/Degree/Definitions.lean,Mathlib/Algebra/Polynomial/Monic.lean,Mathlib/Algebra/Tropical/Basic.lean,Mathlib/Analysis/Analytic/Meromorphic.lean,Mathlib/Analysis/Normed/Lp/ProdLp.lean,Mathlib/Analysis/NormedSpace/ENorm.lean,Mathlib/Analysis/SpecialFunctions/JapaneseBracket.lean,Mathlib/Analysis/SpecialFunctions/Log/ENNRealLog.lean,Mathlib/Data/ENNReal/Operations.lean,Mathlib/Data/ENat/Basic.lean,Mathlib/Data/Nat/PartENat.lean,Mathlib/Data/Nat/WithBot.lean,Mathlib/Data/Real/EReal.lean,Mathlib/LinearAlgebra/Lagrange.lean,Mathlib/MeasureTheory/Covering/Differentiation.lean,Mathlib/MeasureTheory/Decomposition/Lebesgue.lean,Mathlib/MeasureTheory/Function/ConditionalExpectation/CondexpL1.lean,Mathlib/MeasureTheory/Function/Jacobian.lean,Mathlib/MeasureTheory/Function/L1Space.lean,Mathlib/MeasureTheory/Function/L2Space.lean,Mathlib/MeasureTheory/Function/LpSeminorm/Basic.lean,Mathlib/MeasureTheory/Function/LpSeminorm/TriangleInequality.lean,Mathlib/MeasureTheory/Function/LpSpace.lean,Mathlib/MeasureTheory/Function/StronglyMeasurable/Basic.lean,Mathlib/MeasureTheory/Function/UniformIntegrable.lean,Mathlib/MeasureTheory/Integral/Bochner.lean,Mathlib/MeasureTheory/Integral/MeanInequalities.lean,Mathlib/MeasureTheory/Integral/SetIntegral.lean,Mathlib/MeasureTheory/Integral/VitaliCaratheodory.lean,Mathlib/MeasureTheory/Measure/Hausdorff.lean,Mathlib/MeasureTheory/Measure/Lebesgue/Basic.lean,Mathlib/MeasureTheory/Measure/LevyProkhorovMetric.lean,Mathlib/MeasureTheory/Measure/MeasureSpace.lean,Mathlib/MeasureTheory/Measure/MeasureSpaceDef.lean,Mathlib/MeasureTheory/Measure/Regular.lean,Mathlib/MeasureTheory/Measure/Typeclasses.lean,Mathlib/NumberTheory/Padics/PadicNumbers.lean,Mathlib/Order/Filter/Pointwise.lean,Mathlib/Probability/Kernel/Defs.lean,Mathlib/Probability/Martingale/Convergence.lean,Mathlib/RingTheory/Multiplicity.lean,Mathlib/RingTheory/MvPowerSeries/NoZeroDivisors.lean,Mathlib/RingTheory/UniqueFactorizationDomain.lean,Mathlib/Topology/EMetricSpace/Defs.lean,Mathlib/Topology/MetricSpace/Bounded.lean,Mathlib/Topology/MetricSpace/HausdorffDistance.lean,Mathlib/Topology/MetricSpace/Lipschitz.lean |
57 |
30 |
['Command-Master', 'YaelDillies', 'github-actions'] |
nobody |
579-12028 1 year ago |
579-12028 579 days ago |
7-45599 7 days |
| 16885 |
metinersin author:metinersin |
feat(ModelTheory/Complexity): define literals |
Defines `FirstOrder.Language.BoundedFormula.IsLiteral` and `FirstOrder.Language.BoundedFormula.simpleNot` - an auxiliary operation that takes the negation of a formula and does some simplification.
---
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- [x] depends on: #16800
[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
new-contributor
t-logic
|
148/5 |
Mathlib/ModelTheory/Complexity.lean,Mathlib/ModelTheory/Equivalence.lean,Mathlib/ModelTheory/Semantics.lean,Mathlib/ModelTheory/Syntax.lean |
4 |
20 |
['YaelDillies', 'awainverse', 'github-actions', 'mathlib4-dependent-issues-bot', 'metinersin'] |
nobody |
576-54549 1 year ago |
612-43861 612 days ago |
0-19926 5 hours |
| 13248 |
hcWang942 author:hcWang942 |
feat: basic concepts of auction theory |
## Description
Formalise some core concepts and results in auction theory: this includes definitions for first-price and second-price auctions, as well as several fundamental results and helping lemmas.
This is the very first PR of the project formalizing core concepts and results in auction theory.
Our group is working on more contributions on the formalization of game theory prefix.
Co-authored-by: Ma Jiajun <hoxide@gmail.com>
## Reference
Roughgarden, Tim. ***Twenty Lectures on Algorithmic Game Theory***. Cambridge University Press, 2020. [Link](https://www.cambridge.org/core/books/twenty-lectures-on-algorithmic-game-theory/A9D9427C8F43E7DAEF8C702755B6D72B)
---
- [x] Will depend on #14163 once that PR is merged. The Fintype lemmas introduced by this PR have been added in that PR and will be removed from here once that PR gets merged
## Current plan for formalization of Game Theory
The current plan for the formalizing of Game Theory include:
#### 1. Auction Theory. 🎉 _(200+ lines, this PR)_
- Essential definitions of Sealed-bid auction, First-price auction and Second-price auction.
- First-price auction has no dominant strategy.
- Second-price auction has dominant strategy. (Second-price auction is DSIC)
#### 2. Mechanism design & Myerson's Lemma. 🎉 (400+ lines, pending for modification to Mathlib Standard)
- Mechanism design
An allocation rule is implementable if there exists
- Dominant Strategy Incentive Compatible (DSIC) payment rule
- An allocation rule is monotone if for every bidder’s gain is nondecreasing w.r.t. her/his bid
- Myerson's Lemma
Implementable ⇔ Monotone
In the above case, the DSIC payment rule is unique.
#### 3. von Neumann‘s Minimax Theorem. 🎉 (800+ lines, pending for modification to Mathlib Standard)
- Equilibrium in zero sum game
- Formalization strategy: via Loomis’s theorem.
#### 4. Nash Equilibrium. 🎉 (pending for modification to Mathlib Standard)
#### 5. Brouwer fixed-point theorem. (Work in Progress)
#### 6. More Mechanism design. (Planning)
|
merge-conflict
awaiting-author
new-contributor
t-logic
|
204/0 |
Mathlib.lean,Mathlib/GameTheory/Auction/Basic.lean,docs/references.bib |
3 |
148 |
['Shreyas4991', 'YaelDillies', 'eric-wieser', 'faenuccio', 'github-actions', 'grunweg', 'hcWang942', 'tb65536', 'urkud', 'vihdzp'] |
hcWang942 assignee:hcWang942 |
572-6981 1 year ago |
585-79569 585 days ago |
109-82807 109 days |
| 19125 |
yhtq author:yhtq |
feat: add theorems to transfer `IsGalois` between pairs of fraction rings |
feat: add theorems to transfer `IsGalois` between pairs of fraction rings.
- [x] depends on: #18404
- [x] depends on: #19124
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebra
new-contributor
label:t-algebra$ |
121/0 |
Mathlib.lean,Mathlib/FieldTheory/Galois/IsFractionRing.lean,Mathlib/RingTheory/Localization/FractionRing.lean |
3 |
3 |
['github-actions', 'mathlib4-dependent-issues-bot', 'tb65536'] |
nobody |
542-29398 1 year ago |
568-77180 568 days ago |
0-1980 33 minutes |
| 17739 |
Aaron1011 author:Aaron1011 |
feat(Topology/Order/DenselyOrdered): prove Not (IsOpen) for intervals |
Prove that Iic/Ici/Ioc/Ico/Icc intervals are not open in densely ordered topologies with no min/max element
---
[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-topology
new-contributor
|
27/0 |
Mathlib/Topology/Order/DenselyOrdered.lean |
1 |
8 |
['github-actions', 'vihdzp'] |
nobody |
508-51410 1 year ago |
601-42980 601 days ago |
0-4704 1 hour |
| 15711 |
znssong author:znssong |
feat(Combinatorics/SimpleGraph): Some lemmas about walk, cycle and Hamiltonian cycle |
---
These lemmas are separated from the `meow-sister/BondyChvatal` branch and will be needed for the proof of the Bondy-Chvátal theorem.
- [x] depends on: #15536
- [x] depends on: #16294 |
merge-conflict
awaiting-author
t-combinatorics
new-contributor
|
407/3 |
Mathlib/Combinatorics/SimpleGraph/Finite.lean,Mathlib/Combinatorics/SimpleGraph/Hamiltonian.lean,Mathlib/Combinatorics/SimpleGraph/Path.lean,Mathlib/Combinatorics/SimpleGraph/Walk.lean |
4 |
22 |
['Rida-Hamadani', 'YaelDillies', 'github-actions', 'mathlib4-dependent-issues-bot', 'znssong'] |
nobody |
507-70496 1 year ago |
628-81657 628 days ago |
9-13962 9 days |
| 15720 |
znssong author:znssong |
feat(SimpleGraph): The Bondy-Chvátal theorem |
The proof of the Bondy-Chvátal theorem, with Dirac's theorem and Ore's theorem as its corollary.
- [x] depends on: #15536
- [ ] depends on: #15711
- [ ] depends on: #15578 |
merge-conflict
blocked-by-other-PR
t-combinatorics
new-contributor
|
903/3 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/BondyChvatal.lean,Mathlib/Combinatorics/SimpleGraph/Finite.lean,Mathlib/Combinatorics/SimpleGraph/Hamiltonian.lean,Mathlib/Combinatorics/SimpleGraph/Path.lean,Mathlib/Combinatorics/SimpleGraph/Walk.lean,Mathlib/Dynamics/FixedPoints/Basic.lean,Mathlib/Dynamics/FixedPoints/Increasing.lean |
8 |
3 |
['github-actions', 'grunweg'] |
nobody |
507-70496 1 year ago |
665-1450 665 days ago |
0-1791 29 minutes |
| 18629 |
tomaz1502 author:tomaz1502 |
feat(Computability.Timed): Formalization of runtime complexity of List.merge |
This PR adds the formalization of the runtime complexity of the merge function, defined in `Data/List/Sort`.
Requires: https://github.com/leanprover-community/mathlib4/pull/15450
References:
- Previous PR on mathlib3: https://github.com/leanprover-community/mathlib3/pull/14494/
- First discussion on Zulip: https://leanprover.zulipchat.com/#narrow/stream/113488-general/topic/BSc.20Final.20Project/near/220647062
- Second disussion on Zulip: https://leanprover.zulipchat.com/#narrow/stream/113488-general/topic/Formalization.20of.20Runtime.20Complexity.20of.20Sorting.20Algorithms/near/284184450
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-computability
awaiting-author
new-contributor
|
186/0 |
Mathlib.lean,Mathlib/Computability/Timed/InsertionSort.lean,Mathlib/Computability/Timed/Merge.lean |
3 |
2 |
['github-actions', 'trivial1711'] |
nobody |
507-36415 1 year ago |
547-36028 547 days ago |
33-11262 33 days |
| 18461 |
hannahfechtner author:hannahfechtner |
feat: left and right common multiples mixins |
add mixins for left and right common multiples. These carry the data of what factors are used to create the common multiples
---
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[](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 |
503-83995 1 year ago |
503-83995 503 days ago |
69-35596 69 days |
| 19291 |
PieterCuijpers author:PieterCuijpers |
feat(Algebra/Order/Hom): add quantale homomorphism |
Definition of quantale homomorphisms as functions that are both semigroup homomorphisms and complete lattice homomorphisms.
---
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- [x] depends on: #19810
- [x] depends on: #19811
[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-algebra
new-contributor
label:t-algebra$ |
209/0 |
Mathlib.lean,Mathlib/Algebra/Order/Hom/Quantale.lean,scripts/noshake.json |
3 |
29 |
['PieterCuijpers', 'YaelDillies', 'github-actions', 'kim-em', 'mathlib4-dependent-issues-bot'] |
nobody |
502-58074 1 year ago |
508-25475 508 days ago |
29-51482 29 days |
| 20372 |
jvlmdr author:jvlmdr |
feat(MeasureTheory/Function): Add ContinuousLinearMap.bilinearCompLp(L) |
Introduce ContinuousLinearMap.bilinearCompLp and bilinearCompLpL.
Generalize eLpNorm_le_eLpNorm_mul_eLpNorm theorems to include constant C in bound condition.
---
Expect this may be useful for defining tempered distributions from functions in `L^p`.
The definitions more or less follow `ContinuousLinearMap.compLp...`. Names are loosely analogous to `ContinuousLinearMap.bilinearComp` and `SchwartzMap.bilinLeftCLM`.
Note: I preferred the spelling `hpqr : p⁻¹ + q⁻¹ = r⁻¹` with `f` in `L^p` and `g` in `L^q` to `hpqr : 1 / p = 1 / q + 1 / r`. It's easier to obtain from `ENNReal.IsConjExponent` too.
A few questions:
- [ ] I defined `bilinear{Left,Right}LpL` in addition to `bilinearCompLpL` because `LinearMap.mkContinuous₂` is marked as `noncomputable` and `LinearMap.mkContinuous` is not. Is this worth the extra definitions? (Note: This is not visible in the source due to `noncomputable section`.)
- [ ] Should I use `C : ℝ` instead of `C : NNReal` for `eLpNorm_le_eLpNorm_mul_eLpNorm'_of_norm'`?
- [ ] Is it going to be painful to have `[Fact (1 ≤ p)] [Fact (1 ≤ q)] [Fact (1 ≤ r)]`? I don't think there's a way to avoid it though. Maybe providing specialized versions for `p.IsConjExponent q` with `L^1`?
Naming:
- [ ] Is it satisfactory to add a `'` to the `eLpNorm_le_eLpNorm_mul_eLpNorm ` definitions in `CompareExp.lean` where `≤ ‖f x‖ * ‖g x‖` has been replaced with `≤ C * ‖f x‖ * ‖g x‖`? These could replace the existing theorems, although I don't want to break backwards compatibility. There are 5 instances: `eLpNorm_le_eLpNorm_top_mul_eLpNorm'`, `eLpNorm_le_eLpNorm_mul_eLpNorm_top'`, `eLpNorm'_le_eLpNorm'_mul_eLpNorm''`, `eLpNorm_le_eLpNorm_mul_eLpNorm_of_nnnorm'`, `eLpNorm_le_eLpNorm_mul_eLpNorm'_of_norm'` (I'm not sure why the existing theorem `eLpNorm_le_eLpNorm_mul_eLpNorm'_of_norm` has an internal `'`)
- [ ] Is `bilinearLeftLpL` a suitable name? Other options: `bilinearCompLpLeftL`, `bilinearCompLeftLpL`, `bilinLeftLpL` (analogous to `SchwartzMap.bilinLeftCLM`)
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[](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 |
495-75422 1 year ago |
495-75422 495 days ago |
27-43617 27 days |
| 20248 |
peabrainiac author:peabrainiac |
feat(Topology/Compactness): first-countable locally path-connected spaces are delta-generated |
Shows that all first-countable locally path-connected spaces are delta-generated (so in particular all normed spaces and convex subsets thereof are), and that delta-generated spaces are equivalently generated by the unit interval or standard simplices.
---
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- [ ] depends on: #21616
In principle, this should be close to all that's required to show that all simplicial complexes and CW-complexes are delta-generated; I just haven't done it yet because I'm not sure which file to best do it in.
[](https://gitpod.io/from-referrer/)
|
blocked-by-other-PR
large-import
new-contributor
merge-conflict
awaiting-author
t-topology
|
1189/813 |
Mathlib.lean,Mathlib/Geometry/Manifold/ChartedSpace.lean,Mathlib/Topology/Algebra/Module/LocallyConvex.lean,Mathlib/Topology/Compactness/DeltaGeneratedSpace.lean,Mathlib/Topology/Connected/LocPathConnected.lean,Mathlib/Topology/Connected/PathConnected.lean,Mathlib/Topology/ContinuousOn.lean,Mathlib/Topology/Homotopy/HSpaces.lean,Mathlib/Topology/Path.lean |
9 |
22 |
['YaelDillies', 'github-actions', 'kbuzzard', 'mathlib4-dependent-issues-bot', 'peabrainiac'] |
nobody |
483-32732 1 year ago |
489-83649 489 days ago |
39-21495 39 days |
| 19943 |
AlexLoitzl author:AlexLoitzl |
feat(Computability): Add Chomsky Normal Form Grammar and translation |
- Define Chomsky normal form grammars
- Add language-preserving translation between context-free grammars and Chomsky normal form grammars
Co-authored-by: Martin Dvorak martin.dvorak@matfyz.cz
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-computability
awaiting-author
new-contributor
|
3151/0 |
Mathlib.lean,Mathlib/Computability/ChomskyNormalForm/Basic.lean,Mathlib/Computability/ChomskyNormalForm/EmptyElimination.lean,Mathlib/Computability/ChomskyNormalForm/LengthRestriction.lean,Mathlib/Computability/ChomskyNormalForm/TerminalRestriction.lean,Mathlib/Computability/ChomskyNormalForm/Translation.lean,Mathlib/Computability/ChomskyNormalForm/UnitElimination.lean,Mathlib/Computability/ContextFreeGrammar.lean |
8 |
59 |
['AlexLoitzl', 'YaelDillies', 'github-actions', 'kim-em', 'madvorak'] |
nobody |
478-66831 1 year ago |
485-78453 485 days ago |
37-29014 37 days |
| 21501 |
sksgurdldi author:sksgurdldi |
feat(List): add sum_zipWith_eq_finset_sum |
### **Description:**
This PR adds the lemma `List.sum_zipWith_eq_finset_sum` to `Mathlib.Algebra.BigOperators.Group.Finset.Basic`.
#### **Statement:**
The sum of the `zipWith` operation on two lists equals the sum of applying the operation to corresponding elements of the two lists, indexed over the minimum of their lengths.
#### **Formal Statement:**
```lean
lemma sum_zipWith_eq_finset_sum [Inhabited α] [Inhabited β] [AddCommMonoid γ]
{op : α → β → γ}
(l : List α) (m : List β) :
(List.zipWith op l m).sum =
∑ x ∈ (Finset.range (Nat.min l.length m.length)), op (l[x]!) (m[x]!)
```
#### **Remarks:**
- This lemma provides a useful equivalence between `List.zipWith` and summation over a `Finset.range` indexed by `Nat.min l.length m.length`.
- It can be helpful in algebraic manipulations involving list-based summations.
#### **Dependencies:**
No additional dependencies.
---
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[](https://gitpod.io/from-referrer/)
|
awaiting-author
t-algebra
new-contributor
label:t-algebra$ |
43/0 |
Mathlib/Algebra/BigOperators/Group/Finset/Basic.lean |
1 |
1 |
['github-actions', 'j-loreaux'] |
nobody |
473-35602 1 year ago |
473-35602 473 days ago |
13-33168 13 days |
| 21959 |
BGuillemet author:BGuillemet |
feat(Topology/ContinuousMap): Stone-Weierstrass theorem for MvPolynomial |
Add the subalgebra of multivariate polynomials and prove it separates points, on the same model as `ContinuousMap/Polynomial.lean`.
Prove the Stone-Weierstrass theorem and some variations for multivariate polynomials.
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-topology
new-contributor
|
285/1 |
Mathlib.lean,Mathlib/Topology/ContinuousMap/MvPolynomial.lean,Mathlib/Topology/ContinuousMap/StoneWeierstrass.lean |
3 |
1 |
['github-actions'] |
nobody |
459-61443 1 year ago |
459-61443 459 days ago |
16-76141 16 days |
| 15578 |
znssong author:znssong |
feat(Function): Fixed points of function `f` with `f(x) >= x` |
We added some lemmas of fixed points of function `f` with `f(x) >= x`, where `f : α → α` is a function on a finite type `α`. This will be needed in proof of Bondy-Chvátal theorem.
---
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See also branch `meow-sister/BondyChvatal`.
[](https://gitpod.io/from-referrer/) |
merge-conflict
awaiting-author
t-analysis
new-contributor
|
82/0 |
Mathlib.lean,Mathlib/Dynamics/FixedPoints/Basic.lean,Mathlib/Dynamics/FixedPoints/Increasing.lean |
3 |
32 |
['Ruben-VandeVelde', 'YaelDillies', 'github-actions', 'urkud', 'vihdzp', 'znssong'] |
nobody |
451-57269 1 year ago |
634-60498 634 days ago |
29-48368 29 days |
| 21018 |
markimunro author:markimunro |
feat(Data/Matrix): add file with key definitions and theorems about elementary row operations |
Prove that each elementary row operation is equivalent to a multiplication by an elementary matrix, has another row operation which inverts it, and that each elementary matrix has a left inverse.
This is a very large PR and I understand it will take time. This is my first one and will likely have issues but I will be ready to answer questions/fix them as soon as possible.
Co-authored-by: Christopher Lynch <clynch@clarkson.edu>
---
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[](https://gitpod.io/from-referrer/)
|
t-data
enhancement
new-contributor
merge-conflict
awaiting-author
|
1230/0 |
Mathlib.lean,Mathlib/Data/Matrix/ElementaryRowOperations.lean,Mathlib/Data/Matrix/GaussianElimination.lean,Mathlib/Data/Matrix/GaussianEliminationOld,Mathlib/Data/Matrix/oldnames,et --hard 18533caba32,lean-toolchain |
7 |
17 |
['chrisflav', 'eric-wieser', 'github-actions', 'j-loreaux', 'markimunro'] |
nobody |
433-6268 1 year ago |
458-35224 458 days ago |
23-22681 23 days |
| 15212 |
victorliu5296 author:victorliu5296 |
feat: Add fundamental theorem of calculus-2 for Banach spaces |
add the Mean Value Theorem for Banach spaces to the library and include reference for the theorem statement
This theorem states that if `f : X → Y` is differentiable along the line segment from `a` to `b`, then the change in `f` equals the integral of its derivative along this path. This extends the mean value theorem to Banach spaces. This can be used for the eventual proof of the Newton-Kantorovich theorem with 1 constant contained inside the added reference.
Here is the discussion on Zulipchat: https://leanprover.zulipchat.com/#narrow/stream/287929-mathlib4/topic/Contributing.20FTC-2.20for.20Banach.20spaces |
t-measure-probability
new-contributor
merge-conflict
awaiting-author
t-analysis
|
60/1 |
Mathlib/MeasureTheory/Integral/FundThmCalculus.lean |
1 |
3 |
['github-actions', 'hrmacbeth', 'victorliu5296'] |
nobody |
428-1257 1 year ago |
621-65028 621 days ago |
51-85104 51 days |
| 22308 |
plp127 author:plp127 |
feat (Analysis/Convex): Generalize `Convex` lemmas to `StarConvex` |
This PR generalizes many lemmas assuming `Convex 𝕜 s` to assume `StarConvex 𝕜 0 s`.
---
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- [x] depends on: #22421
[](https://gitpod.io/from-referrer/)
|
merge-conflict
WIP
t-analysis
new-contributor
|
30/18 |
Mathlib/Analysis/Convex/Gauge.lean,Mathlib/Analysis/Convex/GaugeRescale.lean,Mathlib/Analysis/Convex/Star.lean,Mathlib/Analysis/LocallyConvex/AbsConvexOpen.lean |
4 |
5 |
['Paul-Lez', 'github-actions', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot'] |
nobody |
424-73577 1 year ago |
unknown |
0-0 0 seconds |
| 21488 |
imbrem author:imbrem |
feat(CategoryTheory/Monoidal): premonoidal categories |
Add support for premonoidal categories
---
Still want to add support for:
- Premonoidal braided/symmetric categories
- The monoidal coherence theorem, which I've already ported in my `discretion` library
- The `coherence` tactic, which should work fine for premonoidal categories too
but wanted to get this in front of reviewers ASAP to make sure my general approach was alright
<!-- The text above the `---` will become the commit message when your
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[](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 |
424-69845 1 year ago |
424-69846 424 days ago |
58-6026 58 days |
| 20873 |
vbeffara author:vbeffara |
feat(Topology/Covering): path lifting and homotopy lifting |
This proves the existence and uniqueness of path and homotopy lifts through covering maps.
---
I tried to separate as much of the proof as possible into separate PRs (which are already in Mathlib now), but the proof here relies on a monolithic construction of an explicit lift along a well-chosen subdivision, in `partial_lift`, with associated definitions. Only one standalone lean file added.
An older WIP PR #10084 by Junyan Xu @alreadydone proves similar results using a very similar construction for path lifting, with a different argument to obtain continuity for homotopy lifting.
<!-- The text above the `---` will become the commit message when your
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-topology
new-contributor
|
281/1 |
Mathlib.lean,Mathlib/Topology/Covering/Basic.lean,Mathlib/Topology/Covering/Lift.lean |
3 |
9 |
['alreadydone', 'github-actions', 'grunweg', 'vbeffara'] |
nobody |
423-72573 1 year ago |
498-65333 498 days ago |
5-5648 5 days |
| 20313 |
thefundamentaltheor3m author:thefundamentaltheor3m |
feat(Data/Complex/Exponential): prove some useful results about the complex exponential. |
This PR proves two basic results about the complex exponential:
* `abs_exp_mul_I (x : ℂ) : abs (Complex.exp (I * x)) = Real.exp (-x.im)`
* `one_sub_rexp_re_le_abs_one_sub_cexp (x : ℂ) : 1 - Real.exp x.re ≤ Complex.abs (1 - Complex.exp x)`
Both results were proved as part of the sphere packing project. There's a chance they're too specific for mathlib, but I thought they were worth PRing anyway. Would it also be a good idea to tag `abs_exp_mul_I` with `simp`? Feedback/suggestions welcome.
Note: `one_sub_rexp_re_le_abs_one_sub_cexp` was proved by Bhavik Mehta @b-mehta
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-analysis
new-contributor
|
167/141 |
Mathlib.lean,Mathlib/Analysis/Complex/Basic.lean,Mathlib/Analysis/SpecialFunctions/Log/ERealExp.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Chebyshev.lean,Mathlib/Data/Complex/Exponential/Defs.lean,Mathlib/Data/Complex/Exponential/Lemmas.lean,Mathlib/Data/Complex/ExponentialBounds.lean,Mathlib/Tactic/FunProp.lean,MathlibTest/Recall.lean,MathlibTest/positivity.lean |
10 |
12 |
['b-mehta', 'github-actions', 'kim-em', 'thefundamentaltheor3m', 'trivial1711'] |
nobody |
416-43771 1 year ago |
499-55018 499 days ago |
8-42257 8 days |
| 20730 |
kuotsanhsu author:kuotsanhsu |
feat(LinearAlgebra/Matrix/SchurTriangulation): prove Schur decomposition/triangulation |
`Matrix.schur_triangulation` shows that a matrix over an algebraically closed field is unitarily similar to an upper triangular matrix
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-algebra
new-contributor
label:t-algebra$ |
317/2 |
Mathlib.lean,Mathlib/LinearAlgebra/Matrix/Block.lean,Mathlib/LinearAlgebra/Matrix/SchurTriangulation.lean,Mathlib/Logic/Equiv/Basic.lean |
4 |
14 |
['eric-wieser', 'github-actions', 'kim-em', 'kuotsanhsu'] |
nobody |
416-39903 1 year ago |
496-30876 496 days ago |
13-56244 13 days |
| 22809 |
b-reinke author:b-reinke |
feat: Category algebras and path algebras |
This PR defines the category algebra of a linear category and path algebras of quivers.
---
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PR is merged. Please leave a blank newline before the `---`, otherwise
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[](https://gitpod.io/from-referrer/)
|
WIP
t-algebra
t-category-theory
new-contributor
label:t-algebra$ |
218/0 |
Mathlib/Algebra/Ring/Assoc.lean,Mathlib/CategoryTheory/Linear/CategoryAlgebra.lean,Mathlib/Combinatorics/Quiver/PathAlgebra.lean,Mathlib/Data/DFinsupp/BigOperators.lean |
4 |
2 |
['b-reinke', 'github-actions'] |
nobody |
401-4342 1 year ago |
unknown |
0-0 0 seconds |
| 15654 |
TpmKranz author:TpmKranz |
feat(Computability): language-preserving maps between NFA and RE |
Map REs to NFAs via Thompson's construction and NFAs to REs using GNFAs
Last chunk of #12648
---
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- [ ] depends on: #15651
- [ ] depends on: #15649
[](https://gitpod.io/from-referrer/)
|
blocked-by-other-PR
new-contributor
t-computability
merge-conflict
awaiting-zulip
|
985/2 |
Mathlib.lean,Mathlib/Computability/GNFA.lean,Mathlib/Computability/Language.lean,Mathlib/Computability/NFA.lean,Mathlib/Computability/RegularExpressions.lean,Mathlib/Data/FinEnum/Option.lean,docs/references.bib |
7 |
3 |
['github-actions', 'leanprover-community-mathlib4-bot', 'meithecatte'] |
nobody |
398-37021 1 year ago |
667-60206 667 days ago |
0-179 2 minutes |
| 24008 |
meithecatte author:meithecatte |
chore(EpsilonNFA): replace manual lemmas with @[simps] |
---
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[](https://gitpod.io/from-referrer/)
|
t-computability
awaiting-author
new-contributor
|
2/24 |
Mathlib/Computability/EpsilonNFA.lean |
1 |
2 |
['YaelDillies', 'github-actions', 'urkud'] |
nobody |
392-82600 1 year ago |
392-82600 392 days ago |
27-52316 27 days |
| 23349 |
BGuillemet author:BGuillemet |
feat: add LocallyLipschitzOn.lipschitzOnWith_of_isCompact and two small lemmas about Lipschitz functions |
Main feat (in Mathlib/Topology/EMetricSpace/Basic.lean): if a function `f` from an extended pseudometric space to a pseudometric space is locally Lipschitz on a compact subset `s`, then `f` is Lipschitz on `s`. The theorem is true only when the codomain of `f` is a pseudometric space, so it needs imports from Mathlib/Topology/MetricSpace.
Other small feat (in Mathlib/Analysis/Calculus/ContDiff/RCLike.lean): a function that is continuously differentiable on an open subset is locally Lipschitz on this subset.
---
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- [ ] depends on: #22890
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-topology
large-import
new-contributor
|
59/4 |
Mathlib/Analysis/Calculus/ContDiff/RCLike.lean,Mathlib/Topology/EMetricSpace/Lipschitz.lean |
2 |
4 |
['github-actions', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot'] |
PatrickMassot assignee:PatrickMassot |
376-54941 1 year ago |
376-54943 376 days ago |
35-30364 35 days |
| 12799 |
jstoobysmith author:jstoobysmith |
feat(LinearAlgebra/UnitaryGroup): Add properties of Special Unitary Group |
Add properties of the special unitary group, mirroring the properties of found in Algebra/Star/Unitary.lean. In particular, I add an instance of `specialUnitaryGroup` as a `Group`, `Star`, `InvolutiveStar`, and `StarMul`.
---
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[](https://gitpod.io/from-referrer/)
|
please-adopt
t-algebra
new-contributor
merge-conflict
awaiting-author
label:t-algebra$ |
78/0 |
Mathlib/LinearAlgebra/UnitaryGroup.lean |
1 |
8 |
['chrisflav', 'jcommelin', 'leanprover-community-bot-assistant'] |
nobody |
366-26894 1 year ago |
749-54547 749 days ago |
9-22045 9 days |
| 20334 |
miguelmarco author:miguelmarco |
feat: allow polyrith to use a local Singular/Sage install |
Try to call a local install of Singular (either standalone or inside Sage) to find the witness for polyrith before trying to call the online sage cell server.
---
[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
new-contributor
t-meta
|
171/48 |
Mathlib/Tactic/Polyrith.lean,scripts/polyrith_sage.py |
2 |
16 |
['eric-wieser', 'github-actions', 'hanwenzhu', 'kim-em', 'miguelmarco', 'mkoeppe'] |
nobody |
359-19447 11 months ago |
497-57428 497 days ago |
27-61498 27 days |
| 25218 |
kckennylau author:kckennylau |
feat(AlgebraicGeometry): Tate normal form of elliptic curves |
---
<!-- The text above the `---` will become the commit message when your
PR is merged. Please leave a blank newline before the `---`, otherwise
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-algebraic-geometry
awaiting-zulip
new-contributor
|
291/26 |
Mathlib.lean,Mathlib/AlgebraicGeometry/EllipticCurve/IsomOfJ.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Modular/TateNormalForm.lean,Mathlib/AlgebraicGeometry/EllipticCurve/NormalForms.lean,Mathlib/AlgebraicGeometry/EllipticCurve/VariableChange.lean |
5 |
31 |
['MichaelStollBayreuth', 'Multramate', 'acmepjz', 'github-actions', 'grunweg', 'kckennylau', 'leanprover-community-bot-assistant'] |
nobody |
338-16208 11 months ago |
370-77725 370 days ago |
6-47693 6 days |
| 10190 |
jstoobysmith author:jstoobysmith |
feat(AlgebraicTopology): add Augmented Simplex Category |
- Added the definition of the category FinLinOrd of finite linear ordered sets.
- Added the definition of the augmented simplex category `AugmentedSimplexCategory`, and showed it is the Skeleton of FinLinOrd.
- Showed that the category of augmented simplicial objects defined as a comma category is equivalent to the category of functors from `AugmentedSimplexCategory^\op`
---
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|
t-algebraic-topology
WIP
t-category-theory
new-contributor
merge-conflict
|
720/0 |
Mathlib.lean,Mathlib/AlgebraicTopology/AugmentedSimplexCategory.lean,Mathlib/AlgebraicTopology/SimplicialObject.lean,Mathlib/Order/Category/FinLinOrd.lean |
4 |
5 |
['TwoFX', 'YaelDillies', 'joelriou', 'jstoobysmith'] |
nobody |
311-74748 10 months ago |
848-67674 848 days ago |
7-63253 7 days |
| 25238 |
Hagb author:Hagb |
feat(Tactic/ComputeDegree): add support for scalar multiplication with different types |
It would be able to deal with `a • (X : R[X])` where `a : S` is in a different type `S` with `[SMulZeroClass S R]`.
---
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- [x] depends on: #25237
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-meta
new-contributor
|
17/5 |
Mathlib/Tactic/ComputeDegree.lean,MathlibTest/ComputeDegree.lean |
2 |
3 |
['github-actions', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot'] |
nobody |
307-80939 10 months ago |
338-16208 338 days ago |
38-26044 38 days |
| 18646 |
jxjwan author:jxjwan |
feat(RingTheory): isotypic components |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-ring-theory
new-contributor
|
308/0 |
Mathlib/Order/CompactlyGenerated/Basic.lean,Mathlib/RingTheory/Isotypic.lean,Mathlib/RingTheory/SimpleModule.lean |
3 |
1 |
['github-actions'] |
nobody |
306-82960 10 months ago |
559-76553 559 days ago |
20-15640 20 days |
| 20671 |
thefundamentaltheor3m author:thefundamentaltheor3m |
feat(Analysis/Asymptotics/SpecificAsymptotics): Proving that 𝛔ₖ(n) = O(nᵏ⁺¹) |
This PR proves a result about the $\sigma_k(n)$ arithmetic function, namely, that it is $O\left(n^{k+1}\right)$. Main theorem:
`theorem sigma_asymptotic (k : ℕ) : (fun n ↦ (σ k n : ℝ)) =O[atTop] (fun n ↦ (n ^ (k + 1) : ℝ))`
This result was proved as part of the sphere packing project.
---
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[](https://gitpod.io/from-referrer/)
|
t-number-theory
new-contributor
large-import
merge-conflict
awaiting-author
|
29/0 |
Mathlib/Analysis/Asymptotics/SpecificAsymptotics.lean |
1 |
3 |
['b-mehta', 'github-actions', 'mathlib4-merge-conflict-bot'] |
b-mehta assignee:b-mehta |
302-101 9 months ago |
502-61316 502 days ago |
9-59130 9 days |
| 20722 |
ctchou author:ctchou |
feat(Counterexamples): the Vitali set is non-measurable |
---
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[](https://gitpod.io/from-referrer/)
|
please-adopt
t-measure-probability
new-contributor
merge-conflict
awaiting-author
|
258/3 |
Counterexamples.lean,Counterexamples/VitaliSetNotMeasurable.lean,Mathlib/MeasureTheory/Measure/NullMeasurable.lean,docs/1000.yaml |
4 |
76 |
['ctchou', 'github-actions', 'grunweg', 'mathlib4-merge-conflict-bot', 'vihdzp'] |
vihdzp assignee:vihdzp |
295-76185 9 months ago |
509-68155 509 days ago |
0-47663 13 hours |
| 28502 |
gilesgshaw author:gilesgshaw |
feat(Logic/Basic): avoid unnecessary uses of choice |
Certain proofs are modified to remove a dependence on the axoim of choice
---
- [ ] depends on: #28623
|
blocked-by-other-PR
new-contributor
merge-conflict
awaiting-author
t-logic
|
83/74 |
Mathlib/Logic/Basic.lean |
1 |
7 |
['Ruben-VandeVelde', 'eric-wieser', 'gilesgshaw', 'github-actions', 'kim-em', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
nobody |
293-11597 9 months ago |
295-83526 295 days ago |
0-35689 9 hours |
| 19582 |
yu-yama author:yu-yama |
feat(GroupExtension/Abelian): define `OfMulDistribMulAction.equivH2` |
Mainly defines:
- `structure GroupExtension.OfMulDistribMulAction N G [MulDistribMulAction G N]`: group extensions of `G` by `N` where the multiplicative action of `G` on `N` is the conjugation
- `structure GroupExtension.OfMulDistribMulActionWithSection N G [MulDistribMulAction G N]`: group extensions with specific choices of sections
- `def GroupExtension.OfMulDistribMulAction.equivH2`: a bijection between the equivalence classes of group extensions and $H^2 (G, N)$
---
- [x] depends on: #20802 (split PR: contains changes to the `Defs` file)
- [x] depends on: #20998 (split PR: mainly adds the `Basic` file)
- [ ] depends on: #26670 (split PR: adds the first part of the `Abelian` file)
Here is a relevant TODO in Mathlib:
https://github.com/leanprover-community/mathlib4/blob/4e9fa40d7c480937e09cd6e47a591bd6f3b8be42/Mathlib/RepresentationTheory/GroupCohomology/LowDegree.lean#L46-L48
I would appreciate your comments.
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|
merge-conflict
t-algebra
blocked-by-other-PR
new-contributor
label:t-algebra$ |
750/14 |
Mathlib.lean,Mathlib/GroupTheory/GroupExtension/Abelian.lean,Mathlib/GroupTheory/GroupExtension/Defs.lean,docs/references.bib |
4 |
5 |
['YaelDillies', 'erdOne', 'github-actions', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
nobody |
290-48105 9 months ago |
513-18664 513 days ago |
43-22586 43 days |
| 27403 |
MoritzBeroRoos author:MoritzBeroRoos |
fix: replace probably erroneous usage of ⬝ (with old \cdot) by · (with \centerdot) |
Discussion at [zulip](https://leanprover.zulipchat.com/#narrow/channel/270676-lean4/topic/.5Ccdot.20!.3D.20.5Ccenterdot).
Currently the abbreviations \cdot and \centerdot resolve to different, with the naked eye nearly undistinguishable symbols (despite the c in cdot surely standing for center..).
This pr replaces instances of ⬝ where · was probably meant.
All of the replacement is in comments, except for the file bench_summary.lean which is used for priting the github benchmark results. Since this file is about scientific notation of numbers, sure · was meant to be used, not a rectangle.
[Related](https://github.com/leanprover-community/mathlib4/pull/27399)
---
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[](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 |
289-12686 9 months ago |
311-75008 311 days ago |
7-54661 7 days |
| 27399 |
MoritzBeroRoos author:MoritzBeroRoos |
chore: replace every usage of ⬝ᵥ (with old \cdot) by ·ᵥ (with \centerdot) |
Discussion at [zulip](https://leanprover.zulipchat.com/#narrow/channel/270676-lean4/topic/.5Ccdot.20!.3D.20.5Ccenterdot).
Currently the abbreviations `\cdot` and `\centerdot` resolve to different, with the naked eye nearly undistinguishable symbols (despite the c in cdot surely standing for `center`..):
- `\cdot` gives ⬝ [U+2B1D](https://www.compart.com/en/unicode/U+2B1D) "Black Very Small Square"
- `\centerdot` gives · [U+00B7](https://www.compart.com/en/unicode/U+00B7) "Middle Dot"
Mathlib mostly uses the `\centerdot` variant, except for the dotProduct notation and some probably unsuspecting people wanting \centerdot but getting \cdot in their comments and 6 uses of a notation using the raw `\cdot` without any subscript at `Mathlib\Topology\Homotopy\Product.lean`.
This PR replaces the dot product `⬝ᵥ` with its `\centerdot` counterpart `·ᵥ`. The related PR [here](https://github.com/leanprover/vscode-lean4/pull/639) can then overwrite the `\cdot` abbreviation, to produce the same symbol as the `centerdot` abbreviation does.
---
[](https://gitpod.io/from-referrer/)
|
merge-conflict
new-contributor
|
133/133 |
Mathlib/Analysis/CStarAlgebra/CStarMatrix.lean,Mathlib/Analysis/InnerProductSpace/PiL2.lean,Mathlib/Combinatorics/Configuration.lean,Mathlib/Combinatorics/SimpleGraph/AdjMatrix.lean,Mathlib/Combinatorics/SimpleGraph/LapMatrix.lean,Mathlib/Data/Matrix/Block.lean,Mathlib/Data/Matrix/ConjTranspose.lean,Mathlib/Data/Matrix/Hadamard.lean,Mathlib/Data/Matrix/Mul.lean,Mathlib/Data/Matrix/Notation.lean,Mathlib/Data/Matrix/Reflection.lean,Mathlib/Data/Matrix/RowCol.lean,Mathlib/Data/Matrix/Vec.lean,Mathlib/LinearAlgebra/CrossProduct.lean,Mathlib/LinearAlgebra/Matrix/BilinearForm.lean,Mathlib/LinearAlgebra/Matrix/DotProduct.lean,Mathlib/LinearAlgebra/Matrix/Nondegenerate.lean,Mathlib/LinearAlgebra/Matrix/Orthogonal.lean,Mathlib/LinearAlgebra/Matrix/PosDef.lean,Mathlib/LinearAlgebra/Matrix/SchurComplement.lean,Mathlib/LinearAlgebra/Matrix/SesquilinearForm.lean,Mathlib/LinearAlgebra/Matrix/Trace.lean,Mathlib/LinearAlgebra/PerfectPairing/Matrix.lean,Mathlib/LinearAlgebra/Projectivization/Constructions.lean,Mathlib/Topology/Instances/Matrix.lean |
25 |
6 |
['MoritzBeroRoos', 'eric-wieser', 'github-actions', 'leanprover-community-bot-assistant'] |
nobody |
288-60918 9 months ago |
311-75009 311 days ago |
7-62439 7 days |
| 27479 |
iu-isgood author:iu-isgood |
feat: Abel's Binomial Theorem |
We have formalized Abel's Binomial Theorem as part of an REU project. There are a few remaining sorrys, but we will finish them soon. I will edit this PR message later according to community rules.
---
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[](https://gitpod.io/from-referrer/)
|
awaiting-author
t-data
new-contributor
|
326/0 |
Mathlib/Data/Nat/Choose/AbelBinomial.lean |
1 |
28 |
['ElifUskuplu', 'FrankieNC', 'github-actions', 'iu-isgood'] |
nobody |
288-60679 9 months ago |
317-58376 317 days ago |
0-237 3 minutes |
| 26462 |
PSchwahn author:PSchwahn |
feat(LinearAlgebra/Projection): add results about inverse of `Submodule.prodEquivOfIsCompl` |
Add two theorems `Submodule.prodEquivOfIsCompl_symm_apply` and `Submodule.prodEquivOfIsCompl_symm_add`, which are API for `Submodule.prodEquivOfIsCompl`.
We believe these theorems are useful; for example, we have used their statements in a [classification formalization project](https://github.com/LieLean/LowDimSolvClassification).
Co-authored by:
- [Viviana del Barco](https://github.com/vdelbarc)
- [Gustavo Infanti](https://github.com/GuQOliveira)
- [Exequiel Rivas](https://github.com/erivas)
---
I am not sure whether the `prodEquivOfIsCompl_symm_apply` theorem should be tagged with `@[simp]`; this might lead to confluence issues. Opinions are welcome!
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|
awaiting-author
t-algebra
new-contributor
label:t-algebra$ |
10/0 |
Mathlib/LinearAlgebra/Projection.lean |
1 |
7 |
['PSchwahn', 'github-actions', 'joelriou', 'kckennylau'] |
joelriou assignee:joelriou |
272-32047 8 months ago |
272-63150 272 days ago |
73-43082 73 days |
| 28623 |
gilesgshaw author:gilesgshaw |
feat(Logic/Basic): minor additions and simplification of proofs |
Add new theorems and simplify proofs.
Specifically, we add the family of related theorems `apply_dite_iff_exists`, `apply_dite_iff_forall`, `apply_ite_iff_and` and `apply_ite_iff_or`.
For each other 'family' of theorems in the file that is analogous to the above, we do the following
- Simplify proofs where possible, e.g. by appealing to the new theorems
- Complete the family, if any of the corresponding four are missing
- Rename to ensure consistency with the above pattern
---
|
merge-conflict
t-logic
new-contributor
|
83/55 |
Archive/Examples/IfNormalization/Result.lean,Archive/Examples/IfNormalization/WithoutAesop.lean,Mathlib/Algebra/ContinuedFractions/Computation/Translations.lean,Mathlib/Algebra/MvPolynomial/Variables.lean,Mathlib/Algebra/Notation/Indicator.lean,Mathlib/LinearAlgebra/Matrix/Rank.lean,Mathlib/Logic/Basic.lean,Mathlib/MeasureTheory/Measure/WithDensity.lean,Mathlib/SetTheory/Ordinal/Notation.lean |
9 |
12 |
['eric-wieser', 'gilesgshaw', 'github-actions', 'mathlib4-merge-conflict-bot', 'plp127'] |
awainverse assignee:awainverse |
271-66949 8 months ago |
271-66950 271 days ago |
10-61840 10 days |
| 25778 |
thefundamentaltheor3m author:thefundamentaltheor3m |
feat: Monotonicity of `setIntegral` for nonnegative functions |
This PR makes it easier to prove monotonicity of the Bochner integral on sets for nonnegative functions by removing the stronger assumption required by the general monotonicity lemma that both of the functions being compared must be integrable.
---
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|
awaiting-author
t-measure-probability
new-contributor
|
8/0 |
Mathlib/MeasureTheory/Integral/Bochner/Set.lean |
1 |
6 |
['RemyDegenne', 'github-actions', 'sgouezel', 'thefundamentaltheor3m'] |
nobody |
269-62671 8 months ago |
360-70509 360 days 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 |
256-66149 8 months ago |
268-72531 268 days ago |
0-976 16 minutes |
| 26178 |
ppls-nd-prs author:ppls-nd-prs |
feat(CategoryTheory/Limits): Fubini for products |
We show that the product of products is a product indexed by the sigma type.
---
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|
merge-conflict
awaiting-author
t-category-theory
new-contributor
|
17/0 |
Mathlib/CategoryTheory/Limits/Shapes/Products.lean |
1 |
6 |
['chrisflav', 'github-actions', 'leanprover-community-bot-assistant', 'ppls-nd-prs', 'robin-carlier'] |
nobody |
251-81193 8 months ago |
353-4193 353 days ago |
0-47665 13 hours |
| 28630 |
Antidite author:Antidite |
feat(Archive/Imo): right isosceles configuration in the complex plane |
feat(Archive/Imo): right isosceles configuration in the complex plane
This adds `Archive/Imo/Imo1975Q3.lean`, formalizing a triangle configuration
with points A=0, B=1, C=z and auxiliary points R, P, Q built via complex
rotations and sine-based scale factors.
Main results:
* `angle_and_distance`: ∠QRP = π/2 and dist Q R = dist R P.
* Key identity `QRP_rot90`: (Q z).z − R.z = e^{iπ/2} · ((P z).z − R.z).
Design/Style:
* Minimal imports; module docstring; semantic lemma names; all definitions and
theorems live under the namespace `IMO.TriangleConfig`.
Moves:
- (none)
Deletions:
- (none)
---
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[](https://gitpod.io/from-referrer/)
|
IMO
awaiting-author
new-contributor
|
196/0 |
Archive.lean,Archive/Imo/Imo1975Q3.lean |
2 |
36 |
['Antidite', 'LLaurance', 'github-actions', 'jsm28'] |
jsm28 assignee:jsm28 |
246-46939 8 months ago |
246-46939 246 days ago |
46-25852 46 days |
| 16773 |
arulandu author:arulandu |
feat(Probability/Distributions): formalize Beta distribution |
Formalize Beta distribution, using Gamma distribution as a reference. Added real-valued beta wrapper, in the manner of gamma. Thanks to @EtienneC30 for help with casting real <-> complex.
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
new-contributor
t-measure-probability
|
286/1 |
Mathlib.lean,Mathlib/Analysis/SpecialFunctions/Gamma/Beta.lean,Mathlib/Probability/Distributions/Beta.lean |
3 |
50 |
['EtienneC30', 'arulandu', 'github-actions', 'mathlib4-merge-conflict-bot', 'vihdzp'] |
arulandu assignee:arulandu |
240-56244 7 months ago |
632-53152 632 days ago |
0-2240 37 minutes |
| 30460 |
janithamalith author:janithamalith |
feat(Nat): add lemma nat_card_orbit_mul_card_stabilizer_eq_card_group |
Added a lemma `nat_card_orbit_mul_card_stabilizer_eq_card_group` which is the Nat.card version of MulAction.card_orbit_mul_card_stabilizer_eq_card_group
---
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[](https://gitpod.io/from-referrer/)
|
awaiting-author
t-group-theory
new-contributor
|
6/0 |
Mathlib/GroupTheory/GroupAction/CardCommute.lean |
1 |
17 |
['github-actions', 'kckennylau', 'plp127', 'tb65536'] |
tb65536 assignee:tb65536 |
230-66494 7 months ago |
230-66494 230 days ago |
8-8414 8 days |
| 25225 |
xcloudyunx author:xcloudyunx |
feat(Combinatorics/SimpleGraph): Eulerian walk in connected graph contains all vertices |
---
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[](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 |
229-30026 7 months ago |
229-30026 229 days ago |
148-3286 148 days |
| 30828 |
DeVilhena-Paulo author:DeVilhena-Paulo |
feat: implementation of `Finmap.merge` |
The main contribution of this pull request is the implementation of a `merge` function for finite maps (`Finmap`). The construction relies on the definition of a `merge` function for association lists (`AList`).
There is also a side (unrelated) contribution on `Mathlib/Data/List/Permutation.lean`: the addition of a theorem about the permutation of a list with a head element (that is, a list of the form `a :: l`).
---
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|
t-data
new-contributor
|
449/3 |
Mathlib/Data/Finmap.lean,Mathlib/Data/List/AList.lean,Mathlib/Data/List/Permutation.lean,Mathlib/Data/List/Sigma.lean |
4 |
1 |
['github-actions'] |
nobody |
227-53458 7 months ago |
227-53529 227 days ago |
0-80 1 minute |
| 28676 |
sun123zxy author:sun123zxy |
feat(NumberTheory/ArithmeticFunction): wrap `Nat.totient` as an `ArithmeticFunction` |
This wraps the Euler's totient function `Nat.totient` into a new `ArithmeticFunction` `ϕ`, with some basic identities such as `ϕ * ζ = id` and `μ * id = ϕ.`
---
We use the notation `ϕ` to distinguish from `Nat.totient`'s notation `φ`, however this might be controversial. Suggestions are welcome!
[](https://gitpod.io/from-referrer/)
|
t-number-theory
new-contributor
large-import
merge-conflict
awaiting-author
|
45/5 |
Mathlib/NumberTheory/ArithmeticFunction.lean |
1 |
19 |
['MichaelStollBayreuth', 'SnirBroshi', 'b-mehta', 'eric-wieser', 'github-actions', 'mathlib4-merge-conflict-bot', 'riccardobrasca', 'sun123zxy'] |
MichaelStollBayreuth assignee:MichaelStollBayreuth |
222-85897 7 months ago |
238-60573 238 days ago |
47-58311 47 days |
| 30299 |
franv314 author:franv314 |
feat(Topology/Instances): Cantor set |
Prove that the Cantor set has empty interior and the cardinality of the continuum as discussed on [Zulip](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/A.20few.20results.20about.20the.20Cantor.20set/with/543560670)
Moves:
- Mathlib.Topology.Instances.CantorSet -> Mathlib.Topology.Instances.CantorSet.Basic
---
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|
new-contributor
merge-conflict
file-removed
awaiting-author
t-topology
|
355/2 |
Mathlib.lean,Mathlib/Topology/Instances/CantorSet/Basic.lean,Mathlib/Topology/Instances/CantorSet/Cardinality.lean,Mathlib/Topology/Instances/CantorSet/Lemmas.lean |
4 |
5 |
['github-actions', 'grunweg', 'kckennylau', 'mathlib4-merge-conflict-bot'] |
nobody |
222-77627 7 months ago |
243-60256 243 days ago |
0-2409 40 minutes |
| 30303 |
franv314 author:franv314 |
chore(Topology/Instances): add deprecated module |
Add deprecated module to moved Cantor set file.
---
- [ ] depends on: #30299
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|
merge-conflict
blocked-by-other-PR
new-contributor
|
486/124 |
Mathlib.lean,Mathlib/Topology/Instances/CantorSet.lean,Mathlib/Topology/Instances/CantorSet/Basic.lean,Mathlib/Topology/Instances/CantorSet/Cardinality.lean,Mathlib/Topology/Instances/CantorSet/Lemmas.lean |
5 |
3 |
['github-actions', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
nobody |
222-77625 7 months ago |
243-58125 243 days ago |
0-340 5 minutes |
| 29871 |
zach1502 author:zach1502 |
feat(Matrix/Transvection): Gauss pivot determinant identity and pivot preservation |
This PR adds two lemmas formalizing standard Gaussian pivot identities:
* `Matrix.Transvection.listTransvecCol_mul_mul_listTransvecRow_pivot`:
After applying the canonical left/right transvection products that clear the last column and row,
the pivot (bottom-right) entry of a matrix is unchanged.
Marked `@[simp]`.
* `Matrix.Transvection.det_eq_detTopLeft_mul_pivot`:
If the pivot entry is nonzero, then the determinant of the matrix factors as
the determinant of the top-left block times the pivot entry, after performing
the canonical transvections.
This is the usual Gauss–pivot determinant identity.
* Added simple usage tests in `MathlibTest/matrix.lean` to check that the new lemmas
are usable by `simp`/`simpa`.
---
---
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[](https://gitpod.io/from-referrer/)
|
awaiting-author
t-algebra
new-contributor
label:t-algebra$ |
94/0 |
Mathlib/LinearAlgebra/Matrix/Transvection.lean,MathlibTest/matrix.lean |
2 |
3 |
['github-actions', 'riccardobrasca', 'zach1502'] |
nobody |
216-77148 7 months ago |
216-77148 216 days ago |
41-53449 41 days |
| 30158 |
nicolaviolette author:nicolaviolette |
feat: combinatorics simplegraph basic |
---
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[](https://gitpod.io/from-referrer/)
|
awaiting-author
t-combinatorics
new-contributor
|
9/4 |
Mathlib/Combinatorics/SimpleGraph/Basic.lean |
1 |
3 |
['b-mehta', 'github-actions'] |
b-mehta assignee:b-mehta |
216-10278 7 months ago |
216-10278 216 days ago |
31-69826 31 days |
| 26901 |
5hv5hvnk author:5hv5hvnk |
feat: a simproc version of `compute_degree` |
Wrap `compute_degree` in a simproc for use by simp.
Closes #22219.
--- |
awaiting-CI
new-contributor
merge-conflict
awaiting-author
t-meta
|
198/0 |
Mathlib.lean,Mathlib/Tactic/Simproc/PolynomialDegree.lean,MathlibTest/polynomial_degree_simproc.lean |
3 |
19 |
['5hv5hvnk', 'YaelDillies', 'adomani', 'github-actions', 'mathlib4-merge-conflict-bot'] |
nobody |
213-56946 7 months ago |
331-73940 331 days ago |
2-71043 2 days |
| 30150 |
imbrem author:imbrem |
feat(CategoryTheory/Monoidal): to_additive for MonoidalCategory |
Add `AddMonoidalCategory`, the additive version of `MonoidalCategory`.
To get this to work, I needed to _remove_ the `to_additive` attributes in `Discrete.lean`, since existing code relies on the `AddMonoid M → MonoidalCategory M` instance. For now, we simply implement the additive variants by hand instead.
---
As discussed in #28718; I added an `AddMonoidalCategory` struct and tagged `MonoidalCategory` with `to_additive`, along with the lemmas in `Category.lean`.
I think this is the right approach, since under this framework the "correct" additive version of `Discrete.lean` would be mapping an `AddMonoid` to an `AddMonoidalCategory`.
Next steps would be to:
- Make `monoidal_coherence` and `coherence` support `AddMonoidalCategory`
- Add `CocartesianMonoidalCategory` extending `AddMonoidalCategory`
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|
t-category-theory
large-import
new-contributor
merge-conflict
awaiting-zulip
t-meta
|
444/125 |
Mathlib/CategoryTheory/Monoidal/Category.lean,Mathlib/CategoryTheory/Monoidal/Discrete.lean,Mathlib/Tactic/ToAdditive/GuessName.lean |
3 |
22 |
['JovanGerb', 'YaelDillies', 'github-actions', 'imbrem', 'mathlib4-merge-conflict-bot'] |
nobody |
207-19937 6 months ago |
246-85003 246 days ago |
1-160 1 day |
| 15651 |
TpmKranz author:TpmKranz |
feat(Computability/NFA): operations for Thompson's construction |
Lays the groundwork for a proof of equivalence of RE and NFA, w.r.t. described language. Actual connection to REs comes later, after the groundwork for the opposite direction has been laid.
Third chunk of #12648
---
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[](https://gitpod.io/from-referrer/)
|
new-contributor
t-computability
merge-conflict
awaiting-author
awaiting-zulip
|
307/5 |
Mathlib/Computability/NFA.lean |
1 |
27 |
['TpmKranz', 'YaelDillies', 'dupuisf', 'github-actions', 'leanprover-community-bot-assistant', 'meithecatte', 'rudynicolop'] |
nobody |
202-37069 6 months ago |
621-64457 621 days ago |
45-84611 45 days |
| 15649 |
TpmKranz author:TpmKranz |
feat(Computability): introduce Generalised NFA as bridge to Regular Expression |
Lays the groundwork for a proof of equivalence of NFA and RE, w.r.t. described language. Actual connection to NFA comes later, after the groundwork for the opposite direction has been laid.
Second chunk of #12648
---
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[](https://gitpod.io/from-referrer/)
|
new-contributor
t-computability
merge-conflict
awaiting-author
awaiting-zulip
|
298/0 |
Mathlib.lean,Mathlib/Computability/GNFA.lean,Mathlib/Computability/Language.lean,Mathlib/Computability/RegularExpressions.lean,docs/references.bib |
5 |
7 |
['github-actions', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot', 'meithecatte', 'trivial1711'] |
nobody |
201-53310 6 months ago |
547-16840 547 days ago |
23-54870 23 days |
| 5919 |
MithicSpirit author:MithicSpirit |
feat: implement orthogonality for AffineSubspace |
Define `AffineSubspace.orthogonal` and `AffineSubspace.IsOrtho`, as well as develop an API emulating that of `Submodule.orthogonal` and `Submodule.IsOrtho`, respectively. Additionally, provide some relevant lemmas exclusive to affine subspaces, which are mostly to do with the relationship between orthogonality and `AffineSubspace.Parallel`.
Closes #5539
---
Still WIP as I need to add more docstrings as well as notations for the new definitions.
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|
WIP
new-contributor
merge-conflict
help-wanted
t-analysis
|
287/0 |
Mathlib.lean,Mathlib/Analysis/InnerProductSpace/AffineSubspace.lean |
2 |
7 |
['MithicSpirit', 'eric-wieser', 'github-actions', 'leanprover-community-bot-assistant', 'mathlib4-merge-conflict-bot'] |
MithicSpirit assignee:MithicSpirit |
201-4767 6 months ago |
884-29662 884 days ago |
0-433 7 minutes |
| 13442 |
dignissimus author:dignissimus |
feat: mabel tactic for multiplicative abelian groups |
Mabel tactic for multiplicative abelian groups (#10361)
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
merge-conflict
modifies-tactic-syntax
awaiting-author
help-wanted
t-meta
|
439/0 |
Mathlib.lean,Mathlib/Tactic.lean,Mathlib/Tactic/MAbel.lean,MathlibTest/mabel.lean |
4 |
11 |
['BoltonBailey', 'dignissimus', 'github-actions', 'joneugster', 'kbuzzard', 'mathlib4-merge-conflict-bot'] |
joneugster assignee:joneugster |
201-4503 6 months ago |
650-82989 650 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.
---
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This PR is part 3 out of 4 of a proof of `isDedekindDomain_iff_isDedekindDomainDvr`.
Part 4 is available here: #14242
- [x] depends on: #14099 Part 1
- [x] depends on: #14216 Part 2
[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-algebra
new-contributor
label:t-algebra$ |
230/0 |
Mathlib.lean,Mathlib/RingTheory/FractionalIdeal/LocalizedAtPrime.lean,Mathlib/RingTheory/Localization/Basic.lean |
3 |
22 |
['Vierkantor', 'YaelDillies', 'github-actions', 'js2357', 'kbuzzard', 'leanprover-community-bot-assistant', 'leanprover-community-mathlib4-bot', 'mathlib4-merge-conflict-bot'] |
Vierkantor assignee:Vierkantor |
201-4501 6 months ago |
649-64724 649 days ago |
6-3525 6 days |
| 15224 |
AnthonyBordg author:AnthonyBordg |
feat(CategoryTheory/Sites): covering families and their associated Grothendieck topology |
Define covering families on a category and their associated Grothendieck topology by using the API for `Coverage`.
Give an explicit characterization of the covering sieves of the said topology.
---
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|
merge-conflict
awaiting-author
t-category-theory
new-contributor
|
112/0 |
Mathlib.lean,Mathlib/CategoryTheory/Sites/CoveringFamilies.lean |
2 |
21 |
['AnthonyBordg', 'adamtopaz', 'dagurtomas', 'github-actions', 'joelriou', 'mathlib4-merge-conflict-bot'] |
nobody |
201-4372 6 months ago |
676-57003 676 days ago |
1-48443 1 day |
| 17587 |
kmill author:kmill |
feat: Sym2-as-Finset theory |
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-data
new-contributor
|
105/3 |
Mathlib/Combinatorics/SimpleGraph/Basic.lean,Mathlib/Combinatorics/SimpleGraph/Finite.lean,Mathlib/Data/Sym/Sym2.lean,Mathlib/RingTheory/Polynomial/Vieta.lean |
4 |
11 |
['FordUniver', 'YaelDillies', 'github-actions', 'kmill', 'mathlib4-merge-conflict-bot'] |
nobody |
201-4218 6 months ago |
unknown |
0-0 0 seconds |
| 18630 |
tomaz1502 author:tomaz1502 |
feat(Computability.Timed): Formalization of runtime complexity of List.mergeSort |
This PR adds the formalization of the runtime complexity of the merge sort algorithm, defined in `Data/List/Sort`.
Requires: https://github.com/leanprover-community/mathlib4/pull/15451
References:
- Previous PR on mathlib3: https://github.com/leanprover-community/mathlib3/pull/14494/
- First discussion on Zulip: https://leanprover.zulipchat.com/#narrow/stream/113488-general/topic/BSc.20Final.20Project/near/220647062
- Second disussion on Zulip: https://leanprover.zulipchat.com/#narrow/stream/113488-general/topic/Formalization.20of.20Runtime.20Complexity.20of.20Sorting.20Algorithms/near/284184450
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-computability
new-contributor
|
526/0 |
Mathlib.lean,Mathlib/Computability/Timed/InsertionSort.lean,Mathlib/Computability/Timed/Merge.lean,Mathlib/Computability/Timed/MergeSort.lean,Mathlib/Computability/Timed/Split.lean |
5 |
9 |
['github-actions', 'mathlib4-merge-conflict-bot'] |
nobody |
201-4216 6 months ago |
579-56019 579 days ago |
0-77273 21 hours |
| 20648 |
anthonyde author:anthonyde |
feat: formalize regular expression -> εNFA |
The file `Computability/RegularExpressionsToEpsilonNFA.lean` contains a formal definition of Thompson's method for constructing an `εNFA` from a `RegularExpression` and a proof of its correctness.
---
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- [x] depends on: #20644
- [x] depends on: #20645
[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-computability
awaiting-zulip
new-contributor
|
490/0 |
Mathlib.lean,Mathlib/Computability/RegularExpressionsToEpsilonNFA.lean,docs/references.bib |
3 |
7 |
['anthonyde', 'github-actions', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot', 'meithecatte', 'qawbecrdtey'] |
nobody |
201-4078 6 months ago |
398-37007 398 days ago |
75-77754 75 days |
| 21903 |
yhtq author:yhtq |
feat: add from/toList between `FreeSemigroup` and `List` with relative theorems |
Add from/toList between `FreeSemigroup` and `List` with relative theorems, as well as an incidental definition of lexicographic order on `FreeSemigroup`.
---
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[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
awaiting-CI
large-import
merge-conflict
label:t-algebra$ |
169/0 |
Mathlib/Algebra/Free.lean |
1 |
12 |
['YaelDillies', 'github-actions', 'mathlib4-merge-conflict-bot'] |
nobody |
201-3938 6 months ago |
427-74293 427 days ago |
50-9294 50 days |
| 22159 |
shetzl author:shetzl |
feat: add definition of pushdown automata |
Add the definition of pushdown automata and their two acceptance conditions: acceptance based on empty stack and acceptance based on final state.
Co-authored-by: Tobias Leichtfried <tobias.leichtfried@tuwien.ac.at>
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-computability
awaiting-author
new-contributor
|
70/0 |
Mathlib.lean,Mathlib/Computability/PDA.lean |
2 |
35 |
['YaelDillies', 'github-actions', 'madvorak', 'mathlib4-merge-conflict-bot', 'shetzl'] |
nobody |
201-3932 6 months ago |
447-84345 447 days ago |
20-81245 20 days |
| 22302 |
658060 author:658060 |
feat: add `CategoryTheory.Topos.Power` |
This is a continuation of #21281 with the end goal of defining topoi in Mathlib. It introduces the notion of a power object in a category with a subobject classifier, which is a special case of an internal hom.
The definition `HasPowerObjects C` contained in this PR is all that remains before `IsTopos C` can be defined.
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-category-theory
new-contributor
|
312/0 |
Mathlib.lean,Mathlib/CategoryTheory/Topos/Power.lean |
2 |
3 |
['github-actions', 'joelriou', 'mathlib4-merge-conflict-bot'] |
b-mehta assignee:b-mehta |
201-3923 6 months ago |
467-37925 467 days ago |
0-1528 25 minutes |
| 22790 |
mhk119 author:mhk119 |
feat: Extend `taylor_mean_remainder_lagrange` to `x < x_0` |
The `taylor_mean_remainder_lagrange` theorem has the assumption that $x_0 < x$. In many applications, we need $x < x_0$ and one cannot use the current version to obtain this (see [zulip](https://leanprover.zulipchat.com/#narrow/channel/116395-maths/topic/Taylor's.20theorem)). This PR introduces a set of theorems that push negations through Taylor expansions so that one can extend `taylor_mean_remainder_lagrange` to the case when $x < x_0$. These theorems should also be useful elsewhere since they are quite general. |
merge-conflict
awaiting-author
t-analysis
new-contributor
|
111/1 |
Mathlib/Analysis/Calculus/Deriv/Basic.lean,Mathlib/Analysis/Calculus/IteratedDeriv/Lemmas.lean,Mathlib/Analysis/Calculus/Taylor.lean |
3 |
13 |
['Paul-Lez', 'github-actions', 'grunweg', 'mathlib4-merge-conflict-bot', 'mhk119'] |
nobody |
201-3910 6 months ago |
429-19027 429 days ago |
23-16830 23 days |
| 24333 |
xcloudyunx author:xcloudyunx |
feat(Combinatorics/SimpleGraph): cycle graph implementation for generic vertex types |
The existing `cycleGraph` implementation under Combinatorics/SimpleGraph/Circulant.lean only operates over `Fin n`. This PR implements a cycle graph implementation over any generic vertex type.
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-combinatorics
new-contributor
|
187/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Cycle.lean |
2 |
42 |
['IvanRenison', 'github-actions', 'mathlib4-merge-conflict-bot', 'vlad902'] |
kmill assignee:kmill |
201-3757 6 months ago |
287-2338 287 days ago |
123-18878 123 days |
| 25739 |
literandltx author:literandltx |
feat(NumberTheory/LegendreSymbol): Add sqrt‐of‐residue theorems for p=4k+3 and p=8k+5 |
Add a new file `QuadraticResidueRoots.lean` under `Mathlib/NumberTheory/LegendreSymbol/` that proves two explicit “square-root of quadratic residue” theorems for primes of the specific form.
- **`exists_sqrt_of_residue_mod4_eq3`** for primes `p = 4*k + 3`
- **`exists_sqrt_of_residue_mod8_eq5`** for primes `p = 8*k + 5`
It also introduces the helper lemmas `euler_criterion_traditional` and `legendreSym.at_two_mod8_eq_5`. Import lines in `Mathlib.lean` and `Mathlib/NumberTheory/LegendreSymbol/Basic.lean` have been updated accordingly.
|
merge-conflict
awaiting-author
t-number-theory
new-contributor
|
217/0 |
Mathlib.lean,Mathlib/NumberTheory/LegendreSymbol/Basic.lean,Mathlib/NumberTheory/LegendreSymbol/QuadraticReciprocity.lean,Mathlib/NumberTheory/LegendreSymbol/QuadraticResidueRoots.lean |
4 |
3 |
['github-actions', 'kckennylau', 'mathlib4-merge-conflict-bot'] |
literandltx assignee:literandltx |
201-3608 6 months ago |
343-27171 343 days ago |
17-63153 17 days |
| 26165 |
oliver-butterley author:oliver-butterley |
feat(MeasureTheory.VectorMeasure): add lemma which shows that variation of a `ℝ≥0∞` VectorMeasure is equal to itself |
Add a lemma for the variation of a VectorMeasure which tells that if `μ` is `VectorMeasure X ℝ≥0∞` then ``μ.ennrealVariation = μ`.
Co-authored-by: @yoh-tanimoto
---
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[](https://gitpod.io/from-referrer/)
|
t-measure-probability
awaiting-author
merge-conflict
blocked-by-other-PR
new-contributor
|
467/0 |
Mathlib/MeasureTheory/VectorMeasure/Variation/Basic.lean,Mathlib/Order/Partition/Finpartition.lean |
3 |
9 |
['github-actions', 'leanprover-radar', 'mathlib4-merge-conflict-bot', 'oliver-butterley', 'yoh-tanimoto'] |
nobody |
201-3419 6 months ago |
337-84774 337 days ago |
15-66224 15 days |
| 26300 |
igorkhavkine author:igorkhavkine |
feat(Analysis/Calculus/FDeriv): continuous differentiability from continuous partial derivatives on an open domain in a product space |
If a function `f : E × F → G` is continuously differentiable, then its partial derivatives along `E` and `F` are also continuous. The non-trivial converse implication holds when the partial derivatives are continuous on an open domain, and they can be added together to give the total derivative of `f`. See this [#mathlib4 > Partial derivatives @ 💬](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Partial.20derivatives/near/520995477) and the containing thread for some discussion. The PR creates a new import (`Mathlib.Analysis.Calculus.FDeriv.Partial`), where other results about partial derivatives could go in the future.
---
*this is the migration of #25304 to the PR-from-fork workflow*
- [x] depends on: #25564
- [x] depends on: #26273
[](https://gitpod.io/from-referrer/)
|
WIP
new-contributor
awaiting-author
t-analysis
merge-conflict
|
468/0 |
Mathlib/Analysis/Calculus/FDeriv/Partial.lean |
3 |
23 |
['YaelDillies', 'agjftucker', 'github-actions', 'igorkhavkine', 'mathlib-merge-conflicts', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot', 'sgouezel'] |
sgouezel assignee:sgouezel |
201-3396 6 months ago |
297-51786 297 days ago |
44-77029 44 days |
| 26594 |
metakunt author:metakunt |
feat(Algebra/Polynomial/ZMod): Add Polynomial.equiv_of_nat_of_polynomial_zmod |
This adds an explicit bijection between the naturals and $$\mathbb{Z}/n\mathbb{Z}[X]$$ in a canonical way.
---
I feel that some API is missing to make the theorem shorter, I have no idea what lemmas to extract though.
Also I don't know when to use spaces and when not, so I did it best effort.
|
merge-conflict
awaiting-author
t-algebra
new-contributor
label:t-algebra$ |
465/0 |
Mathlib.lean,Mathlib/Algebra/Polynomial/ZMod.lean |
2 |
3 |
['Ruben-VandeVelde', 'github-actions', 'mathlib4-merge-conflict-bot'] |
nobody |
201-3248 6 months ago |
316-47006 316 days ago |
25-5233 25 days |
| 26757 |
fweth author:fweth |
feat(CategoryTheory/Topos): define elementary topos |
This commit begins the formalization of the notion of an *elementary topos*, following the definition in \[Mac Lane & Moerdijk, *Sheaves in Geometry and Logic* (1992), Ch. IV, Section 1]. It introduces the file `Mathlib/CategoryTheory/Topos/Basic.lean`, which currently includes:
* The definition of an elementary topos.
* Proof that the power object map is a functor
* Theorem about pullbacks of characterstic maps
Subobject classifiers, which are used in the definition, have already been defined in `CategoryTheory/Topos/Classifier.lean`
Work in progress: further formalization of the section is planned.
Questions:
* Should the definition of power objects be separated into its own file/module, perhaps under `CategoryTheory/Topos/PowerObject.lean`?
* Is the notation `P` / `P_morph` / `P_functor` for the power object functor on objects / morphisms / total acceptable?
* Should the comments and docstrings rather use the notation from the book, where `g ∘ f` denotes arrow composition from righ to left, or the Lean variant `f ≫ g`?
Klaus Gy klausgy@gmail.com
---
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|
merge-conflict
awaiting-author
t-category-theory
new-contributor
|
401/66 |
Mathlib.lean,Mathlib/CategoryTheory/Closed/PowerObjects.lean,Mathlib/CategoryTheory/Limits/Shapes/BinaryProducts.lean,Mathlib/CategoryTheory/Limits/Shapes/Equalizers.lean,Mathlib/CategoryTheory/Limits/Shapes/Pullback/CommSq.lean,Mathlib/CategoryTheory/Limits/Shapes/Pullback/Equalizer.lean,Mathlib/CategoryTheory/Monoidal/Cartesian/Basic.lean,Mathlib/CategoryTheory/Subobject/Basic.lean,Mathlib/CategoryTheory/Topos/Classifier.lean |
9 |
17 |
['fweth', 'github-actions', 'joelriou', 'leanprover-community-bot-assistant', 'mathlib4-merge-conflict-bot'] |
joelriou assignee:joelriou |
201-3243 6 months ago |
230-56262 230 days ago |
62-6838 62 days |
| 27155 |
Pjotr5 author:Pjotr5 |
feat: Shearer's bound on the independence number of triangle free graphs |
I added the file IndependenceNumber.lean to the Mathlib.Combinatorics.SimpleGraph.Triangle folder. It contains a proof of a theorem by Shearer on the independence number of triangle-free graphs . I was told this might be useful to add to Mathlib a Zullip thread linked [here](https://leanprover.zulipchat.com/#narrow/channel/217875-Is-there-code-for-X.3F/topic/Convexity.20of.20a.20specific.20function/with/510469526).
I tried to comply as much as I could with the Mathlib style guide, but I realise that there is probably still a significant amount of editing to be done. For one thing: there are probably some lemmas and theorems in there that might be better suited in other files, but since this is my first PR I though I would all put it in one file before starting to edit a bunch of files.
I was also advised to split up the file into multiple smaller PRs, but since everything is basically serving this one proof I could not really find a natural way to do that.
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-combinatorics
new-contributor
|
1266/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Triangle/IndependenceNumber.lean |
2 |
10 |
['Pjotr5', 'github-actions', 'grunweg', 'mathlib4-merge-conflict-bot'] |
nobody |
201-3206 6 months ago |
288-59915 288 days ago |
39-17587 39 days |
| 27753 |
YunkaiZhang233 author:YunkaiZhang233 |
feat(CategoryTheory): implemented proofs for factorisation categories being equivalent to iterated comma categories in two ways |
---
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Completed one of the tasks in TODOs, shown and implemented the details for (X/C)/f ≌ Factorisation f ≌ f/(C/Y).
This is migrated from my previous PR #22390
[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-category-theory
new-contributor
|
70/1 |
Mathlib/CategoryTheory/Category/Factorisation.lean |
1 |
13 |
['YunkaiZhang233', 'b-mehta', 'github-actions', 'mathlib4-merge-conflict-bot', 'robin-carlier'] |
nobody |
201-3051 6 months ago |
311-60614 311 days ago |
0-3448 57 minutes |
| 27850 |
fyqing author:fyqing |
feat: 0-dimensional manifolds are discrete and countable |
This is the converse direction of the classification of 0-dimensional manifolds. The other direction was shown in #22105.
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-differential-geometry
new-contributor
|
80/0 |
Mathlib.lean,Mathlib/Geometry/Manifold/ZeroDim.lean |
2 |
14 |
['fyqing', 'github-actions', 'grunweg', 'mathlib4-merge-conflict-bot', 'tb65536'] |
grunweg assignee:grunweg |
201-3049 6 months ago |
310-35276 310 days ago |
0-5718 1 hour |
| 28125 |
nonisomorphiclinearmap author:nonisomorphiclinearmap |
feat(Combinatorics): basic definition of simplicial complexes |
This PR introduces the basic definition of a finite (abstract) simplicial complex, located in Mathlib/Combinatorics/SimplicialComplex/Basic.lean.
---
This is our first contribution to mathlib. This work was done as part of the Fields Institute Summer Undergraduate Program on formalization in topological combinatorics. Eventually, we aim to formalize Lovasz's proof of the Kneser Conjecture and this is a small stepping stone in that direction. Some other commits will shortly depend on this one.
We would like to acknowledge the Fields Institute for Research in Mathematical Sciences for their sponsorship. We would also like to thank our supervisors, Professor Chris Kapulkin and Mr. Daniel Carranza, for their guidance and support throughout this project. We would also like to thank our group members Tom Lindquist and Quang Minh Nguyen for our fruitful discussions. |
merge-conflict
t-combinatorics
new-contributor
|
374/0 |
Mathlib.lean,Mathlib/Combinatorics/SimplicialComplex/Basic.lean,Mathlib/Combinatorics/SimplicialComplex/Category.lean,Mathlib/Combinatorics/SimplicialComplex/FacePoset.lean,Mathlib/Combinatorics/SimplicialComplex/Hom.lean |
5 |
2 |
['github-actions', 'mathlib4-merge-conflict-bot'] |
awainverse assignee:awainverse |
201-2917 6 months ago |
201-2918 201 days ago |
99-64548 99 days |
| 28530 |
nonisomorphiclinearmap author:nonisomorphiclinearmap |
feat(Combinatorics/SimplicialComplex/Topology): add standard simplices and geometric realisation (colimit + functoriality) |
Introduce the standard simplex on a finite vertex set and build the geometric realisation |X| of a simplicial complex. Prove that |X| is the colimit of the face diagram δ_X : X.faces ⥤ TopCat, and define the induced map on realisations |φ| : |X| ⟶ |Y| for a simplicial map φ. Show that the abstract map from colimit functoriality agrees with the concrete push-forward of barycentric coordinates. Package these into a functor SimplicialComplexCat ⥤ TopCat.
---
This is our first contribution to mathlib. This work was done as part of the Fields Institute Summer Undergraduate Program on formalization in topological combinatorics. Eventually, we aim to formalize Lovasz's proof of the Kneser Conjecture and this lays the groundwork to do this.
We would like to acknowledge the Fields Institute for Research in Mathematical Sciences for their sponsorship. We would also like to thank our supervisors, Professor Chris Kapulkin and Mr. Daniel Carranza, for their guidance and support throughout this project. I would also like to thank our group members Sebastian Kumar, Tom Lindquist and Quang Minh Nguyen for our fruitful discussions.
- [ ] depends on: #28125 |
merge-conflict
blocked-by-other-PR
t-combinatorics
new-contributor
|
1826/0 |
Mathlib.lean,Mathlib/Combinatorics/SimplicialComplex/Basic.lean,Mathlib/Combinatorics/SimplicialComplex/Category.lean,Mathlib/Combinatorics/SimplicialComplex/FacePoset.lean,Mathlib/Combinatorics/SimplicialComplex/Hom.lean,Mathlib/Combinatorics/SimplicialComplex/Topology/GeomReal/Basic.lean,Mathlib/Combinatorics/SimplicialComplex/Topology/GeomReal/Colimit.lean,Mathlib/Combinatorics/SimplicialComplex/Topology/GeomReal/Diagram.lean,Mathlib/Combinatorics/SimplicialComplex/Topology/GeomReal/Functor.lean,Mathlib/Combinatorics/SimplicialComplex/Topology/GeomReal/Map.lean,Mathlib/Combinatorics/SimplicialComplex/Topology/Simplex.lean,Mathlib/Combinatorics/SimplicialComplex/Topology/SimplexMap.lean |
12 |
3 |
['github-actions', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
nobody |
201-2903 6 months ago |
295-43131 295 days ago |
0-591 9 minutes |
| 28871 |
JaafarTanoukhi author:JaafarTanoukhi |
feat(Combinatorics/Digraph): Tournaments |
Define orientations and tournaments. Related to #26771.
Co-authored-by: Rida Hamadani <mridahamadani@gmail.com>
---
<!-- The text above the `---` will become the commit message when your
PR is merged. Please leave a blank newline before the `---`, otherwise
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-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 |
201-2764 6 months ago |
201-2765 201 days ago |
86-44787 86 days |
| 29947 |
JaafarTanoukhi author:JaafarTanoukhi |
feat(Combinatorics/Digraph): Maps |
Ported `SimpleGraph/Maps.lean` to `Digraph/Maps.lean` for future PRs related to issue #[26771](https://github.com/leanprover-community/mathlib4/issues/26771)
---
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|
merge-conflict
t-combinatorics
new-contributor
|
476/0 |
Mathlib.lean,Mathlib/Combinatorics/Digraph/Maps.lean |
2 |
2 |
['github-actions', 'mathlib4-merge-conflict-bot'] |
awainverse assignee:awainverse |
201-2130 6 months ago |
201-2131 201 days ago |
54-82760 54 days |
| 14704 |
Command-Master author:Command-Master |
feat(FieldTheory): define typeclass for simple extensions, and prove some properties |
Define `SimpleExtension F K`, which says that `K` is a simple field extension of `F`, and show that together with transcendentality it implies `IsFractionRing F[X] K`.
---
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|
WIP
t-algebra
new-contributor
merge-conflict
awaiting-author
label:t-algebra$ |
120/0 |
Mathlib.lean,Mathlib/FieldTheory/SimpleExtension.lean |
2 |
19 |
['Command-Master', 'acmepjz', 'github-actions', 'leanprover-community-mathlib4-bot', 'mathlib4-merge-conflict-bot', 'tb65536'] |
nobody |
200-85362 6 months ago |
644-78476 644 days ago |
48-65595 48 days |
| 31590 |
SuccessMoses author:SuccessMoses |
chore: tag `commutatorElement_def` with `simp` |
---
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|
awaiting-author
t-algebra
new-contributor
merge-conflict
label:t-algebra$ |
1/0 |
Mathlib/Algebra/Group/Commutator.lean |
1 |
3 |
['github-actions', 'grunweg', 'mathlib-merge-conflicts'] |
nobody |
200-63237 6 months ago |
200-63237 200 days ago |
6-8213 6 days |
| 11021 |
jstoobysmith author:jstoobysmith |
feat(AlgebraicTopology): add join of augmented SSets |
This pull-request adds the definition of the join of augmented SSets defined as contravariant functors from `WithInitial SimplexCategory` to `Type u`. In addition it shows that the join of two standard augmented SSets is again an augmented SSets.
From this the definition of the join of simplicial sets should follow easily.
To aid the above theory, an api for `WithInitial SimplexCategory` has been created, with the notion of the `join` and `split` (forming a sort of inverse to join) of objects in this category are defined.
---
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|
merge-conflict
WIP
t-algebraic-topology
new-contributor
|
2137/1 |
.gitignore,Mathlib.lean,Mathlib/AlgebraicTopology/Join.lean,Mathlib/AlgebraicTopology/SimplexCategory.lean,Mathlib/AlgebraicTopology/SimplexCategoryWithInitial.lean,Mathlib/AlgebraicTopology/SimplicialSet.lean |
6 |
47 |
['github-actions', 'jcommelin'] |
nobody |
200-62378 6 months ago |
830-29823 830 days ago |
1-20227 1 day |
| 18626 |
hannahfechtner author:hannahfechtner |
feat: define Artin braid groups |
Define the Artin braid group on infinitely many strands. Includes a toGroup function which defines a function out of the braid group to any other group (given a function which satisfies the braid relations)
(more to come in this file; next up: Artin braid groups on finitely many strands)
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-algebra
new-contributor
label:t-algebra$ |
91/0 |
Mathlib.lean,Mathlib/GroupTheory/SpecificGroups/BraidGroup/Basic.lean |
2 |
22 |
['github-actions', 'hannahfechtner', 'jcommelin', 'joelriou'] |
nobody |
200-62225 6 months ago |
563-69104 563 days ago |
15-38362 15 days |
| 20029 |
FrederickPu author:FrederickPu |
feat(Tactic/simps): allow for Config attributes to be set directly |
Allow for Config attributes to be set directly when using initialize_simp_projection as per issue #19895
Basically modified initialize_simp_projection so that the user has the option of specifying a tuple of config option values.
Ex:
```
initialize_simp_projection MulEquiv (toFun → apply, invFun → symm_apply) (fullyApplied := false)
```
These config options are then converted into projections.
---
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|
merge-conflict
WIP
new-contributor
t-meta
|
34/4 |
Mathlib/Tactic/Simps/Basic.lean |
1 |
11 |
['FrederickPu', 'YaelDillies', 'fpvandoorn', 'github-actions', 'leanprover-community-bot-assistant'] |
nobody |
200-62162 6 months ago |
536-79411 536 days ago |
0-34081 9 hours |
| 21269 |
658060 author:658060 |
feat(CategoryTheory/Topos): basic definitions and results in topos theory |
This code contains basic definitions and results in topos theory, including the definition of a subobject classifier, power objects, and topoi. It is proved that every topos has exponential objects, i.e. "internal homs". The mathematical content follows chapter IV sections 1-2 of Mac Lane and Moerdijk's text "Sheaves in Geometry and Logic".
---
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[](https://gitpod.io/from-referrer/)
|
WIP
t-category-theory
new-contributor
merge-conflict
awaiting-author
|
1269/0 |
Mathlib.lean,Mathlib/CategoryTheory/Topos/Basic.lean,Mathlib/CategoryTheory/Topos/Classifier.lean,Mathlib/CategoryTheory/Topos/Exponentials.lean,Mathlib/CategoryTheory/Topos/Power.lean |
5 |
10 |
['658060', 'gio256', 'github-actions', 'joelriou', 'mathlib4-dependent-issues-bot'] |
nobody |
200-62135 6 months ago |
493-40949 493 days ago |
0-13879 3 hours |
| 23990 |
robertmaxton42 author:robertmaxton42 |
feat(Types.Colimits): Quot is functorial and colimitEquivQuot is natural |
Add `Functor.quotFunctor` to parallel `Functor.sectionsFunctor`, witnessing that `Quot` is functorial; add `colimNatIsoQuotFunctor` to parallel `limNatIsoSectionsFunctor`, witnessing that `colimitEquivQuot` is natural in the diagram $F$.
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-category-theory
new-contributor
|
33/0 |
Mathlib/CategoryTheory/Limits/Types/Colimits.lean |
1 |
5 |
['github-actions', 'joelriou', 'leanprover-community-bot-assistant', 'robertmaxton42'] |
nobody |
200-62018 6 months ago |
412-60953 412 days ago |
8-27136 8 days |
| 27991 |
sinianluoye author:sinianluoye |
feat(Rat): add Rat.den_eq_of_add_den_eq_one and its dependent lemmas |
```lean4
example {q r : ℚ} (h : (q + r).den = 1) : q.den = r.den := by
```
It is so simple, but I couldn't find it in current mathlib repo.
---
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|
awaiting-author
t-data
new-contributor
|
22/0 |
Mathlib/Data/Rat/Lemmas.lean |
1 |
33 |
['github-actions', 'kim-em', 'mathlib-bors', 'pechersky', 'sinianluoye', 'themathqueen'] |
pechersky assignee:pechersky |
200-61701 6 months ago |
231-85295 231 days ago |
74-56654 74 days |
| 28215 |
5hv5hvnk author:5hv5hvnk |
feat: strong and Weak connectivity for Digraphs |
strong and weak connectivity in Digraphs
---
Should resolve a part of issue #26771
Main additions in the PR:
1. Walks in Digraphs (Walk.lean)
- Basic walk structure with start and end vertices
- Support for walk operations: append, reverse, length
- Support functions: getVert, copy, support
2. Walk Decompositions (WalkDecomp.lean)
- takeUntil and dropUntil functions to split walks
- rotate operation for loop walks
- Theorems relating to walk decomposition properties
3. Subgraphs (subgraph.lean)
- Subgraph structure for digraphs
- Induced and spanning subgraph predicates
- Lattice structure (sup, inf, top, bot)
- Coercion to standalone digraphs
4. Paths (Paths.lean)
- Trail, Path, Circuit, Cycle definitions
- Path structure with no repeating vertices
- Theorems relating different path types
- Basic connectivity definitions (reachable, weakly/strongly connected)
5. Connectivity (Connected.lean)
- Reachability relations and properties
- Strong and weak connectivity definitions
- Connected component types:
- StronglyConnectedComponent
- WeaklyConnectedComponent
- ConnectedComponent
- Component properties and equivalence relations
-->
[](https://gitpod.io/from-referrer/)
|
WIP
new-contributor
merge-conflict
awaiting-author
t-combinatorics
|
1266/0 |
Mathlib.lean,Mathlib/Combinatorics/Digraph/Connected.lean,Mathlib/Combinatorics/Digraph/Paths.lean,Mathlib/Combinatorics/Digraph/Subgraph.lean,Mathlib/Combinatorics/Digraph/Walk.lean,Mathlib/Combinatorics/Digraph/WalkDecomp.lean |
6 |
4 |
['github-actions', 'grunweg', 'mathlib4-merge-conflict-bot'] |
nobody |
200-61680 6 months ago |
288-59262 288 days ago |
12-41939 12 days |
| 29574 |
JarodAlper author:JarodAlper |
feat: regular local rings are domains |
We have added three new files in Mathlib/RingTheory/LocalRing
* EmbeddingDimension.lean
* LocalRingDimension.lean
* RegularLocalRings.lean
We have added two lemmas and an instance in Mathlib/RingTheory/LocalRing/RingHom/Basic.lean
This work was done by Jarod Alper and Brian Nugent.
---
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|
merge-conflict
t-ring-theory
new-contributor
|
910/3 |
Mathlib.lean,Mathlib/RingTheory/LocalRing/EmbeddingDimension.lean,Mathlib/RingTheory/LocalRing/LocalRingDimension.lean,Mathlib/RingTheory/LocalRing/RegularLocalRings.lean,Mathlib/RingTheory/LocalRing/RingHom/Basic.lean,lake-manifest.json |
6 |
2 |
['github-actions', 'mathlib4-merge-conflict-bot'] |
nobody |
200-61569 6 months ago |
267-62824 267 days ago |
1-50449 1 day |
| 28718 |
imbrem author:imbrem |
feat: class for chosen finite coproducts |
Added basic `ChosenFiniteCoproducts` class, and started porting some of the lemmas about `ChosenFiniteProducts` suitably translated
---
This, combined with #20182 modified to use chosen finite coproducts and premonoidal categories (#21488), should be enough for me to formalize strong Elgot categories, and hence a lot of categorical iteration theory for my PhD thesis.
Re-done from #21603 to deal with changes in #24399 and #24390
Eventually, if we really want to harmonize approaches, we could introduce an `AddMonoidalCategory` struct and do the analogous to #24399 and #24390 for additive monoidal structure, but that seems like a massive overcomplication for now. It would allow formalizing fun things like rig categories, though.
- [ ] depends on: #30150 |
blocked-by-other-PR
t-category-theory
new-contributor
merge-conflict
awaiting-author
|
290/0 |
Mathlib.lean,Mathlib/CategoryTheory/ChosenFiniteCoproducts.lean |
2 |
9 |
['YaelDillies', 'github-actions', 'imbrem', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot', 'robin-carlier'] |
nobody |
200-61481 6 months ago |
291-11635 291 days ago |
0-24930 6 hours |
| 26765 |
KiringYJ author:KiringYJ |
feat(MeasureTheory/PiSystem): add π-λ theorem and SetLike instance |
Add two small features to `MeasureTheory/PiSystem`:
1. SetLike instance
`instance : SetLike (DynkinSystem α) (Set α)`
This lets us write `s ⊆ d` and `t ∈ d` for a DynkinSystem `d`, matching usual mathlib style.
2. `DynkinSystem.pi_lambda` lemma
Classical π‑λ theorem: if a π‑system `s` is contained in a Dynkin system `d`, every set measurable for `σ(s)` is also in `d`.
Currently, mathlib exposes this result only indirectly (e.g. via `generateFrom_eq`). Although logically equivalent, it is not obvious at first glance that those lemmas are the π‑λ theorem. The new lemma states the result in its familiar textbook form, so users can recognise and cite it immediately.
Both pieces are under 10 lines, term‑mode only, and do not modify existing APIs.
No breaking changes.
No dependencies.
|
awaiting-author
t-measure-probability
new-contributor
|
13/0 |
Mathlib/MeasureTheory/PiSystem.lean |
1 |
14 |
['EtienneC30', 'KiringYJ', 'dagurtomas', 'github-actions', 'ocfnash'] |
RemyDegenne assignee:RemyDegenne |
200-47877 6 months ago |
200-47877 200 days ago |
138-3922 138 days |
| 30637 |
strihanje01 author:strihanje01 |
feat(Combinatorics/SetFamily/Lindstrom): Lindstrom's theorem for subfamilies with equal unions |
add Lindstrom's theorem and its strengthening for equal intersections
---
<!-- The text above the `---` will become the commit message when your
PR is merged. Please leave a blank newline before the `---`, otherwise
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[](https://gitpod.io/from-referrer/)
|
t-combinatorics
new-contributor
|
209/0 |
Mathlib/Combinatorics/SetFamily/Lindstrom.lean |
1 |
2 |
['github-actions', 'mathlib4-merge-conflict-bot'] |
b-mehta assignee:b-mehta |
197-70026 6 months ago |
201-1785 201 days ago |
31-61152 31 days |
| 32169 |
saodimao20 author:saodimao20 |
feat: add convolution_comp_add_right |
This PR adds a lemma `convolution_comp_translation_right` showing that convolution commutes with translation on the right operand. Specifically, it proves that for an additive commutative group $G$, the convolution of a function $f$ with a translated function $x \mapsto g(a + x)$ is equal to the convolution of $f$ and $g$ evaluated at $x + a$.
---
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|
t-analysis
new-contributor
awaiting-author
|
14/0 |
Mathlib/Analysis/Convolution.lean |
1 |
3 |
['github-actions', 'urkud'] |
nobody |
192-4048 6 months ago |
192-4048 192 days ago |
0-82278 22 hours |
| 32126 |
nielsvoss author:nielsvoss |
feat(Analysis/Normed/Operator): definition of singular values for linear maps |
This PR defines a generalization of singular values, the approximation numbers, for continuous linear maps between normed vector spaces. It proves basic lemmas about the approximation numbers and shows that for finite-dimensional vector spaces, the approximation numbers coincide with the standard definition of singular values.
See the discussion on Zulip: https://leanprover.zulipchat.com/#narrow/channel/217875-Is-there-code-for-X.3F/topic/Singular.20Value.20Decomposition/with/558914024
Co-authored-by: Arnav Mehta <arnavmehta@berkeley.edu>
Co-authored-by: Rawad Kansoh <rak104@mail.aub.edu>
---
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|
WIP
t-analysis
new-contributor
|
331/0 |
Mathlib/Analysis/Normed/Operator/SingularValues.lean |
1 |
2 |
['github-actions', 'nielsvoss'] |
nobody |
191-41589 6 months ago |
unknown |
0-0 0 seconds |
| 30525 |
515801431 author:515801431 |
feat(Mathlib/Combinatorics/Enumerative/Polya): Add Polya Counting |
This PR introduces basic definitions and results about colorings under permutation group actions.
A coloring is defined as a function X → Y, and the permutation group Equiv.Perm X acts on colorings by precomposition:
(g • c) x = c (g⁻¹ • x)
This formalizes the natural action of relabeling the elements of X.
Main definitions
MulAction (Equiv.Perm X) (X → Y):
The action of the permutation group on colorings via precomposition.
coloringEquiv (c₁ c₂ : X → Y) : Prop:
Two colorings are equivalent if they lie in the same orbit under this action, i.e.
∃ f : Equiv.Perm X, f • c₁ = c₂.
Main results
smul_eq_iff_mem_stabilizer:
Characterizes when two group actions on the same coloring are equal, showing that
g • c = f • c ↔ f⁻¹ * g ∈ stabilizer c.
coloringEquiv_equivalence:
Proves that coloringEquiv defines an equivalence relation on X → Y.
orbit_size_eq_index:
Reformulates the orbit–stabilizer theorem in the context of colorings:
|orbit c| = |Perm X| / |stabilizer c|
Motivation
These results provide foundational infrastructure for studying Burnside’s lemma and Pólya’s enumeration theorem in Mathlib, where the enumeration of distinct colorings up to symmetry plays a central role. |
t-combinatorics
new-contributor
awaiting-author
merge-conflict
|
113/0 |
Mathlib.lean,Mathlib/Combinatorics/Enumerative/Polya.lean |
2 |
8 |
['IvanRenison', 'alreadydone', 'github-actions', 'mathlib4-merge-conflict-bot'] |
awainverse assignee:awainverse |
184-49187 6 months ago |
193-6330 193 days ago |
39-43570 39 days |
| 31113 |
515801431 author:515801431 |
feat(Mathlib/Combinatorics/Enumerative/Polya.lean): Add additional theorem in `Polya.lean` |
---
- [ ] depends on: #30525
---
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|
t-combinatorics
new-contributor
blocked-by-other-PR
merge-conflict
|
302/0 |
Mathlib.lean,Mathlib/Combinatorics/Enumerative/Polya.lean |
2 |
4 |
['github-actions', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
b-mehta assignee:b-mehta |
184-49063 6 months ago |
193-71489 193 days ago |
16-78251 16 days |
| 24441 |
MrSumato author:MrSumato |
feat(Data/List): add Lyndon-Schutzenberger theorem on list commutativity |
Add Lyndon-Schutzenberger theorem on list commutativity. Included definition for List.repeatSelf that returns list repeated n times.
---
This is my first mathlib PR, so any comments are highly appreciated.
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
t-data
new-contributor
|
129/1 |
Mathlib.lean,Mathlib/Data/List/Commutativity.lean,Mathlib/Data/List/Defs.lean,Mathlib/Data/List/Lemmas.lean |
4 |
38 |
['MrSumato', 'github-actions', 'grunweg', 'madvorak', 'mathlib4-merge-conflict-bot', 'plp127'] |
grunweg assignee:grunweg |
184-44665 6 months ago |
366-71009 366 days ago |
29-59355 29 days |
| 31147 |
daefigueroa author:daefigueroa |
feat(Dynamics): point transitive monoid actions and transitive points |
We define point transitivity for a monoid action on a topological space and define the set of transitive points. We add some basic lemmas and implications between topological transitivity and point transitivity.
---
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- [x] depends on: #28001
[](https://gitpod.io/from-referrer/) |
t-dynamics
new-contributor
awaiting-author
|
114/6 |
Mathlib/Dynamics/Transitive.lean |
1 |
6 |
['github-actions', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot', 'sgouezel'] |
sgouezel assignee:sgouezel |
181-69898 5 months ago |
181-69898 181 days ago |
18-38983 18 days |
| 31987 |
saodimao20 author:saodimao20 |
feat: add monotonicity and relation lemmas for mgf and cgf |
Add two lemmas about moment-generating and cumulant-generating functions:
- `mgf_mono_in_t_of_nonneg`: For nonnegative random variables, the mgf is monotone in the parameter `t`
- `cgf_zero_of_mgf_one`: The cgf equals zero iff the mgf equals one
These lemmas are useful for studying properties of mgf and cgf in probability theory.
Contributed by sequential-intelligence-lab(SIL), University of Virginia
---
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|
t-measure-probability
new-contributor
awaiting-author
|
21/0 |
Mathlib/Probability/Moments/Basic.lean |
1 |
5 |
['DavidLedvinka', 'github-actions'] |
RemyDegenne assignee:RemyDegenne |
175-62004 5 months ago |
175-62004 175 days ago |
21-31799 21 days |
| 32938 |
0xTerencePrime author:0xTerencePrime |
feat(Order/LocallyFinite): prove DenselyOrdered and LocallyFiniteOrder are incompatible |
## Summary
This PR proves that a nontrivial densely ordered linear order cannot be locally finite.
## Main results
* `not_locallyFiniteOrder`: A densely ordered locally finite linear order must be subsingleton.
* `not_locallyFiniteOrder_of_nontrivial`: The main theorem - incompatibility of the two properties.
Note: This implementation imports `Mathlib.Order.Interval.Set.Infinite` to reuse the existing `Set.Icc_infinite` theorem, ensuring standard library consistency.
## Mathematical content
The key insight is that in a densely ordered type, we can always find a new element between any two distinct elements. This means any nontrivial interval contains infinitely many elements. However, `LocallyFiniteOrder` requires intervals to be finite. This contradiction implies that such a type cannot exist (unless it is trivial).
## Motivation
This resolves a TODO mentioned in #7987 (Data/Finset/LocallyFinite entry).
## Verification
- [x] `lake build Mathlib.Order.LocallyFinite.Basic` passes
- [x] `lake exe runLinter Mathlib.Order.LocallyFinite.Basic` passes
|
t-order
new-contributor
awaiting-author
|
28/0 |
Mathlib/Order/Interval/Finset/Basic.lean |
1 |
10 |
['0xTerencePrime', 'CoolRmal', 'github-actions', 'jcommelin', 'plp127'] |
nobody |
170-85406 5 months ago |
170-85446 170 days ago |
3-22290 3 days |
| 32698 |
farruhx author:farruhx |
feat(List): add aesop / simp annotations to selected lemmas for improved automation |
This PR adds `@[aesop safe]` and `@[simp]` annotations to a set
of List lemmas whose proofs are routine and benefit from standardized
automation. No statements or definitions are changed; only proof annotations
are added.
The lemmas updated in this PR are:
* `or_exists_of_exists_mem_cons`
* `append_subset_of_subset_of_subset`
* `map_subset_iff`
* `append_eq_has_append`
* `append_right_injective`
* `append_left_injective`
* `reverse_surjective`
* `reverse_bijective`
* `mem_getLast?_append_of_mem_getLast?`
* `mem_dropLast_of_mem_of_ne_getLast`
* `idxOf_eq_length_iff`
* `idxOf_append_of_mem`
* `length_eraseP_add_one`
The goal is to make these commonly used lemmas easier for `aesop`-based
automation to resolve, while avoiding any interference with simp-normal-form
lemmas or canonical rewrite rules.
There are no API changes and no new theorems—only improved automation behavior. |
t-data
new-contributor
awaiting-author
|
18/1 |
Mathlib/Data/List/Basic.lean |
1 |
8 |
['artie2000', 'euprunin', 'farruhx', 'github-actions'] |
pechersky assignee:pechersky |
170-33775 5 months ago |
170-33775 170 days ago |
7-31364 7 days |
| 27817 |
zhuyizheng author:zhuyizheng |
feat: add IMO2025P1 |
Add a solution to IMO2025P1, the original problem statement from https://github.com/jsm28/IMOLean
---
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PR is merged. Please leave a blank newline before the `---`, otherwise
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[](https://gitpod.io/from-referrer/)
|
IMO
awaiting-author
new-contributor
merge-conflict
|
1310/0 |
Archive.lean,Archive/Imo/Imo2025Q1.lean |
2 |
9 |
['github-actions', 'kim-em', 'mathlib4-merge-conflict-bot', 'zhuyizheng'] |
dwrensha assignee:dwrensha |
169-65972 5 months ago |
229-30540 229 days ago |
59-36769 59 days |
| 33218 |
Blackfeather007 author:Blackfeather007 |
feat(Algebra): Define the associated graded ring to filtered ring |
Define the associated graded ring to a filtered ring.
---
- [ ] depends on: #33217
migrated from https://github.com/leanprover-community/mathlib4/pull/26858 |
t-ring-theory
new-contributor
blocked-by-other-PR
|
450/0 |
Mathlib.lean,Mathlib/RingTheory/FilteredAlgebra/AssociatedGraded.lean |
2 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
167-12237 5 months ago |
167-17522 167 days ago |
0-132 2 minutes |
| 33219 |
Blackfeather007 author:Blackfeather007 |
feat(Algebra): Define associated graded algebra |
Define the associated graded algebra of a filtered algebra, constructed from a special case of associated graded ring.
---
- [ ] depends on: #33218
migrated from #26859
|
t-ring-theory
new-contributor
blocked-by-other-PR
|
563/0 |
Mathlib.lean,Mathlib/RingTheory/FilteredAlgebra/AssociatedGraded.lean |
2 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
167-12129 5 months ago |
167-17296 167 days ago |
0-133 2 minutes |
| 33220 |
Blackfeather007 author:Blackfeather007 |
feat(Algebra): Define associated graded module |
Define the associated graded module to a filtered module.
---
- [ ] depends on: #33218
migrated from #26860
|
t-ring-theory
new-contributor
blocked-by-other-PR
|
669/0 |
Mathlib.lean,Mathlib/RingTheory/FilteredAlgebra/AssociatedGraded.lean |
2 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
167-12045 5 months ago |
167-17108 167 days ago |
0-137 2 minutes |
| 33227 |
Blackfeather007 author:Blackfeather007 |
feat(Algebra): exact of associated graded exact |
We proved that a chain complex is exact if its associated graded complex is exact.
Co-authored-by: Huanyu Zheng @Yu-Misaka [suzuka@misaka-yu.com](mailto:suzuka@misaka-yu.com)
Co-authored-by: Yi Yuan @yuanyi-350 [kysyy1@126.com](mailto:kysyy1@126.com)
Co-authored-by: Weichen Jiao @AlbertJ-314 [albertjiao314@gmail.com](mailto:albertjiao314@gmail.com)
---
- [ ] depends on: #33226
migrated from #26869 |
t-ring-theory
new-contributor
blocked-by-other-PR
|
728/0 |
Mathlib.lean,Mathlib/RingTheory/FilteredAlgebra/AssociatedGraded.lean,Mathlib/RingTheory/FilteredAlgebra/Exactness.lean,Mathlib/RingTheory/FilteredAlgebra/FilteredHom.lean |
4 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
167-9717 5 months ago |
167-9718 167 days ago |
0-1208 20 minutes |
| 33226 |
Blackfeather007 author:Blackfeather007 |
feat(Algebra): associated graded exact of exact and strict |
In this file, we define the concept of exhaustive filtrations.
We also prove a AssociatedGradedRingHom sequence is exact iff each GradedPieceHom is exact.
And when a sequence is strict exact, the corresponding AssociatedGradedRingHom sequence is also exact.
Co-authored-by: Huanyu Zheng @Yu-Misaka [suzuka@misaka-yu.com](mailto:suzuka@misaka-yu.com)
Co-authored-by: Yi Yuan @yuanyi-350 [kysyy1@126.com](mailto:kysyy1@126.com)
Co-authored-by: Weichen Jiao @AlbertJ-314 [albertjiao314@gmail.com](mailto:albertjiao314@gmail.com)
---
- [ ] depends on: #33222
migrated from #26868 |
t-ring-theory
new-contributor
blocked-by-other-PR
|
529/0 |
Mathlib.lean,Mathlib/RingTheory/FilteredAlgebra/AssociatedGraded.lean,Mathlib/RingTheory/FilteredAlgebra/Exactness.lean,Mathlib/RingTheory/FilteredAlgebra/FilteredHom.lean |
4 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
167-9715 5 months ago |
167-9716 167 days ago |
0-1307 21 minutes |
| 33225 |
Blackfeather007 author:Blackfeather007 |
feat(Algebra): filtered module hom |
In this PR we defined the filtered semi-linear map for filtered module and the associated graded module hom.
---
- [ ] depends on: #33220
- [ ] depends on: #33223
migrated from #26867 |
t-ring-theory
new-contributor
blocked-by-other-PR
|
1205/0 |
Mathlib.lean,Mathlib/RingTheory/FilteredAlgebra/AssociatedGraded.lean,Mathlib/RingTheory/FilteredAlgebra/FilteredHom.lean |
3 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
167-9714 5 months ago |
167-9715 167 days ago |
0-1805 30 minutes |
| 33224 |
Blackfeather007 author:Blackfeather007 |
feat(Algebra): define filtered alghom |
In this PR, we define the filtered algebra homomorphisms on algebras and prove some basic properties of
them.
---
- [ ] depends on: #33219
- [ ] depends on: #33223
migrated from #26863 |
t-ring-theory
new-contributor
blocked-by-other-PR
|
1055/0 |
Mathlib.lean,Mathlib/RingTheory/FilteredAlgebra/AssociatedGraded.lean,Mathlib/RingTheory/FilteredAlgebra/FilteredHom.lean |
3 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
167-9712 5 months ago |
167-9713 167 days ago |
0-2046 34 minutes |
| 33223 |
Blackfeather007 author:Blackfeather007 |
feat(Algebra): define filtered ring homomorphism |
In this PR, we define the filtered ring morphisms on rings and prove some basic properties of
them.
Co-authored-by: Huanyu Zheng @Yu-Misaka [suzuka@misaka-yu.com](mailto:suzuka@misaka-yu.com)
Co-authored-by: Yi Yuan @yuanyi-350 [kysyy1@126.com](mailto:kysyy1@126.com)
Co-authored-by: Weichen Jiao @AlbertJ-314 [albertjiao314@gmail.com](mailto:albertjiao314@gmail.com)
---
- [ ] depends on: #33218
- [ ] depends on: #33222
migrated from #26862 |
t-ring-theory
new-contributor
blocked-by-other-PR
|
824/0 |
Mathlib.lean,Mathlib/RingTheory/FilteredAlgebra/AssociatedGraded.lean,Mathlib/RingTheory/FilteredAlgebra/FilteredHom.lean |
3 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
167-9709 5 months ago |
167-9712 167 days ago |
0-2257 37 minutes |
| 33222 |
Blackfeather007 author:Blackfeather007 |
feat(Algebra): define filtered add group hom |
In this file we define filtered hom and the corresponding associated graded hom for abelian groups.
Co-authored-by: Huanyu Zheng @Yu-Misaka [suzuka@misaka-yu.com](mailto:suzuka@misaka-yu.com)
Co-authored-by: Yi Yuan @yuanyi-350 [kysyy1@126.com](mailto:kysyy1@126.com)
Co-authored-by: Weichen Jiao @AlbertJ-314 [albertjiao314@gmail.com](mailto:albertjiao314@gmail.com)
---
- [ ] depends on: #33217
migrated from #26861
|
new-contributor
t-ring-theory
blocked-by-other-PR
|
368/0 |
Mathlib.lean,Mathlib/RingTheory/FilteredAlgebra/AssociatedGraded.lean,Mathlib/RingTheory/FilteredAlgebra/FilteredHom.lean |
3 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
167-9708 5 months ago |
167-9709 167 days ago |
0-2249 37 minutes |
| 32264 |
jjtowery author:jjtowery |
feat(Bicategory): add lax slice bicategory |
---
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In this PR, I define the lax slice bicategory for a lax functor over an object. I also give the change of slice strict pseudofunctor. These are from Section 7.1 of Johnson & Yau and are essential for their Whitehead theorem for bicategories (lax functor biequivalence iff essentially surjective, essentially full, and fully faithful), which I'd like to prove at some point.
[](https://gitpod.io/from-referrer/)
|
t-category-theory
new-contributor
awaiting-author
|
527/0 |
Mathlib.lean,Mathlib/CategoryTheory/Bicategory/LaxSlice.lean |
2 |
12 |
['dagurtomas', 'github-actions', 'jjtowery', 'robin-carlier'] |
dagurtomas assignee:dagurtomas |
163-38194 5 months ago |
186-41651 186 days ago |
3-47959 3 days |
| 33163 |
Aaron1011 author:Aaron1011 |
feat: prove subgroup of (M -> Z) is finitely generated |
---
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[](https://gitpod.io/from-referrer/)
|
t-ring-theory
new-contributor
awaiting-author
|
5/0 |
Mathlib/RingTheory/DedekindDomain/Dvr.lean |
1 |
2 |
['erdOne', 'github-actions'] |
alreadydone assignee:alreadydone |
162-47796 5 months ago |
162-47796 162 days ago |
5-81520 5 days |
| 33133 |
0xTerencePrime author:0xTerencePrime |
feat(Algebra/Group/Center): add Decidable (IsMulCentral a) instance |
This PR adds a `Decidable` instance for `IsMulCentral a`.
### Summary
The structure `IsMulCentral` was missing a `Decidable` instance. This PR provides the instance by leveraging `isMulCentral_iff`, enabling decidability for both multiplicative and additive (via `to_additive`) structures.
### Verification
- `lake build Mathlib.Algebra.Group.Center` passed.
- `lake exe runLinter Mathlib.Algebra.Group.Center` passed. |
t-algebra
new-contributor
awaiting-author
label:t-algebra$ |
7/0 |
Mathlib/Algebra/Group/Center.lean |
1 |
3 |
['github-actions', 'robin-carlier'] |
ocfnash assignee:ocfnash |
156-75987 5 months ago |
156-75987 156 days ago |
12-60805 12 days |
| 33502 |
MrQubo author:MrQubo |
fix(Tactic/ProxyType): Pass params explicitly in proxy_equiv% implementation |
Fix [#mathlib4 > `deriving Fintype` with Prop](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/.60deriving.20Fintype.60.20with.20Prop/with/566118621)
---
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[](https://gitpod.io/from-referrer/)
|
new-contributor
t-meta
WIP
|
12/2 |
Mathlib/Tactic/ProxyType.lean,MathlibTest/DeriveFintype.lean |
2 |
7 |
['MrQubo', 'github-actions', 'kmill'] |
kmill assignee:kmill |
155-42911 5 months ago |
155-42912 155 days ago |
0-60133 16 hours |
| 17176 |
arulandu author:arulandu |
feat: integrals and integrability with .re |
Lemmas for swapping order of .re and integration/integrability.
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
awaiting-author
new-contributor
t-measure-probability
please-adopt
|
49/0 |
Mathlib/MeasureTheory/Function/L1Space.lean,Mathlib/MeasureTheory/Integral/IntegrableOn.lean,Mathlib/MeasureTheory/Integral/IntervalIntegral.lean,Mathlib/MeasureTheory/Integral/SetIntegral.lean |
4 |
32 |
['EtienneC30', 'arulandu', 'github-actions', 'loefflerd'] |
nobody |
153-45909 5 months ago |
601-6746 601 days ago |
9-73631 9 days |
| 33330 |
michael-novak-math author:michael-novak-math |
feat: add arc-length reparametrization of parametrized curves |
add new definitions of arc-length reparametrization and its corresponding parameter transformation and a theorem establishing the desired properties. |
t-analysis
new-contributor
awaiting-author
merge-conflict
|
311/0 |
Mathlib.lean,Mathlib/Analysis/Calculus/ArcLengthReparametrization.lean,Mathlib/MeasureTheory/Integral/IntervalIntegral/FundThmCalculus.lean,docs/references.bib |
5 |
57 |
['SnirBroshi', 'github-actions', 'grunweg', 'j-loreaux', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot', 'michael-novak-math'] |
j-loreaux assignee:j-loreaux |
151-26864 5 months ago |
76-1591 76 days ago |
6-69934 6 days |
| 33299 |
kingiler author:kingiler |
feat: Add decidable membership for Interval |
Implemented membership and corresponding decidable instance for `Interval`.
Related [#mathlib4 > Proposal: Add decidable membership for Interval](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Proposal.3A.20Add.20decidable.20membership.20for.20Interval/with/565438009).
---
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[](https://gitpod.io/from-referrer/)
|
awaiting-author
new-contributor
t-order
|
16/1 |
Mathlib/Order/Interval/Basic.lean |
1 |
5 |
['Vierkantor', 'eric-wieser', 'github-actions', 'kingiler'] |
Vierkantor assignee:Vierkantor |
150-56215 4 months ago |
150-56215 150 days ago |
13-42146 13 days |
| 30142 |
shalliso author:shalliso |
feat(Topology/Baire): define IsNonMeagre |
non-meagre sets (also known as "of the second category") are worthy of their own definition and API. This was useful to me for formalizing a result of "automatic continuity", that is, a Baire-measurable homomorphism between Polish groups must be continuous. Simply working with the negation of IsMeagre quickly became cumbersome, and non-meagre sets have an important role in the study of Polish (e.g. locally compact) groups.
From https://github.com/shalliso/automatic_continuity
---
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[](https://gitpod.io/from-referrer/)
|
t-topology
new-contributor
merge-conflict
awaiting-author
|
83/1 |
Mathlib/Topology/Baire/NonMeagre.lean,Mathlib/Topology/GDelta/Basic.lean |
2 |
6 |
['github-actions', 'grunweg', 'mathlib4-merge-conflict-bot'] |
nobody |
149-65899 4 months ago |
149-65900 149 days ago |
98-58846 98 days |
| 32880 |
0xTerencePrime author:0xTerencePrime |
feat(Analysis/Asymptotics): define subpolynomial growth |
## Main definitions
* `Asymptotics.IsSubpolynomial l f g`: A function `f` has subpolynomial growth with respect to `g` along filter `l` if `f = O(1 + ‖g‖^k)` for some natural `k`.
## Main results
* `IsSubpolynomial.const`: Constant functions have subpolynomial growth
* `IsSubpolynomial.id`: Identity has subpolynomial growth
* `IsSubpolynomial.add`: Closure under addition
* `IsSubpolynomial.neg`: Closure under negation
* `IsSubpolynomial.sub`: Closure under subtraction
* `IsSubpolynomial.mul`: Closure under multiplication
* `IsSubpolynomial.pow`: Closure under powers
* `isSubpolynomial_iff_one_add`: Equivalence with `(1 + ‖g‖)^k` formulation
* `IsSubpolynomial.uniform`: Uniform bounds for finite families
## Implementation notes
The definition uses `1 + ‖g‖^k` rather than `(1 + ‖g‖)^k` as the primary form, with the equivalence established in `isSubpolynomial_iff_one_add`. Four private auxiliary lemmas handle the key inequalities needed for closure proofs.
Closes #32658
|
awaiting-author
t-analysis
new-contributor
|
185/0 |
Mathlib.lean,Mathlib/Analysis/Asymptotics/Subpolynomial.lean |
2 |
29 |
['0xTerencePrime', 'ADedecker', 'github-actions', 'j-loreaux'] |
ADedecker assignee:ADedecker |
146-48983 4 months ago |
147-30441 147 days ago |
22-14560 22 days |
| 33948 |
anivegesana author:anivegesana |
feat(Analysis/Normed/Algebra): matrix exponential of nilpotent matrix |
Where the matrix exponential and nilpotent elements are defined, both the matrix exponential and the nilpotent element exponential. I had to add a different theorem for normed space exponential and the matrix exponential since the right instances wouldn't be synthesized. Help with golfing would be appreciated.
---
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|
new-contributor
t-analysis
|
34/0 |
Mathlib/Analysis/Normed/Algebra/Exponential.lean,Mathlib/Analysis/Normed/Algebra/MatrixExponential.lean |
2 |
1 |
['github-actions'] |
nobody |
145-13568 4 months ago |
145-13640 145 days ago |
145-13401 145 days |
| 30391 |
rudynicolop author:rudynicolop |
feat(Data/List): list splitting definitions and lemmas |
This PR continues the work from #24395.
Original PR: https://github.com/leanprover-community/mathlib4/pull/24395 |
t-data
new-contributor
awaiting-author
|
108/2 |
Mathlib/Data/List/Perm/Lattice.lean,Mathlib/Data/List/TakeDrop.lean |
2 |
50 |
['BoltonBailey', 'IlPreteRosso', 'TwoFX', 'Vierkantor', 'github-actions', 'kckennylau', 'mathlib4-merge-conflict-bot', 'rudynicolop'] |
TwoFX assignee:TwoFX |
142-67314 4 months ago |
142-75836 142 days ago |
93-10043 93 days |
| 29282 |
Jlh18 author:Jlh18 |
feat(CategoryTheory): HasColimits instance on Grpd |
Show that the category of groupoids has all small colimits, as a coreflective subcategory of `Cat`, which has all small colimits. The right adjoint of the forgetful functor is the core functor `CategoryTheory.Core.functor`.
- [ ] depends on: #29283 [Core of a category as a functor]
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
blocked-by-other-PR
new-contributor
t-category-theory
|
140/4 |
Mathlib.lean,Mathlib/AlgebraicTopology/FundamentalGroupoid/InducedMaps.lean,Mathlib/CategoryTheory/Category/Grpd.lean,Mathlib/CategoryTheory/Core.lean,Mathlib/CategoryTheory/Groupoid/Grpd/Colimit.lean,Mathlib/CategoryTheory/Groupoid/Grpd/Core.lean |
6 |
3 |
['github-actions', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
nobody |
140-77394 4 months ago |
278-22778 278 days ago |
0-396 6 minutes |
| 32745 |
LTolDe author:LTolDe |
feat(Topology/Algebra): add MulActionConst.lean |
add Topology/Algebra/MulActionConst.lean
introduce class `ContinuousSMulConst` for a scalar multiplication that is continuous in the first argument, in analogy to `ContinuousConstSMul`
define `MulAction.ball x U` as the set `U • {x}` given `[SMul G X] (x : X) (U : Set G)`
The lemmas shown here will be useful to prove the **Effros Theorem**, see [zulip](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Effros.20Theorem/with/558712441).
---
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|
awaiting-author
new-contributor
t-topology
|
117/0 |
Mathlib.lean,Mathlib/Topology/Algebra/MulActionConst.lean |
2 |
8 |
['LTolDe', 'github-actions', 'urkud'] |
nobody |
139-63260 4 months ago |
146-42790 146 days ago |
16-33128 16 days |
| 33478 |
anishrajeev author:anishrajeev |
feat(ModelTheory): define a subset of the topology over complete types |
Define a subset of the Stone Space over a language expanded with countably many constants. Define the proposition to indicate if a language is countable. The subset's density and openness is a future goal to prove (have a branch where it is almost finished), in pursuit of formalizing the proof of the Omitting Types Theorem via properties of Baire spaces.
- [ ] depends on: #32215
- [ ] depends on: #32546 |
t-logic
merge-conflict
new-contributor
blocked-by-other-PR
|
160/1 |
Mathlib.lean,Mathlib/ModelTheory/Topology/Types.lean,Mathlib/ModelTheory/Types.lean,Mathlib/Tactic/Linter/DirectoryDependency.lean |
4 |
8 |
['NoneMore', 'anishrajeev', 'github-actions', 'mathlib-dependent-issues', 'mathlib4-merge-conflict-bot', 'tb65536'] |
nobody |
138-56779 4 months ago |
146-70603 146 days ago |
10-38484 10 days |
| 34141 |
gululu996-ui author:gululu996-ui |
feat(Combinatorics/SimpleGraph/Acyclic): finite trees have at least two degree-one vertices |
Add a lemma showing that a finite tree with at least two vertices has at least two vertices of degree 1.
- Introduce a helper lemma `SimpleGraph.Connected.one_le_degree` for connected graphs on a nontrivial finite type.
- Prove the leaf-count lower bound via the degree-sum identity and a counting argument.
---
|
awaiting-author
new-contributor
t-combinatorics
|
72/2 |
Mathlib/Combinatorics/SimpleGraph/Acyclic.lean |
1 |
9 |
['IvanRenison', 'SnirBroshi', 'github-actions', 'vlad902'] |
nobody |
136-60537 4 months ago |
138-41973 138 days ago |
1-23617 1 day |
| 29953 |
slashbade author:slashbade |
feat: add reap for experiment |
---
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|
new-contributor |
40/3 |
Cache/IO.lean,Mathlib/Tactic/Common.lean,Mathlib/Tactic/Linter/DirectoryDependency.lean,lake-manifest.json,lakefile.lean |
5 |
3 |
['github-actions', 'mathlib4-merge-conflict-bot'] |
nobody |
131-53062 4 months ago |
unknown |
0-0 0 seconds |
| 31377 |
CoolRmal author:CoolRmal |
feat: a series of smooth functions that converges (locally) uniformly is smooth |
The main theorem is the proof that an infinite sum of $C^n$ functions on a one-dimensional domain which converges locally uniformly is $C^n$ and related results.
This should be compared with [contDiff_tsum](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Analysis/Calculus/SmoothSeries.html#contDiff_tsum) where the same result is proved for functions on an arbitrary domain but with a slightly stronger convergence assumption.
The main motivation for this PR is the [#mathlib4 > Tychonov's Counterexample for the Heat Equation](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Tychonov's.20Counterexample.20for.20the.20Heat.20Equation/with/547367912).
---
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|
t-topology
new-contributor
awaiting-author
merge-conflict
|
110/18 |
Mathlib/Analysis/Calculus/SmoothSeries.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Cotangent.lean,Mathlib/NumberTheory/ModularForms/EisensteinSeries/QExpansion.lean,Mathlib/Topology/Algebra/InfiniteSum/TsumUniformlyOn.lean,Mathlib/Topology/Algebra/InfiniteSum/UniformOn.lean |
5 |
20 |
['CoolRmal', 'github-actions', 'mathlib4-merge-conflict-bot', 'ocfnash', 'sgouezel'] |
ocfnash assignee:ocfnash |
130-42635 4 months ago |
191-59600 191 days ago |
8-14942 8 days |
| 33031 |
chiyunhsu author:chiyunhsu |
feat(Combinatorics/Enumerative/Partition): add combinatorial proof of Euler's partition theorem |
The new file EulerComb.lean contains the combinatorial proof of Euler's partition theorem. The analytic proof of the theorem and its generalization of Glaisher's Theorem has already been formalized in [Glaisher.lean](https://github.com/leanprover-community/mathlib4/blob/master/Mathlib/Combinatorics/Enumerative/Partition/Glaisher.lean). The generalization of the combinatorial proof from this file to Glaisher's Theorem is within reach.
---
Zulip discussion: [#mathlib4 > Glaisher’s Bijection on integer partitions](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Glaisher.E2.80.99s.20Bijection.20on.20integer.20partitions/with/570808111)
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|
t-combinatorics
new-contributor
awaiting-zulip
awaiting-author
|
531/0 |
Mathlib.lean,Mathlib/Combinatorics/Enumerative/Partition/EulerComb.lean |
2 |
7 |
['chiyunhsu', 'dagurtomas', 'github-actions', 'tb65536', 'vihdzp'] |
b-mehta assignee:b-mehta |
129-66156 4 months ago |
129-66156 129 days ago |
42-21618 42 days |
| 34130 |
FlAmmmmING author:FlAmmmmING |
feat(Combinatorics/SimpleGraph/Acyclic): Add new theorem `isTree_iff_uniqueShortest_path` |
---
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|
awaiting-author
t-combinatorics
new-contributor
|
28/1 |
Mathlib/Combinatorics/SimpleGraph/Acyclic.lean |
1 |
9 |
['IvanRenison', 'github-actions', 'metakunt', 'vlad902'] |
nobody |
129-2163 4 months ago |
137-72578 137 days ago |
2-6389 2 days |
| 34487 |
martinwintermath author:martinwintermath |
feat(LinearAlgebra/SesquilinearForm): add instances for SeparatingLeft, SeparatingRight and Nondegenerate |
Add typeclass instances for `Fact B.SeparatingLeft`, `Fact B.SeparatingRight`, `Fact B.Nondegenerate`:
* inferring `Fact B.flip.SeparatingLeft` from `Fact B.SeparatingRight` and vice versa
* inferring `Fact B.SeparatingLeft` and `Fact B.SeparatingRight` from `Fact B.Nondegenerate`
* inferring `Fact B.SeparatingLeft` and `Fact B.Nondegenerate` for `.id` and `Dual.eval`
* inferring `Fact B.Nondegenerate` from `B.IsPerfPair`
I also updated `PointedCone.dual_univ` to demonstrate the usefulness of these additions. Note that I needed to add an import to `Cone/Dual.lean` which somehow imports cardinals. So I needed to remove cardinals from `assert_not_exists`.
---
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|
t-algebra
new-contributor
large-import
merge-conflict
label:t-algebra$ |
67/12 |
Mathlib/Geometry/Convex/Cone/Dual.lean,Mathlib/LinearAlgebra/Dual/Lemmas.lean,Mathlib/LinearAlgebra/PerfectPairing/Basic.lean,Mathlib/LinearAlgebra/SesquilinearForm/Basic.lean |
2 |
4 |
['github-actions', 'martinwintermath', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot'] |
joelriou assignee:joelriou |
128-75217 4 months ago |
69-61554 69 days ago |
13-75766 13 days |
| 34028 |
floor-licker author:floor-licker |
feat(SimpleGraph): add max-flow/min-cut weak duality |
This PR introduces a basic s–t flow setup for undirected SimpleGraphs and proves the standard weak-duality
inequality: for any feasible flow f and any s–t cut S, value f ≤ cutCapacity S.
This is a small, self-contained lemma I extracted while working on larger graph-theoretic formalizations, in particular, results that will ultimately rely on a full max-flow/min-cut theorem. The full MFMC equality/existence statement is not included here. This is the weak-duality direction (∀ f S, value f ≤ cutCapacity S).
|
t-combinatorics
new-contributor
|
169/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Connectivity/MaxFlowMinCut.lean |
2 |
14 |
['SnirBroshi', 'floor-licker', 'github-actions', 'mathlib-merge-conflicts'] |
kmill assignee:kmill |
128-27857 4 months ago |
79-51386 79 days ago |
61-8543 61 days |
| 32609 |
PrParadoxy author:PrParadoxy |
feat(LinearAlgebra/PiTensorProduct): Relation between nested tensor products and tensor products indexed by dependent sums |
Product tensors in `⨂ j : (Σ i, β i), s j.fst j.snd` can be mapped to
product tensors in `⨂ i, ⨂ b : β i, s i b`. If the outer index type is
finite, the two types are equivalent.
This allows the definition of endomorphisms on PiTensorProducts by
specifying them on disjoint subsets of the index set. Such constructions
are common e.g. in quantum circuits, quantum cellular automata, and
renormalization procedures.
---
WIP.
This PR contains two "requests for comments". Essentially:
* Is a single complex-to-define linear equivalence preferable over
several less complex ones, which might however be of limited interest
by themselves?
* Which trade-offs are appropriate to make things computable?
- [ ] depends on: #32608
- [x] depends on: #32600
- [x] depends on: #32598
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new-contributor
blocked-by-other-PR
merge-conflict
t-algebra
label:t-algebra$ |
683/0 |
Mathlib.lean,Mathlib/Data/Sigma/Basic.lean,Mathlib/LinearAlgebra/Multilinear/Basic.lean,Mathlib/LinearAlgebra/PiTensorProduct/Nested.lean,Mathlib/LinearAlgebra/PiTensorProduct/Set.lean |
5 |
5 |
['github-actions', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
nobody |
127-39968 4 months ago |
181-40406 181 days ago |
0-2004 33 minutes |
| 30260 |
imbrem author:imbrem |
feat(CategoryTheory/Monoidal): added CocartesianMonoidalCategory |
As discussed in #21603 and #28718; this implements chosen finite coproducts on top of `AddMonoidalCategory` as defined in #30150
---
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- [ ] depends on: #30150
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|
merge-conflict
blocked-by-other-PR
large-import
new-contributor
t-category-theory
|
839/125 |
Mathlib.lean,Mathlib/CategoryTheory/Monoidal/Category.lean,Mathlib/CategoryTheory/Monoidal/Cocartesian/Basic.lean,Mathlib/CategoryTheory/Monoidal/Discrete.lean,Mathlib/Tactic/ToAdditive/GuessName.lean |
5 |
4 |
['github-actions', 'imbrem', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
nobody |
126-78799 4 months ago |
245-29368 245 days ago |
0-1234 20 minutes |
| 30258 |
imbrem author:imbrem |
feat(CategoryTheory/Monoidal): to_additive for proofs using `monoidal` |
Building on #30150, this allows us to use `@[to_additive]` on proofs containing `monoidal`, by tagging the lemmas `monoidal` outputs with `@[to_additive]` as appropriate.
Testing on my branch [`additive-monoidal-coherence`](https://github.com/imbrem/mathlib4/tree/additive-monoidal-coherence) shows that this works.
It is still future work to have either the `monoidal` tactic or a new `add_monoidal` tactic work for `AddMonoidalCategory` instances directly.
---
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- [ ] depends on: #30150
[](https://gitpod.io/from-referrer/)
|
merge-conflict
blocked-by-other-PR
large-import
new-contributor
t-category-theory
|
524/140 |
Mathlib/CategoryTheory/Monoidal/Category.lean,Mathlib/CategoryTheory/Monoidal/Discrete.lean,Mathlib/Tactic/CategoryTheory/Monoidal/Normalize.lean,Mathlib/Tactic/CategoryTheory/Monoidal/PureCoherence.lean,Mathlib/Tactic/CategoryTheory/MonoidalComp.lean,Mathlib/Tactic/ToAdditive/GuessName.lean |
6 |
3 |
['github-actions', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
nobody |
126-78792 4 months ago |
245-35021 245 days ago |
0-241 4 minutes |
| 32742 |
LTolDe author:LTolDe |
feat(MeasureTheory/Constructions/Polish/Basic): add class SuslinSpace |
add new class `SuslinSpace` for a topological space that is an analytic set in itself
This will be useful to prove the **Effros Theorem**, see [zulip thread](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Effros.20Theorem/with/558712441).
---
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|
new-contributor
awaiting-zulip
t-measure-probability
awaiting-author
|
4/0 |
Mathlib/MeasureTheory/Constructions/Polish/Basic.lean |
1 |
10 |
['ADedecker', 'LTolDe', 'dagurtomas', 'dupuisf', 'github-actions', 'jcommelin'] |
PatrickMassot assignee:PatrickMassot |
126-78566 4 months ago |
163-76724 163 days ago |
14-69429 14 days |
| 31102 |
JOSHCLUNE author:JOSHCLUNE |
feat: require LeanHammer |
Experimenting with adding LeanHammer as a mathlib dependency
---
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|
merge-conflict
new-contributor
t-meta
|
61/4 |
Mathlib/Tactic/Common.lean,Mathlib/Tactic/Linter/DirectoryDependency.lean,MathlibTest/Hammer.lean,lake-manifest.json,lakefile.lean |
5 |
2 |
['github-actions', 'mathlib4-merge-conflict-bot'] |
nobody |
126-69274 4 months ago |
220-41413 220 days ago |
0-6852 1 hour |
| 33431 |
gululu996-ui author:gululu996-ui |
feat(Combinatorics/SimpleGraph/Bipartite): characterize bipartite simple graphs by even cycles |
Add the classical characterization of bipartite simple graphs: a simple graph is bipartite if and only if every cycle has even length.
Previously, mathlib has the definition of `IsBipartite` for `SimpleGraph` and various lemmas about bipartite graphs, but it does not provide this equivalence in a single theorem, so users have to reprove or reassemble it from existing results.
Prove the forward direction by showing a 2-coloring alternates along any walk, so every cycle must have even length. Prove the converse by showing that if an odd cycle exists then no bipartition is possible, hence if all cycles are even the graph admits a bipartition.
|
new-contributor
t-combinatorics
awaiting-author
merge-conflict
|
186/1 |
Mathlib/Combinatorics/SimpleGraph/Bipartite.lean |
1 |
6 |
['NickAdfor', 'github-actions', 'jcommelin', 'mathlib-merge-conflicts'] |
kmill assignee:kmill |
126-69006 4 months ago |
128-69903 128 days ago |
26-3983 26 days |
| 34007 |
martinwintermath author:martinwintermath |
feat(Algebra/Module/Submodule/Dual): dual operator for submodules |
Add new file `Dual.lean` that defines the dual operator for submodules. The main definition is
* `Submodule.dual`: given a bilinear pairing `p` between two modules `M₁` and `M₂` and a submodule `S` in `M₁`, `Submodule.dual p S` is the submodule in `M₂` consisting of all points `y` such that `0 = p x y` for all `x ∈ S`.
For reasons of generality, `p` is actually a general sesqui-bilinear map, that is, of the form
`p : M₁ →ₛₗ[I₁] M₂ →ₛₗ[I₂] M`.
This implementation of the `dual` operator for submodules is written to parallel the implementation of `PointedCone.dual`.
Include some additional results:
* theorems that represent the dual as the kernel of a linear map
* theorems for the relation between dual and the `dualAnnihilator` and `dualCoannihilator` of a submodule.
---
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|
t-algebra
new-contributor
awaiting-author
label:t-algebra$ |
236/0 |
Mathlib.lean,Mathlib/Algebra/Module/Submodule/Dual.lean |
2 |
7 |
['github-actions', 'joelriou', 'martinwintermath', 'mathlib-bors'] |
joelriou assignee:joelriou |
126-65043 4 months ago |
128-47502 128 days ago |
14-81283 14 days |
| 34291 |
YellPika author:YellPika |
feat(Data): a monad for partial computations |
This is the code corresponding to [mathlib4 > A monad for partial computations](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/A.20monad.20for.20partial.20computations/with/569619800). Not currently intended to be merged.
This PR depends on #33941. The only changes relevant to this discussion are in `OmegaPart.lean`, `OmegaProp.lean`, and `Quot.lean`.
# Original Message
Inspired by @**Aaron Liu**'s comments in #**mathlib4>deprecate Mathlib.Data.Nat.PartENat?@538009243** and #**Is there code for X?>Divergence monad@538020049** I made an attempt at constructing a monad for partial computations with a computable `OmegaCompletePartialOrder` instance (neither `Option` nor `Part` support this use case). My solution consists of three parts.
**A computable version of `Quotient.choice`.** As mentioned in #**lean4>Quot.lift for dependent products@467436416** , the "obvious" computational interpretation of `Quotient.choice : (∀i:I, @Quotient (A i) …) → @Quotient (∀i:I, A i)` is not sound. However, we _can_ provide a sound computational interpretation when we restrict `I` to `ℕ`:
```lean
unsafe def Quotient.countableChoice_impl {α : Nat → Type*} {S : ∀ i, Setoid (α i)}
(f : ∀ i, Quotient (S i)) :
@Quotient (∀ i, α i) (by infer_instance) :=
Quotient.lift₂
(fun z s ↦ ⟦fun | .zero => z | .succ n => s n⟧)
(fun z₁ s₁ z₂ s₂ h₁ h₂ ↦ by
apply sound
rintro ⟨_|n⟩
· apply h₁
· apply h₂)
(f 0)
(countableChoice_impl (fun n ↦ f n.succ))
@[implemented_by Quotient.countableChoice_impl]
def Quotient.countableChoice {α : Nat → Type*} {S : ∀ i, Setoid (α i)}
(f : ∀ i, Quotient (S i)) :
@Quotient (∀ i, α i) (by infer_instance) :=
Quotient.choice f
```
My justification for the soundness of this implementation comes from the fact that only uses existing (sound and computable) functions + general recursion. The implementation is found [here](https://github.com/YellPika/mathlib4/blob/99d38f164a97c7aa225283ef6016f0279419a994/Mathlib/Data/Quot.lean#L430) (it uses `unquot` instead of recursion for performance reasons, but should be equivalent).
**A type of semi-computable propositions.** Next, I define a type of semi-computable propositions `ΩProp` as a quotient of the type of boolean sequences `(ℕ → Bool) / ≈`, where `p ≈ q ≝ (∃n, p n) ↔ (∃n, q n)`. A sequence is interpreted as "true" if at least one element in the sequence is `true`, and the quotient relation ensures that we cannot observe the difference between different "true" sequences. The `ΩProp` type has a (computable) `OmegaCompletePartialOrder`, and `Quotient.countableChoice` is used in the implementation of `ωSup`.
The implementation of this type is [here](https://github.com/YellPika/mathlib4/blob/quot-choice-compute/Mathlib/Data/OmegaProp.lean).
**A type of semi-computable computations.** Finally, I define the type `ΩPart A` of semi-computable computations returning a value of type `A`. The definition of `ΩPart` is the same as `Part` with `ΩProp` swapped for `Prop`. Again, `ΩPart A` has a (computable) `OmegaCompletePartialOrder` instance. The implementation can be found [here](https://github.com/YellPika/mathlib4/blob/quot-choice-compute/Mathlib/Data/OmegaPart.lean).
This was mainly just a fun experiment and the code is not ready to be (or perhaps should not be) put in mathlib. I thought I should post it here to see if 1) there is any interest or 2) an implementation already exists that has escaped my notice. |
new-contributor
large-import
merge-conflict
|
1157/40 |
Mathlib/Data/OmegaPart.lean,Mathlib/Data/OmegaProp.lean,Mathlib/Data/Quot.lean,Mathlib/Order/OmegaCompletePartialOrder.lean,Mathlib/Order/ScottContinuity.lean |
5 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
124-47527 4 months ago |
unknown |
0-0 0 seconds |
| 34053 |
christian-oudard author:christian-oudard |
feat: Add error function (erf) and complementary error function (erfc) |
## Summary
I was doing some finance math and needed the Error Function, so I thought I'd contribute it.
### Main definitions
* `Real.erf`: The error function, defined as `(2/√π) ∫₀ˣ e^(-t²) dt`
* `Real.erfc`: The complementary error function, defined as `1 - erf x`
### Main results
* `Real.erf_zero`: `erf 0 = 0`
* `Real.erf_neg`: `erf` is an odd function: `erf (-x) = -erf x`
* `Real.erf_tendsto_one`: `erf x → 1` as `x → ∞`
* `Real.erf_tendsto_neg_one`: `erf x → -1` as `x → -∞`
* `Real.erf_le_one`: `erf x ≤ 1` for all `x`
* `Real.neg_one_le_erf`: `-1 ≤ erf x` for all `x`
* `Real.deriv_erf`: `deriv erf x = (2/√π) * exp(-x²)`
* `Real.differentiable_erf`: `erf` is differentiable
* `Real.continuous_erf`: `erf` is continuous
* `Real.strictMono_erf`: `erf` is strictly monotone
Also adds `erf` to `docs/overview.yaml` under Special Functions.
---
- [x] Builds successfully
- [x] `lake exe runLinter` passes
- [x] `lake exe mk_all --check` passes |
t-analysis
new-contributor
awaiting-author
|
333/0 |
Mathlib.lean,Mathlib/Analysis/SpecialFunctions/Erf.lean,docs/overview.yaml |
3 |
18 |
['SnirBroshi', 'christian-oudard', 'github-actions', 'j-loreaux', 'plp127'] |
j-loreaux assignee:j-loreaux |
124-20303 4 months ago |
124-57156 124 days ago |
14-69133 14 days |
| 33601 |
nielstron author:nielstron |
feat(Computability/ContextFreeGrammar): Concatenation of CFGs is CFG |
---
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- [ ] depends on: #33599
- [ ] depends on: #33592
[](https://gitpod.io/from-referrer/)
|
t-computability
new-contributor
blocked-by-other-PR
|
941/0 |
Mathlib/Computability/ContextFreeGrammar.lean |
1 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
123-84416 4 months ago |
153-68279 153 days ago |
0-412 6 minutes |
| 34726 |
GrigorenkoPV author:GrigorenkoPV |
feat(Analysis/SpecialFunctions/Trigonometric/Basic): sin and cos of multiples of π / 3 |
---
Merge of https://github.com/leanprover-community/mathlib4/pull/26349
<!-- Your PR title will become the first line of the commit message.
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|
new-contributor |
159/0 |
Mathlib/Algebra/Order/Monoid/NatCast.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Basic.lean,Mathlib/Data/Nat/Cast/Defs.lean,MathlibTest/trigonometry.lean |
4 |
1 |
['github-actions'] |
nobody |
122-43441 4 months ago |
122-43441 122 days ago |
3-20994 3 days |
| 34394 |
Citronhat author:Citronhat |
feat(Algebra/Order/Ring): add constructors for linear ordered rings |
Add constructors for ordered rings from `mul_nonneg` / `mul_pos` that derive `ZeroLEOneClass` from a linear order. |
new-contributor
t-algebra
awaiting-author
label:t-algebra$ |
31/14 |
Mathlib/Algebra/Order/Ring/Defs.lean,Mathlib/RingTheory/HahnSeries/Lex.lean |
2 |
6 |
['Citronhat', 'Vierkantor', 'github-actions', 'leanprover-radar'] |
Vierkantor assignee:Vierkantor |
121-76778 4 months ago |
121-76778 121 days ago |
12-25418 12 days |
| 33493 |
michelsol author:michelsol |
feat(RingTheory/Polynomial): An explicit formula for the Chebyshev polynomials of the first kind |
Adds the following explicit formula on the Chebyshev polynomial of the first kind of order n.
${ T_{n}(x)\ =\ \sum \limits _{k=0}^{\lfloor {\frac {n}{2}}\rfloor } {\binom {n}{2k}} \left(\ X^{2}-1\ \right)^{k}\ X^{n-2k}}$
This explicit formula can be found [here](https://en.wikipedia.org/wiki/Chebyshev_polynomials#Explicit_expressions). There is a proof using complex numbers but it only works if the ring R = ℂ.
The proof here is by induction and works in a commutative ring R.
Mathlib seems to extend the definition of Chebyshev polynomials for $n \in \mathbb{Z}$ but this would make the formula more cumbersome with `n.natAbs` in place of `n`'s, so I expressed it on `n : ℕ` directly.
---
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[](https://gitpod.io/from-referrer/)
|
t-ring-theory
new-contributor
awaiting-author
|
51/1 |
Mathlib/RingTheory/Polynomial/Chebyshev.lean |
1 |
8 |
['YuvalFilmus', 'erdOne', 'github-actions', 'metakunt', 'michelsol'] |
chrisflav assignee:chrisflav |
120-26617 4 months ago |
120-26617 120 days ago |
35-16105 35 days |
| 34815 |
Deep0Thinking author:Deep0Thinking |
feat(Analysis/SpecialFunctions/ImproperIntegrals): Frullani integral |
- [x] depends on: #34966
---
Add a proof of **Frullani integral**.
Main theorems:
- `Frullani.integral_Ioi`
- `IntegrableOn.tendsto_integral_Ioi`
- `exists_integral_div_eq_mul_log`
Supporting lemmas:
- `Frullani.comp_mul_left_div`
- `Frullani.intervalIntegrable_div`
- `Frullani.exists_integral_div_eq_mul_log`
- `Ioi_diff_Ioc`
- `ContinuousOn.comp_mul_left_div`, `ContinuousOn.comp_mul_right_div`
- `ContinuousOn.comp_mul_left`, `ContinuousOn.comp_mul_right`
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
large-import
t-analysis
awaiting-author
blocked-by-other-PR
|
270/2 |
Mathlib/Analysis/SpecialFunctions/ImproperIntegrals.lean,Mathlib/MeasureTheory/Integral/IntervalIntegral/MeanValue.lean,Mathlib/Topology/Algebra/GroupWithZero.lean,Mathlib/Topology/Algebra/Monoid.lean |
6 |
17 |
['CoolRmal', 'Deep0Thinking', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'sgouezel'] |
urkud assignee:urkud |
120-10332 4 months ago |
43-46782 43 days ago |
11-36072 11 days |
| 26986 |
WangYiran01 author:WangYiran01 |
feat(Partition): add bijection for partitions with max part ≤ r |
This PR adds a new theorem `partition_max_equals_bound` to `Mathlib.Combinatorics.Enumerative.Partition`.
It constructs a bijection between:
- The set of partitions of `n` in which `r ∈ π.parts` and all parts are `≤ r`, and
- The set of partitions of `n - r` whose largest part is at most `r`.
This provides a constructive proof via removing/adding `r` from/to the partition multiset, in line with classical enumerative combinatorics.
Contributed by Yiran Wang.
|
awaiting-author
t-combinatorics
new-contributor
merge-conflict
|
92/0 |
Mathlib/Combinatorics/Enumerative/Partition/Basic.lean,Mathlib/Data/Multiset/Lattice.lean |
2 |
20 |
['WangYiran01', 'github-actions', 'jcommelin', 'kckennylau', 'kim-em', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot'] |
b-mehta assignee:b-mehta |
117-61491 3 months ago |
150-84359 150 days ago |
120-67067 120 days |
| 26168 |
oliver-butterley author:oliver-butterley |
feat(MeasureTheory.VectorMeasure): variation defined as a supremum is equal to variation defined using the Hahn-Jordan decomposition |
Add `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
---
<!-- The text above the `---` will become the commit message when your
PR is merged. Please leave a blank newline before the `---`, otherwise
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[](https://gitpod.io/from-referrer/)
|
t-measure-probability
awaiting-author
merge-conflict
blocked-by-other-PR
new-contributor
|
916/0 |
Mathlib.lean,Mathlib/MeasureTheory/VectorMeasure/Decomposition/Jordan.lean,Mathlib/MeasureTheory/VectorMeasure/Variation/Equiv.lean |
5 |
7 |
['github-actions', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot', 'yoh-tanimoto'] |
nobody |
117-42480 3 months ago |
337-84747 337 days ago |
15-65390 15 days |
| 34722 |
GrigorenkoPV author:GrigorenkoPV |
feat(Data/Finset/RangeDistance): bound distance between elements of `Finset.range` |
---
Rebase of https://github.com/leanprover-community/mathlib4/pull/26347
<!-- Your PR title will become the first line of the commit message.
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[](https://gitpod.io/from-referrer/)
|
new-contributor
t-data
awaiting-author
|
34/0 |
Mathlib.lean,Mathlib/Algebra/Order/Group/Unbundled/Abs.lean,Mathlib/Data/Finset/RangeDistance.lean |
3 |
7 |
['GrigorenkoPV', 'Vierkantor', 'github-actions', 'joneugster', 'mathlib-splicebot', 'plp127'] |
pechersky assignee:pechersky |
117-27769 3 months ago |
73-51531 73 days ago |
52-18954 52 days |
| 33969 |
goliath-klein author:goliath-klein |
refactor(PiTensorProduct/{InjectiveNorm, ProjectiveNorm}): Currently, injectiveSeminorm = projectiveSeminorm |
**WIP / RFC!**
Arguably, `injectiveSeminorm` should be re-defined in Mathlib. See #34137 and [Zulip](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/injectiveSeminorm/with/568798261) for context.
In this file, we collect some results about the current definition and a possible alternative.
Contents:
* A theorem `injectiveSeminorm_eq_projectiveSeminorm` formalizing the equality of the current definitions. However, I think it is unlikely that keeping the alternative characterization would be worth the effort. The interesting direction `(L2') ≤ (L1)` follows from `norm_eval_le_projectiveSeminorm` which is still present. The converse direction is [somewhat tautological](https://github.com/leanprover-community/mathlib4/pull/34137). A proof of `(L2) = (L1)` (probably requiring Hahn-Banach) might be more interesting.
* A preliminary implementation of the injective seminorm as commonly understood.
* Sufficient conditions for the multiplicativity property `‖⨂ m i‖_∧ = ∏ ‖m i‖` to hold. This implements a TBD item.
---
Co-authored-by: Davood H. H. Tehrani
[](https://gitpod.io/from-referrer/)
|
WIP
t-analysis
new-contributor
large-import
merge-conflict
|
774/387 |
Mathlib.lean,Mathlib/Analysis/Normed/Module/Dual.lean,Mathlib/Analysis/Normed/Module/HahnBanach.lean,Mathlib/Analysis/Normed/Module/PiTensorProduct/InjectiveSeminorm.lean,Mathlib/Analysis/Normed/Module/PiTensorProduct/LeastReasonable.lean,Mathlib/Analysis/Normed/Module/PiTensorProduct/ProjectiveSeminorm.lean,Mathlib/Analysis/Normed/Operator/Basic.lean,Mathlib/LinearAlgebra/PiTensorProduct.lean |
8 |
3 |
['github-actions', 'goliath-klein', 'mathlib-merge-conflicts'] |
nobody |
116-44841 3 months ago |
144-59945 144 days ago |
0-23 23 seconds |
| 34725 |
GrigorenkoPV author:GrigorenkoPV |
feat(RingTheory/RootsOfUnity/LowDegree): quadratic, cubic, quartic, quintic roots of unity |
Closes https://github.com/leanprover-community/mathlib4/pull/25907
---
Merge of https://github.com/leanprover-community/mathlib4/pull/25907
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[](https://gitpod.io/from-referrer/)
|
new-contributor
t-ring-theory
awaiting-author
|
247/0 |
Mathlib.lean,Mathlib/Algebra/CharP/Invertible.lean,Mathlib/Algebra/QuadraticDiscriminant.lean,Mathlib/RingTheory/RootsOfUnity/LowDegree.lean |
4 |
22 |
['GrigorenkoPV', 'LLaurance', 'erdOne', 'github-actions', 'joneugster'] |
nobody |
115-38064 3 months ago |
120-27384 120 days ago |
5-38408 5 days |
| 33032 |
ksenono author:ksenono |
feat(Combinatorics/SimpleGraph): Konig’s theorem on bipartite graphs |
---
<!-- Your PR title will become the first line of the commit message.
Three additions:
* Combinatorics/SimpleGraph/Konig/Auxillary.lean
* Combinatorics/SimpleGraph/Konig/KonigFin.lean
* Combinatorics/SimpleGraph/Konig/Konig.lean
(all other changes are rebased from the PRs below)
- [ ] depends on: #30129
- [ ] depends on: #32552
- [ ] depends on: #32555
- [ ] depends on: #32570
-->
[](https://gitpod.io/from-referrer/)
|
t-combinatorics
new-contributor
blocked-by-other-PR
merge-conflict
|
832/251 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Bipartite.lean,Mathlib/Combinatorics/SimpleGraph/Clique.lean,Mathlib/Combinatorics/SimpleGraph/DegreeSum.lean,Mathlib/Combinatorics/SimpleGraph/Konig/Auxillary.lean,Mathlib/Combinatorics/SimpleGraph/Konig/Konig.lean,Mathlib/Combinatorics/SimpleGraph/Konig/KonigFin.lean,Mathlib/Combinatorics/SimpleGraph/Matching.lean,Mathlib/Combinatorics/SimpleGraph/Subgraph.lean,Mathlib/Combinatorics/SimpleGraph/VertexCover.lean,Mathlib/SetTheory/Cardinal/Arithmetic.lean,Mathlib/SetTheory/Cardinal/Basic.lean |
12 |
9 |
['SnirBroshi', 'github-actions', 'ksenono', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot', 'vlad902'] |
nobody |
115-21974 3 months ago |
172-4630 172 days ago |
0-136 2 minutes |
| 34159 |
wangying11123 author:wangying11123 |
feat(Geometry/Euclidean/Similarity): Add Triangle similarity on oangle |
Add theorems about triangles similarity on oangle |
t-euclidean-geometry
new-contributor
awaiting-author
|
154/1 |
Mathlib/Geometry/Euclidean/Similarity.lean |
1 |
8 |
['LLaurance', 'github-actions', 'jsm28', 'wangying11123'] |
jsm28 assignee:jsm28 |
114-72141 3 months ago |
115-32970 115 days ago |
7-49555 7 days |
| 33050 |
mkaratarakis author:mkaratarakis |
feat: lemmas for the analytic part of the proof of the Gelfond–Schneider theorem |
Lemmas missing for the formalisation of the proof of the Gelfond–Schneider theorem
---
<!-- Your PR title will become the first line of the commit message.
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[](https://gitpod.io/from-referrer/)
|
t-number-theory
new-contributor
WIP
|
238/0 |
Mathlib.lean,Mathlib/Analysis/Analytic/Basic.lean,Mathlib/Analysis/Analytic/Order.lean,Mathlib/Analysis/Complex/CauchyIntegral.lean,Mathlib/NumberTheory/Transcendental/AnalyticPart.lean,Mathlib/NumberTheory/Transcendental/AnalyticPart2.lean |
6 |
113 |
['SnirBroshi', 'github-actions', 'j-loreaux', 'mkaratarakis', 'riccardobrasca', 'vihdzp'] |
riccardobrasca assignee:riccardobrasca |
113-54521 3 months ago |
123-73778 123 days ago |
6-26337 6 days |
| 34814 |
GrigorenkoPV author:GrigorenkoPV |
feat(Tactic/ClearUnneeded): add `clear_unneeded` tactic |
---
The simplest version suggested in https://github.com/leanprover-community/mathlib4/issues/25319
<!-- Your PR title will become the first line of the commit message.
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[](https://gitpod.io/from-referrer/)
|
t-meta
new-contributor
please-merge-master
awaiting-author
|
94/0 |
Mathlib.lean,Mathlib/Tactic.lean,Mathlib/Tactic/ClearUnneeded.lean,Mathlib/Tactic/Common.lean,MathlibTest/ClearUnneeded.lean,scripts/noshake.json |
6 |
12 |
['BoltonBailey', 'GrigorenkoPV', 'github-actions', 'joneugster'] |
joneugster assignee:joneugster |
113-41585 3 months ago |
121-64958 121 days ago |
2-23785 2 days |
| 34876 |
GrigorenkoPV author:GrigorenkoPV |
feat(Tactic/AssumptionQuestion): add `assumption?` tactic |
---
As requested in #10361
TODO: maybe add some tests?
<!-- Your PR title will become the first line of the commit message.
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[](https://gitpod.io/from-referrer/)
|
t-meta
new-contributor
awaiting-author
|
85/0 |
Mathlib.lean,Mathlib/Tactic.lean,Mathlib/Tactic/AssumptionQuestion.lean,Mathlib/Tactic/Common.lean,MathlibTest/AssumptionQuestion.lean,scripts/noshake.json |
6 |
5 |
['GrigorenkoPV', 'SnirBroshi', 'github-actions', 'joneugster'] |
joneugster assignee:joneugster |
113-40160 3 months ago |
121-63148 121 days ago |
0-83167 23 hours |
| 33217 |
Blackfeather007 author:Blackfeather007 |
feat(Algebra): define associated graded structure for abelian group |
In this PR we define the associated graded structure for abelian group when given a filtration and only give some basic lemmas about it.
---
migrated from https://github.com/leanprover-community/mathlib4/pull/26857
|
new-contributor
t-ring-theory
awaiting-author
|
144/0 |
Mathlib.lean,Mathlib/RingTheory/FilteredAlgebra/AssociatedGraded.lean |
2 |
13 |
['Blackfeather007', 'chrisflav', 'erdOne', 'eric-wieser', 'github-actions', 'urkud'] |
erdOne assignee:erdOne |
113-27741 3 months ago |
162-42137 162 days ago |
4-58698 4 days |
| 23791 |
SEU-Prime author:SEU-Prime |
Create AmiceTrans.lean |
---
<!-- The text above the `---` will become the commit message when your
PR is merged. Please leave a blank newline before the `---`, otherwise
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
WIP
t-number-theory
new-contributor
|
2963/0 |
Mathlib.lean,Mathlib/Analysis/Normed/Ring/Lemmas2.lean,Mathlib/NumberTheory/Padics/AmiceTrans.lean,Mathlib/NumberTheory/Padics/PSAC.lean,Mathlib/NumberTheory/Padics/PSAC2.lean,Mathlib/NumberTheory/Padics/PSAC3.lean,Mathlib/NumberTheory/Padics/PiGammainPS.lean,Mathlib/NumberTheory/Padics/PsiandVar.lean,Mathlib/RingTheory/AdicCompletion/Lemma.lean,Mathlib/RingTheory/PowerSeries/Comp.lean,Mathlib/Topology/ContinuousMap/ZeroAtBot.lean |
11 |
5 |
['SEU-Prime', 'github-actions', 'leanprover-community-bot-assistant', 'urkud'] |
nobody |
113-26805 3 months ago |
426-59471 426 days ago |
0-38 38 seconds |
| 33281 |
michelsol author:michelsol |
feat(Analysis/SpecialFunctions/Integrals): integral of 1/sqrt(1-x^2) and its integrability. |
Add the integral of the derivative of arcsin and its integrability.
---
- [ ] depends on: #33280
<!-- Your PR title will become the first line of the commit message.
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|
new-contributor
merge-conflict
t-analysis
|
59/0 |
Mathlib/Analysis/SpecialFunctions/Integrability/Basic.lean,Mathlib/Analysis/SpecialFunctions/Integrals/Basic.lean,Mathlib/MeasureTheory/Integral/IntervalIntegral/FundThmCalculus.lean |
3 |
3 |
['github-actions', 'mathlib-dependent-issues', 'mathlib4-merge-conflict-bot'] |
nobody |
112-82828 3 months ago |
164-50653 164 days ago |
0-2872 47 minutes |
| 32918 |
michelsol author:michelsol |
feat: define `supEdist` and `supDist` |
Create a new file Topology.MetricSpace.SupDistance and define the supremal distance in (extended) metric spaces. The defined `supEdist` and `supDist` will have similar theory to the already existing `infEdist` and `infDist`. The motivation is to be able to define the radius of a minimal bounding sphere as the infimum of the supDist later.
[zulip discussion here](https://leanprover.zulipchat.com/#narrow/channel/116395-maths/topic/Formalizing.20Jung's.20theorem.20and.20minimal.20bounding.20spheres) |
t-topology
new-contributor
merge-conflict
|
75/0 |
Mathlib.lean,Mathlib/Topology/MetricSpace/SupDistance.lean |
2 |
5 |
['github-actions', 'mathlib4-merge-conflict-bot', 'michelsol', 'urkud'] |
nobody |
111-52927 3 months ago |
153-45312 153 days ago |
21-3598 21 days |
| 33712 |
wangying11123 author:wangying11123 |
feat(Geometry/Euclidean/Angle/Unoriented/Projection): Add sameray_orthogonalProjection_vsub_of_angle_lt |
Add sameray_orthogonalProjection_vsub_of_angle_lt
`sameray_orthogonalProjection_vsub_of_angle_lt`
When an angle is acute, the vector to the orthogonal projection lies in the same ray as the given direction vector. |
new-contributor
t-euclidean-geometry
awaiting-author
|
20/0 |
Mathlib/Geometry/Euclidean/Angle/Unoriented/Projection.lean |
1 |
4 |
['JovanGerb', 'github-actions', 'j-loreaux'] |
JovanGerb assignee:JovanGerb |
110-62758 3 months ago |
110-62858 110 days ago |
39-6778 39 days |
| 30667 |
FrederickPu author:FrederickPu |
feat(Mathlib/Algebra/Group/Subgroup/Pointwise): subgroup mul |
Title:
feat: pointwise products for subgroups
Description:
showed the point-wise product of disjoint subgroups is equivalent to their Cartesian product. Based on https://leanprover.zulipchat.com/#narrow/channel/113488-general/topic/useful.20group.20theory.20lemmas/with/546738566.
---
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|
t-algebra
new-contributor
label:t-algebra$ |
28/0 |
Mathlib/Algebra/Group/Subgroup/Pointwise.lean |
1 |
23 |
['FrederickPu', 'eric-wieser', 'github-actions', 'plp127', 'tb65536'] |
nobody |
110-61267 3 months ago |
110-65901 110 days ago |
1-21290 1 day |
| 33793 |
LTolDe author:LTolDe |
feat(MeasureTheory/Constructions/Polish/Basic): add lemma AnalyticSet.inter_nonempty_of_nowhereMeagre |
add lemma AnalyticSet.inter_nonempty_of_nowhereMeagre, the main ingredient for the proof of the **Effros' Theorem**, see [#mathlib4 > Effros Theorem](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Effros.20Theorem/with/566543328)
introduce definition of a nowhere meagre set
---
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t-measure-probability
new-contributor
awaiting-author
|
37/0 |
Mathlib/MeasureTheory/Constructions/Polish/Basic.lean,Mathlib/Order/Filter/Basic.lean,Mathlib/Topology/GDelta/Basic.lean |
3 |
8 |
['MichaelStollBayreuth', 'erdOne', 'github-actions', 'j-loreaux'] |
kex-y assignee:kex-y |
110-57024 3 months ago |
110-57230 110 days ago |
39-9555 39 days |
| 35313 |
LexinonCraft author:LexinonCraft |
feat: IMO 2025 Q4 |
This adds a solution for problem 4 from the International Math Olympiad 2025.
--- |
IMO
new-contributor
awaiting-author
|
631/0 |
Archive.lean,Archive/Imo/Imo2025Q4.lean |
2 |
4 |
['LexinonCraft', 'github-actions', 'jsm28'] |
jsm28 assignee:jsm28 |
110-26898 3 months ago |
110-26898 110 days ago |
3-30421 3 days |
| 33276 |
NicolaBernini author:NicolaBernini |
feat: Rename List.reverse_perm to List.reverse_perm_self and List.reverse_perm' to List.reverse_perm_iff |
---
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|
new-contributor
awaiting-author
t-data
merge-conflict
|
17/15 |
Mathlib/Algebra/BigOperators/Group/List/Basic.lean,Mathlib/Data/Finset/Dedup.lean,Mathlib/Data/List/Basic.lean,Mathlib/Data/List/Defs.lean,Mathlib/Data/List/Perm/Lattice.lean,Mathlib/Data/List/Permutation.lean,Mathlib/Data/Multiset/Defs.lean,Mathlib/NumberTheory/Divisors.lean |
8 |
5 |
['Ruben-VandeVelde', 'github-actions', 'mathlib-merge-conflicts'] |
kim-em assignee:kim-em |
110-10642 3 months ago |
160-75315 160 days ago |
4-4467 4 days |
| 34674 |
Citronhat author:Citronhat |
feat(Algebra/Order/Ring): replace ENNReal lemmas with WithTop versions |
* Add `WithTop` versions of basic multiplicative order lemmas.
* Use the new `WithTop` lemmas to replace `ENNReal` proofs and address six TODOs.
* Fix a typo in the `pos_of_ne_zero` alias name. |
new-contributor
t-algebra
merge-conflict
label:t-algebra$ |
46/15 |
Mathlib/Algebra/Order/Monoid/Canonical/Defs.lean,Mathlib/Algebra/Order/Ring/WithTop.lean,Mathlib/Data/ENNReal/Operations.lean |
3 |
5 |
['Citronhat', 'Ruben-VandeVelde', 'github-actions', 'mathlib-merge-conflicts'] |
Ruben-VandeVelde assignee:Ruben-VandeVelde |
109-76776 3 months ago |
109-76777 109 days ago |
17-1225 17 days |
| 28246 |
Sebi-Kumar author:Sebi-Kumar |
feat(AlgebraicTopology/FundamentalGroupoid): the n-sphere is simply connected for n > 1 |
Prove that the `n`-dimensional sphere (i.e., the unit sphere centered at the origin in `(n + 1)`-dimensional real Euclidean space) is a simply connected space for `n > 1`. This proof follows Hatcher's "Algebraic Topology"; we first prove a general lemma about decomposing loops and then exploit the fact that non-surjective loops in the sphere are homotopically trivial.
Note: To get this file to build, I edited `Mathlib/Tactic/Linter/DirectoryDependency.lean` to remove the restrictions on AlgebraicTopology files importing Geometry, NumberTheory, and FieldTheory files. Thank you to those who shared their expertise [here](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Warning.20that.20AlgebraicTopology.20can't.20import.20SetTheory/with/533833638). As I understand it, this is just a short-term solution, so I would appreciate feedback on what to do about this situation.
Note: I am unsure where exactly the file `SimplyConnectedSphere.lean` should go or whether that is an appropriate name for the file, so feedback there would be appreciated.
---
To provide additional context, this code was written as a part of the Fields Undergraduate Summer Research Program at the University of Western Ontario under the supervision of Chris Kapulkin and Daniel Carranza.
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|
t-algebraic-topology
new-contributor
awaiting-author
|
343/3 |
Mathlib.lean,Mathlib/AlgebraicTopology/FundamentalGroupoid/SimplyConnectedSphere.lean,Mathlib/Tactic/Linter/DirectoryDependency.lean |
3 |
17 |
['dagurtomas', 'github-actions', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot', 'robin-carlier'] |
robin-carlier assignee:robin-carlier |
107-74562 3 months ago |
107-74562 107 days ago |
13-72199 13 days |
| 33746 |
ster-oc author:ster-oc |
feat(Algebra/Module/ZLattice): align `ZSpan.floor` to `Int.floor` API |
This PR adds some of the existent lemmas about `Int.floor`, `Int.ceil` and `Int.fract` to the `ZSpan` namespace.
---
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t-algebra
new-contributor
merge-conflict
label:t-algebra$ |
353/145 |
Mathlib/Algebra/Module/ZLattice/Basic.lean,Mathlib/Algebra/Order/Floor/Ring.lean,Mathlib/Topology/Algebra/Order/Floor.lean |
3 |
8 |
['github-actions', 'joelriou', 'mathlib-merge-conflicts', 'ster-oc'] |
joelriou assignee:joelriou |
105-7274 3 months ago |
105-7274 105 days ago |
30-23357 30 days |
| 31766 |
SuccessMoses author:SuccessMoses |
feat(Topology/EMetricSpace): continuity of arc length |
fixes half of #31751
---
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new-contributor
t-topology
awaiting-author
merge-conflict
|
396/0 |
Mathlib.lean,Mathlib/Topology/EMetricSpace/ArcLength.lean,Mathlib/Topology/EMetricSpace/BoundedVariation.lean |
3 |
40 |
['SnirBroshi', 'SuccessMoses', 'alreadydone', 'github-actions', 'grunweg', 'j-loreaux', 'mathlib-merge-conflicts'] |
nobody |
104-38971 3 months ago |
180-39841 180 days ago |
2-77113 2 days |
| 34419 |
ster-oc author:ster-oc |
feat(RCLike): add `Continuous.re` and similar |
This PR adds dot notation for `re`, `im`, `conj` and `ofReal` for `Continuous`, `LipschitzWith` and `Memℓp`.
Given `hf : Continuous f` it allows to use `hf.re` to express `Continuous (fun x ↦ (f x).re)`, similarly to the usual `hf.add hg`.
I also can add the same features for `Summable` but I am not sure where to place them, suggestions are appreciated!
---
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t-analysis
new-contributor
awaiting-author
merge-conflict
|
186/41 |
Mathlib/Analysis/Normed/Group/Uniform.lean,Mathlib/Analysis/Normed/Lp/lpSpace.lean,Mathlib/Analysis/RCLike/Basic.lean |
3 |
15 |
['github-actions', 'j-loreaux', 'mathlib-merge-conflicts', 'ster-oc'] |
j-loreaux assignee:j-loreaux |
103-51069 3 months ago |
103-51069 103 days ago |
8-29654 8 days |
| 34853 |
GrigorenkoPV author:GrigorenkoPV |
feat(Combinatorics/Enumerative/Catalan): ratio of subsequent Catalan numbers |
---
Should I split this into 2 PRs? Otherwise it'll get squashed & be less concise.
UPD: ok, I've opened #34854
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new-contributor
merge-conflict
|
305/195 |
Mathlib.lean,Mathlib/Combinatorics/Enumerative/Catalan.lean,Mathlib/Combinatorics/Enumerative/Catalan/Basic.lean,Mathlib/Combinatorics/Enumerative/Catalan/Ratio.lean,Mathlib/Combinatorics/Enumerative/Catalan/Tree.lean,Mathlib/Combinatorics/Enumerative/DyckWord.lean,Mathlib/RingTheory/PowerSeries/Catalan.lean |
7 |
6 |
['github-actions', 'mathlib-merge-conflicts', 'vihdzp'] |
nobody |
103-34930 3 months ago |
121-62615 121 days ago |
1-62439 1 day |
| 35755 |
Vilin97 author:Vilin97 |
feat(Analysis/ODE): forward Euler method convergence |
WIP
Prove the convergence of the Forward Euler Method. This is the first theorem in most textbooks on numerical analysis for ODEs.
---
The initial proof was produced by [Aristotle](https://aristotle.harmonic.fun). The code was then iteratively refined (factoring out lemmas, golfing, simplifying proofs) using Claude Code (Claude Opus 4.6).
* [ ] depends on: #35753 |
new-contributor
WIP
LLM-generated
merge-conflict
|
297/0 |
Mathlib.lean,Mathlib/Analysis/ODE/EulerMethod.lean,Mathlib/Topology/Algebra/Order/PiecewiseLinear.lean |
4 |
7 |
['Vilin97', 'eric-wieser', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
102-85777 3 months ago |
103-1588 103 days ago |
0-674 11 minutes |
| 20238 |
maemre author:maemre |
feat(Computability/DFA): Closure of regular languages under some set operations |
This shows that regular languages are closed under complement and intersection by constructing DFAs for them.
---
Closure under all other operations will be proved when someone adds the proof for DFA<->regular expression equivalence, so they are not part of this PR.
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[](https://gitpod.io/from-referrer/)
|
new-contributor
t-computability
merge-conflict
awaiting-author
awaiting-zulip
|
159/0 |
Mathlib/Computability/DFA.lean,Mathlib/Computability/Language.lean |
2 |
60 |
['EtienneC30', 'YaelDillies', 'github-actions', 'maemre', 'mathlib4-merge-conflict-bot', 'meithecatte', 'urkud'] |
nobody |
101-83712 3 months ago |
447-61651 447 days ago |
48-67492 48 days |
| 22361 |
rudynicolop author:rudynicolop |
feat(Computability/NFA): nfa closure properties |
Add the closure properties union, intersection and reversal for NFA.
---
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[](https://gitpod.io/from-referrer/)
|
new-contributor
t-computability
merge-conflict
awaiting-author
awaiting-zulip
|
218/2 |
Mathlib/Computability/Language.lean,Mathlib/Computability/NFA.lean |
2 |
91 |
['EtienneC30', 'b-mehta', 'ctchou', 'github-actions', 'leanprover-community-bot-assistant', 'meithecatte', 'rudynicolop'] |
nobody |
101-83696 3 months ago |
398-65590 398 days ago |
39-60525 39 days |
| 30872 |
rudynicolop author:rudynicolop |
feat(Computability/NFA): NFA closure under concatenation |
This PR proves that regular languages are closed under concatenation via a direct construction on `NFA`s without `εNFA` nor ε-transitions. The main new definitions and results include:
- `M1.concat M2`, the concatenation of `NFA`s `M1` and `M2`, a direct construction without ε-transitions.
- Theorem `accepts_concat : (M1.concat M2).accepts = M1.accepts * M2.accepts`, showing the correctness of the construction.
- Theorem `IsRegular.mul`, showing that regular languages are closed under concatenation.
---
- [x] depends on: #31038
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[](https://gitpod.io/from-referrer/)
|
t-computability
new-contributor
awaiting-author
|
104/7 |
Mathlib/Computability/NFA.lean |
1 |
67 |
['YaelDillies', 'ctchou', 'eric-wieser', 'github-actions', 'lambda-fairy', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot', 'rudynicolop'] |
nobody |
101-63567 3 months ago |
129-46976 129 days ago |
59-63565 59 days |
| 35746 |
ThomasMoulin-hub author:ThomasMoulin-hub |
feat (Algebra/Endomorphisms): add kernels lemma from the missing undergraduate mathematics in mathlib |
Add helper theorem inside Mathlib.Algebra.Polynomial.Smeval.lean and created a new file Mathlib/RingTheory/Polynomial/KernelDecomposition.lean that implements the kernels lemma from the missing undergraduate mathematics in mathlib list. This file also contains intermediate results needed for the main lemma. |
new-contributor |
75/0 |
Mathlib/Algebra/Polynomial/Smeval.lean,Mathlib/RingTheory/Polynomial/Basic.lean |
2 |
2 |
['github-actions'] |
nobody |
101-35136 3 months ago |
unknown |
0-0 0 seconds |
| 23929 |
meithecatte author:meithecatte |
feat(Computability/NFA): improve bound on pumping lemma |
---
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- [x] depends on: #25321
[](https://gitpod.io/from-referrer/)
|
t-computability
awaiting-zulip
new-contributor
awaiting-author
|
101/10 |
Mathlib/Computability/EpsilonNFA.lean,Mathlib/Computability/NFA.lean |
2 |
42 |
['YaelDillies', 'dagurtomas', 'github-actions', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot', 'meithecatte'] |
nobody |
101-17325 3 months ago |
365-46624 365 days ago |
34-10092 34 days |
| 35128 |
DAE123456 author:DAE123456 |
feat : Define anti_pascal |
---
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[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
awaiting-author
label:t-algebra$ |
81/0 |
Archive.lean,Archive/Imo/Imo2018Q3.lean |
2 |
5 |
['DAE123456', 'github-actions', 'grunweg', 'vihdzp'] |
nobody |
101-14851 3 months ago |
116-69415 116 days ago |
0-1613 26 minutes |
| 8102 |
miguelmarco author:miguelmarco |
feat(Tactic): add `unify_denoms` and `collect_signs` tactics |
This PR adds four new tactics:
- `unify_denoms` tries to put expressions with several divisions in a form with only one division. In the case of fields, it works similarly to `field_simp`, but if the hypothesis about denominators being nonzero are not present, it assumes them, and leaves them as new goals to prove. In that sense, it is an "unsafe" tactic (but can be useful nevertheless, for example when you can't find which exact hypothesis is missing). It also works with expressions of naturals and Euclidean domains, assuming the corresponding hypothesis about the denominators dividing the numerators.
- `unify_denoms!` extends `unify_denoms` to work with (in)equalities, assuming also that the denominators, once in normal form, are positive.
- `collect_signs` works similarly with expressions using sums and substractions: it tries to put them in a form of one sum minus other sum. In the case of working with naturals, it assumes that we never substract a bigger number from a smaller one.
Both are implemented essentially as a macro that combines several rewriting rules. Some new lemmas with the corresponding rules are added.
--- |
please-adopt
new-contributor
merge-conflict
modifies-tactic-syntax
good first issue
t-meta
|
407/0 |
Mathlib.lean,Mathlib/Algebra/EuclideanDomain/Basic.lean,Mathlib/Tactic.lean,Mathlib/Tactic/CollectSigns.lean,Mathlib/Tactic/UnifyDenoms.lean,MathlibTest/unify_denoms.lean,scripts/noshake.json |
7 |
55 |
['Paul-Lez', 'YaelDillies', 'github-actions', 'joneugster', 'kbuzzard', 'mathlib4-merge-conflict-bot', 'miguelmarco'] |
nobody |
100-68023 3 months ago |
389-50495 389 days ago |
17-14109 17 days |
| 35603 |
2500223210-max author:2500223210-max |
feat(GroupTheory/Frattini): add more theorems |
Add some contents about frattini subgroup into Mathlib GroupTheory Frattini.lean,including
* (convenient lemma)A subgroup contained in all maximal subgroup is contained in
the FRattini subgroup
* A subgroup (say H) has a proper complement (meaning for some proper subgroup K,
K and H generate the whole group)if and only if it is not contained
in the Frattini subgroup.
* A group is cyclic iff its Frattini factor(the quotient group wrt Frattini subgroup)
is cyclic.
* The Frattini factor of a finite p-group is elementary abelian(that is,an abelian
group G with Gᵖ={1})
* A finite p-group has trivial Frattini subgroup iff the group is elementary abelian.
* Burnside theorem of Frattini factor of finite p-group.
---
|
new-contributor
t-group-theory
large-import
awaiting-author
|
764/1 |
Mathlib/GroupTheory/Frattini.lean |
1 |
3 |
['github-actions', 'tb65536'] |
nobody |
100-65704 3 months ago |
100-65704 100 days ago |
5-73876 5 days |
| 33791 |
PhoenixIra author:PhoenixIra |
feat: Generalization of FixedPointApproximants to CompletePartialOrder |
---
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This PR provides a generalization of FixedPointApproximants to CompletePartialOrder. Not every theorem can be generalized, as sometimes we require additional conditions (namely `x ≤ f x`) in order to guarantee that the set is directed and thus the supremum is well-defined. This is not necessary in a CompleteLattice.
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-order
merge-conflict
|
223/100 |
Mathlib/Order/CompletePartialOrder.lean,Mathlib/SetTheory/Ordinal/FixedPointApproximants.lean |
2 |
21 |
['PhoenixIra', 'github-actions', 'mathlib-merge-conflicts', 'vihdzp'] |
PhoenixIra and vihdzp assignee:PhoenixIra assignee:vihdzp |
100-44008 3 months ago |
100-44008 100 days ago |
44-16098 44 days |
| 35857 |
AlexeyMilovanov author:AlexeyMilovanov |
feat(Logic.Equiv.BijectiveBase2): add bijective base-2 numeration |
This PR introduces a formalization of the bijective base-2 numeration system.
Unlike standard binary representation, bijective base-2 avoids the "leading zeros" problem, providing a strict mathematical bijection between natural numbers (`ℕ`) and lists of booleans (`List Bool`).
**Main additions:**
* `Equiv.BijectiveBase2.toBits`: Encodes `ℕ` to `List Bool`.
* `Equiv.BijectiveBase2.ofBits`: Decodes `List Bool` to `ℕ`.
* `equivBijectiveBase2`: The formal `ℕ ≃ List Bool` equivalence.
---
Zulip: [#PR reviews > PR #35857: Bijective Base-2 Numeration](https://leanprover.zulipchat.com/#narrow/channel/144837-PR-reviews/topic/PR.20.2335857.3A.20Bijective.20Base-2.20Numeration/with/576336540)
Zulip: [#batteries > Upstreaming Nat.Bits](https://leanprover.zulipchat.com/#narrow/channel/348111-batteries/topic/Upstreaming.20Nat.2EBits/with/580736051)
*(Note: This replaces my previously closed PR to avoid the terminology clash between "Dyadic" and dyadic rationals. The namespace and definitions have been updated accordingly).*
*(Note: Used AI to assist with standardizing proof structures).* |
t-logic
new-contributor
LLM-generated
blocked-by-batt-PR
|
95/0 |
Mathlib.lean,Mathlib/Logic/Equiv/ListNatBijective.lean |
2 |
6 |
['AlexeyMilovanov', 'SnirBroshi', 'github-actions', 'joneugster'] |
nobody |
100-40079 3 months ago |
72-76302 72 days ago |
27-59600 27 days |
| 35376 |
michaellee94 author:michaellee94 |
feat(Geometry/Manifold): orientable manifolds |
---
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[](https://gitpod.io/from-referrer/)
|
new-contributor
WIP
t-differential-geometry
merge-conflict
awaiting-author
|
2116/11 |
Mathlib.lean,Mathlib/Geometry/Manifold/Instances/MoebiusBand.lean,Mathlib/Geometry/Manifold/Instances/Real.lean,Mathlib/Geometry/Manifold/IsManifold/ExtChartAt.lean,Mathlib/Geometry/Manifold/IsManifold/InteriorBoundary.lean,Mathlib/Geometry/Manifold/Orientation.lean,Mathlib/Topology/Closure.lean |
7 |
8 |
['Rida-Hamadani', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
99-34284 3 months ago |
112-53730 112 days ago |
0-100 1 minute |
| 26013 |
tsuki8 author:tsuki8 |
feat(Data/Finset/Card,Data/Set/Finite/Basic): TODO needs a better title |
add `card_bijOn` and `finset_subset_preimage_of_finite_image`
Add `card_bijOn`: proves that for a bijection between finsets, their cardinalities are equal
Add `finset_subset_preimage_of_finite_image`: constructs a finset subset preserving image cardinality
Co-authored-by: Junyu Guo <hagb@hagb.name>
---
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[](https://gitpod.io/from-referrer/)
|
awaiting-author
t-data
new-contributor
|
15/0 |
Mathlib/Data/Finset/Card.lean,Mathlib/Data/Set/Finite/Basic.lean |
2 |
6 |
['Ruben-VandeVelde', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
98-19019 3 months ago |
341-85152 341 days ago |
13-85893 13 days |
| 35805 |
adrianmartir author:adrianmartir |
feat(NumberTheory/Divisors): Add `infinite_setOf_divisors_iff` |
This proves that the set of divisors `{ m | m | n }` of a natural number `n` is infinite if and only if `n` is zero. The first proof draft was by @Aristotle-Harmonic.
---
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-->
[](https://gitpod.io/from-referrer/)
|
t-number-theory
new-contributor
awaiting-author
|
10/0 |
Mathlib/NumberTheory/Divisors.lean |
1 |
6 |
['adrianmartir', 'alexjbest', 'github-actions', 'tb65536'] |
tb65536 assignee:tb65536 |
97-82745 3 months ago |
74-62085 74 days ago |
27-18698 27 days |
| 35442 |
dhyan-aranha author:dhyan-aranha |
feat: Affine line with doubled origin counter example |
---
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|
new-contributor
awaiting-author
t-algebraic-geometry
|
305/0 |
Counterexamples.lean,Counterexamples/AffineLineWithDoubledOrigin.lean,Mathlib/AlgebraicGeometry/Limits.lean,Mathlib/Topology/Category/TopCat/Limits/Pullbacks.lean |
4 |
21 |
['BryceT233', 'chrisflav', 'dhyan-aranha', 'github-actions'] |
nobody |
97-78349 3 months ago |
110-66354 110 days ago |
0-5488 1 hour |
| 29713 |
jessealama author:jessealama |
feat(Algebra/Homology): add Euler–Poincaré formula |
This PR builds on the generalized Euler characteristic framework from #31121 to prove the Euler-Poincaré formula for chain complexes.
PR #31121 defines the Euler characteristic for general homological complexes. This PR specializes those definitions to ℤ-indexed chain complexes and proves the main Euler-Poincaré theorem.
### Main result (in `EulerPoincare.lean`)
* `ChainComplex.eulerChar_eq_homologyEulerChar`: For ℤ-indexed bounded chain complexes of finite-dimensional modules over a division ring, the alternating sum of chain dimensions equals the alternating sum of homology dimensions.
### Supporting lemmas
The file also provides dimension lemmas generalized to arbitrary `HomologicalComplex (ModuleCat k) c` (not just ℤ-indexed chain complexes):
* `HomologicalComplex.dFrom_zero_range` / `dTo_zero_range`: zero range when the target/source object is zero
* `HomologicalComplex.dFrom_range_finrank_eq_d` / `dTo_range_finrank_eq_d`: range of `dFrom`/`dTo` has the same dimension as the underlying differential
* `HomologicalComplex.range_dTo_le_ker_dFrom`: range of `dTo` is contained in the kernel of `dFrom`
---
- [ ] depends on: #38483 (`Antiperiodic.sum_Ico_shift` and bilinear cancellation lemma)
Builds on: #31121
Related to: #29639, #29643, #29646 |
awaiting-author
t-algebra
new-contributor
blocked-by-other-PR
label:t-algebra$ |
428/0 |
Mathlib.lean,Mathlib/Algebra/BigOperators/Periodic.lean,Mathlib/Algebra/Homology/EulerPoincare.lean |
2 |
26 |
['github-actions', 'jessealama', 'joelriou', 'kim-em', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot'] |
nobody |
97-73673 3 months ago |
226-2445 226 days ago |
35-45800 35 days |
| 28286 |
bwangpj author:bwangpj |
feat(Geometry/Manifold/ContMDiff): basic lemmas for analytic (`C^ω`) functions |
Add basic lemmas relating `ContMDiff` in the `C^ω` case to being `Analytic` on charts.
This is upstreamed from [https://github.com/girving/ray](https://github.com/girving/ray).
Co-authored-by: Geoffrey Irving <irving@naml.us>
---
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|
awaiting-author
t-differential-geometry
new-contributor
|
36/0 |
Mathlib/Geometry/Manifold/ContMDiff/Defs.lean |
1 |
14 |
['bwangpj', 'girving', 'github-actions', 'grunweg', 'kbuzzard', 'mathlib-merge-conflicts', 'sgouezel'] |
sgouezel assignee:sgouezel |
97-4487 3 months ago |
272-837 272 days ago |
27-52841 27 days |
| 34138 |
pfaffelh author:pfaffelh |
feat(MeasureTheory): Introduce `DiscreteMeasure α` giving rise to a `Measure α` as a sum of `dirac`s |
Define `DiscreteMeasure α` as a structure with `weight : α → ℝ≥0∞`
Define `toMeasure (w : DiscreteMeasure α) : Measure α` as a sum of diracs
Show properties of the resulting objects
This PR intends to start a more userfriendly interaction with discrete probability (measure) theory, in contrast to probability mass functions (`PMF`). There are two main differences between `DiscreteMeasure` and `PMF`:
* Every `PMF` hast the additional property `HasSum 1`, making the resulting measure a probability measure. (For `DiscreteMeasure`, I intend to use the typeclass `IsProbabilityMeasure`in a later PR instead.)
* The `toMeasure` function of `MassFunction` defines the measure as a sum of diracs, which immediately makes computations possible.
Discussion thread on [zulip](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/PMF.20Refactor.3A.20FunLike.20vs.20Definition.20Change)
- depends on: #37060
---
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|
t-measure-probability
new-contributor
|
224/0 |
Mathlib.lean,Mathlib/Algebra/GroupWithZero/Indicator.lean,Mathlib/Data/Set/Pairwise/Basic.lean,Mathlib/MeasureTheory/Measure/DiscreteMeasure.lean |
4 |
27 |
['DavidLedvinka', 'eric-wieser', 'github-actions', 'mathlib-merge-conflicts', 'metakunt', 'ocfnash', 'pfaffelh'] |
ocfnash assignee:ocfnash |
95-75117 3 months ago |
48-34969 48 days ago |
82-19320 82 days |
| 34940 |
michaellee94 author:michaellee94 |
feat: the graph of a continuous function on a $C^n$ manifold is a $C^n$ manifold |
---
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[](https://gitpod.io/from-referrer/)
|
t-differential-geometry
new-contributor
awaiting-author
merge-conflict
|
536/0 |
Mathlib.lean,Mathlib/Geometry/Manifold/ChartedSpace.lean,Mathlib/Geometry/Manifold/Instances/Graph.lean,Mathlib/Geometry/Manifold/IsManifold/Basic.lean,Mathlib/Topology/Constructions/Graph.lean |
5 |
80 |
['botbaki-review', 'github-actions', 'grunweg', 'mathlib-merge-conflicts', 'michaellee94', 'ocfnash'] |
ocfnash assignee:ocfnash |
94-61147 3 months ago |
96-41342 96 days ago |
15-5284 15 days |
| 35193 |
Brian-Nugent author:Brian-Nugent |
feat(Topology/Closeds): implement category of closed sets in topological spaces |
I copied over the nice API for working with `TopologicalSpace.Opens` as a category over for `TopologicalSpace.Closeds`. The only thing that did not immediately transfer was `Topology.IsInducing.functorObj` so I omitted it.
Based on work of @kim-em
---
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|
t-topology
new-contributor
please-adopt
merge-conflict
awaiting-author
|
385/0 |
Mathlib.lean,Mathlib/Topology/Category/TopCat/Closeds.lean,Mathlib/Topology/Category/TopCat/Opens.lean |
2 |
24 |
['Brian-Nugent', 'dagurtomas', 'github-actions', 'mathlib-merge-conflicts'] |
dagurtomas assignee:dagurtomas |
94-60293 3 months ago |
79-60366 79 days ago |
17-64811 17 days |
| 35332 |
yisiox author:yisiox |
feat(Computability): regular expressions match a regular language |
This PR adds a proof that the language matched by a regular expression is a regular language.
This is achieved by the following constructions and proofs of their correctness
- A DFA `epsilon` which accepts the empty language
- A DFA `char (a : α)` which accepts the language containing only a single symbol
- An Epsilon-NFA `concat (M₁ : εNFA α σ₁) (M₂ : εNFA α σ₂)` which accepts the concatenation of the languages of two Epsilon-NFAs
- An Epsilon-NFA `kstar (M : εNFA α σ)` which accepts the Kleene star of a language of an Epsilon-NFA
The following theorems on closure are added
- `IsRegular.zero`
- `IsRegular.one`
- `IsRegular.top`
- `IsRegular.singleton`
- `IsRegular.mul`
- `IsRegular.kstar`
which demonstrates
- `IsRegular.matches`
---
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[](https://gitpod.io/from-referrer/)
|
t-computability
new-contributor
|
475/0 |
Mathlib/Computability/DFA.lean,Mathlib/Computability/EpsilonNFA.lean |
2 |
2 |
['github-actions'] |
nobody |
94-50254 3 months ago |
unknown |
0-0 0 seconds |
| 14313 |
grhkm21 author:grhkm21 |
feat(RepresentationTheory/FdRep): FdRep is a full subcategory of Rep |
```
/-- Equivalence between `FDRep` and the full subcategory of finite dimensional `Rep`. -/
def equivFiniteDimensional :
FDRep k G ≌ FullSubcategory (fun V : Rep k G ↦ FiniteDimensional k V)
``` |
merge-conflict
t-algebra
t-category-theory
new-contributor
label:t-algebra$ |
47/8 |
Mathlib/RepresentationTheory/FDRep.lean |
1 |
21 |
['fpvandoorn', 'github-actions', 'grhkm21', 'joelriou', 'kim-em', 'mathlib-bors'] |
nobody |
93-73713 3 months ago |
686-39737 686 days ago |
4-83177 4 days |
| 33592 |
nielstron author:nielstron |
feat(Computability/ContextFreeGrammar): mapping between two types of nonterminal symbols |
This PR picks up https://github.com/leanprover-community/mathlib4/pull/15895 and resolves the failing lemma by redefining Good symbols.
---
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I checked that https://github.com/leanprover-community/mathlib4/pull/13514 builds correctly when based on this build. PR for that is #33599
This is my first contribution please let me know of any changes I should outline.
[](https://gitpod.io/from-referrer/)
|
awaiting-author
t-computability
new-contributor
|
160/0 |
Mathlib/Computability/ContextFreeGrammar.lean |
1 |
34 |
['YaelDillies', 'github-actions', 'madvorak', 'nielstron'] |
nobody |
93-62681 3 months ago |
143-4808 143 days ago |
10-68503 10 days |
| 35144 |
daniel-carranza author:daniel-carranza |
feat(CategoryTheory/Enriched): tensor product of enriched categories |
For a braided monoidal category `V`, defines the tensor product of `V`-categories `C` and `D`, and shows that the type of `V`-functors out of the tensor product `C \times D` is equivalent to the type of "enriched bifunctors" `EnrichedBifunctor V C D`.
---
This work originates from infinity-cosmos project, where it is used to formalize the notion of cotensors in an enriched category. There are some additional coherence lemmas in a braided monoidal category which have been added.
Currently, line 209 violates the style guideline that terminal simp calls should not be squeezed. When I tried to replace this with a single `simp`, I get an error message: `maximum recursion depth has been reached`. Any suggestions (either with this or anything else) are greatly appreciated - thank you!
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|
new-contributor
t-category-theory
infinity-cosmos
awaiting-author
|
333/0 |
Mathlib.lean,Mathlib/CategoryTheory/Enriched/TensorProductCategory.lean,Mathlib/CategoryTheory/Monoidal/Braided/Basic.lean |
3 |
12 |
['daniel-carranza', 'emilyriehl', 'github-actions', 'joelriou', 'robin-carlier'] |
nobody |
93-58388 3 months ago |
116-47483 116 days ago |
0-145 2 minutes |
| 34236 |
homeowmorphism author:homeowmorphism |
feat(GroupTheory/FinitelyPresentedGroup): add finitely presented groups |
Formulation of finitely presented groups
feat(GroupTheory/FinitelyPresentedGroup): add finitely presented groups
We define the notion of `IsFinitelyPresented` with equivalent datatype notions, what it means for a subgroup to be finitely generated in the normal closure, and some instances of finitely presented groups.
This started as an ItaLean2025 project. The related Zulip thread is here: https://leanprover.zulipchat.com/#narrow/channel/541885-ItaLean-2025/topic/Projects.3A.20Finitely.20Presented.20Groups/with/567565752.
Use of AI:
* Aristotle was used for giving a preliminary proof of some statements as this is my first contribution and I wanted to understand how to prove things; they have since been changed.
* GPT-5.2 was used to generate some of the proof sub-statements for efficiency once the mathematical blueprints of the proofs have been worked out.
* GPT-5.3 was used to rapidly refactor the code. Human review by PR author in-progress, but got to a point where it would be good to get external input.
* GPT-5.4 was used to refactor the variables. Human PR author then rewrote the whole thing.
---
- [x] depends on: #34580
- [x] depends on: #34624
- [x] depends on: #35033
- [x] depends on: #35029
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|
t-group-theory
new-contributor
merge-conflict
blocked-by-other-PR
|
459/3 |
Mathlib.lean,Mathlib/GroupTheory/FinitelyPresentedGroup.lean |
5 |
72 |
['copilot-pull-request-reviewer', 'eric-wieser', 'github-actions', 'grunweg', 'homeowmorphism', 'kbuzzard', 'mathlib-bors', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'tb65536'] |
nobody |
93-56674 3 months ago |
80-39567 80 days ago |
0-4650 1 hour |
| 27226 |
xcloudyunx author:xcloudyunx |
feat(Combinatorics/SimpleGraph): Add Subgraph.inclusion_edge_apply_coe and inclusion_edgeSet_apply_coe |
This PR continues the work from #25248.
Original PR: https://github.com/leanprover-community/mathlib4/pull/25248 |
awaiting-author
t-combinatorics
new-contributor
merge-conflict
|
14/0 |
Mathlib/Combinatorics/SimpleGraph/Subgraph.lean |
1 |
4 |
['b-mehta', 'github-actions', 'mathlib-merge-conflicts', 'xcloudyunx'] |
b-mehta assignee:b-mehta |
93-49781 3 months ago |
300-29927 300 days ago |
25-83942 25 days |
| 33688 |
Citronhat author:Citronhat |
feat(PMF): add expectation lemmas for Poisson PMF |
This PR adds some basic results about the Poisson distribution, its `PMF`, and its expectation.
**New lemmas:**
* `poissonPMF_apply` — an unfolding lemma for `poissonPMF`.
* `poissonPMFReal_mul_eq_succ_mul` — the standard recursion identity for the Poisson mass function.
* `poissonPMFReal_hasSum_nmul` — shows that `fun n ↦ poissonPMFReal r n * n` has sum `r`.
* `poissonPMF_tsum_nmul` — the corresponding identity at the level of the `PMF`.
* `poissonPMF_coe_tsum_nmul` — the same result after coercion to `ℝ`.
Both `ℝ`-valued and `ℝ≥0∞`-valued formulations are included so that these results can be used conveniently in both Lebesgue and Bochner integration contexts. |
new-contributor
t-measure-probability
awaiting-author
merge-conflict
|
21/0 |
Mathlib/Probability/Distributions/Poisson.lean |
1 |
11 |
['Citronhat', 'DavidLedvinka', 'github-actions', 'mathlib-merge-conflicts', 'urkud'] |
urkud assignee:urkud |
93-31761 3 months ago |
104-46410 104 days ago |
47-76876 47 days |
| 34005 |
MSpill author:MSpill |
feat: inverse function theorem for manifolds (concrete version) |
Proves the inverse function theorem for manifolds: given manifolds $M, N$ and a $C^n$ map $f : M \to N$ whose differential is a linear isomorphism at $p \in M$, then $f$ is a local diffeomorphism at $p$, provided that both $p$ and its image are interior points. The proof proceeds in 4 main steps:
1. Define composition of partial diffeomorphisms
2. Show that the extended chart at an interior point can be restricted to an open set on which it is a partial diffeomorphism, viewing the model vector space as a manifold modelled on itself trivially
3. Use the inverse function theorem (applied to $f$ written in coordinates) to obtain a partial diffeomorphism between model vector spaces
4. Compose with chart diffeomorphisms to obtain a partial diffeomorphism between the manifolds.
------
[](https://gitpod.io/from-referrer/)
|
awaiting-author
t-differential-geometry
new-contributor
merge-conflict
|
232/3 |
Mathlib/Geometry/Manifold/LocalDiffeomorph.lean |
1 |
12 |
['MSpill', 'github-actions', 'grunweg', 'mathlib-merge-conflicts'] |
grunweg assignee:grunweg |
93-31516 3 months ago |
143-57029 143 days ago |
0-1082 18 minutes |
| 34830 |
parabamoghv author:parabamoghv |
feat(CategoryTheory/Monoidal): add definition of categorical groups |
This PR defines of categorical groups, also known as coherent 2-groups, in mathlib.
Motivation:
Categorical groups are well-studied structures in monoidal category theory, but are not currently available in mathlib. The definitions in this PR follow the existing design patterns used for Category, MonoidalCategory, and BraidedCategory.
This PR focuses on setting up the core structure and notation. Basic lemmas and further developments will be provided in a subsequent PR.
---
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-->
[](https://gitpod.io/from-referrer/)
|
t-category-theory
new-contributor
WIP
merge-conflict
|
163/0 |
Mathlib.lean,Mathlib/CategoryTheory/Monoidal/CategoricalGroups/Basic.lean |
2 |
27 |
['dagurtomas', 'github-actions', 'mathlib-merge-conflicts', 'parabamoghv', 'robin-carlier'] |
robin-carlier assignee:robin-carlier |
93-20236 3 months ago |
108-2276 108 days ago |
5-13145 5 days |
| 36313 |
SproutSeeds author:SproutSeeds |
feat(Inversion): cobounded tendsto near center |
Part of #5939
Add `tendsto_inversion_nhdsNE_center_cobounded` in `Mathlib/Geometry/Euclidean/Inversion/Basic.lean`, proving `Tendsto (inversion c R) (𝓝[≠] c) (Bornology.cobounded P)` for `R ≠ 0`.
Tools used: Codex 5.3 extra high
---
Happy to adjust naming, placement, or proof style based on maintainer preference.
|
t-euclidean-geometry
new-contributor
LLM-generated
awaiting-author
|
42/0 |
Mathlib/Geometry/Euclidean/Inversion/Basic.lean |
1 |
11 |
['SproutSeeds', 'euprunin', 'github-actions', 'jsm28', 'kbuzzard', 'ocfnash'] |
jsm28 assignee:jsm28 |
92-81351 3 months ago |
75-78290 75 days ago |
6-36700 6 days |
| 36323 |
SproutSeeds author:SproutSeeds |
feat(Inversion): discontinuity and center/global fderiv formulas |
Part of #5939
Adds the discontinuity-at-center lemma for inversion and derives the center/global `fderiv` formulas from it.
This draft currently builds on the preceding cobounded-tendsto lemma from #36313 while that earlier slice is under review.
Scope is limited to `Mathlib/Geometry/Euclidean/Inversion/Calculus.lean`.
Tools used: Codex 5.3 extra high
---
Happy to adjust naming, placement, or proof style based on maintainer preference.
|
t-euclidean-geometry
new-contributor
LLM-generated
|
65/0 |
Mathlib/Geometry/Euclidean/Inversion/Basic.lean,Mathlib/Geometry/Euclidean/Inversion/Calculus.lean |
2 |
2 |
['github-actions'] |
nobody |
92-57562 3 months ago |
unknown |
0-0 0 seconds |
| 36326 |
Arnav-panjla author:Arnav-panjla |
Feat/gaussian schwartz map |
feat(Analysis/SpecialFunctions/Gaussian): define the Gaussian as a Schwartz function in 1D
Define the Gaussian function `x ↦ exp (-x^2)` as a `SchwartzMap` in the one-dimensional case.
The proof establishes the Schwartz decay conditions by showing that polynomially
weighted expressions of the form `(1 + x^2)^m * exp (-x^2)` are bounded. This
allows the Gaussian to be packaged using the `SchwartzMap` API.
During the implementation a few adjustments were required to match the current
Mathlib API. In particular:
* replace the non-existent `IsBigO.mul_right` with `IsBigO.of_bound` applied to the
full product `(1 + x^2)^m * exp (-x^2)`
* fix `mem_cocompact` usage by replacing `(hh_tendsto.eventually ...).mem_cocompact`
with `mem_cocompact.mp (hh_tendsto ...)`
* adjust the `hb_bound` step using `gcongr` with exact bounds so that both goals close
* remove the unused declaration `hf_nonpos`
* register the required import in `Mathlib.lean`
This implements the one-dimensional case mentioned in the issue. The generalization
to Gaussians associated with arbitrary positive-definite bilinear forms can be
added in a follow-up PR.
Closes #33072 |
t-analysis
new-contributor
|
235/0 |
Mathlib.lean,Mathlib/Analysis/SpecialFunctions/Gaussian/SchwartzMap.lean |
2 |
4 |
['CoolRmal', 'github-actions'] |
nobody |
92-50889 3 months ago |
92-54300 92 days ago |
92-54061 92 days |
| 33668 |
Citronhat author:Citronhat |
feat(PMF): add lintegral formulas for PMF |
This PR introduces two lemmas describing the `lintegral` of a function with respect to the measure induced by a probability mass function:
- `PMF.lintegral_eq_tsum`
- `PMF.lintegral_eq_sum`
These are the `ℝ≥0∞` analogues of the existing Bochner `integral` formulas `integral_eq_tsum` and `integral_eq_sum`. They could be useful for reasoning about expectations and integrability.
In addition, the proof of `integral_eq_sum` is simplified by deriving it directly from `integral_eq_tsum` using `tsum_fintype`. |
t-measure-probability
new-contributor
awaiting-author
merge-conflict
|
14/5 |
Mathlib/Probability/ProbabilityMassFunction/Integrals.lean |
1 |
3 |
['DavidLedvinka', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
90-44691 2 months ago |
96-79434 96 days ago |
55-73479 55 days |
| 36387 |
FrankieeW author:FrankieeW |
feat(NumberTheory/QuadraticField): parameter uniqueness for quadratic fields |
## Summary
Prove that every quadratic field `ℚ(√d)` can be normalized to have a squarefree integer parameter, and that this parameter is unique.
## Main Results
- `Qsqrtd.rescale`: rescaling isomorphism `ℚ(√d) ≃ₐ[ℚ] ℚ(√(a²d))` for `a ≠ 0`
- `Qsqrtd_iso_int_param`: every `ℚ(√d)` is isomorphic to one with an integer parameter
- `Qsqrtd_iso_squarefree_int_param`: every `ℚ(√d)` is isomorphic to one with a squarefree integer parameter
- `Qsqrtd.param_unique`: if `ℚ(√d₁) ≃ₐ[ℚ] ℚ(√d₂)` with both `d₁, d₂` squarefree and `≠ 1`, then `d₁ = d₂`
## Helper Lemmas
- `squarefree_eq_of_rat_sq_mul`: if `d₁ = d₂ · r²` with both squarefree, then `d₁ = d₂`
- `int_dvd_of_ratio_square`: if `d₁/d₂` is a rational square and `d₂` is squarefree, then `d₂ ∣ d₁`
- `not_isSquare_neg_one_rat`: `-1` is not a square in `ℚ`
---
- [ ] depends on: #36347 |
WIP
t-number-theory
blocked-by-other-PR
new-contributor
large-import
LLM-generated
|
400/0 |
Mathlib.lean,Mathlib/Algebra/QuadraticAlgebra/Defs.lean,Mathlib/Algebra/Squarefree/Basic.lean,Mathlib/NumberTheory/QuadraticField/Basic.lean |
4 |
4 |
['FrankieeW', 'github-actions', 'mathlib-dependent-issues'] |
nobody |
90-21298 2 months ago |
91-15568 91 days ago |
0-2 2 seconds |
| 35058 |
GrigorenkoPV author:GrigorenkoPV |
chore: move tendsto_{floor,ceil}_at{Top,Bot} |
Moves:
- Topology.Algebra.Order.Floor.tendsto_floor_atTop -> Order.Filter.AtTopBot.Floor.tendsto_floor_atTop
- Topology.Algebra.Order.Floor.tendsto_floor_atBot -> Order.Filter.AtTopBot.Floor.tendsto_floor_atBot
- Topology.Algebra.Order.Floor.tendsto_ceil_atTop -> Order.Filter.AtTopBot.Floor.tendsto_ceil_atTop
- Topology.Algebra.Order.Floor.tendsto_ceil_atBot -> Order.Filter.AtTopBot.Floor.tendsto_ceil_atBot
---
Tracked in #7987
<!-- Your PR title will become the first line of the commit message.
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[](https://gitpod.io/from-referrer/)
|
new-contributor
large-import
awaiting-author
|
22/25 |
Mathlib/Order/Filter/AtTopBot/Floor.lean,Mathlib/Topology/Algebra/Order/Floor.lean |
2 |
3 |
['GrigorenkoPV', 'github-actions', 'j-loreaux'] |
nobody |
89-36519 2 months ago |
89-36519 89 days ago |
27-45743 27 days |
| 31670 |
edwin1729 author:edwin1729 |
feat(Topology/Order): Scott Topology is Sober over Algebraic DCPO |
---
[Zulip discussion](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/.3E.20Algebraic.20complete.20partial.20order.20and.20domain.20theory/with/536359313) here
(2/2) PR to prove result in Stone Duality. Here we prove that Scott Topologies over Algebraic DCPOs are sober.
- [ ] depends on: #31662
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|
t-topology
blocked-by-other-PR
new-contributor
merge-conflict
|
510/1 |
Mathlib.lean,Mathlib/Topology/Order/ScottTopology.lean,Mathlib/Topology/Order/ScottTopologyDCPO.lean,docs/references.bib |
4 |
5 |
['github-actions', 'mathlib-merge-conflicts', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
nobody |
89-34401 2 months ago |
unknown |
0-0 0 seconds |
| 36463 |
AlexeyMilovanov author:AlexeyMilovanov |
feat(Data.Nat.Bits): add Nat.ofBits and prove bits_injective |
This PR introduces `Nat.ofBitsList` for `List Bool` and provides the missing proofs that the standard binary representation `Nat.bits` is injective (`Nat.bits_injective`) and possesses a right inverse for normalized lists (`Nat.bits_ofBitsList`).
`ofBitsList` is implemented as an `abbrev` using `foldr` (keeping it transparent to tactics like `simp`). It serves as the exact left inverse to `bits`. Furthermore, `bits_ofBitsList` establishes that `bits` and `ofBitsList` form a bijection between `ℕ` and the set of lists with no trailing `false` values.
This avoids the name collision with `Nat.ofBits` from `Batteries` and aligns with previous Zulip discussions (see [here](https://leanprover.zulipchat.com/#narrow/channel/144837-PR-reviews/topic/PR.20.2335857.3A.20Bijective.20Base-2.20Numeration)) regarding the utility of having a complete list-based API for `Nat.bits` in the library.
CC: @linesthatinterlace
- Adds `Nat.ofBitsList` (as an `abbrev`)
- Adds `Nat.ofBitsList_bits` (left inverse property)
- Adds `Nat.bits_injective`
- Adds `Nat.ofBitsList_eq_zero_iff` (helper lemma for lists without trailing zeros)
- Adds `Nat.bits_ofBitsList` (right inverse property)
---
Zulip: [#PR reviews > PR #35857: Bijective Base-2 Numeration](https://leanprover.zulipchat.com/#narrow/channel/144837-PR-reviews/topic/PR.20.2335857.3A.20Bijective.20Base-2.20Numeration/with/576336540)
Zulip: [#batteries > Upstreaming Nat.Bits](https://leanprover.zulipchat.com/#narrow/channel/348111-batteries/topic/Upstreaming.20Nat.2EBits/with/580736051) |
t-data
new-contributor
awaiting-author
blocked-by-batt-PR
|
68/1 |
Mathlib/Data/Nat/Bits.lean |
1 |
5 |
['github-actions', 'joneugster', 'linesthatinterlace'] |
nobody |
89-19637 2 months ago |
79-57957 79 days ago |
9-58085 9 days |
| 35684 |
spitters author:spitters |
feat(CategoryTheory/MarkovCategory): Kleisli PMF is a Markov category |
Add `Mathlib/CategoryTheory/MarkovCategory/KleisliPMF.lean` showing that `KleisliCat PMF` is a `MarkovCategory`.
Uses `Prod` as tensor and `PUnit` as unit; reuses Mathlib's existing `KleisliCat`, `LawfulMonad PMF`, and `MarkovCategory` infrastructure.
Builds the full instance stack:
MonoidalCategory → BraidedCategory → SymmetricCategory →
CopyDiscardCategory → MarkovCategory
---
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[](https://gitpod.io/from-referrer/)
|
t-category-theory
new-contributor
awaiting-author
merge-conflict
|
323/1 |
Mathlib.lean,Mathlib/CategoryTheory/MarkovCategory/KleisliPMF.lean,Mathlib/Tactic/Linter/DirectoryDependency.lean |
3 |
6 |
['dagurtomas', 'github-actions', 'mathlib-merge-conflicts', 'spitters'] |
nobody |
89-9517 2 months ago |
101-41762 101 days ago |
2-36419 2 days |
| 35738 |
GrigorenkoPV author:GrigorenkoPV |
perf: remove some `aesop`s and `grind`s |
---
Needs benchmarking. After that I can split it into several smaller portions, if needed.
<!-- Your PR title will become the first line of the commit message.
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[](https://gitpod.io/from-referrer/)
|
new-contributor
awaiting-author
merge-conflict
|
236/92 |
Mathlib/Data/Finset/Card.lean,Mathlib/Data/Rel.lean,Mathlib/Data/Set/Lattice/Image.lean,Mathlib/Data/Set/Prod.lean,Mathlib/Logic/Equiv/Prod.lean,Mathlib/Order/Interval/Finset/Basic.lean,Mathlib/Order/KrullDimension.lean,Mathlib/Order/SupIndep.lean |
8 |
7 |
['github-actions', 'mathlib-merge-conflicts', 'themathqueen', 'vihdzp'] |
nobody |
89-9516 2 months ago |
102-77596 102 days ago |
0-45583 12 hours |
| 36503 |
Mrigna01 author:Mrigna01 |
Add false theorem test file |
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[](https://gitpod.io/from-referrer/)
|
new-contributor |
135/0 |
Mathlib/FalseBench/FalseTheorems.lean |
1 |
3 |
['github-actions'] |
nobody |
88-32799 2 months ago |
88-32889 88 days ago |
88-32650 88 days |
| 14603 |
awueth author:awueth |
feat: degree is invariant under graph isomorphism |
---
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Mathlib has the definition `SimpleGraph.Iso.mapNeighborSet` which is an equivalence between neighbor sets induced by an isomorphism. Would it be beneficial to add the same equivalence for `neighborFinset`?
[](https://gitpod.io/from-referrer/)
|
WIP
t-combinatorics
new-contributor
|
24/0 |
Mathlib/Combinatorics/SimpleGraph/Map/Finite.lean |
1 |
12 |
['SnirBroshi', 'awueth', 'github-actions', 'jcommelin', 'kim-em', 'urkud'] |
nobody |
88-14197 2 months ago |
664-61036 664 days ago |
31-44440 31 days |
| 33599 |
nielstron author:nielstron |
feat(Computability/ContextFreeGrammar): closure under union |
---
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This PR picks up https://github.com/leanprover-community/mathlib4/pull/13514 and resolves the outstanding errors.
- [ ] depends on: #33592
[](https://gitpod.io/from-referrer/)
|
blocked-by-other-PR
t-computability
new-contributor
|
498/0 |
Mathlib/Computability/ContextFreeGrammar.lean |
1 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
87-84034 2 months ago |
143-6493 143 days ago |
10-65787 10 days |
| 9605 |
davikrehalt author:davikrehalt |
feat(Data/Finset & List): Add Lemmas for Sorting and Filtering |
This PR includes several useful lemmas to the Data/Finset and Data/List modules in Lean's mathlib:
1. `toFinset_filter` (List): Shows that filtering commutes with toFinset.
2. `toFinset_is_singleton_implies_replicate` (List): Shows a list with a singleton toFinset is a List.replicate.
3. `filter_sort_commute` (Finset): Sorting and filtering can be interchanged in Finsets.
4. `Sorted.filter` (List): A sorted list stays sorted after filtering.
5. `Sorted.append_largest` (List): Appending the largest element keeps a list sorted.
6. `sort_monotone_map` (Finset): Relates sorting of a Finset after mapping to sorting of a list.
7. `sort_insert_largest` (Finset): Sorting a Finset with an inserted largest element.
8. `sort_range` (Finset): Sorting a range in a Finset equals the corresponding range list.
9. ~~`filter_eval_true` (List): Filtering a list with a predicate always true keeps the list unchanged.~~
10. ~~`filter_eval_false` (List): Filtering with an always-false predicate gives an empty list.~~
11. ~~`pairwise_concat` (List): Iff condition for Pairwise relation in concatenated lists (similar to pairwise_join).~~
12. `list_map_toFinset` (Finset): toFinset commutes with map under injection
---
- [x] depends on: #15952
This is my first PR to mathlib, so I'm not too familiar with etiquette's and more specifically there are two proofs in the PR which uses aesop, and I am not sure if it's frowned upon. I kept the aesop in there for now as I couldn't construct very short proofs otherwise. The sort_range function proof was suggested in https://leanprover.zulipchat.com/#narrow/stream/113489-new-members/topic/Computing.20Finset.20sort.20of.20Finset.20range/near/410346731 by Ruben Van de Velde. Thanks for your time for improving this PR. |
please-adopt
t-data
new-contributor
merge-conflict
awaiting-author
|
71/0 |
Mathlib/Data/Finset/Basic.lean,Mathlib/Data/Finset/Image.lean,Mathlib/Data/Finset/Sort.lean,Mathlib/Data/List/Sort.lean |
4 |
30 |
['YaelDillies', 'davikrehalt', 'eric-wieser', 'github-actions', 'jcommelin', 'urkud', 'vihdzp'] |
nobody |
87-83490 2 months ago |
867-54978 867 days ago |
12-48883 12 days |
| 35652 |
dennj author:dennj |
feat(LinearAlgebra/Matrix): add `Matrix.mul_eq_smul_one_symm` |
Adds three lemmas:
- IsLeftRegular.mul_eq_of_comm (Algebra/Group/Defs.lean): if a is left-regular, a * b = c, and c commutes with a, then b * a = c. Generalises IsLeftRegular.mul_eq_one_symm from the c = 1 case.
- IsRightRegular.mul_eq_of_comm: symmetric version.
- mul_eq_smul_one_symm (Algebra/Group/Action/Defs.lean): scalar variant of mul_eq_one_symm. For a monoid β with a compatible scalar action by α, if a * b = c • 1 and a is left-regular, then b * a = c • 1. Proven in one line via IsLeftRegular.mul_eq_of_comm, since c • 1 is central thanks to IsScalarTower α β β and SMulCommClass α β β.
The additive analogues are produced by to_additive.
The general mul_eq_of_comm helpers capture the underlying pattern: "a left/right-regular element can be cancelled when the conclusion commutes with it" and are reusable beyond this PR's specialisation.
Human made PR |
t-algebra
new-contributor
LLM-generated
awaiting-author
label:t-algebra$ |
28/0 |
Mathlib/Algebra/Group/Action/Defs.lean,Mathlib/Algebra/Group/Defs.lean |
1 |
7 |
['dagurtomas', 'dennj', 'eric-wieser', 'github-actions', 'grunweg'] |
ocfnash assignee:ocfnash |
87-63733 2 months ago |
35-33136 35 days ago |
24-65258 24 days |
| 36587 |
yhx-12243 author:yhx-12243 |
feat(Algebra/GCDMonoid): Distributive lattice structure for Associates in GCDMonoid |
Add a distributive lattice structure for `Associates α` in `GCDMonoid`.
---
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[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
label:t-algebra$ |
60/3 |
Mathlib.lean,Mathlib/Algebra/GCDMonoid/Basic.lean,Mathlib/Algebra/GCDMonoid/DistribLattice.lean |
2 |
2 |
['github-actions'] |
nobody |
87-5911 2 months ago |
83-62886 83 days ago |
3-29502 3 days |
| 35662 |
FrankieeW author:FrankieeW |
feat(NumberTheory/Zsqrtd): add Archimedean instance via le_arch |
This PR follows a suggestion made in #35606 , #35481
- add `Zsqrtd.le_arch_smul` in `Mathlib/NumberTheory/Zsqrtd/Basic.lean`
- use it to provide `instance : Archimedean (ℤ√d)` in the `Nonsquare` section
- refactor the proof using symmetry to reduce duplication while keeping checks clean
---
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[](https://gitpod.io/from-referrer/)
|
t-number-theory
new-contributor
awaiting-author
merge-conflict
LLM-generated
|
46/4 |
Mathlib/NumberTheory/PellMatiyasevic.lean,Mathlib/NumberTheory/Zsqrtd/Basic.lean |
2 |
13 |
['FrankieeW', 'MichaelStollBayreuth', 'euprunin', 'github-actions', 'mathlib-merge-conflicts', 'tb65536'] |
MichaelStollBayreuth assignee:MichaelStollBayreuth |
87-5647 2 months ago |
89-70163 89 days ago |
15-50475 15 days |
| 36119 |
Ruizsolveall author:Ruizsolveall |
feat(Topology/Covering): fundamental group of the circle is ℤ |
- Proves that the fundamental group of the circle `π₁(S¹, 0)` is isomorphic to `ℤ`, via covering space theory.
- Constructs the winding number map `nLoop : ℤ → Path 0 0` on `AddCircle 1`, and proves it is surjective (`nLoop_surjective`), injective (`nLoop_homotopic_iff`), and additive (`nLoop_add`).
- Assembles these into the group isomorphism `windingNumberIso : Multiplicative ℤ ≃* FundamentalGroup (AddCircle 1) 0`.
## Approach
Uses the covering map `ℝ → AddCircle 1` and unique path lifting to establish the bijection between homotopy classes of loops and integers (winding numbers). Homotopy invariance of lifted endpoints gives injectivity; surjectivity follows from lifting arbitrary loops. Additivity uses path concatenation of lifts in the simply connected total space `ℝ`.
## AI disclosure
I used Claude (Anthropic) to write the PR description, code comments, and to help refine code style. The proof strategy and all Lean code are my own. I understand and can vouch for all the code in this PR. |
t-topology
new-contributor
awaiting-author
LLM-generated
|
236/0 |
Mathlib.lean,Mathlib/Topology/Covering/FundamentalGroupCircle.lean |
2 |
26 |
['Ruizsolveall', 'SnirBroshi', 'b-mehta', 'dagurtomas', 'github-actions', 'grunweg', 'vihdzp'] |
nobody |
86-54274 2 months ago |
87-46806 87 days ago |
8-31258 8 days |
| 36347 |
FrankieeW author:FrankieeW |
feat(NumberTheory/QuadraticField): define quadratic number fields as QuadraticAlgebra ℚ d 0 |
Define `Qsqrtd d` as `QuadraticAlgebra ℚ d 0`, representing the quadratic number field `ℚ(√d)`. Prove trace and norm results, show `Qsqrtd d` is a number field and a quadratic extension when `d` is not a perfect square, and prove that `ℚ(√0)` and `ℚ(√1)` are not fields. Include `IsQuadraticField` as a predicate for quadratic extensions of `ℚ`, and bridge lemmas connecting squarefree integer parameters to the non-square condition.
This PR is part of a series upstreaming the [QuadraticNumberFields](https://github.com/FrankieeW/QuadraticNumberFields) project.
[Zulip discussion](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/quadratic.20number.20fields)
---
### PRs
- #36347 (this PR)
- #36387
---
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t-number-theory
new-contributor
large-import
awaiting-author
LLM-generated
|
191/0 |
Mathlib.lean,Mathlib/Algebra/QuadraticAlgebra/Defs.lean,Mathlib/Algebra/Squarefree/Basic.lean,Mathlib/NumberTheory/QuadraticField/Basic.lean |
4 |
29 |
['FrankieeW', 'eric-wieser', 'github-actions', 'riccardobrasca', 'tb65536', 'wwylele'] |
tb65536 assignee:tb65536 |
86-27941 2 months ago |
83-64336 83 days ago |
7-9258 7 days |
| 22314 |
shetzl author:shetzl |
feat: add leftmost derivations for context-free grammars |
Leftmost derivations are often easier to reason about than arbitrary derivations. This PR adds leftmost variants of Rewrites, Produces and Derives to the existing definition of context-free grammars and proves that a string of terminals can be derived iff it can be leftmost derived.
Co-authored-by: Tobias Leichtfried <tobias.leichtfried@tuwien.ac.at>
---
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[](https://gitpod.io/from-referrer/)
|
merge-conflict
t-computability
awaiting-author
new-contributor
|
383/0 |
Mathlib.lean,Mathlib/Computability/LeftmostDerivation.lean |
2 |
55 |
['YaelDillies', 'github-actions', 'madvorak', 'mathlib4-merge-conflict-bot', 'shetzl'] |
nobody |
85-58440 2 months ago |
394-81736 394 days ago |
72-2714 72 days |
| 31610 |
rudynicolop author:rudynicolop |
feat(Computability/NFA): Kleene star closure for Regular Languages via NFA |
This PR constructs a Kleene star closure for non-epsilon NFAs, and proves that regular languages are closed under Kleene star. The NFA construction is `NFA.kstar`. The main theorems are:
- `NFA.accepts_kstar`: demonstrates that `M.kstar` accepts the Kleene star closure of the language of `M`.
- `IsRegular.kstar`: demonstrates that regular languages are closed under Kleene star.
There is an onging zulip discussion about regular languages in Mathlib: https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Regular.20languages.3A.20the.20review.20queue/with/553759136
This discussion is also tracked at #24205.
Furthermore, the construction and proofs in this PR are heavily inspired by @TpmKranz from his #15651. #15651 supersedes this PR, so if it is accepted then this PR is not needed.
---
- [x] depends on: #31038
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|
t-computability
new-contributor
awaiting-author
awaiting-CI
|
405/7 |
Mathlib/Computability/NFA.lean |
1 |
16 |
['YaelDillies', 'ctchou', 'github-actions', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
nobody |
85-58339 2 months ago |
144-50721 144 days ago |
43-77831 43 days |
| 36757 |
alok author:alok |
feat(Order/Filter): add Filter.IsFree and Filter.IsNonprincipal |
## Summary
Adds two filter predicates and their basic API:
- **`Filter.IsFree`**: no point belongs to every set (`f.ker = ∅`), equivalently `f ≤ cofinite`
- **`Filter.IsNonprincipal`**: not equal to `𝓟 s` for any set `s`
Every free `NeBot` filter is non-principal (`IsFree.isNonprincipal`), but the converse fails for general filters (e.g. `𝓝 x` in a non-discrete T₁ space is non-principal but not free). For ultrafilters the two notions coincide (`Ultrafilter.isNonprincipal_iff_isFree`).
On finite types, no `NeBot` filter is free (`not_isFree_of_neBot`).
## Test plan
- [x] `lake build Mathlib.Order.Filter.Cofinite` passes
- [x] `lake build Mathlib.Order.Filter.Ultrafilter.Basic` passes
🤖 Generated with [Claude Code](https://claude.com/claude-code) |
t-order
new-contributor
|
98/1 |
Mathlib/Order/Filter/Cofinite.lean,Mathlib/Order/Filter/Ultrafilter/Basic.lean |
2 |
2 |
['github-actions'] |
nobody |
83-18610 2 months ago |
83-17210 83 days ago |
0-3928 1 hour |
| 36825 |
danlyng author:danlyng |
feat(MeasureTheory/Integral/IntegralEqImproper): add Iic variants of nonneg/nonpos derivative integrability and FTC-2 |
Add the `Iic` counterparts of the existing `Ioi` results for automatic integrability of derivatives on semi-infinite intervals and the corresponding corollaries computing the integral value. Additionally, apply minor fixes to existing docstrings.
New declarations:
- `integrableOn_Iic_deriv_of_nonneg` / `integrableOn_Iic_deriv_of_nonneg'`
- `integrableOn_Iic_deriv_of_nonpos` / `integrableOn_Iic_deriv_of_nonpos'`
- `integral_Iic_of_hasDerivAt_of_nonneg` / `integral_Iic_of_hasDerivAt_of_nonneg'`
- `integral_Iic_of_hasDerivAt_of_nonpos` / `integral_Iic_of_hasDerivAt_of_nonpos'`
These mirror `integrableOn_Ioi_deriv_of_nonneg`, `integrableOn_Ioi_deriv_of_nonpos`, `integral_Ioi_of_hasDerivAt_of_nonneg`, `integral_Ioi_of_hasDerivAt_of_nonpos` and their primed variants. |
t-measure-probability
new-contributor
awaiting-author
|
107/9 |
Mathlib/MeasureTheory/Integral/IntegralEqImproper.lean |
1 |
7 |
['EtienneC30', 'github-actions'] |
EtienneC30 assignee:EtienneC30 |
78-68740 2 months ago |
78-68740 78 days ago |
2-67942 2 days |
| 36719 |
NoneMore author:NoneMore |
feat(ModelTheory): add `PartialType` for first-order theories |
This PR adds the definitions of partial types over theories and over parameter sets, and proves several equivalent characterizations.
---
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- [ ] depends on: #36667
[](https://gitpod.io/from-referrer/)
|
blocked-by-other-PR
t-logic
new-contributor
|
468/0 |
Mathlib.lean,Mathlib/ModelTheory/PartialTypes.lean,Mathlib/ModelTheory/Semantics.lean,Mathlib/ModelTheory/Syntax.lean |
4 |
5 |
['NoneMore', 'github-actions', 'mathlib-dependent-issues', 'vihdzp'] |
nobody |
75-1215 2 months ago |
84-569 84 days ago |
0-322 5 minutes |
| 37101 |
fsefzig author:fsefzig |
feat: definition of kummer polynomials and prove that AdjoinRoot (KummerPolynomial n s) is etale |
This defines the Kummer polynomial ` KummerPolynomial n s := X^n - s` over a ring R and constructs the following instances for `AdjoinRoot (KummerPolynomial n s)`:
· Faithfullyflat
· SmoothOfRelativeDimension 0
· Etale |
t-ring-theory
new-contributor
awaiting-author
|
345/0 |
Mathlib.lean,Mathlib/RingTheory/AdjoinRootKummer.lean |
2 |
24 |
['acmepjz', 'chrisflav', 'fsefzig', 'github-actions', 'vihdzp'] |
nobody |
67-53199 2 months ago |
unknown |
0-0 0 seconds |
| 37585 |
cascone26 author:cascone26 |
feat: formal statements of Robin's and Lagarias' inequalities equivalent to RH |
## Summary
This PR adds `Mathlib/NumberTheory/LSeries/RobinInequality.lean`, which contains formal Lean 4 statements of two classical equivalences of the Riemann Hypothesis:
**Robin's theorem (1984):** RH ↔ σ₁(n) < e^γ · n · ln(ln(n)) for all n > 5040
**Lagarias' theorem (2002):** RH ↔ σ₁(n) ≤ H_n + exp(H_n) · ln(H_n) for all n ≥ 1
### New declarations
- `robinBound (n : ℕ) : ℝ` — the Robin bound e^γ · n · ln(ln(n))
- `lagariasBound (n : ℕ) : ℝ` — the Lagarias bound H_n + exp(H_n) · ln(H_n)
- `robin_iff_RH : RiemannHypothesis ↔ ∀ n > 5040, σ₁(n) < robinBound n`
- `lagarias_iff_RH : RiemannHypothesis ↔ ∀ n ≥ 1, σ₁(n) ≤ lagariasBound n`
### Status
The **statements** are complete and use existing Mathlib primitives:
- `ArithmeticFunction.sigma` for σ₁
- `Real.eulerMascheroniConstant` for γ
- `harmonic` for H_n (with ℚ → ℝ coercion)
- `RiemannHypothesis` from `Mathlib.NumberTheory.LSeries.RiemannZeta`
The **proofs** are currently `sorry`. The Robin direction (RH → inequality) requires analytic number theory following Robin's original 1984 paper. The converse uses Gronwall's theorem on superior highly composite numbers. Both are substantial Mathlib projects in their own right.
This PR establishes the formal statements as a foundation for future proof work. These equivalences are not currently formalized anywhere in Mathlib.
### References
- G. Robin, *Grandes valeurs de la fonction somme des diviseurs et hypothèse de Riemann*, J. Math. Pures Appl. **63** (1984), 187–213.
- J. Lagarias, *An elementary problem equivalent to the Riemann hypothesis*, Amer. Math. Monthly **109** (2002), 534–543.
### Note on `sorry`
I'm aware Mathlib does not merge `sorry`-laden PRs in general. I'm submitting this as a draft to:
1. Get feedback on whether the statement formulation is idiomatic
2. Establish that these statements don't already exist in Mathlib under a different name
3. Invite collaboration on completing the proofs |
t-number-theory
new-contributor
|
98/0 |
Mathlib/NumberTheory/LSeries/RobinInequality.lean |
1 |
2 |
['github-actions'] |
nobody |
66-11964 2 months ago |
unknown |
0-0 0 seconds |
| 36937 |
Yaohua-Leo author:Yaohua-Leo |
feat(Algebra/Jordan): add first linearization lemmas for IsCommJordan |
[](https://gitpod.io/from-referrer/)
AI assistance disclosure: I used AI assistance for CI/debugging and module-structure fixes in this PR. The mathematical content and main lemmas were written by me, with help from @pelicanhere.
This PR adds a new file `Mathlib/Algebra/Jordan/Linearization.lean` containing linearization lemmas for the commutative Jordan identity.
Main declarations:
* `IsCommJordan.four_nsmul_associator_mul_add`
* `IsCommJordan.associator_mul_add`
These lemmas formalize a first linearization of the commutative Jordan identity using `associator`, following McCrimmon, Proposition 1.8.5.
---
I put these lemmas in a separate file because I expect follow-up linearization lemmas to belong naturally in the same place.
I am also happy to rename declarations or move the file if reviewers would prefer. |
t-algebra
new-contributor
awaiting-author
label:t-algebra$ |
60/0 |
Mathlib.lean,Mathlib/Algebra/Jordan/Linearization.lean |
2 |
6 |
['Yaohua-Leo', 'github-actions', 'grunweg', 'ocfnash'] |
ocfnash assignee:ocfnash |
65-77711 2 months ago |
65-77711 65 days ago |
13-10710 13 days |
| 36813 |
AlexeyMilovanov author:AlexeyMilovanov |
feat(Computability.Encoding): add self-delimiting unary and pair encodings |
Adds `unaryPrefix` (a self-delimiting $1^n 0$ code) and `prefixPair` to `Mathlib.Computability.Encoding`.
**Key changes:**
* **`unaryPrefix`**: A prefix-free unary encoding for $\mathbb{N}$, distinct from the existing `unaryEncodeNat`.
* **`unaryPrefix_append_inj`**: A basic cancellation lemma that allows unique extraction of a unary prefix from a concatenated list.
* **`prefixPair`**: A self-delimiting pairing function for boolean lists, defined as $\text{unaryPrefix } |x| \frown x \frown y$.
* **`prefixPair_inj`**: A concise proof of pair injectivity leveraging the new prefix lemmas.
|
t-computability
new-contributor
awaiting-author
|
56/1 |
Mathlib/Computability/Encoding.lean |
1 |
2 |
['Komyyy', 'github-actions'] |
Komyyy assignee:Komyyy |
65-18732 2 months ago |
65-18732 65 days ago |
16-42277 16 days |
| 37644 |
matthunz author:matthunz |
feat(Order/Causal): add `Causal` ordering for stream functions |
Adds `Causal` ordering for stream functions and related theorems:
```lean
def Causal (f : Stream' α → Stream' β) : Prop :=
∀ (x y : Stream' α) (t : ℕ), (∀ s, s ≤ t → x s = y s) → f x t = f y t
```
A stream function is causal if the output at time `t` depends only on inputs up to time `t`. Causal stream functions are commonly used in signal processing, reactive systems, and semantics of stateful computations, where outputs cannot depend on future inputs.
## Future work
- Mealy machines: define Mealy machines as causal stream functions with state, and relate them to standard automata-theoretic constructions.
- Feedback and delay operators: formalize feedback loops and delayed composition, enabling modeling of stateful and recursive stream definitions.
---
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[](https://gitpod.io/from-referrer/)
|
new-contributor
t-order
|
79/0 |
Mathlib.lean,Mathlib/Order/Causal/Basic.lean,Mathlib/Order/Causal/Defs.lean |
3 |
2 |
['github-actions'] |
nobody |
64-44195 2 months ago |
unknown |
0-0 0 seconds |
| 37695 |
Morten-Ness author:Morten-Ness |
refactor(GroupTheory/Complement): simplify complement proofs |
Simplifies the proofs of:
- `Subgroup.IsComplement'.symm`
- `Subgroup.isComplement_singleton_left`
- `Subgroup.isComplement_singleton_right`
No API changes.
AI assistance: I used Codex/LLM suggestions as a starting point, then manually checked the proofs, and verified the final version locally.
---
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[](https://gitpod.io/from-referrer/)
|
t-group-theory
new-contributor
awaiting-author
|
15/17 |
Mathlib/GroupTheory/Complement.lean |
1 |
4 |
['github-actions', 'tb65536'] |
tb65536 assignee:tb65536 |
61-85885 2 months ago |
61-85885 61 days ago |
0-68801 19 hours |
| 37489 |
michael-novak-math author:michael-novak-math |
feat: add the fundamental theorem of plane curves |
We add to the PlaneCurves file created in PR #36731 a classical result in the subject of differential geometry of plane curves: the fundamental theorem of plane curves.
---------
- [ ] depends on: #36731 |
new-contributor
t-differential-geometry
t-analysis
blocked-by-other-PR
|
651/0 |
Mathlib.lean,Mathlib/Analysis/InnerProductSpace/Calculus.lean,Mathlib/Geometry/PlaneCurves.lean,Mathlib/MeasureTheory/Integral/IntervalIntegral/FundThmCalculus.lean,docs/references.bib |
5 |
5 |
['github-actions', 'mathlib-dependent-issues', 'michael-novak-math'] |
nobody |
61-76465 2 months ago |
67-61321 67 days ago |
0-13581 3 hours |
| 37111 |
tannerduve author:tannerduve |
feat(Computability): add Nat.PrimrecIn and PrimrecIn |
- Add `Nat.PrimrecIn`: primitive recursive functions relative to a set of oracles
- Add `PrimrecIn`: lifts `Nat.PrimrecIn` to `Primcodable` types
A `PrimrecIn` version of `RecursiveIn.iff_nat` (i.e., `PrimrecIn O (f : ℕ → ℕ) ↔ Nat.PrimrecIn O f`) is left as future work as it requires proving `Nat.PrimrecIn O Nat.pred`, which needs additional API for `Nat.PrimrecIn`.
---
Split out from #34937 as requested in review.
- [x] depends on: #37061 |
t-computability
new-contributor
awaiting-author
|
24/0 |
Mathlib/Computability/RecursiveIn.lean |
1 |
14 |
['Komyyy', 'bryangingechen', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'tannerduve'] |
nobody |
58-43589 1 month ago |
59-56448 59 days ago |
1-79421 1 day |
| 37954 |
jdhart81 author:jdhart81 |
feat(Data/ENNReal/Inv): add ENNReal.div_mul_div_cancel |
Proves a / b * (b / c) = a / c for b ≠ 0, b ≠ ∞ in ENNReal. Proof via mul_div_assoc and existing div_mul_cancel.
AI Disclosure: This PR was developed with assistance from an LLM (Claude, Anthropic) for proof exploration and text drafting. The proof was compiled and verified locally by the contributor, who understands the mathematical content. This lemma is extracted from a larger formalization of information-theoretic bounds (Zenodo DOI: 10.5281/zenodo.19317983).
---
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[](https://gitpod.io/from-referrer/)
|
t-data
new-contributor
|
5/0 |
Mathlib/Data/ENNReal/Inv.lean |
1 |
2 |
['github-actions'] |
nobody |
56-66448 1 month ago |
56-66446 56 days ago |
0-75 1 minute |
| 36770 |
Xmask19 author:Xmask19 |
feat: invariance of domain via Brouwer's fixed point theorem |
Continuous and injective maps from Rn to Rn are open mappings. This is shown given Brouwer's fixed point theorem. The specific version of Brouwer's theorem assumed is that a continuous map from the closed unit ball to itself has a fixed point. It is used to show a lemma in this proof. Then assuming that invariance of domain isn't true gives a contradiction with this lemma.
---
My supervisor has code for studying topological manifolds which relies on invariance of domain that can be found here: https://github.com/stevensivek/TopologicalManifolds and is planned to be submitted to Mathlib.
<!-- Your PR title will become the first line of the commit message.
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[](https://gitpod.io/from-referrer/)
|
t-topology
new-contributor
|
617/5 |
Mathlib.lean,Mathlib/AlgebraicTopology/InvarianceOfDomain.lean,Mathlib/Analysis/Convex/GaugeRescale.lean,Mathlib/Topology/Closure.lean,Mathlib/Topology/Order.lean |
5 |
2 |
['github-actions'] |
nobody |
53-50710 1 month ago |
53-50686 53 days ago |
0-6926 1 hour |
| 38050 |
WilliamCoram author:WilliamCoram |
feat: Define Newton polygons |
In this file we construct a method to define newton polygons using a Stream' of `Step`'s which correspond to what you would obtain via the 'algorithm' of rotating half-planes as described in Gouvea's p-adic numbers.
---
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Second, co-authors can also be listed in lines at the very bottom of
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-->
[](https://gitpod.io/from-referrer/)
|
t-number-theory
new-contributor
|
620/0 |
Mathlib.lean,Mathlib/NumberTheory/NewtonPolygon.lean |
2 |
3 |
['github-actions', 'jcommelin'] |
nobody |
53-40756 1 month ago |
unknown |
0-0 0 seconds |
| 38113 |
robo7179 author:robo7179 |
feat(SimpleGraph/PerfectGraph): add lemma graph is perfect iff all su… |
Perfect graph theorem , discussion on zulip thread: [#graph theory > Second Order Monadic Logic](https://leanprover.zulipchat.com/#narrow/channel/252551-graph-theory/topic/Second.20Order.20Monadic.20Logic.20for.20Graph/with/583013775)
- [ ] depends on: #37680
- [ ] depends on: #37598 |
t-combinatorics
new-contributor
blocked-by-other-PR
|
54/0 |
Mathlib/Combinatorics/SimpleGraph/PerfectGraph.lean |
1 |
3 |
['github-actions', 'mathlib-dependent-issues'] |
nobody |
52-75475 1 month ago |
52-76834 52 days ago |
0-69 1 minute |
| 37938 |
SamuelSchlesinger author:SamuelSchlesinger |
feat(Probability/Posterior): Posterior PMFs and Various Lemmas |
Upstreaming the probability lemmas needed in https://github.com/leanprover/cslib/pull/464. |
t-measure-probability
new-contributor
awaiting-author
|
130/0 |
Mathlib.lean,Mathlib/Probability/ProbabilityMassFunction/Posterior.lean |
2 |
6 |
['EtienneC30', 'SamuelSchlesinger', 'github-actions'] |
RemyDegenne assignee:RemyDegenne |
52-36818 1 month ago |
53-70259 53 days ago |
0-4092 1 hour |
| 38139 |
sidbedi author:sidbedi |
chore(Algebra/MvPolynomial/Variables): golf MvPolynomial.vars_0 to rfl |
---
The classical qualifier and explicit rewrite chain are unnecessary — the result holds definitionally.
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-algebra
awaiting-author
label:t-algebra$ |
1/2 |
Mathlib/Algebra/MvPolynomial/Variables.lean |
1 |
3 |
['github-actions', 'grunweg'] |
nobody |
51-81278 1 month ago |
51-81278 51 days ago |
0-34567 9 hours |
| 38140 |
sidbedi author:sidbedi |
chore(Data/Analysis/Filter): golf CFilter.ofEquiv_val to rfl |
---
cases F is unnecessary, the result holds definitionally.
[](https://gitpod.io/from-referrer/)
|
t-data
new-contributor
awaiting-author
|
1/2 |
Mathlib/Data/Analysis/Filter.lean |
1 |
3 |
['github-actions', 'grunweg'] |
nobody |
51-81234 1 month ago |
51-81234 51 days ago |
0-34488 9 hours |
| 36731 |
michael-novak-math author:michael-novak-math |
feat: Frénet moving frame and Frénet equation for plane curves |
We define the curvature function, normal vector function and the Frénet moving frame for plane curve.
We also prove the Frénet equations for plane curves.
A separate PR (#37489) will prove the fundamental theorem of plane curves. |
new-contributor
t-differential-geometry
t-analysis
awaiting-author
|
321/0 |
Mathlib.lean,Mathlib/Analysis/InnerProductSpace/Calculus.lean,Mathlib/Geometry/PlaneCurves.lean,Mathlib/MeasureTheory/Integral/IntervalIntegral/FundThmCalculus.lean,docs/references.bib |
5 |
114 |
['Ruben-VandeVelde', 'github-actions', 'grunweg', 'michael-novak-math', 'scholzhannah'] |
nobody |
51-75215 1 month ago |
64-52838 64 days ago |
12-40134 12 days |
| 37683 |
SabrinaJewson author:SabrinaJewson |
feat(Order/OrdContinuous): every map between complete lattices that preserves sSup is a left adjoint of some Galois connection |
It is already proven that the left side of a Galois connection is left-continuous; this provides the converse.
---
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- [ ] depends on: #37682
[](https://gitpod.io/from-referrer/)
|
new-contributor
blocked-by-other-PR
merge-conflict
t-order
|
90/136 |
Mathlib/Order/ConditionallyCompleteLattice/Basic.lean,Mathlib/Order/ConditionallyCompletePartialOrder/Defs.lean,Mathlib/Order/OrdContinuous.lean,Mathlib/Order/SemiconjSup.lean,Mathlib/Tactic/Translate/ToDual.lean,Mathlib/Topology/Order/Basic.lean |
6 |
4 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
51-55842 1 month ago |
63-24734 63 days ago |
0-1447 24 minutes |
| 37684 |
SabrinaJewson author:SabrinaJewson |
feat(Topology/Order): provide lemmas linking topological continuity to order continuity |
All the hard work is already done, but this just fills in a couple convenient missing pieces.
---
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- [ ] depends on: #37682
[](https://gitpod.io/from-referrer/)
|
new-contributor
blocked-by-other-PR
merge-conflict
t-topology
|
106/136 |
Mathlib/Order/ConditionallyCompleteLattice/Basic.lean,Mathlib/Order/ConditionallyCompletePartialOrder/Defs.lean,Mathlib/Order/OrdContinuous.lean,Mathlib/Order/SemiconjSup.lean,Mathlib/Tactic/Translate/ToDual.lean,Mathlib/Topology/Order/Basic.lean,Mathlib/Topology/Order/IsLUB.lean,Mathlib/Topology/Order/Monotone.lean |
8 |
4 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
51-55831 1 month ago |
63-24735 63 days ago |
0-1299 21 minutes |
| 37376 |
NoneMore author:NoneMore |
feat(Topology/CantorBendixson): add iterated derived sets and perfect kernel |
Define the transfinite iteration of the relative derived-set operator via `gfpApprox` and introduce the perfect kernel of a set.
---
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AI disclosure: Most declarations, comments, and documentation in this PR were generated with Codex. Some proofs were structurally simplified using the `/golf` command from Lean 4 Skills. I reviewed the resulting code and documentation and can vouch for all submitted content.
- [ ] depends on: #37374
- [x] depends on: #37375
[](https://gitpod.io/from-referrer/)
|
new-contributor
blocked-by-other-PR
t-topology
|
249/0 |
Mathlib.lean,Mathlib/SetTheory/Ordinal/FixedPointApproximants.lean,Mathlib/Topology/CantorBendixson.lean,Mathlib/Topology/DerivedSet.lean |
4 |
4 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
51-55800 1 month ago |
69-63532 69 days ago |
0-832 13 minutes |
| 38154 |
ybenmeur author:ybenmeur |
add subsingleton case to ExpChar |
---
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[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
label:t-algebra$ |
113/49 |
Mathlib/Algebra/CharP/Algebra.lean,Mathlib/Algebra/CharP/Basic.lean,Mathlib/Algebra/CharP/Defs.lean,Mathlib/Algebra/CharP/Lemmas.lean,Mathlib/Algebra/CharP/Subring.lean,Mathlib/Algebra/Polynomial/Expand.lean,Mathlib/FieldTheory/Perfect.lean,Mathlib/FieldTheory/PurelyInseparable/Exponent.lean,Mathlib/FieldTheory/SeparableDegree.lean,Mathlib/FieldTheory/SeparablyGenerated.lean,Mathlib/RingTheory/MvPolynomial/Basic.lean,Mathlib/RingTheory/MvPowerSeries/Expand.lean,Mathlib/RingTheory/Polynomial/Basic.lean,Mathlib/RingTheory/Polynomial/SeparableDegree.lean,Mathlib/RingTheory/Trace/Basic.lean |
15 |
2 |
['github-actions'] |
nobody |
50-63600 1 month ago |
unknown |
0-0 0 seconds |
| 37593 |
IlPreteRosso author:IlPreteRosso |
refactor(Data.Finset.*Antidiagonal): rename set-based defs to `set*Antidiagonal` |
Renames set-based `Finset.mulAntidiagonal` → `setMulAntidiagonal` (and SMul/VAdd variants) to free the `mulAntidiagonal` name for the planned `HasMulAntidiagonal` typeclass. Deprecation aliases added.
Supersedes #34551 |
t-ring-theory
new-contributor
merge-conflict
|
178/96 |
Mathlib/Algebra/Order/Antidiag/Prod.lean,Mathlib/Data/Finset/MulAntidiagonal.lean,Mathlib/Data/Finset/SMulAntidiagonal.lean,Mathlib/RingTheory/HahnSeries/Multiplication.lean,Mathlib/RingTheory/HahnSeries/PowerSeries.lean,Mathlib/RingTheory/HahnSeries/Summable.lean |
6 |
3 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
50-7227 1 month ago |
50-7228 50 days ago |
15-61521 15 days |
| 38270 |
Deicyde author:Deicyde |
feat(Geometry/Manifold): The Tangent Functor on `MfldCat` |
A simple motivating example for PR #38223. We define the `tangentFunctor : MfldCat 𝕜 (n + 1) ⥤ MfldCat 𝕜 n` which takes any manifold to its tangent bundle and any smooth map to its pushforward.
This is a standard construction in differential geometry. See: J. Lee, Smooth Manifolds, pg. 75
---
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- [ ] depends on: #38223
[](https://gitpod.io/from-referrer/)
|
t-differential-geometry
blocked-by-other-PR
new-contributor
|
320/0 |
Mathlib.lean,Mathlib/Geometry/Manifold/Category/MfldCat/Basic.lean,Mathlib/Geometry/Manifold/Category/MfldCat/TangentFunctor.lean,Mathlib/Geometry/Manifold/ContMDiffMap.lean |
4 |
3 |
['github-actions', 'mathlib-dependent-issues'] |
nobody |
49-20283 1 month ago |
unknown |
0-0 0 seconds |
| 38053 |
ntapiam author:ntapiam |
feat(Analysis/Controls): add Control functions |
Add Control functions
----
This PR adds Control functions in the sense of rough paths theory (see e.g. [Friz-Victoir, Section 1.2.1](https://page.math.tu-berlin.de/~friz/master4_May6th.pdf)).
They are related to p-variation norms which are the goal of #38055.
I've shown most results in the above reference though those relating to 1-variation are still a work in progress.
I had to add a few statements about convex functions in order to work over NNReal instead or Real, but I am not sure this is the best way to do it. The reason is that I've defined controls as taking values in NNReal (as they should).
In particular there is
```lean4
theorem nnreal_of_real {f : ℝ≥0 → ℝ≥0}
(hf : ConvexOn ℝ (Set.Ici 0) fun x : ℝ => (f x.toNNReal : ℝ)) : ConvexOn ℝ≥0 ⊤ f
```
which I didn't know where to put. It probably holds in more generality but I didn't check.
I have also included two versions of Controls, one global and one restricted to a set. I tried to follow Mathlib conventions as best as I could but perhaps that could be improved as well.
<!-- Your PR title will become the first line of the commit message.
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-->
[](https://gitpod.io/from-referrer/)
|
WIP
t-analysis
new-contributor
|
571/1 |
Mathlib.lean,Mathlib/Analysis/Controls/BoundedVariation.lean,Mathlib/Analysis/Controls/ControlOn.lean,Mathlib/Analysis/Controls/Defs.lean,Mathlib/Analysis/Convex/Function.lean,docs/references.bib |
6 |
4 |
['github-actions', 'ntapiam'] |
nobody |
48-75731 1 month ago |
54-40914 54 days ago |
0-52 52 seconds |
| 38399 |
openendings author:openendings |
feat: OrderHom.instOrderSupSet for LawfulSup |
Currently we have `instance [CompleteLattice β] : SupSet (α →o β)`.
We replace this with a mere `LawfulSup` assumption such as #38328, .
TODO:
- [ ] construct an `OrderSupSet` instance instead of `SupSet`
---
WIP
- [ ] depends on: #38328 [or other `LawfulSup`]
(based on master in case something else needs this)
[](https://gitpod.io/from-referrer/)
|
WIP
t-order
new-contributor
blocked-by-other-PR
|
26/0 |
Mathlib/Order/Hom/Order.lean |
1 |
5 |
['github-actions', 'mathlib-bors', 'mathlib-dependent-issues', 'openendings'] |
nobody |
46-9183 1 month ago |
46-12027 46 days ago |
0-106 1 minute |
| 38388 |
supermanG author:supermanG |
feat(Combinatorics/SimpleGraph): add ballFinset with basic identities |
Introduces `SimpleGraph.ballFinset`, the `Finset` companion to `SimpleGraph.ball` (#36443) on graphs with a `Fintype` vertex set, together with the basic identities `mem_ballFinset`, `ballFinset_zero`, and `ballFinset_one`.
`SimpleGraph.ball` is the *open* metric ball `{u | edist u c < r}` and is indexed by `ℕ∞`; `ballFinset` is typed `ℕ → Finset V` for ergonomics at cardinality-facing call sites. The classical closed-ball cardinality at radius `r`, `|{u | edist u c ≤ r}|`, corresponds to `|ballFinset v (r + 1)|` in this setup.
Opened as draft so CI can run before pinging maintainers.
---
First-time Mathlib contribution — happy to adjust naming, file placement, or docstring style to match house conventions. Follow-up PRs will add cardinality envelopes (sphere cardinality, geometric-series bound, polynomial bound). |
t-combinatorics
new-contributor
LLM-generated
|
68/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/BallCardinality.lean |
2 |
3 |
['SnirBroshi', 'github-actions'] |
nobody |
45-61633 1 month ago |
unknown |
0-0 0 seconds |
| 36853 |
matthunz author:matthunz |
feat(CategoryTheory/Monoidal/Braded/Traced): add `TracedCategory` class |
Adds a `TracedCategory` class following [A. Joyal and R. Street and D. R. Verity, *Traced monoidal categories*](https://www.cambridge.org/core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society/article/abs/traced-monoidal-categories/2BE85628D269D9FABAB41B6364E117C8#article):
```lean
/-- A traced symmetric monoidal category. -/
class TracedCategory
(C : Type u)
[Category.{v} C]
[MonoidalCategory.{v} C]
[SymmetricCategory.{v} C] where
/-- The trace operator. -/
trace : ∀ {A B : C} (W : C), (A ⊗ W ⟶ B ⊗ W) → (A ⟶ B)
/-- Left tightening: sliding a morphism past the trace on the left. -/
trace_naturality_left : ∀ {A A' B : C} (W : C) (f : A' ⟶ A) (g : A ⊗ W ⟶ B ⊗ W),
trace W (f ▷ W ≫ g) = f ≫ trace W g := by cat_disch
/-- Right tightening: sliding a morphism past the trace on the right. -/
trace_naturality_right : ∀ {A B B' : C} (W : C) (f : A ⊗ W ⟶ B ⊗ W) (g : B ⟶ B'),
trace W (f ≫ g ▷ W) = trace W f ≫ g := by cat_disch
/-- Sliding: an endomorphism on the feedback wire slides past the trace. -/
trace_dinaturality : ∀ {A B W : C} (f : A ⊗ W ⟶ B ⊗ W) (h : W ⟶ W),
trace W (f ≫ B ◁ h) = trace W (A ◁ h ≫ f) := by cat_disch
/-- Superposing: trace commutes with left tensoring by a bystander object. -/
trace_superposing : ∀ {A B : C} (C' W : C) (f : A ⊗ W ⟶ B ⊗ W),
C' ◁ trace W f = trace W ((α_ C' A W).hom ≫ C' ◁ f ≫ (α_ C' B W).inv) := by cat_disch
/-- Vanishing I: trace over the tensor unit is the morphism itself (up to unitors). -/
trace_vanishing_one : ∀ {A B : C} (f : A ⊗ 𝟙_ C ⟶ B ⊗ 𝟙_ C),
trace (𝟙_ C) f = (ρ_ A).inv ≫ f ≫ (ρ_ B).hom := by cat_disch
/-- Vanishing II: trace over a tensor product equals iterated trace. -/
trace_vanishing_two : ∀ {A B X Y : C} (f : A ⊗ (X ⊗ Y) ⟶ B ⊗ (X ⊗ Y)),
trace (X ⊗ Y) f = trace X (trace Y ((α_ A X Y).hom ≫ f ≫ (α_ B X Y).inv)) := by cat_disch
/-- Yanking: the trace of the braiding is the identity. -/
trace_yanking : ∀ (W : C), trace W (β_ W W).hom = 𝟙 W := by cat_disch
```
## Motivation
`TracedCategory` can be used for denoting things like electric circuits, which require a traced symmetric monoidal category for the wire graph network.
## Future work
- `instance [CompactClosedCategory C] : TracedCategory C`
- possible notation such as `Tr_[W] f`
---
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t-category-theory
new-contributor
awaiting-author
merge-conflict
|
237/0 |
Mathlib.lean,Mathlib/CategoryTheory/Monoidal/Braided/Traced.lean,Mathlib/CategoryTheory/Monoidal/Rigid/Traced.lean,docs/references.bib |
4 |
5 |
['dagurtomas', 'github-actions', 'mathlib-merge-conflicts', 'matthunz'] |
nobody |
44-55732 1 month ago |
80-45295 80 days ago |
0-25956 7 hours |
| 38546 |
yhx-12243 author:yhx-12243 |
fix: universe issue in injective module |
Change the definition of
```lean
class Module.Injective : Prop where
out : ∀ ⦃X Y : Type v⦄ [AddCommGroup X] [AddCommGroup Y] [Module R X] [Module R Y]
(f : X →ₗ[R] Y) (_ : Function.Injective f) (g : X →ₗ[R] Q),
∃ h : Y →ₗ[R] Q, ∀ x, h (f x) = g x
```
into
```lean
class Module.Injective : Prop where
out : ∀ ⦃X Y : Type u⦄ [AddCommGroup X] [AddCommGroup Y] [Module R X] [Module R Y]
(f : X →ₗ[R] Y) (_ : Function.Injective f) (g : X →ₗ[R] Q),
∃ h : Y →ₗ[R] Q, ∀ x, h (f x) = g x
```
to make it agree with `Module.Baer` and real mathematical definition, **without universe issues**.
Since the criterion `Module.Flat` also uses `Type u` on testing modules.
See discussions in https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Universe.20issue.20about.20injective.20module .
---
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|
t-algebra
new-contributor
awaiting-zulip
label:t-algebra$ |
57/43 |
Mathlib/Algebra/Category/ModuleCat/Injective.lean,Mathlib/Algebra/Category/ModuleCat/Ulift.lean,Mathlib/Algebra/Module/Injective.lean,Mathlib/RepresentationTheory/FinGroupCharZero.lean,Mathlib/RingTheory/Flat/Tensor.lean,Mathlib/RingTheory/LocalProperties/Injective.lean |
6 |
5 |
['github-actions', 'grunweg', 'mathlib-bors', 'wwylele'] |
nobody |
42-42430 1 month ago |
42-42441 42 days ago |
0-26133 7 hours |
| 36850 |
whocares-abt author:whocares-abt |
feat(Combinatorics/SimpleGraph/Acyclic): deleting leaves from a tree gives a tree |
Added theorem stating Deleting a leaf from a tree produces a tree. |
t-combinatorics
new-contributor
awaiting-author
|
5/0 |
Mathlib/Combinatorics/SimpleGraph/Acyclic.lean |
1 |
9 |
['YaelDillies', 'github-actions', 'vlad902'] |
YaelDillies assignee:YaelDillies |
42-610 1 month ago |
42-720 42 days ago |
38-73648 38 days |
| 37774 |
weisbrja author:weisbrja |
fix: change variables in `bicompl` to `Sort*` and add missing theorem mentioned in `bicompl` docs |
[#mathlib4 > Why does Mathlib use Type* instead of Sort* in some places?](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Why.20does.20Mathlib.20use.20Type.2A.20instead.20of.20Sort.2A.20in.20some.20places.3F/with/583882342)
---
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|
new-contributor
t-logic
merge-conflict
|
6/1 |
Mathlib/Logic/Function/Basic.lean |
1 |
8 |
['github-actions', 'kbuzzard', 'leanprover-radar', 'mathlib-merge-conflicts', 'weisbrja'] |
nobody |
41-50137 1 month ago |
41-50138 41 days ago |
19-76858 19 days |
| 37445 |
edwin1729 author:edwin1729 |
feat(Topology/Order): set of compact elements, generating basic opens contained in a `Locale.PT`, is directed |
This is (2/4) PRs culminating in a proof that "Scott Topologies over Algebraic DCPOs are Sober". In this PR we prove properties of a certain set of compact elements, w.r.t a `Locale.PT`.
A `Locale.PT` can be thought of as a set of `Opens`. Precisely it is a Frame homomorphism from `Opens _` to `Prop` so we are essentially choosing certain `Opens` to form our set and this set has additional properties. Namely it is a completely prime filter: if the supremum of some Opens is contained than atleast one of the Opens must be contained.
Take some `Locale.PT`, `x`. In this PR, we prove that the set of compact elements generating basic opens (compact elements generate topological basis see #31662) contained in `x` is directed.
This set of compact elements defined above is important in subsequent parts of the proof since it fully determines `x`.
- [ ] depends on: #31662
---
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|
t-topology
blocked-by-other-PR
new-contributor
merge-conflict
|
296/1 |
Mathlib.lean,Mathlib/Topology/Order/ScottTopology.lean,Mathlib/Topology/Order/ScottTopologyDCPO.lean,docs/references.bib |
4 |
4 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
41-33059 1 month ago |
68-57537 68 days ago |
0-463 7 minutes |
| 37556 |
edwin1729 author:edwin1729 |
feat(Topology/Order): Locale.localePointOfSpacePoint if we have a Scott Topology from an Algebraic DCPO |
(3/4) in a series of PRs proving that "Scott Topologies over Algebraic DCPOs are Sober"
We prove here that the unit of the adjunction from `TopCat` to `Locale` defined in `Topology/Order/Category/FrameAdjunction.lean` is a surjective mapping, under the following condition:
The underlying TopologicalSpace must be a Scott Topology generated with an underlying Algebraic DCPO structure.
- [ ] depends on: #37445
---
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|
t-topology
new-contributor
blocked-by-other-PR
merge-conflict
|
393/1 |
Mathlib.lean,Mathlib/Topology/Order/ScottTopology.lean,Mathlib/Topology/Order/ScottTopologyDCPO.lean,docs/references.bib |
4 |
5 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
41-33058 1 month ago |
66-57558 66 days ago |
0-1300 21 minutes |
| 38560 |
Deicyde author:Deicyde |
feat(Geometry/Manifold): `MfldCat` is a `CartesianMonoidalCategory` |
We prove that the category `MfldCat` of C^n manifolds is a Cartesian monoidal category, and also derive the `BraidedCategory` instance. This PR introduces a new file `Geometry/Manifold/Category/MfldCat/CartesianMonoidal` closely mirroring the structure of `Algebra/Category/Grp/CartesianMonoidal.lean`
---
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- [ ] depends on: #38223
[](https://gitpod.io/from-referrer/)
|
t-differential-geometry
blocked-by-other-PR
new-contributor
|
281/0 |
Mathlib.lean,Mathlib/Geometry/Manifold/Category/MfldCat/Basic.lean,Mathlib/Geometry/Manifold/Category/MfldCat/CartesianMonoidal.lean,Mathlib/Geometry/Manifold/ContMDiffMap.lean |
4 |
3 |
['github-actions', 'mathlib-dependent-issues'] |
nobody |
41-6304 1 month ago |
unknown |
0-0 0 seconds |
| 37814 |
sglasman author:sglasman |
feat: Equivalence between HopfAlgCat R and Hopf (ModuleCat R) |
This PR resolves a TODO by demonstrating an equivalence of categories between two models of the category of Hopf algebras over a commutative ring R, that of Hopf objects in the module category of R and that of types with a `HopfAlgebra R` instance.
---
AI declaration: I consulted with Claude on proof strategies. The proofs were ultimately written by me.
|
new-contributor
large-import
t-category-theory
WIP
|
214/4 |
Mathlib/CategoryTheory/Monoidal/Hopf_.lean,Mathlib/RingTheory/HopfAlgebra/Basic.lean |
2 |
5 |
['dagurtomas', 'github-actions', 'robin-carlier', 'sglasman'] |
kim-em assignee:kim-em |
40-10822 1 month ago |
45-59685 45 days ago |
14-69757 14 days |
| 38635 |
Fieldnote-Echo author:Fieldnote-Echo |
chore(scripts): handle simple to_additive deprecations |
Closes #38550.
This updates `scripts/add_deprecations.sh` so that, when a renamed declaration is near an existing `@[to_additive]` attribute, the script also emits the additive deprecation alias in the common default-name case.
For example, `foo_mul -> bar_mul` now produces:
```lean
@[deprecated (since := "...")]
alias foo_add := bar_add
@[to_additive existing, deprecated (since := "...")]
alias foo_mul := bar_mul
```
This is intentionally conservative and text-based, matching the existing script. It handles common name translations such as mul/add, prod/sum, one/zero, inv/neg, and div/sub, and skips cases that look like they need less common to_additive name generation.
Tested with a local six-case fixture and a scratch Lean file confirming that the generated alias form compiles and produces deprecation warnings for both names.
I opened this as draft because I still count as a new contributor under the LLM-assisted PR policy. I have one merged mathlib PR (#36443), and this is a one-file script patch that I reviewed/tested manually. I'll leave it as draft unless a maintainer gives it the green light to flip ready.
I used Claude assistance while drafting and testing the patch. I reviewed the final diff manually and tested the generated Lean form locally. |
CI
new-contributor
|
121/10 |
scripts/add_deprecations.sh |
1 |
4 |
['Fieldnote-Echo', 'SnirBroshi', 'github-actions'] |
kim-em assignee:kim-em |
39-11917 1 month ago |
unknown |
0-0 0 seconds |
| 37819 |
YellPika author:YellPika |
feat(Order/OmegaCompletePartialOrder): add `OmegaCompletePartialOrder` instance for `WithBot` with basic `ωScottContinuous` lemmas |
This is a modification of #34093. See #34093 for details.
---
- [x] depends on: #33941
- [x] depends on: #37258
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|
new-contributor
t-order
merge-conflict
|
337/10 |
Mathlib/Algebra/Order/Ring/WithTop.lean,Mathlib/Analysis/BoxIntegral/Box/Basic.lean,Mathlib/Order/Monotone/Basic.lean,Mathlib/Order/OmegaCompletePartialOrder.lean,Mathlib/Order/TypeTags.lean,Mathlib/Order/WithBot.lean |
6 |
5 |
['Komyyy', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
Komyyy assignee:Komyyy |
38-14198 1 month ago |
38-14198 38 days ago |
22-11204 22 days |
| 38056 |
Deicyde author:Deicyde |
feat: topological vector bundle homomorphisms |
This PR implements topological vector bundle morphisms.
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-->
- [ ] depends on: #38023
- [ ] depends on: #37946
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-topology
merge-conflict
|
805/0 |
Mathlib/Analysis/Normed/Module/FiniteDimension.lean,Mathlib/Topology/FiberBundle/Basic.lean,Mathlib/Topology/FiberBundle/Trivialization.lean,Mathlib/Topology/VectorBundle/Basic.lean,Mathlib/Topology/VectorBundle/Morphism.lean |
5 |
4 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
37-46443 1 month ago |
unknown |
0-0 0 seconds |
| 38316 |
tannerduve author:tannerduve |
feat(Order/OmegaCompletePartialOrder): least fixed point and Scott induction |
Adds `ContinuousHom.lfp` for endomorphisms on an ωCPO with `⊥`, as the `ωSup` of the iterate chain from `⊥`, together with `map_lfp`, `isFixedPt_lfp`, `lfp_le_fixed`, `isLeast_lfp`, and the Scott induction theorem `lfp_induction` (specialized from a more general seed-based `ωSup_iterate_induction`).
For `Part.fix`, adds:
* `Part.exists_mem_approx_of_mem_fix`: if `y ∈ Part.fix g x`, some finite approximation of `g` already contains `y`.
* `Part.Fix.approx_eq_iterate_bot` and `Part.Fix.approxChain_eq_iterateChain`: bridges between `Fix.approx`/`approxChain` and `f^[n] ⊥`/`iterateChain`.
* `Part.fix_eq_lfp`: `Part.fix g = ContinuousHom.lfp (.ofFun g hc)` when `g` is ω-Scott continuous.
* `Part.fix_scott_induction`: Scott induction specialized to `Part.fix`.
* `Part.fix_induction_mem`: membership induction on `Part.fix`, derived from `fix_scott_induction`. |
new-contributor |
114/0 |
Mathlib/Control/LawfulFix.lean,Mathlib/Order/OmegaCompletePartialOrder.lean,docs/references.bib |
3 |
2 |
['github-actions'] |
nobody |
36-52331 1 month ago |
48-28433 48 days ago |
48-28720 48 days |
| 38871 |
0xTerencePrime author:0xTerencePrime |
feat(Combinatorics/SimpleGraph): add parity lemmas for outer and inner vertices |
Adds three lemmas to `SimpleGraph.DegreeSum`:
- `sum_degrees_option_zmod_two`: the handshaking lemma for `Option I` over ZMod 2
- `degree_none_zmod_two_eq_sum`: simp-normal form of the above
- `card_degree_one_option_eq_outer_zmod_two`: under degree bound ≤ 2, count of degree-1 inner vertices equals outer vertex degree mod 2 |
t-combinatorics
new-contributor
|
65/3 |
Mathlib/Combinatorics/SimpleGraph/DegreeSum.lean |
1 |
6 |
['0xTerencePrime', 'SnirBroshi', 'github-actions'] |
nobody |
35-15416 1 month ago |
35-72044 35 days ago |
35-71805 35 days |
| 38897 |
0xTerencePrime author:0xTerencePrime |
feat(Combinatorics/SetFamily): formalize 1D Sperner's Lemma parity |
Formalizes the 1-dimensional Sperner's Lemma (parity version): given a coloring of
the `n + 1` vertices of a subdivided line segment with two colors (`ZMod 2`), if the
two endpoints have different colors, then the number of color-changing edges is odd.
This is **distinct** from `IsAntichain.sperner` in `SetFamily.LYM`, which concerns
antichains in a power set. This file formalizes the topological/combinatorial parity
statement used as the base case in higher-dimensional Sperner arguments.
## Key declarations
- `SpernerColoring`: type-safe coloring via `Fin (n + 1) → ZMod 2`
- `edgeDiff`: color difference on adjacent vertices, computed in `ZMod 2`
- `totalDiff`: telescoping sum of all edge differences
- `diffEdges`: the `Finset` of bichromatic (color-changing) edges
- `sperner_1d`: main theorem — `Odd (diffEdges c).card`
## Design notes
- Using `Fin (n + 1) → ZMod 2` instead of `ℕ → ZMod 2` makes boundary conditions
unrepresentable at the type level, eliminating out-of-bounds cases entirely.
- The proof reduces to a telescoping sum in `ZMod 2`, using `CharTwo.add_self_eq_zero`
to cancel all interior vertices, avoiding parity case splits.
This is intended as the 1D base case, the approach generalizes to higher-dimensional
Sperner's Lemma in future work.
---
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-->
[](https://gitpod.io/from-referrer/)
|
t-combinatorics
new-contributor
|
133/0 |
Mathlib.lean,Mathlib/Combinatorics/SetFamily/Sperner1D.lean |
2 |
3 |
['github-actions', 'grunweg'] |
nobody |
35-6650 1 month ago |
35-16800 35 days ago |
35-16561 35 days |
| 38750 |
openendings author:openendings |
feat(Data/Nat): add padicValNat_add_eq_min |
Add lemmas for `padicValNat` mirroring the [e]multiplicity API, including
- padicValNat_eq_of_dvd_of_not_dvd
- padicValNat_add_of_gt
- padicValNat_add_eq_min
---
[](https://gitpod.io/from-referrer/)
|
t-data
new-contributor
awaiting-author
|
36/0 |
Mathlib/Data/Nat/MaxPowDiv.lean |
1 |
7 |
['Ruben-VandeVelde', 'github-actions', 'openendings'] |
nobody |
35-3675 1 month ago |
35-29171 35 days ago |
3-62762 3 days |
| 38170 |
maddycrim author:maddycrim |
feat(Algebra/Module/FinitePresentation): Finitely Presented Module Lemma |
From FLT Project
Main Definitions:
`Module.FinitePresentation.exists_fin_exact` : A finitely presented module M admits an exact sequence F' -> F -> M -> 0 where F' and F are finite free modules.
---
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[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
awaiting-author
label:t-algebra$ |
9/0 |
Mathlib/Algebra/Module/FinitePresentation.lean |
1 |
17 |
['chrisflav', 'github-actions', 'maddycrim', 'themathqueen', 'vlad902'] |
nobody |
34-2006 1 month ago |
34-2006 34 days ago |
17-43852 17 days |
| 38951 |
thomaskwaring author:thomaskwaring |
feat(Order/PrimeSeparator): remove unnecessary hypotheses |
In `mem_ideal_sup_principal`, boundedness and distributivity were unused, and in `prime_ideal_of_disjoint_filter_ideal`, boundedness was only used to produce an element of the filter `F`, which is already nonempty by definition.
---
[](https://gitpod.io/from-referrer/)
|
t-order
new-contributor
|
9/19 |
Mathlib/Order/PrimeSeparator.lean |
1 |
2 |
['github-actions'] |
nobody |
33-85741 1 month ago |
33-85828 33 days ago |
33-85589 33 days |
| 36896 |
PieterCuijpers author:PieterCuijpers |
feat (Algebra/Order/Quantale): isMulLeftsided, isMulRightsided, isMulTwosided and strict versions |
* Adding definitions of quantale elements being leftsided, rightsided, and twosided, and strict versions
Should we include these definitions in the main Algebra/Order/Quantale.lean file, or start a separate file for them?
I have a few basic theorems I would like to include on these notions, but invite suggestions.
---
<!-- Your PR title will become the first line of the commit message.
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[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
awaiting-author
label:t-algebra$ |
81/1 |
Mathlib/Algebra/Order/Quantale.lean |
1 |
5 |
['NoahW314', 'PieterCuijpers', 'chrisflav', 'github-actions'] |
mariainesdff assignee:mariainesdff |
33-69551 1 month ago |
40-61806 40 days ago |
39-18222 39 days |
| 38973 |
hyeoniuwu author:hyeoniuwu |
feat(Computability): define (single oracle) turing reducibility, relate it to RecursiveIn and prove basic jump theorems |
feat(Computability): define (single oracle) Turing reducibility, relate it to RecursiveIn and prove basic jump theorems
Defines Turing reducibility and the jump operator, with total functions (from naturals to naturals) as oracles.
Defines codes for basic primitive recursive functions, and the evaluation function.
Proves basic reducibility arguments, such as `K0_eq_K` asserting that K0 of an oracle is Turing equivalent to K of an oracle.
Our reducibility is related back to `RecursiveIn` as is currently defined in Mathlib via the theorem `SingleReducibleIff`.
This is part of a larger repository where more advanced theorems such as KP54 have been proven. (https://github.com/hyeoniuwu/CiL)
Co-authored-by: Tanner Duve
---
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[](https://gitpod.io/from-referrer/)
|
new-contributor
awaiting-author
|
4988/0 |
Mathlib/Computability/SingleOracle/Basic.lean,Mathlib/Computability/SingleOracle/Constructions/Basic.lean,Mathlib/Computability/SingleOracle/Constructions/CovRec.lean,Mathlib/Computability/SingleOracle/Constructions/Dovetail.lean,Mathlib/Computability/SingleOracle/Constructions/Eval.lean,Mathlib/Computability/SingleOracle/Constructions/Eval_Aux.lean,Mathlib/Computability/SingleOracle/Constructions/List.lean,Mathlib/Computability/SingleOracle/Constructions/Meta.lean,Mathlib/Computability/SingleOracle/Constructions/Option.lean,Mathlib/Computability/SingleOracle/Constructions/Primitive.lean,Mathlib/Computability/SingleOracle/Encoding.lean,Mathlib/Computability/SingleOracle/Jump.lean,Mathlib/Computability/SingleOracle/Oracle.lean,Mathlib/Computability/SingleOracle/Order.lean,Mathlib/Computability/SingleOracle/RecursiveIn.lean,Mathlib/Computability/SingleOracle/Reducibilities.lean,Mathlib/Data/Option/Basic.lean,Mathlib/Tactic/Attr/Register.lean,Mathlib/Tactic/Computability/Basic.lean |
19 |
3 |
['github-actions', 'grunweg'] |
nobody |
33-40883 1 month ago |
unknown |
0-0 0 seconds |
| 37456 |
Robertboy18 author:Robertboy18 |
feat(LinearAlgebra/AffineSpace): add parallel form of Desargues's theorem |
This PR adds an affine parallel form of Desargues's theorem, corresponding to entry `87` of the Lean community “100 theorems” list and following the related Rocq/Coq affine-geometry statement.
**Main changes**
- New file `Mathlib/LinearAlgebra/AffineSpace/Desargues.lean` with `parallel_third_side_of_perspective`.
- Add the corresponding `public import` to `Mathlib.lean`.
- Update `docs/100.yaml` entry `87` with a note that this is the parallel affine form.
**Proof idea**
The proof compares side vectors using `exists_eq_smul_of_parallel` for the two given pairs of parallel sides. The shared comparison along `SA` forces the same scalar, which gives parallelism of the third pair of sides.
Tests: `lake build Mathlib.LinearAlgebra.AffineSpace.Desargues`
AI disclosure: GPT-5.2 Pro was used for assistance with web search/background details about the theorem and for finding useful existing Mathlib lemmas. The theorem statement and Lean formalization were written and checked by hand.
---
[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
awaiting-author
LLM-generated
label:t-algebra$ |
133/0 |
Mathlib.lean,Mathlib/LinearAlgebra/AffineSpace/Desargues.lean |
2 |
17 |
['Robertboy18', 'SnirBroshi', 'copilot-pull-request-reviewer', 'eric-wieser', 'github-actions', 'wwylele'] |
eric-wieser assignee:eric-wieser |
33-37521 1 month ago |
59-65669 59 days ago |
8-72313 8 days |
| 38792 |
openendings author:openendings |
wip, chore: rename Directed -> Predirected [please-adopt] |
This **incomplete** PR renames `Directed` to `Predirected`.
As [discussed in Zulip](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/.3E.20complete.20partial.20order.20and.20domain.20theory.20formalization/near/592156927), `Directed` misleadingly mismatches the literature. (The literature says a directed set is nonempty, and we do not.)
#### f19d3e79 Rename Directed -> Predirected (class + namespace)
Automated changes:
- LSP code action renaming `Directed` to `Predirected`
- with the affected 69 files open in [lean.nvim](https://github.com/julian/lean.nvim), a series of commands roughly equivalent to
```nvim
:bufdo :silent %s/\(theorem \|lemma \|to_dual \)Directed\>/\1Predirected/ge
:bufdo :silent %s/\<Directed\>\./Predirected./ge
:bufdo :w
```
EDIT: manual changes
- one `namespace Directed` replaced.
### Corners cut:
- line-length linting has **not** been resolved.
- no snake-cased `directed` has been renamed.
- only tested via `lake build --old`, plus maybe ten minutes of `lake build` before I (@openendings ) got bored and wanted my CPU back.
---
WIP
please-adopt
t-order
<!-- Your PR title will become the first line of the commit message.
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[](https://gitpod.io/from-referrer/)
|
please-adopt
new-contributor
WIP
merge-conflict
|
196/195 |
Mathlib/Algebra/Algebra/NonUnitalSubalgebra.lean,Mathlib/Algebra/Algebra/Subalgebra/Directed.lean,Mathlib/Algebra/Field/Subfield/Basic.lean,Mathlib/Algebra/Group/Subgroup/Lattice.lean,Mathlib/Algebra/Group/Submonoid/Membership.lean,Mathlib/Algebra/Group/Subsemigroup/Membership.lean,Mathlib/Algebra/Ring/Subring/Basic.lean,Mathlib/Algebra/Ring/Subsemiring/Basic.lean,Mathlib/Algebra/Star/NonUnitalSubalgebra.lean,Mathlib/Analysis/Convex/Basic.lean,Mathlib/Analysis/Convex/Strict.lean,Mathlib/Analysis/InnerProductSpace/Orthonormal.lean,Mathlib/CategoryTheory/Filtered/Basic.lean,Mathlib/Data/Finset/Order.lean,Mathlib/Data/Fintype/Order.lean,Mathlib/Data/Set/Accumulate.lean,Mathlib/Data/Set/Dissipate.lean,Mathlib/Data/Set/Finite/Lattice.lean,Mathlib/Data/Set/Lattice.lean,Mathlib/Data/Set/Lattice/Image.lean,Mathlib/Data/Set/Pairwise/Lattice.lean,Mathlib/Data/Set/UnionLift.lean,Mathlib/Dynamics/PeriodicPts/Lemmas.lean,Mathlib/FieldTheory/CardinalEmb.lean,Mathlib/FieldTheory/Extension.lean,Mathlib/FieldTheory/IntermediateField/Adjoin/Basic.lean,Mathlib/LinearAlgebra/Eigenspace/Basic.lean,Mathlib/LinearAlgebra/LinearIndependent/Lemmas.lean,Mathlib/LinearAlgebra/Span/Defs.lean,Mathlib/Logic/Encodable/Basic.lean,Mathlib/MeasureTheory/Function/SimpleFunc.lean,Mathlib/MeasureTheory/Integral/Lebesgue/Add.lean,Mathlib/MeasureTheory/Integral/Lebesgue/Basic.lean,Mathlib/MeasureTheory/Integral/Lebesgue/Sub.lean,Mathlib/MeasureTheory/Measure/MeasureSpace.lean,Mathlib/MeasureTheory/Measure/Restrict.lean,Mathlib/MeasureTheory/PiSystem.lean,Mathlib/ModelTheory/Satisfiability.lean,Mathlib/ModelTheory/Substructures.lean,Mathlib/ModelTheory/Syntax.lean,Mathlib/Order/CompactlyGenerated/Basic.lean,Mathlib/Order/CompletePartialOrder.lean,Mathlib/Order/ConditionallyCompletePartialOrder/Defs.lean,Mathlib/Order/ConditionallyCompletePartialOrder/Indexed.lean,Mathlib/Order/Directed.lean,Mathlib/Order/Filter/Bases/Basic.lean,Mathlib/Order/Filter/Basic.lean,Mathlib/Order/Filter/Lift.lean,Mathlib/Order/Filter/Map.lean,Mathlib/Order/OmegaCompletePartialOrder.lean,Mathlib/Order/Preorder/Chain.lean,Mathlib/Order/RelIso/Set.lean,Mathlib/Probability/Independence/Basic.lean,Mathlib/Probability/Independence/Conditional.lean,Mathlib/Probability/Independence/Kernel/Indep.lean,Mathlib/Probability/Independence/ZeroOne.lean,Mathlib/Probability/Kernel/Disintegration/CDFToKernel.lean,Mathlib/RingTheory/AlgebraicIndependent/Basic.lean,Mathlib/RingTheory/NonUnitalSubring/Basic.lean,Mathlib/RingTheory/NonUnitalSubsemiring/Basic.lean,Mathlib/Topology/Algebra/Valued/NormedValued.lean,Mathlib/Topology/Category/TopCat/Limits/Konig.lean,Mathlib/Topology/Compactness/Compact.lean,Mathlib/Topology/Compactness/CompactSystem.lean,Mathlib/Topology/Compactness/CountablyCompact.lean,Mathlib/Topology/Semicontinuity/Basic.lean,Mathlib/Topology/Separation/Hausdorff.lean,Mathlib/Topology/Separation/Profinite.lean,Mathlib/Topology/UniformSpace/UniformConvergenceTopology.lean |
69 |
7 |
['github-actions', 'kbuzzard', 'mathlib-merge-conflicts', 'openendings'] |
nobody |
33-32910 1 month ago |
unknown |
0-0 0 seconds |
| 38960 |
ajhendel author:ajhendel |
chore: remove ℕ+ interval_cases workaround in ADEInequality |
`interval_cases` now supports `ℕ+`, so the manual `Finset.mem_Iio`/`Finset.mem_Ico` + `conv` + `fin_cases` workaround (marked with a porting note) is no longer needed.
Replaces three 3-4 line workaround blocks with `interval_cases p`/`q`/`r`. |
t-number-theory
new-contributor
awaiting-CI
|
3/10 |
Mathlib/NumberTheory/ADEInequality.lean |
1 |
2 |
['github-actions'] |
nobody |
32-72102 1 month ago |
33-73034 33 days ago |
0-105 1 minute |
| 38374 |
idontgetoutmuch author:idontgetoutmuch |
Principal Bundles, Connection 1-forms and the Frame Bundle |
---
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[](https://gitpod.io/from-referrer/)
|
t-differential-geometry
new-contributor
|
2017/0 |
Mathlib/Geometry/Manifold/Algebra/FakeFormII.lean,Mathlib/Geometry/Manifold/Algebra/PrincipalGBundle.lean,Mathlib/Geometry/Manifold/Algebra/SmoothLieExp.lean |
3 |
2 |
['github-actions'] |
nobody |
31-70699 1 month ago |
unknown |
0-0 0 seconds |
| 38476 |
agusakov author:agusakov |
refactor(Combinatorics/Digraph): add vertex sets |
---
Adopting #33466
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|
t-combinatorics
new-contributor
awaiting-author
|
381/50 |
Mathlib/Combinatorics/Digraph/Basic.lean,Mathlib/Combinatorics/Digraph/Orientation.lean |
2 |
16 |
['Shreyas4991', 'YaelDillies', 'agusakov', 'github-actions'] |
nobody |
30-74217 30 days ago |
40-6358 40 days ago |
3-33232 3 days |
| 39108 |
idontgetoutmuch author:idontgetoutmuch |
feat(Geometry/Manifold/GroupLieAlgebra): Add mfderiv_mul_left_mul and left-translate for integral curves |
Add the following:
`mfderiv_mul_left_mul`: the derivative of left-multiplication satisfies a chain rule:
$$d(L_{g \cdot h})_x = d(L_g)_{h \cdot x} \circ d(L_h)_x$$
`mulInvariantVectorField_mul`: the vector field at the translated point is the push forward of the vector field:
$$V(g \cdot h) = d(L_g)_h(V(h))$$
`IsMIntegralCurve.left_translate`: using these, if $\gamma$ is an integral curve of $V$, then so is $t \mapsto g \bullet \gamma(t)$ for any $g \in G$, since:
$$\frac{d}{dt}(g \bullet \gamma(t)) = d(L_g)_{\gamma(t)}\left(\frac{d\gamma}{dt}(t)\right) = d(L_g)_{\gamma(t)}(V(\gamma(t))) = V(g \bullet \gamma(t))$$
I argue (*) all the time with LLMs so this PR will certainly have had some input from them. Is that enough of a disclosure?
(*) Like Lewis Carroll:
In my youth said the sage I took to the law and argued each case with wife
And the muscular strength that it gave to my jaw has lasted the rest of my life
|
t-differential-geometry
new-contributor
awaiting-author
LLM-generated
|
73/0 |
Mathlib/Geometry/Manifold/GroupLieAlgebra.lean |
1 |
8 |
['github-actions', 'grunweg'] |
nobody |
29-53273 29 days ago |
29-53338 29 days ago |
0-37992 10 hours |
| 39151 |
anovickis author:anovickis |
feat(Analysis/CStarAlgebra/Matrix): IsTopologicalGroup for specialUnitaryGroup |
Adds `ContinuousInv` and `IsTopologicalGroup` instances for `Matrix.specialUnitaryGroup n 𝕜`.
The unitary group `Matrix.unitaryGroup n α` already inherits these via the `unitaryGroup ≡ unitary R` abbrev + existing instances on `unitary R` (in `Mathlib/Topology/Algebra/Star/Unitary.lean`). However, `specialUnitaryGroup` is the sub-Submonoid `unitaryGroup ⊓ MonoidHom.mker detMonoidHom` — it does not auto-inherit those instances since it is not literally an alias of `unitary R`.
### New declarations
- `instance Matrix.specialUnitaryGroup.instContinuousInv` — proven via `Matrix.star_eq_inv` + `continuous_star`
- `instance Matrix.specialUnitaryGroup.instIsTopologicalGroup` — combining `ContinuousMul` (from Submonoid structure) + `ContinuousInv`
Both placed inside the existing `EntrywiseSupNorm` section in `Mathlib/Analysis/CStarAlgebra/Matrix.lean` (the natural neighborhood for matrix-specific topological structure on (special) unitary groups).
### Motivation
These instances enable using `specialUnitaryGroup` as a topological group in homogeneous-space constructions (e.g., `SU(3) ⧸ T = F₂` flag manifolds). They complement #39146 (CompactSpace instances for the same groups) — together giving the standard 'compact topological group' typeclass set on `specialUnitaryGroup`.
### Verification
\`\`\`lean
example : ContinuousInv (Matrix.specialUnitaryGroup (Fin 3) ℂ) := inferInstance -- now works
example : IsTopologicalGroup (Matrix.specialUnitaryGroup (Fin 3) ℂ) := inferInstance -- now works
\`\`\`
Both fail on master without this PR; both succeed after. |
t-analysis
new-contributor
awaiting-author
|
30/0 |
Mathlib/Analysis/CStarAlgebra/Matrix.lean |
1 |
3 |
['github-actions', 'j-loreaux', 'wwylele'] |
nobody |
28-42397 28 days ago |
28-42397 28 days ago |
0-3921 1 hour |
| 39191 |
m13683320924-hue author:m13683320924-hue |
feat: define Asymptotics.IsSubpolynomial |
This PR defines `Asymptotics.IsSubpolynomial l f g`, meaning that `f` is asymptotically bounded by `1 + ‖g‖ ^ k` for some `k : ℕ`.
It also adds basic closure lemmas for constants, addition, multiplication, and natural powers.
Towards #32658.
The formalization was developed with the help of Doubao-Seed-2.0-code and manually checked in Lean.
---
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t-analysis
new-contributor
|
259/0 |
Mathlib.lean,Mathlib/Analysis/Asymptotics/Subpolynomial.lean |
2 |
3 |
['github-actions'] |
nobody |
27-68355 27 days ago |
27-79316 27 days ago |
0-344 5 minutes |
| 34054 |
YellPika author:YellPika |
feat(Order/OmegaCompletePartialOrder): OmegaCompletePartialOrder instance for `Sigma` with basic `ωScottContinuous` lemmas |
This PR adds an `OmegaCompletePartialOrder` instance for `Sigma` along with `ωScottContinuous` lemmas for basic operations (`mk`, `fst`, `snd`). Appropriate lemmas are marked with `@[fun_prop]` so that the `fun_prop` tactic can automatically deduce `ωScottContinuous` proofs for functions involving `Sigma`s.
---
- [x] depends on: #33941
- [x] depends on: #37258
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|
new-contributor
t-order
please-merge-master
awaiting-author
|
231/0 |
Mathlib/Data/Sigma/Order.lean,Mathlib/Order/OmegaCompletePartialOrder.lean |
2 |
29 |
['Vierkantor', 'YellPika', 'github-actions', 'grunweg', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
grunweg assignee:grunweg |
27-63107 27 days ago |
107-44358 107 days ago |
16-66871 16 days |
| 39213 |
m13683320924-hue author:m13683320924-hue |
feat: define maximal cliques and independent sets |
This PR adds explicit predicates for maximal cliques and maximal independent sets:
- `SimpleGraph.IsMaximalClique`
- `SimpleGraph.IsMaximalIndepSet`
It also adds conversion lemmas to and from the existing `Maximal G.IsClique` and `Maximal G.IsIndepSet` formulations, plus basic complement and maximum-to-maximal lemmas.
Towards #34962.
The formalization was developed with the help of Doubao-Seed-2.0-code and manually checked in Lean.
---
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t-combinatorics
new-contributor
LLM-generated
|
60/22 |
Mathlib/Combinatorics/SimpleGraph/Clique.lean |
1 |
3 |
['SnirBroshi', 'github-actions'] |
nobody |
27-47762 27 days ago |
27-55591 27 days ago |
0-389 6 minutes |
| 32608 |
PrParadoxy author:PrParadoxy |
feat(LinearAlgebra/PiTensorProduct): API for PiTensorProducts indexed by sets |
This PR addresses a TODO item in LinearAlgebra/PiTensorProduct.lean:
* API for the various ways ι can be split into subsets; connect this
with the binary tensor product
-- specifically by describing tensors of type ⨂ (i : S), M i, for S : Set ι.
Our primary motivation is to formalise the notion of "restricted tensor
products". This will be the content of a follow-up PR.
Beyond that, the Set API is natural in contexts where the index type has
an independent interpretation. An example is quantum physics, where ι
ranges over distinguishable degrees of freedom, and where its is common
practice to annotate objects by the set of indices they are defined on.
---
Stub file with preliminary definition of the restricted tensor product as a direct limit of tensors indexed by finite subsets of an index type:
https://github.com/PrParadoxy/mathlib4/blob/restricted-stub/Mathlib/LinearAlgebra/PiTensorProduct/Restricted.lean
---
- [x] depends on: #32598
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|
new-contributor
awaiting-zulip
t-algebra
WIP
label:t-algebra$ |
300/2 |
Mathlib.lean,Mathlib/LinearAlgebra/PiTensorProduct.lean,Mathlib/LinearAlgebra/PiTensorProduct/Set.lean |
3 |
31 |
['PrParadoxy', 'dagurtomas', 'eric-wieser', 'github-actions', 'goliath-klein', 'leanprover-radar', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
nobody |
27-44941 27 days ago |
167-55663 167 days ago |
10-66980 10 days |
| 37299 |
XC0R author:XC0R |
feat(NumberTheory): Chebyshev's lower bound on primorial |
## Summary
Prove `primorial(n) ≥ 2^(n/2)` for all `n ≥ 2` (Chebyshev's 1852 lower bound). This is the lower bound complement to `primorial_le_four_pow`. Addresses the TODO at `Chebyshev.lean` line 50: "Prove Chebyshev's lower bound."
### New file: `Mathlib/NumberTheory/PrimorialLowerBound.lean`
**Main theorems:**
- `two_pow_le_primorial`: `2 ^ n ≤ primorial (2 * n)` for `n ≥ 29`
- `two_pow_div_two_le_primorial`: `2 ^ (n / 2) ≤ primorial n` for `n ≥ 2`
**Key intermediates:**
- `centralBinom_le_pow_mul_primorial`: `C(2n,n) ≤ (2n)^{π(√(2n)+1)} * primorial(2n)`
- `eight_mul_sq_add_le_two_pow`: `8u² + 16u + 8 ≤ 2^u` for `u ≥ 10`
### Proof technique
Central binomial decomposition: from `four_pow_lt_mul_centralBinom` and `factorization_choose_le_log`, bound `C(2n,n)` above by `(2n)^{π(√(2n)+1)} * primorial(2n)`. Rearranging gives `primorial(2n) ≥ 2^n` for `n ≥ 29`. Base cases by `norm_num` + `decide`, large `n` analytically via `√n` factoring.
### AI disclosure
Claude (Anthropic) was used as a coding assistant for Lean tactic exploration, file structuring, and CI debugging. All proof strategy, mathematical content, and final code have been reviewed and are understood by the author. |
t-number-theory
new-contributor
awaiting-author
|
226/2 |
Mathlib/NumberTheory/Chebyshev.lean,Mathlib/NumberTheory/Primorial.lean |
2 |
53 |
['MichaelStollBayreuth', 'Parcly-Taxel', 'XC0R', 'github-actions', 'mathlib-merge-conflicts', 'wwylele'] |
MichaelStollBayreuth assignee:MichaelStollBayreuth |
27-36946 27 days ago |
58-49049 58 days ago |
13-62238 13 days |
| 39232 |
jerwaynejones author:jerwaynejones |
feat(Analysis/Complex): residue theorem for rectangular contours |
Adds `Mathlib/Analysis/Complex/RectangleResidue.lean` (644 LoC), filling the gap between Cauchy–Goursat for rectangles (`Complex.integral_boundary_rect_eq_zero_of_differentiable_on_off_countable`) and the Cauchy integral formula for circles. The file proves the residue formula for rectangular boundary integrals together with a rotated principal log branch needed to evaluate the left-edge integral that crosses the standard cut.
## Why
Mathlib has Cauchy–Goursat for rectangles and the Cauchy integral formula for circles, but no residue theorem for rectangular contours. This file fills that gap. It was extracted from a downstream Lean 4 formalization project (a conditional proof of Goldbach's conjecture, where contour shifting on rectangles arises naturally in Perron's formula).
## Main results
- **`Complex.hasDerivAt_log_neg`** — the rotated logarithm `log_neg z := log (-z) + I * π` has derivative `z⁻¹` on the rotated slit plane `{z | -z ∈ slitPlane}` (cut on the positive real axis).
- **`Complex.boundaryIntegral_inv_sub_eq_two_pi_I`** — for `ρ` strictly inside the rectangle `[z, w]`, `∮_{∂[z,w]} (s − ρ)⁻¹ ds = 2πi`.
- **`Complex.boundaryIntegral_eq_residue_sum`** — parametric residue theorem for a sum of simple poles plus a holomorphic remainder, packaged as `Complex.RectangleResidueData`.
- **`Complex.boundaryIntegral_single_pole`** — the one-pole specialization.
## Structure
The development proceeds in five stages:
1. A notation `Complex.boundaryIntegral` for the oriented boundary integral over `[z, w]`, with a Cauchy–Goursat wrapper and additivity/scaling lemmas.
2. A rotated principal logarithm `Complex.log_neg z := log (-z) + I * π` with cut on the *positive* real axis, plus its derivative and corner-comparison identities with the standard `Complex.log`.
3. Explicit FTC-based evaluations of the four edge integrals of `(s − ρ)⁻¹`.
4. A closed-form residue boundary integral `∮_{∂[z,w]} (s − ρ)⁻¹ ds = 2πi` for `ρ` strictly inside the rectangle.
5. A parametric residue theorem for sums of simple poles plus a holomorphic remainder, packaged as `Complex.RectangleResidueData`.
## References
- L. Ahlfors, *Complex Analysis* (3rd ed.), §4.5.
- E. Stein and R. Shakarchi, *Complex Analysis*, Ch. 2 §3 Thm 3.1.
## Status
Draft while CI verifies the build against current `master` — the file was developed against `v4.28.0` and cherry-picked forward 2942 commits, so import surface changes are possible. Once CI is green I will flip to ready-for-review.
🤖 Generated with [Claude Code](https://claude.com/claude-code) |
t-analysis
new-contributor
|
644/0 |
Mathlib.lean,Mathlib/Analysis/Complex/RectangleResidue.lean |
2 |
2 |
['github-actions'] |
nobody |
27-8416 27 days ago |
unknown |
0-0 0 seconds |
| 39165 |
allenhaozhu author:allenhaozhu |
feat(Probability/Moments): add IsSubExponential class |
Add `ProbabilityTheory.IsSubExponential X μ ν b`, the sub-exponential random variable class: `mgf X μ s ≤ exp (s²ν/2)` for `|s| < 1/b`. Mirror the structure of the existing `Mathlib/Probability/Moments/SubGaussian.lean`. Include constructor lemmas (`IsSubExponential.const`, `mono_b`, `mono_nu`) and a tail bound derived through Mathlib's `measure_ge_le_exp_mul_mgf`.
---
## AI-assistance disclosure
Per the Mathlib [AI-use policy](https://leanprover-community.github.io/contribute/index.html#use-of-ai):
- **Tool.** Claude Code (Anthropic) with the Claude Sonnet 4.6 model.
- **Use.** I specified the target lemma statements and the proof strategy; the assistant drafted Lean 4 tactic combinations against current Mathlib. I iterated on the proofs, verified each lemma builds under `lake build` from a clean checkout, and read the final code.
- **Vouching.** I have read every declaration in this file and can defend the proofs without further AI assistance. I welcome reviewer feedback on naming, namespace placement, and stylistic alignment with the surrounding Mathlib modules. |
t-measure-probability
new-contributor
LLM-generated
awaiting-author
|
257/0 |
Mathlib.lean,Mathlib/Probability/Moments/SubExponential.lean |
2 |
4 |
['allenhaozhu', 'github-actions', 'grunweg'] |
nobody |
26-74239 26 days ago |
27-83882 27 days ago |
0-2698 44 minutes |
| 39168 |
allenhaozhu author:allenhaozhu |
feat(Analysis/Convex/Subgradient): add subgradient characterization for |·| and ℓ¹ |
Add `Convex.IsAbsSubgradient x g`, the predicate that `g` is a subgradient of `|·|` at `x`. Prove the standard characterization: the only subgradient at `x > 0` is `1`; at `x < 0` it is `-1`; at `x = 0` the subgradients are exactly `[-1, 1]`. Add `IsL1Subgradient`, the componentwise lift to `Fin n → ℝ` used by ℓ¹-regularized estimation (Lasso KKT).
---
## AI-assistance disclosure
Per the Mathlib [AI-use policy](https://leanprover-community.github.io/contribute/index.html#use-of-ai):
- **Tool.** Claude Code (Anthropic) with the Claude Sonnet 4.6 model.
- **Use.** I specified the target lemma statements and the proof strategy; the assistant drafted Lean 4 tactic combinations against current Mathlib. I iterated on the proofs, verified each lemma builds under `lake build` from a clean checkout, and read the final code.
- **Vouching.** I have read every declaration in this file and can defend the proofs without further AI assistance. I welcome reviewer feedback on naming, namespace placement, and stylistic alignment with the surrounding Mathlib modules. |
t-analysis
new-contributor
LLM-generated
awaiting-author
|
231/0 |
Mathlib.lean,Mathlib/Analysis/Convex/Subgradient/Abs.lean |
2 |
4 |
['allenhaozhu', 'github-actions', 'grunweg'] |
nobody |
26-74237 26 days ago |
27-83967 27 days ago |
0-2608 43 minutes |
| 38606 |
dennj author:dennj |
feat: preparation for Vanishing Sum of Roots of Unity |
Adds the Mathlib API extensions needed for an upcoming formalization of the Lam-style classification theorem for vanishing sums of roots of unity.
* Mathlib/LinearAlgebra/LinearIndependent/Lemmas.lean
+ `exists_eq_const_of_sum_smul_eq_zero_of_sum_eq_zero_of_linearIndependent`: if `∑ vᵢ = 0` and the first `n-1` of `n` vectors are linearly independent, every linear relation has constant coefficients.
* Mathlib/RingTheory/Radical/NatInt.lean
+ `Nat.totient_eq_div_radical_mul_totient_radical`: Euler's totient splits as `φ(n) = (n / rad n) * φ(rad n)`.
* Mathlib/RingTheory/RootsOfUnity/PrimitiveRoots.lean
+ `IsPrimitiveRoot.sum_range_pow_mul_div_eq_zero_of_dvd`: the `d` evenly-spaced powers of a primitive `k`-th root sum to zero, for `d ∣ k` and `1 < d`.
* Mathlib/NumberTheory/Cyclotomic/LinearDisjoint.lean (new)
+ `IsPrimitiveRoot.linearDisjoint_adjoin_pow_of_coprime`: cyclotomic subfields of coprime orders are linearly disjoint over `ℚ`.
* Mathlib/NumberTheory/Cyclotomic/LinearRelations.lean (new)
+ `IsPrimitiveRoot.coeffs_eq_of_sum_pow_eq_zero_prime_coprime`: in the cyclotomic field of order `p * m` with `p` prime coprime to `m`, any `ℚ⟮ζ^p⟯`-linear relation among powers of `ζ^m` has all coefficients equal.
---
I need these as preparation to start formalizing the theorem:
Let k be a positive integer. If a finite family of complex k-th roots of unity sums to zero, then the size of the family is a non-negative integer combination of the prime divisors of k.
---
Human-made PR with AI used for golfing and documentation |
new-contributor |
219/0 |
Mathlib.lean,Mathlib/LinearAlgebra/LinearIndependent/Lemmas.lean,Mathlib/NumberTheory/Cyclotomic/LinearDisjoint.lean,Mathlib/NumberTheory/Cyclotomic/LinearRelations.lean,Mathlib/RingTheory/Radical/Totient.lean,Mathlib/RingTheory/RootsOfUnity/PrimitiveRoots.lean |
6 |
3 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
25-62726 25 days ago |
25-40895 25 days ago |
8-31594 8 days |
| 39279 |
jayscambler author:jayscambler |
feat(Cryptography/Sigma): Schnorr sigma protocol and signature scheme |
Adds `Mathlib/Cryptography/Sigma/Schnorr.lean`. New file in a new top-level directory; mathlib currently has no `Mathlib/Cryptography/`, so I've taken `Mathlib/Cryptography/Sigma/` as the natural home for sigma-protocol formalizations.
The file proves the three defining properties of Schnorr's identification scheme as a sigma protocol:
- `Schnorr.correct`: completeness. Honest verifier accepts honest signer's transcript.
- `Schnorr.specialSoundness`: from two accepting transcripts sharing the commitment but using different challenges `c, c'`, the witness `x = (s - s') / (c - c')` is recovered. Needs `q` prime so `c - c'` is invertible in `ZMod q`.
- `Schnorr.hvzkAccepts`: the HVZK simulator `g^s · (y^c)⁻¹` always yields accepting transcripts. This is the structural-correctness half of HVZK only; the distributional indistinguishability statement is a separate result and not in this PR.
On top of the sigma protocol there's `Schnorr.Signature.{keyGen, sign, verify, correct}` wrapping it as a Fiat-Shamir signature scheme; `Schnorr.Signature.correct` is a one-line corollary of `Schnorr.correct`.
Two auxiliary lemmas, `Schnorr.gpow_sub` and `Schnorr.gpow_mul`, bridge `ZMod q` arithmetic and group exponentiation under `Fintype.card G = q`. They're local to this file for now because the surrounding `gpow` API is itself cryptography-specific; if a general `ZMod q`-graded group action framework lands in mathlib later, both lemmas would become instances of it.
There's also a small `example` instantiating everything on `Multiplicative (ZMod q)` for `Fact q.Prime` to show the API typechecks. That instantiation is a toy (DLOG is trivial in that group), but it confirms the abstraction is usable.
**AI disclosure**: this PR was a collaboration between myself, Grey Haven's autocontext and Claude Opus 4.7 (Anthropic). I read each line and built locally on current master. (strawberry has three r's) |
new-contributor
LLM-generated
|
352/0 |
Mathlib.lean,Mathlib/Cryptography/Sigma/Schnorr.lean |
2 |
2 |
['github-actions'] |
nobody |
25-60078 25 days ago |
25-60157 25 days ago |
25-60408 25 days |
| 31662 |
edwin1729 author:edwin1729 |
feat(Topology/Order): topological basis of scott topology on Complete… |
…PartialOrder
---
[Zulip discussion](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/.3E.20Algebraic.20complete.20partial.20order.20and.20domain.20theory/with/536359313) for this PR.
(2/5) PRs in domain theory, proving that scott topologies over Algebraic DCPOs (`CompletePartialOrder`) are sober.
The main reference is [Renata, Duality in Domain Theory](https://alyata.github.io/documents/duality_domain_theory.pdf). But the statements can also be found in the canonical text [Abramsky and Jung](https://www.cs.ox.ac.uk/people/samson.abramsky/handbook.pdf)
This first PR proves two prerequisites, namely:
- the specialization order induced by the scott topology corresponds to the existing order of the DCPO. Prop 3.1.5 in [Duality in Domain Theory](https://alyata.github.io/documents/duality_domain_theory.pdf) and Prop 2.3.2(1) in [Abramsky and Jung](https://www.cs.ox.ac.uk/people/samson.abramsky/handbook.pdf)
- the upward closures of compact elements of the DCPO form a topological basis for the Scott Topology. Prop 3.5.2 in [Duality in Domain Theory](https://alyata.github.io/documents/duality_domain_theory.pdf) and Prop 2.3.6(2) in [Abramsky and Jung](https://www.cs.ox.ac.uk/people/samson.abramsky/handbook.pdf)
- [x] depends on: #33061
**The next PR is here:** #31670
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|
t-topology
new-contributor
awaiting-author
|
165/1 |
Mathlib.lean,Mathlib/Order/CompactlyGenerated/Basic.lean,Mathlib/Topology/Order/ScottTopology.lean,Mathlib/Topology/Order/ScottTopologyDCPO.lean,docs/references.bib |
5 |
99 |
['b-mehta', 'edwin1729', 'github-actions', 'mathlib-merge-conflicts', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot', 'plp127'] |
b-mehta assignee:b-mehta |
25-50589 25 days ago |
33-52025 33 days ago |
64-31147 64 days |
| 37928 |
AlexeyMilovanov author:AlexeyMilovanov |
refactor(Computability.Encoding): unbundle Γ and remove FinEncoding |
This PR unbundles the alphabet `Γ` from the `Encoding` structure and completely removes `FinEncoding`.
`Encoding`: The alphabet `Γ` is now an explicit parameter: `structure Encoding (α : Type u) (Γ : Type v)`.
`FinEncoding`: Removed. Finiteness is now handled via standard typeclasses (e.g., `[Fintype Γ] (e : Encoding α Γ)`).
Combinators: Functions like `finEncodingPair` are simplified to `encodingPair`, dropping the `fin` prefix and `[Fintype]` requirements where no longer needed.
Downstream: Mechanically updated `Mathlib.Computability` and `Mathlib.ModelTheory` to pass the explicit `Γ` and use `[Fintype Γ]` where `FinEncoding` was previously required.
|
new-contributor
maintainer-merge
|
87/67 |
Mathlib/Computability/Encoding.lean,Mathlib/ModelTheory/Encoding.lean |
2 |
9 |
['AlexeyMilovanov', 'dagurtomas', 'github-actions', 'vihdzp'] |
nobody |
25-31549 25 days ago |
31-82527 31 days ago |
57-62144 57 days |
| 39341 |
drocta author:drocta |
feat(Algebra/Colimit/DirectLimit): add DirectLimit.(NonUnital)StarAlgebra.(lift/of) maps and associated lemmas |
add the `of` and `lift` maps for `DirectLimit.StarAlgebra` and `DirectLimit.NonUnitalStarAlgebra`, as well as the associated lemmas, `of_f`, `lift_comp_of`, `lift_of`, and `hom_ext` for each. Also make `DirectLimit.NonUnitalAlgebra` only require `[Monoid R]` rather than `[CommSemiring R]`.
---
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Use of AI: I again asked ChatGPT for some advice about some things about this code. I can personally vouch for all of the code I'm submitting, and that I understand all of it.
This is the third part of my project towards supporting direct limits of $C^∗$ -algebras (as I described [on Zulip](https://leanprover.zulipchat.com/#narrow/channel/113489-new-members/topic/Early.20feedback.20on.20approach.20towards.20formalizing.20UHF.20algebras.3F) ).
This PR adds an import of `Mathlib.Algebra.Star.StarAlgHom` (because it needs `StarAlgHom` and `NonUnitalStarAlgHom`) replacing/encompassing the previously added imports of `Mathlib.Algebra.Star.StarRingHom` and `Mathlib.Algebra.Algebra.NonUnitalHom` (added in PR #38308 and #38672 respectively). |
t-algebra
new-contributor
label:t-algebra$ |
100/3 |
Mathlib/Algebra/Colimit/DirectLimit.lean |
1 |
2 |
['github-actions'] |
nobody |
25-26101 25 days ago |
25-28793 25 days ago |
25-28554 25 days |
| 37666 |
TJHeeringa author:TJHeeringa |
feat(Analysis/InnerProductSpace/Reproducing): Lipschitz wrt the kernel pseudometric |
---
RKHSs $H$ have bounded point evaluations. This induces a pseudometric on the underlying space `X`. The function $f\in H$ are Lipschitz continuous with Lipschitz constant $\||f\||$.
This PR puts the pseudometric instance inline. The instance cannot just be put outside the theorem, because that gives problems with resolving type classes / instance synthesis. An alternative to inlining the instance is a type class synonym. One copy would be the RKHS with whatever metric X came equipped with and one copy would be the RKHS with the induced metric. Since there are likely more theorems depending on this pseudometric, I suspect that it is actually a better solution.
AI:
I had the instance outside the theorem. Lean gave problems with resolving type classes / instance synthesis. I asked Claude and ChatGPT to interpret the error and fix it. The latter just spit gibberish and the former suggested inlining but in a way that didn't work. Then, I asked on Zulip and got the same suggestion but working. The type synonym alternative was also suggested there.
<!-- Your PR title will become the first line of the commit message.
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|
t-analysis
new-contributor
help-wanted
|
71/6 |
Mathlib/Analysis/InnerProductSpace/Reproducing.lean |
1 |
3 |
['TJHeeringa', 'github-actions'] |
nobody |
24-67754 24 days ago |
unknown |
0-0 0 seconds |
| 33985 |
YellPika author:YellPika |
feat(Order/OmegaCompletePartialOrder): `OmegaCompletePartialOrder` instance for `Sum` with basic `ωScottContinuous` lemmas |
This PR adds an `OmegaCompletePartialOrder` instance for `Sum`, along with `ωScottContinuous` lemmas for basic operations (`inl`, `inr`, `elim`). Appropriate lemmas are marked with `@[fun_prop]` so that the `fun_prop` tactic can automatically deduce `ωScottContinuous` proofs for functions involving `Sum`s (e.g. see the proof of `Sum.ωScottContinuous_map`).
---
- [x] depends on: #33941
- [x] depends on: #37258
<!-- Your PR title will become the first line of the commit message.
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[](https://gitpod.io/from-referrer/)
|
new-contributor
large-import
t-order
awaiting-author
|
205/3 |
Mathlib/Data/Sum/Basic.lean,Mathlib/Data/Sum/Order.lean,Mathlib/Order/OmegaCompletePartialOrder.lean,Mathlib/Order/ScottContinuity.lean,Mathlib/Topology/Constructions/SumProd.lean |
5 |
58 |
['Komyyy', 'Vierkantor', 'YaelDillies', 'YellPika', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'vihdzp'] |
YaelDillies and pechersky assignee:pechersky assignee:YaelDillies |
24-59083 24 days ago |
65-64893 65 days ago |
52-59724 52 days |
| 37722 |
SabrinaJewson author:SabrinaJewson |
feat(Order/Cover): intervals equal singletons iff |
To complement `Set.Icc_eq_singleton_iff`, this introduces:
- `Set.Ioc_eq_singleton_iff` / `Set.Ico_eq_singleton_iff`
- `Set.Ico_eq_singleton_left_iff` / `Set.Ioc_eq_singleton_right_iff`
- `Set.Ioi_eq_singleton_iff` / `Set.Iio_eq_singleton_iff`
- `Set.Ioi_eq_singleton_top_iff` / `Set.Iio_eq_singleton_bot_iff`
- `Set.Ioo_eq_singleton_iff`
---
<!-- Your PR title will become the first line of the commit message.
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may create empty commits to indicate co-authorship, using commands like so:
git commit --author="Author Name <author@email.com>" --allow-empty -m "add Author Name as coauthor"
Second, co-authors can also be listed in lines at the very bottom of
the commit message (that is, directly before the `---`) using the following format:
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[](https://gitpod.io/from-referrer/)
|
t-order
new-contributor
awaiting-author
maintainer-merge
|
39/0 |
Mathlib/Order/Atoms.lean,Mathlib/Order/Cover.lean |
2 |
16 |
['Komyyy', 'SabrinaJewson', 'github-actions', 'mathlib-merge-conflicts'] |
bryangingechen assignee:bryangingechen |
24-51040 24 days ago |
27-3997 27 days ago |
35-12445 35 days |
| 39392 |
jayscambler author:jayscambler |
feat(Cryptography): one-time pad and Shannon perfect secrecy |
Adds `Mathlib/Cryptography/OTP.lean`. One-time pad over an arbitrary
finite abelian group `G`:
- `OTP.encrypt k m := m + k`, `OTP.decrypt k c := c - k`.
- `OTP.correct`: `decrypt k (encrypt k m) = m`, by `abel`.
- `OTP.perfect_secrecy`: for any `m₀, m₁`, the distributions of
`encrypt k m₀` and `encrypt k m₁` over uniform `k` are equal;
both reduce to `PMF.uniformOfFintype G`. Proof goes via
`Equiv.addLeft`.
Independent of the Schnorr PR (#39279); no shared definitions. Unlike
everything else likely to live under `Mathlib/Cryptography/`, the
security guarantee here is information-theoretic, not computational.
**AI disclosure**: this PR was a collaboration between myself, Grey
Haven's autocontext and Claude Opus 4.7 (Anthropic). I read each
line and built locally on current master. (strawberry has three r's) |
new-contributor
LLM-generated
|
76/0 |
Mathlib.lean,Mathlib/Cryptography/OTP.lean |
2 |
3 |
['MrBrain295', 'github-actions'] |
nobody |
24-22630 24 days ago |
24-45104 24 days ago |
24-44865 24 days |
| 39393 |
jayscambler author:jayscambler |
feat(GameTheory): von Neumann minimax theorem for finite matrix games |
Adds `Mathlib/GameTheory/MatrixGame.lean`. Resolves the TODO at
`Mathlib/Topology/Sion.lean:48` ("spell out the particular case of
von Neumann theorem") by specialising
`Sion.exists_isSaddlePointOn` to the bilinear payoff
`∑ i j, x i * M i j * y j` on the pair of standard simplices.
Two theorems:
- `Matrix.exists_saddle_point`: existence of a saddle point in
mathlib's `IsSaddlePointOn` convention (`a` minimiser-in-`X`,
`b` maximiser-in-`Y`).
- `Matrix.exists_mixedNash`: existence of a mixed Nash equilibrium
in the textbook matrix-game orientation (row player maximises,
column player minimises). Proved by applying Sion to `-payoff M`.
Both forms are useful: the first matches mathlib's existing
saddle-point machinery, and the second is the statement most
game-theory texts use directly.
Supporting lemmas: continuity of the payoff in each argument
(linear in each), and quasi-convexity / quasi-concavity from
`LinearMap.convexOn` / `LinearMap.concaveOn`. The simplex
hypotheses for Sion (`Convex`, `IsCompact`, `Nonempty`) come from
existing mathlib lemmas (`convex_stdSimplex`,
`isCompact_stdSimplex`, `single_mem_stdSimplex`).
Creates a new top-level `Mathlib/GameTheory/` directory; mathlib
currently has none. A natural follow-up would be a
`Mathlib/GameTheory/NormalForm.lean` for general n-player
normal-form games and pure Nash equilibrium.
**AI disclosure**: this PR was a collaboration between myself, Grey
Haven's autocontext and Claude Opus 4.7 (Anthropic). I read each
line and built locally on current master. (strawberry has three r's) |
t-topology
new-contributor
LLM-generated
|
216/2 |
Mathlib.lean,Mathlib/GameTheory/MatrixGame.lean,Mathlib/Topology/Sion.lean |
3 |
3 |
['github-actions', 'vihdzp'] |
nobody |
24-5907 24 days ago |
24-39837 24 days ago |
0-355 5 minutes |
| 22925 |
ggranberry author:ggranberry |
feat(Mathlib/PlaceHolder/ToeplitzHausdorff): Toeplitz-Hausdorff |
---
<!-- The text above the `---` will become the commit message when your
PR is merged. Please leave a blank newline before the `---`, otherwise
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For details on the "pull request lifecycle" in mathlib, please see:
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In particular, note that most reviewers will only notice your PR
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Please ask for help on https://leanprover.zulipchat.com if needed.
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(that is, before the `---`) using the following format:
Moves:
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If this PR depends on other PRs, please list them below this comment,
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[](https://gitpod.io/from-referrer/)
|
WIP
new-contributor
will-close-soon
awaiting-author
help-wanted
t-analysis
|
411/0 |
Mathlib/PlaceHolder/ToeplitzHausdorff.lean,Mathlib/PlaceHolder/ToeplitzHausdorff_v2.lean |
2 |
16 |
['AntoineChambert-Loir', 'faenuccio', 'ggranberry', 'github-actions', 'vihdzp'] |
faenuccio assignee:faenuccio |
23-70834 23 days ago |
447-62343 447 days ago |
3-8649 3 days |
| 39270 |
m13683320924-hue author:m13683320924-hue |
feat: prove strict group homs are stable under Prod.map |
This PR proves that strict group homomorphisms are stable under product maps.
It adds an auxiliary lemma showing that the range restriction of a strict group homomorphism is an open quotient map, and uses it to prove that `MonoidHom.prodMap` preserves `Topology.IsStrictMap`.
Towards #38421.
|
t-topology
new-contributor
|
44/0 |
Mathlib/Topology/Algebra/Group/Basic.lean |
1 |
7 |
['eric-wieser', 'github-actions', 'm13683320924-hue'] |
nobody |
23-55187 23 days ago |
26-44601 26 days ago |
0-1401 23 minutes |
| 39456 |
BMMilligan1 author:BMMilligan1 |
feat(Probability/PMF): advantageFromHalf for Bool-valued PMFs |
This PR adds `PMF.advantageFromHalf : PMF Bool → ℝ`, defined as
`2 * (p true).toReal - 1`, together with API lemmas covering bounds
(`_le_one`, `_neg_one_le`), the zero-advantage characterization
(`_eq_zero_iff_half`), `PMF.map` composition (`_map_tsum`), and
canonical witness evaluations on `uniformOfFintype Bool`,
`pure true`, and `pure false`.
## Motivation
The "advantage from half" of a Bernoulli-like distribution is the signed
gap of the `true`-probability away from `1/2`, rescaled to `[-1, 1]`.
It is the natural decision-algorithm advantage notion in computational
complexity: when a heuristic `H : α → Bool` is post-composed with a
`PMF α` via `PMF.map`, the resulting `PMF Bool`'s `advantageFromHalf`
is the advantage of `H` as a decision procedure on the source
distribution.
Concretely, the definition supports formalizations of Hirahara 2018
(FOCS, [arXiv:1808.06974](https://arxiv.org/abs/1808.06974))
Theorem 1.1's worst-case-to-average-case reduction for Gap-MCSP,
where the heuristic algorithm's advantage `ε(n) = 1/poly(n)` over
the uniform truth-table distribution is the load-bearing quantity.
The current Mathlib `PMF` library supports `PMF.uniformOfFintype`
(see `Mathlib/Probability/Distributions/Uniform.lean`) but lacks
the bias-from-half notion at this signature.
## API summary
- `PMF.advantageFromHalf : PMF Bool → ℝ`
- `PMF.advantageFromHalf_le_one` (`@[simp]`)
- `PMF.advantageFromHalf_neg_one_le` (`@[simp]`)
- `PMF.advantageFromHalf_eq_zero_iff_half`
- `PMF.advantageFromHalf_map_tsum`
- `PMF.advantageFromHalf_uniformBool` (witness: advantage 0)
- `PMF.advantageFromHalf_pure_true` (witness: advantage 1)
- `PMF.advantageFromHalf_pure_false` (witness: advantage -1)
## Notes
* The file lives at `Mathlib/Probability/ProbabilityMassFunction/Advantage.lean`,
alphabetically before `Basic.lean`, and is imported in `Mathlib.lean`
at the corresponding alphabetical position.
* All proofs are sorry-free.
* The definition is `noncomputable` (matches `PMF` style; `(p true).toReal`
threading through `ENNReal`).
* No new imports outside the existing PMF / ENNReal substrate.
* Maintainer review of the naming (`advantageFromHalf` vs alternative
candidates like `biasFromHalf`) and of whether the `tsum`-form
composition lemma should be supplemented by a `Finset.sum` variant
for `Fintype` sources is most welcome.
Co-authored-by: Claude Opus 4.7 (1M context) <noreply@anthropic.com>
|
t-measure-probability
new-contributor
|
120/0 |
Mathlib.lean,Mathlib/Probability/ProbabilityMassFunction/Advantage.lean |
2 |
2 |
['github-actions'] |
nobody |
23-23143 23 days ago |
unknown |
0-0 0 seconds |
| 37707 |
MavenRain author:MavenRain |
feat(Combinatorics/SimpleGraph): add IsMaximalClique/IsMaximalIndepSet, refactor IsMaximum* to MaximalFor |
Addresses #34962
|
new-contributor
t-combinatorics
|
63/31 |
Mathlib/Combinatorics/SimpleGraph/Clique.lean |
1 |
6 |
['MavenRain', 'SnirBroshi', 'eric-wieser', 'github-actions'] |
nobody |
23-6353 23 days ago |
23-6425 23 days ago |
23-7826 23 days |
| 26479 |
thefundamentaltheor3m author:thefundamentaltheor3m |
feat(Analysis/Complex/CauchyIntegral): Cauchy–Goursat for Unbounded Rectangles |
In this PR, we prove versions of the Cauchy-Goursat theorem where the contours in question are rectangular and unbounded (ie, where the contours look like the $\bigsqcup$ symbol). I am not sure if I have formalised these in the best way, or if `Analysis.Complex.CauchyIntegral` is the best place for them (it might be prudent to reorganise the file into multiple files at some point), but I believe this is a useful result. Suggestions welcome.
---
<!-- The text above the `---` will become the commit message when your
PR is merged. Please leave a blank newline before the `---`, otherwise
GitHub will format the text above it as a title.
For details on the "pull request lifecycle" in mathlib, please see:
https://leanprover-community.github.io/contribute/index.html
In particular, note that most reviewers will only notice your PR
if it passes the continuous integration checks.
Please ask for help on https://leanprover.zulipchat.com if needed.
To indicate co-authors, include lines at the bottom of the commit message
(that is, before the `---`) using the following format:
Co-authored-by: Author Name <author@email.com>
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:
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- [ ] depends on: #xyz [optional extra text]
-->
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-analysis
sphere-packing
|
219/0 |
Mathlib/Analysis/Complex/CauchyIntegral.lean |
1 |
7 |
['github-actions', 'j-loreaux', 'loefflerd', 'mathlib4-merge-conflict-bot', 'thefundamentaltheor3m', 'wwylele'] |
urkud assignee:urkud |
21-14168 21 days ago |
21-14168 21 days ago |
55-25151 55 days |
| 35122 |
Marygold-Dusk author:Marygold-Dusk |
feat: define C^n submersions |
This PR defines submersions between C^n manifolds. In the infinite-dimensional setting, submersions are defined via local normal forms rather than surjectivity of the mfderiv. A map f is a submersion at x if, in suitable charts around x and f x, it has the form (u, v) ↦ u after identifying the model space with a product.
We prove a few basic properties:
- being a submersion is a local property,
- products of submersions are submersions,
- the set of submersed points is open
Future PRs will prove that submersions are C^n and deduce equivalence with the standard definition in finite dimensions. From the path towards the regular value theorem.
This file was developed under the supervision of Michael Rothgang.
Co-authored-by: Michael Rothgang <rothgang@math.uni-bonn.de>
---
Most of the design is analogues to immersions.
|
t-differential-geometry
new-contributor
|
642/0 |
Mathlib.lean,Mathlib/Geometry/Manifold/Submersion.lean,docs/references.bib |
3 |
54 |
['Marygold-Dusk', 'chrisflav', 'github-actions', 'grunweg'] |
PatrickMassot and grunweg assignee:grunweg assignee:PatrickMassot |
21-2356 21 days ago |
21-2356 21 days ago |
65-22651 65 days |
| 37010 |
pion2024 author:pion2024 |
`Sl2`update: add theorem `finrank_weightSpace_eq_one_of_isIrreducible` |
# Background:
I am a 2nd year undergrad student in mathematics currently self-teaching Lie algebra and representation theory.
Before starting the formalization, I searched for related keywords on Zulip and in the GitHub issues and commits. As far as I could tell, there were no existing results or ongoing attempts before I started.
All feedback is welcome. Even a quick check on the statement design/an idea on the generalization (cf Limitations below) would be incredibly helpful.
# Overview
In this PR, I added the new section `IsAlgClosedIrreducible` which formalizes the well-known theorem `finrank_weightSpace_eq_one_of_isIrreducible` for the Lie algebra $\mathfrak{sl}_2$ step by step. It proves that for a finite-dimensional irreducible representation of $\mathfrak{sl}_2$ over an algebraically closed field $K$ of characteristic zero, every non-trivial weight space has a dimension of exactly 1.
# Formalization Structure :
Instead of relying on explicit finite sums (`Finset.sum`) and manipulating coefficients, I heavily leverage Mathlib's abstractions in Submodule Lattice Theory and Coordinate-free Linear Algebra. The formalization proceeds in the following logic:
1. Existence of a Primitive Vector (`exists_primitiveVector`): I construct a primitive (highest-weight) vector by showing that repeated applications of the raising operator $e$ must eventually yield zero due to the finite-dimensionality of $M$ and the linear independence of eigenvectors corresponding to distinct eigenvalues.
2. The span of $f$-Tower as a Lie Submodule equals to the whole space (`fTowerLieSubmodule_eq_top`): I define the $f$-tower submodule as the $K$-span of $\{f^k m \mid k \in \mathbb{N}\}$. By proving its closure under the action of $f, h$, and $e$, I establish it as a Lie submodule. Since $M$ is irreducible, this submodule must be the entire space ($\top$).
3. Submodule Lattice Operations (`exists_mem_fTower_of_weightSpace_ne_bot`): To prove that every weight in $M$ is of the form $\mu_0 - 2k$, I use lattice operations (iSup, inf, and Disjoint) to avoid element-wise tracking. Since the $f$-tower spans $M$, the supremum of its weight spaces is $\top$. By leveraging `Module.End.eigenspaces_iSupIndep`, I show that any arbitrary non-trivial weight space would have a trivial intersection with $\top$ if its weight didn't belong to the sequence, yielding a contradiction.
4. Dimension Calculation via Basis Equivalence (`finrank_weightSpace_eq_one_of_isIrreducible`): Finally, I construct a basis from the non-zero elements of the $f$-tower. To show the weight space is 1-dimensional, I use `Basis.equivFun` to compare coefficients algebraically. This avoids heavy manual indexing and index-shifting, proving that any vector in the weight space $\mu_0 - 2k$ is merely a scalar multiple of $f^k m$.
# Use of AI:
I used Gemini 3.1 Pro for tactics, theorems, improvement suggestions, and error explanations. I fully understand and can vouch for all the modifications I have made to the file.
# Limitations:
I only managed to formalize the finite-dimensional version, although the theorem also holds in the infinite-dimensional case. In the infinite case the existence of a primitive vector is not guaranteed. A quick search suggests that we might need heavy tools like Casimir operators and the universal enveloping algebra, which are totally beyond my current level. I am looking into it, but since there is a significant mathematical gap, I thought it would be best to get this finite-dimensional version merged first. |
new-contributor
t-algebra
large-import
awaiting-author
merge-conflict
label:t-algebra$ |
336/0 |
Mathlib/Algebra/Lie/Sl2.lean |
1 |
11 |
['github-actions', 'mathlib-bors', 'mathlib-merge-conflicts', 'ocfnash', 'pion2024'] |
ocfnash assignee:ocfnash |
20-80332 20 days ago |
67-60969 67 days ago |
2-57577 2 days |
| 36832 |
KryptosAI author:KryptosAI |
chore(Data/Finset/Card): rename `pred_card_le_card_erase` to `sub_one_card_le_card_erase` |
## Summary
The name `pred_card_le_card_erase` suggests `Nat.pred` but the statement uses `- 1` (i.e., `Nat.sub 1`). Rename to `sub_one_card_le_card_erase` to match the actual statement.
A deprecated alias is added for backwards compatibility.
### Files changed
- `Mathlib/Data/Finset/Card.lean` — definition renamed + deprecated alias
- `Mathlib/Data/Finset/Powerset.lean` — reference updated
- `Mathlib/Combinatorics/Additive/SubsetSum.lean` — reference updated
- `Mathlib/Algebra/Polynomial/EraseLead.lean` — reference updated
Addresses the `Finset.pred_card_le_card_erase` item in #21584.
## AI disclosure
I used Claude Code to explore the codebase (finding all references to rename) and to draft the PR description. I reviewed and understand all changes — these are straightforward renames with a deprecated alias. |
new-contributor
awaiting-author
|
22/15 |
Mathlib/Algebra/Polynomial/EraseLead.lean,Mathlib/Combinatorics/Additive/SubsetSum.lean,Mathlib/Combinatorics/SetFamily/AhlswedeZhang.lean,Mathlib/Combinatorics/SetFamily/Shadow.lean,Mathlib/Data/Finset/Card.lean,Mathlib/Data/Finset/Powerset.lean,Mathlib/Data/Set/Card.lean,Mathlib/GroupTheory/Perm/Support.lean,Mathlib/RingTheory/Ideal/Operations.lean |
9 |
8 |
['KryptosAI', 'Multramate', 'dagurtomas', 'github-actions', 'mattrobball', 'ooovi'] |
nobody |
20-72776 20 days ago |
20-72776 20 days ago |
59-48094 59 days |
| 39216 |
emlis42 author:emlis42 |
feat(Topology/Algebra/InfiniteSum): add `limUnder_eq_tprod` |
This PR adds `limUnder_eq_tprod` and `limUnder_eq_tsum`. |
t-topology
new-contributor
|
10/0 |
Mathlib/Topology/Algebra/InfiniteSum/Defs.lean |
1 |
6 |
['SnirBroshi', 'emlis42', 'github-actions', 'grunweg', 'mathlib-bors'] |
urkud assignee:urkud |
20-60559 20 days ago |
20-60561 20 days ago |
6-79087 6 days |
| 32555 |
ksenono author:ksenono |
feat(Combinatorics/SimpleGraph/Matching): maximum and maximal matchings for Konig's theorem |
---
<!-- Your PR title will become the first line of the commit message.
definitions and existence of maximum/maximal matchings in simple graphs.
-->
[](https://gitpod.io/from-referrer/)
|
t-combinatorics
new-contributor
awaiting-author
|
112/0 |
Mathlib/Combinatorics/SimpleGraph/DegreeSum.lean,Mathlib/Combinatorics/SimpleGraph/Matching.lean |
2 |
46 |
['SnirBroshi', 'SproutSeeds', 'YaelDillies', 'b-mehta', 'github-actions', 'jcommelin', 'ksenono'] |
YaelDillies assignee:YaelDillies |
20-59998 20 days ago |
20-74157 20 days ago |
130-57925 130 days |
| 39269 |
godofecht author:godofecht |
feat(Algebra/Spectrum): add the second resolvent identity |
Adds `spectrum.resolvent_sub_resolvent`:
For `a b : A` in an `R`-algebra and `r` in the resolvent set of both,
`resolvent a r - resolvent b r = resolvent a r * (a - b) * resolvent b r`.
Companion to `spectrum.resolvent_eq`. |
t-algebra
new-contributor
label:t-algebra$ |
15/0 |
Mathlib/Algebra/Algebra/Spectrum/Basic.lean |
1 |
3 |
['github-actions', 'wwylele'] |
nobody |
20-58550 20 days ago |
26-46715 26 days ago |
26-46476 26 days |
| 37584 |
kennethgoodman author:kennethgoodman |
feat(Data/Nat/Fib): formalize Lamé's theorem |
## Summary
Formalize [Lamé's theorem](https://en.wikipedia.org/wiki/Lam%C3%A9%27s_theorem) (1844), the founding result of computational complexity theory.
**Lamé's Theorem:** If the Euclidean algorithm on inputs `(a, b)` with `b ≤ a` takes `n + 1` division steps, then `b ≥ fib(n + 1)` and `a ≥ fib(n + 2)`.
### New definitions
- `Nat.euclidSteps`: counts the number of division steps in the Euclidean algorithm on natural number inputs.
### New theorems
- `Nat.fib_le_of_euclidSteps`: the main Lamé bound — Fibonacci lower bound on inputs given a step count.
- `Nat.euclidSteps_le_of_lt_fib`: the contrapositive — step count upper bound given a Fibonacci bound on the smaller input.
- `Nat.add_mod_le`: helper lemma that `b + a % b ≤ a` when `b ≤ a` and `0 < b`.
### Proof strategy
Induction on `n`, tracking both elements of the pair. The key insight is that each Euclidean step replaces `(a, b)` with `(b, a % b)`, and since `a ≥ b + a % b` (because `a / b ≥ 1`), the Fibonacci recurrence `fib(n+3) = fib(n+2) + fib(n+1)` matches the structure of the algorithm.
### References
- Gabriel Lamé, *Note sur la limite du nombre des divisions dans la recherche du plus grand commun diviseur entre deux nombres entiers*, Comptes rendus de l'Académie des sciences, 1844.
---
### AI usage disclosure
Per the [Mathlib AI guidelines](https://leanprover-community.github.io/contribute/index.html#use-of-ai): Claude Code (Claude Opus 4.6) was used to assist with writing the Lean 4 proof code, fixing tactic errors, and drafting this PR description. The mathematical proof (induction on step count, tracking both pair elements through the Fibonacci recurrence) was designed by hand and verified on paper before formalization. I have reviewed and understand every line of the resulting Lean code and can explain all proof steps.
---
- [x] builds cleanly (`lake build Mathlib.Data.Nat.Fib.Lame`)
- [x] no `sorry`
- [x] lines ≤ 100 characters, no trailing whitespace
- [x] `autoImplicit false`
- [x] docstrings on all public declarations |
new-contributor
LLM-generated
t-data
merge-conflict
|
121/0 |
Mathlib.lean,Mathlib/Data/Nat/Basic.lean,Mathlib/Data/Nat/Fib/Basic.lean,Mathlib/Data/Nat/Fib/Lame.lean,docs/1000.yaml |
5 |
25 |
['euprunin', 'github-actions', 'kennethgoodman', 'mathlib-merge-conflicts', 'vihdzp', 'wwylele'] |
TwoFX assignee:TwoFX |
20-46870 20 days ago |
20-46871 20 days ago |
44-66371 44 days |
| 29744 |
espottesmith author:espottesmith |
feat(Combinatorics): define directed hypergraphs |
This PR defines directed hypergraphs:
```
@[ext]
structure DiHypergraph (α : Type*) where
/-- The vertex set -/
vertexSet : Set α
/-- The edge set -/
edgeSet : Set ((Set α) × (Set α))
/-- Each edge is a pair (s, d), where s ⊆ vertexSet and d ⊆ vertexSet -/
edge_src_dst_isSubset_vertexSet' : ∀ ⦃e⦄, e ∈ edgeSet → e.1 ⊆ vertexSet ∧ e.2 ⊆ vertexSet
```
Additional definitions:
- tail/head stars and negative/positive stars
- some special cases (B-Graph, F-Graph, BF-Graph, and what I'm calling a "non-endless" dihypergraph, where neither the source/tail nor the destination/head are empty)
- Vertex and (hyper)edge adjacency
- isolated vertices
- empty and nonempty dihypergraphs
The design employed here is based off of #28613, but this PR does not depend on that one.
---
<!-- The text above the `---` will become the commit message when your
PR is merged. Please leave a blank newline before the `---`, otherwise
GitHub will format the text above it as a title.
For details on the "pull request lifecycle" in mathlib, please see:
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In particular, note that most reviewers will only notice your PR
if it passes the continuous integration checks.
Please ask for help on https://leanprover.zulipchat.com if needed.
To indicate co-authors, include at least one commit authored by each
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|
t-combinatorics
new-contributor
|
398/0 |
Mathlib.lean,Mathlib/Combinatorics/DiHypergraph/Basic.lean |
2 |
4 |
['b-mehta', 'espottesmith', 'github-actions', 'mathlib4-merge-conflict-bot'] |
nobody |
20-27960 20 days ago |
65-83745 65 days ago |
123-66973 123 days |
| 36274 |
JTylM author:JTylM |
feat(Combinatorics/SimpleGraph/Matching): implemented the matchingNumber of a graph |
---
- [ ] depends on: #36406
- [ ] depends on: #32555
I implemented the matchingNumber as described in the issue and proved some statements including
showing that there exists a matching achieving the matchingNumber.
matchingNumber is increasing under injective maps
matchingNumber is equal under isomorphisms
matchingNumber of a matching is the cardinality of the matching
This is my first PR and i had some trouble with some of the proofs, especially with the proof for matchingNumber.isAttained. So any suggestions on how to make the proofs shorter would be welcome. Also i was not sure about the naming of some of the theorems so i would apprechiate feedback here as well.
|
new-contributor
t-combinatorics
blocked-by-other-PR
merge-conflict
|
292/2 |
Mathlib/Combinatorics/SimpleGraph/Matching.lean |
1 |
40 |
['JTylM', 'SnirBroshi', 'SproutSeeds', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'vlad902'] |
nobody |
20-26720 20 days ago |
80-66787 80 days ago |
9-69432 9 days |
| 39569 |
AlexBrodbelt author:AlexBrodbelt |
feat(Mathlib/Data/Finite/Units): Units are (in)finite if type is (in)finite |
Shows
- [ ] depends on: #39568
- [ ] depends on: #39567
---
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|
blocked-by-other-PR
t-data
new-contributor
|
75/0 |
Mathlib.lean,Mathlib/Data/Finite/Option.lean,Mathlib/Data/Finite/Subtype.lean,Mathlib/Data/Finite/Units.lean |
4 |
3 |
['github-actions', 'mathlib-dependent-issues'] |
nobody |
19-74280 19 days ago |
19-80165 19 days ago |
0-121 2 minutes |
| 39568 |
AlexBrodbelt author:AlexBrodbelt |
feat(Mathlib/Data/Finite/Subtype): Subtype of elements not equal to a term is finite iff type is finite |
Subtype of terms not equal to a term is finite iff type is finite.
This is an intermediate result to prove that if a `GroupWithZero` is (in)finite then the `Units` are (in)finite.
- [ ] depends on: #39567 [shows option type is finite iff type is finite]
---
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|
t-data
new-contributor
blocked-by-other-PR
|
45/0 |
Mathlib.lean,Mathlib/Data/Finite/Option.lean,Mathlib/Data/Finite/Subtype.lean |
3 |
5 |
['AlexBrodbelt', 'github-actions', 'mathlib-dependent-issues', 'themathqueen'] |
nobody |
19-63916 19 days ago |
19-79506 19 days ago |
0-2171 36 minutes |
| 33786 |
hdmkindom author:hdmkindom |
feat(Analysis/Matrix): add Jacobian matrix for matrix-valued functions |
This PR introduces the Jacobian matrix for matrix-valued functions `F : Matrix m n 𝕜 → Matrix p q 𝕜`.
The Jacobian matrix `jacobianMatrix F X` at point `X` is indexed by `(p × q) × (m × n)`, where each entry represents the partial derivative with respect to a basis element. To handle instance-mismatch issues with matrix norms, we use local Frobenius norm instances.
This PR adds the new file:
'Analysis/Matrix/Jacobian.lean'
## Main definitions
- `jacobianMatrix F X`: The Jacobian matrix at point `X`, defined by `jacobianMatrix F X (i, k) (j, l) = (fderiv ℝ F X (Matrix.single j l 1)) i k`
## Main theorems
- `fderiv_eq_jacobian_mul`: Express the Fréchet derivative as a contraction with the Jacobian
- `jacobianMatrix_comp`: Chain rule for Jacobian matrices
- `jacobianMatrix_linear`, `jacobianMatrix_id`, `jacobianMatrix_const`: Basic properties
- `jacobianMatrix_add`, `jacobianMatrix_smul`: Linearity properties
|
t-analysis
new-contributor
awaiting-author
|
174/0 |
Mathlib.lean,Mathlib/Analysis/Matrix/Jacobian.lean |
2 |
21 |
['erdOne', 'github-actions', 'hdmkindom', 'jcommelin'] |
sgouezel assignee:sgouezel |
19-56718 19 days ago |
110-63160 110 days ago |
39-35999 39 days |
| 34713 |
dennj author:dennj |
feat(Probability/Markov): stationary distributions for stochastic matrices |
This PR proves that every row-stochastic matrix on a finite nonempty
state space has a stationary distribution in the standard simplex.
Main additions to `Mathlib/Probability/Markov/Stationary.lean`:
- `IsStationary`: A distribution μ is stationary for matrix P if μ ᵥ* P = μ
- `cesaroAverage`: Cesàro average of iterates of a vector under a matrix
- `Matrix.rowStochastic.exists_stationary_distribution`: existence theorem
The proof uses Cesàro averaging: start with uniform distribution, form
averages, extract convergent subsequence by compactness, show limit is
stationary via L¹ non-expansiveness.
Also adds `vecMul_mem_stdSimplex` to `Stochastic.lean`: multiplying a
probability vector by a row-stochastic matrix preserves simplex membership.
This is human-made PR with AI help in golfing proof and documenting the code. |
new-contributor
t-measure-probability
|
166/0 |
Mathlib.lean,Mathlib/LinearAlgebra/Matrix/Stochastic.lean,Mathlib/Probability/Markov/Stationary.lean |
3 |
17 |
['EtienneC30', 'dennj', 'dupuisf', 'github-actions', 'grunweg', 'j-loreaux', 'mathlib-merge-conflicts', 'riccardobrasca'] |
kex-y assignee:kex-y |
19-26425 19 days ago |
42-34879 42 days ago |
52-67653 52 days |
| 34703 |
martinwintermath author:martinwintermath |
Generalizing orthogonalBilin |
---
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|
new-contributor
merge-conflict
|
51/25 |
Mathlib/Analysis/InnerProductSpace/Orthogonal.lean,Mathlib/LinearAlgebra/QuadraticForm/Basic.lean,Mathlib/LinearAlgebra/SesquilinearForm/Basic.lean |
3 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
19-22876 19 days ago |
unknown |
0-0 0 seconds |
| 39605 |
Qinghev author:Qinghev |
Add docstrings for reversed range telescoping lemmas |
This PR adds docstrings for two existing Finset telescoping lemmas and their additive versions generated by `to_additive`:
* `Finset.prod_range_div'` / `Finset.sum_range_sub'`
* `Finset.eq_prod_range_div` / `Finset.eq_sum_range_sub`
The goal is a small documentation-only contribution that makes the reversed range telescoping API easier to discover from search and hover docs.
Local checks:
* `git diff --check -- Mathlib/Algebra/BigOperators/Group/Finset/Basic.lean`
* Attempted `lake env lean Mathlib/Algebra/BigOperators/Group/Finset/Basic.lean`, but local validation is currently blocked by downloading the `leanprover/lean4:v4.30.0-rc2` toolchain from GitHub timing out/connection-resetting on this machine.
Opened as draft until the toolchain/network check can be completed or CI confirms the documentation-only change.
|
t-algebra
new-contributor
label:t-algebra$ |
8/2 |
Mathlib/Algebra/BigOperators/Group/Finset/Basic.lean |
1 |
2 |
['github-actions'] |
nobody |
18-75914 18 days ago |
18-75914 18 days ago |
18-75675 18 days |
| 39225 |
junodeveloper author:junodeveloper |
feat(SimpleGraph): add no-bridge theorem for even degree graphs |
This PR proves that a finite graph in which every vertex has even degree has no bridge.
It adds:
* `SimpleGraph.not_isBridge_of_even_degree`
The proof argues by contradiction: if an edge is a bridge, delete it and look at the connected component containing one endpoint. In that component, the endpoint has odd degree, while any other odd-degree vertex would contradict the bridge assumption and the even-degree hypothesis. This contradicts the handshaking lemma via the existing odd-degree API.
Local checks:
```bash
lake build Mathlib.Combinatorics.SimpleGraph.Connectivity.EdgeConnectivity
lake exe lint-style Mathlib.Combinatorics.SimpleGraph.Connectivity.EdgeConnectivity
lake exe runLinter Mathlib.Combinatorics.SimpleGraph.Connectivity.EdgeConnectivity
```
## AI usage disclosure
I used OpenClaw/Codex while developing this PR. Much of the Lean proof of `not_isBridge_of_even_degree` was drafted with AI assistance, including API search and proof refactoring. I reviewed the generated code, made edits, ran the local checks above, and understand and take responsibility for the final statement and proof. |
t-combinatorics
new-contributor
large-import
LLM-generated
|
122/0 |
Mathlib/Combinatorics/SimpleGraph/Connectivity/EdgeConnectivity.lean |
1 |
12 |
['Rida-Hamadani', 'SnirBroshi', 'github-actions', 'junodeveloper', 'linesthatinterlace'] |
nobody |
18-67179 18 days ago |
27-36754 27 days ago |
27-36515 27 days |
| 39607 |
TentativeConvert author:TentativeConvert |
feat(Algebra/DirectSum): equivalence between direct sum indexed by ι₁ and double sum indexed by ι₂ and fibres of f : ι₁ → ι₂ |
1. Add variant `equivCongrLeft'` of `equivCongrLeft`, and corresponding `…_apply` lemma.
2. Add `…_of lemmas` for both `equivCongrLeft` and `equivCongrLeft'`.
3. Add `…of lemma` for `sigmaCurry`, i.e. `sigmaCurry_of`.
4. Add `sigmaFiberAddEquiv`: the equivalence between a direct sum indexed by a type `ι₁` and the double sum indexed by a type `ι₂` and the fibres of a map `f : ι₁ → ι₂`. Add two `…_apply` lemmas and an `…_of` lemma.
---
This is supposed to be a first step towards merging the draft PR #39356.
re 1: Mathematically, I don't see why one version should be preferred over the other, but I found the existing `equivCongrLeft` more difficult to work with when the equivalence `h : ι ≃ κ` is naturally given in the opposite direction. (I could not avoid explicit type casts through the equality `h.symm.symm = h` when defining `sigmaFiberAddEquiv` in terms of `equivCongrLeft`.)
Very unsure about the name of `equivCongrLeft'`. (I see that the name `equivCongrLeft` was chosen in analogy with `Equiv.piCongrLeft`. `Equiv.piCongrRight` looks very different, so presumably `equivCongrLeft'` should *not* be called `equivCongrRight`.)
re 4: Very unsure about the naming of the two different `…_apply` lemmas; called them `…_apply` and `…_apply'` for now. The second (`…_apply'`) cannot be a `simp` lemma as it would prevent the first (`…_apply`) from firing.
I've used Claude Opus for understanding error messages and git interaction, but everything is hand coded.
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|
t-algebra
new-contributor
label:t-algebra$ |
66/1 |
Mathlib/Algebra/DirectSum/Basic.lean |
1 |
3 |
['github-actions'] |
nobody |
18-66449 18 days ago |
18-79002 18 days ago |
18-80393 18 days |
| 33714 |
idontgetoutmuch author:idontgetoutmuch |
feat(Mathlib/Geometry/Manifold): Riemannian metrics exist II |
Supersedes https://github.com/leanprover-community/mathlib4/pull/33519
---
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|
t-differential-geometry
new-contributor
|
723/0 |
Mathlib.lean,Mathlib/Algebra/BigOperators/Finprod.lean,Mathlib/Geometry/Manifold/ExistsRiemannianMetric.lean,Mathlib/Geometry/Manifold/PartitionOfUnity.lean |
4 |
200 |
['Rida-Hamadani', 'github-actions', 'grunweg', 'idontgetoutmuch'] |
nobody |
18-27958 18 days ago |
49-67509 49 days ago |
94-74253 94 days |
| 39474 |
emlis42 author:emlis42 |
feat(Topology/Separation/Hausdorff): add `Filter.limUnder_congr` |
This PR adds `Filter.limUnder_congr` and some lemmas about `limUnder`.
`Filter.limUnder_congr` allows rewriting `limUnder` expressions using equivalences of convergence behavior, without proving the filters actually converge, allowing convergence proofs to be carried out on more convenient expressions latter. |
t-topology
new-contributor
large-import
|
24/1 |
Mathlib/Order/Filter/AtTopBot/Archimedean.lean,Mathlib/Topology/Separation/Hausdorff.lean |
2 |
2 |
['github-actions'] |
PatrickMassot assignee:PatrickMassot |
18-26370 18 days ago |
22-47800 22 days ago |
22-47561 22 days |
| 35504 |
JoaBjo author:JoaBjo |
feat(Probability/Distributions/Exponential): add MGF, moments, and memoryless property |
feat(Probability/Distributions/Exponential): add MGF, moments, and memoryless property
Add the main analytic results for the exponential distribution:
- moment-generating function `mgf id (expMeasure r) t = r / (r - t)` for `t < r`
- mean `∫ x, x ∂(expMeasure r) = r⁻¹`
- variance `Var[id; expMeasure r] = r⁻¹ ^ 2`
- `ℒp` membership for all `p`
- tail probability `P(X > x) = exp (-(r * x))`
- memoryless property `P(X > s + t | X > s) = P(X > t)`
The MGF is computed by reducing to the known improper integral `∫ exp(c * x)` on `Ioi`,
and integrability is deduced by contradiction from the positive closed-form value.
The mean and variance are computed via the Gamma function integral
`∫₀^∞ x^(n-1) exp(-r x) dx = Γ(n) / rⁿ`. The memoryless property follows from
the exponential identity `exp(-(r(s+t))) = exp(-rt) * exp(-rs)`.
---
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|
new-contributor
t-measure-probability
awaiting-author
|
200/0 |
Mathlib/Probability/Distributions/Exponential.lean |
1 |
7 |
['EtienneC30', 'JoaBjo', 'Timeroot', 'github-actions'] |
EtienneC30 assignee:EtienneC30 |
17-66214 17 days ago |
17-66215 17 days ago |
42-10925 42 days |
| 39192 |
jayscambler author:jayscambler |
feat(InnerProductSpace/PiL2): det of a linear isometry has unit norm |
Adds `LinearIsometryEquiv.norm_det` and the real corollary `LinearIsometryEquiv.abs_det`. The proof uses the unitary matrix of a linear isometry in orthonormal bases, via `LinearIsometryEquiv.toMatrix_mem_unitaryGroup` and `Matrix.det_of_mem_unitary`. The supporting matrix lemma is moved from `Adjoint.lean` to `PiL2.lean`, where it no longer depends on adjoints. |
t-analysis
new-contributor
LLM-generated
awaiting-author
|
36/10 |
Mathlib/Analysis/InnerProductSpace/Adjoint.lean,Mathlib/Analysis/InnerProductSpace/PiL2.lean |
2 |
8 |
['github-actions', 'grunweg', 'jayscambler', 'sgouezel', 'themathqueen', 'wwylele'] |
sgouezel assignee:sgouezel |
17-65691 17 days ago |
17-65691 17 days ago |
10-9493 10 days |
| 39586 |
thomaskwaring author:thomaskwaring |
feat: GraphLike typeclass |
A proposal for a typeclass representing `GraphLike` objects. This is axiomatised in terms of a relations `IsSource` and `IsTarget` between edges and vertices, as well as `IsLink` to represent walks of length one.
[](https://gitpod.io/from-referrer/)
|
t-combinatorics
new-contributor
|
539/0 |
Mathlib/Combinatorics/GraphLike/Basic.lean,Mathlib/Combinatorics/GraphLike/Walk.lean |
2 |
4 |
['SnirBroshi', 'eric-wieser', 'github-actions'] |
nobody |
17-63560 17 days ago |
unknown |
0-0 0 seconds |
| 36667 |
NoneMore author:NoneMore |
feat(ModelTheory): add `exClosure` definition for first-order formulas |
Prepare for moving realizations between elementarily equivalent structures.
---
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[](https://gitpod.io/from-referrer/)
|
new-contributor
t-logic
|
37/0 |
Mathlib/ModelTheory/Semantics.lean,Mathlib/ModelTheory/Syntax.lean |
2 |
2 |
['github-actions'] |
nobody |
17-27957 17 days ago |
85-12178 85 days ago |
85-11939 85 days |
| 39673 |
drocta author:drocta |
feat: add instances of MetricSpace, NormedAddGroup, and NormedAddCommGroup for DirectLimit |
add files `Topology/MetricSpace/DirectLimit.lean` (with an instance of `MetricSpace` for a `DirectLimit` of a directed system of `MetricSpace`s with `IsometryClass` map types between them) and `Analysis/Normed/Group/DirectLimit.lean` (with instances of `NormedAddGroup` and `NormedAddCommGroup` on `DirectLimit`)
also lemmas `dist_def` and `norm_def` for these.
---
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This PR is part of a project of adding support for direct limits of $C^*$-algebras (as I described [on Zulip](https://leanprover.zulipchat.com/#narrow/channel/113489-new-members/topic/Early.20feedback.20on.20approach.20towards.20formalizing.20UHF.20algebras.3F) ).
This PR uses `IsometryClass` to implement the requirement that the directed systems preserve the `Norm` on the `NormedAddGroup`s, following the advice I got [this Zulip thread](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Representing.20norm-preservation.20for.20directed.20systems.3F/with/595941824) .
Use of AI:
I again used ChatGPT a bit for some advice when writing this (for example, for ideas for simplifying parts of proofs that I suspected could be simpler/shorter, and for advice on which of a couple options would be more idiomatic).
I can personally vouch for all of these contributions, and that I understand this code.
|
t-topology
new-contributor
awaiting-author
|
258/0 |
Mathlib.lean,Mathlib/Analysis/Normed/Group/DirectLimit.lean,Mathlib/Analysis/Normed/Ring/DirectLimit.lean,Mathlib/Topology/MetricSpace/DirectLimit.lean |
4 |
23 |
['drocta', 'eric-wieser', 'github-actions', 'j-loreaux'] |
nobody |
17-10789 17 days ago |
17-24259 17 days ago |
0-14741 4 hours |
| 39356 |
TentativeConvert author:TentativeConvert |
pushforward of gradings along map between indexing sets |
Pushforward of grading along map between indexing sets
The main result of #36501 is that the quotient of a graded algebra by a homogeneous relation inherits a grading.
This draft complements #36501 with the result that the grading on a graded algebra can be changed by "pushing forward" along an additive map of additive monoids. For example, an ℕ-grading can be turned into a ℤ-grading by pushing forward along the inclusion ℕ → ℤ, or collapsed to an even/odd-grading by pushing forward along the projection ℤ → ZMod 2. This result is currently in [`RingTheory/GradedAlgebra/Map/DecompositionMap_SetLike.lean`](https://github.com/TentativeConvert/mathlib4/blob/f4e54e0ec25f44c5d373e355e9926481e3102ccd/Mathlib/RingTheory/GradedAlgebra/Map/DecompositionMap_SetLike.lean).
The changes to [`Mathlib/LinearAlgebra/CliffordAlgebra/Grading.lean`](https://github.com/TentativeConvert/mathlib4/blob/f4e54e0ec25f44c5d373e355e9926481e3102ccd/Mathlib/LinearAlgebra/CliffordAlgebra/Grading.lean) illustrate how the two results can be combined to give a new construction of the grading on the Clifford algebra: First, the grading on the tensor algebra is collapsed to an even/odd grading. With respect to this grading, the Clifford relation is homogeneous. The Clifford algebra is the quotient of the tensor algebra by the Clifford relation, so we obtain an induced grading on the Clifford algebra.
Notes: This draft includes all of #36501, as this is necessary to demonstrate the application to Clifford algebras. Most of the changes shown below are from that PR. (I don't know how to include that PR and highlight only the changes made on top of it here.)
---
- [ ] depends on: #36501
[](https://gitpod.io/from-referrer/)
|
t-algebraic-geometry
new-contributor
blocked-by-other-PR
merge-conflict
|
1303/46 |
Mathlib.lean,Mathlib/Algebra/BigOperators/Group/Finset/Basic.lean,Mathlib/Algebra/DirectSum/Decomposition.lean,Mathlib/AlgebraicGeometry/ProjectiveSpectrum/Basic.lean,Mathlib/AlgebraicGeometry/ProjectiveSpectrum/Scheme.lean,Mathlib/Data/DFinsupp/BigOperators.lean,Mathlib/LinearAlgebra/CliffordAlgebra/Conjugation.lean,Mathlib/LinearAlgebra/CliffordAlgebra/EvenEquiv.lean,Mathlib/LinearAlgebra/CliffordAlgebra/Grading.lean,Mathlib/LinearAlgebra/CliffordAlgebra/Prod.lean,Mathlib/LinearAlgebra/TensorAlgebra/Grading.lean,Mathlib/RingTheory/GradedAlgebra/Basic.lean,Mathlib/RingTheory/GradedAlgebra/Homogeneous/Ideal.lean,Mathlib/RingTheory/GradedAlgebra/Homogeneous/RingQuot.lean,Mathlib/RingTheory/GradedAlgebra/HomogeneousLocalization.lean,Mathlib/RingTheory/GradedAlgebra/Map/AddSubmonoidSSup.lean,Mathlib/RingTheory/GradedAlgebra/Map/DecompositionMap_SetLike.lean,Mathlib/RingTheory/GradedAlgebra/Map/Tests.lean,Mathlib/RingTheory/GradedAlgebra/Map/auxiliary.lean,Mathlib/RingTheory/GradedAlgebra/Map/locations.md,Mathlib/RingTheory/GradedAlgebra/Map/order-preserving-maps.md,Mathlib/RingTheory/Ideal/Span.lean |
22 |
4 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
17-2050 17 days ago |
unknown |
0-0 0 seconds |
| 39687 |
TentativeConvert author:TentativeConvert |
feat(Algebra/Group/Submonoid): type class to indicate that supremum in a SubmonoidClass agrees with supremum of submonoids |
Add a type class `SubmonoidClass.IsConcreteSSup` to indicate that the canonical map `.ofClass` from a class `S` of submonoids of `M` to `Submonoid M` preserves suprema.
---
This PR implements the minimal type class assumption needed to make „pushfoward of gradings along maps of indexing sets“ – see draft PR #39356 – work in some `SetLike` generality.
Given `{S M : Type*} [SetLike S M] [Monoid M] [SubmonoidClass S M]`, we have canonical maps
```
S → Submonoid M → Set M
```
The first is `Submonoid.ofClass`, the second and the composition are `coe` maps coming from the `SetLike` structures. Depending on `S`, these maps may or may not satisfy various properties with respect the lattice structures on `Submonoid M` and `Set M`. Mathlib so far includes the type class `[IsConcreteLE S M]`, which asserts that the composition `S → Set M` is order-preserving and order-reflecting. The type class defined here asserts that the first map, `S → Submonoid M`, preserves suprema.
In examples such as `S = Subgroup M`, `S = Submodule R M`, much more is true – in these cases, `S` is a complete sublattice of `Submonoid M`. But there are also examples where only the weaker property defined here holds, e.g. `S = OpenSubgroup M` for a topological group `M`.
Note on `outParam`: I did *not* write `(M : outParam Type*)` in the assumptions of `SubmonoidClass.IsConcreteSSup` in accordance with the [DocString of `Setlike`](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Data/SetLike/Basic.html#SetLike). However, we do have `(B : outParam Type*)` in the definition of `IsConcreteLE`, so perhaps I'm misinterpreting the DocString.
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[](https://gitpod.io/from-referrer/)
|
new-contributor
t-algebra
label:t-algebra$ |
56/0 |
Mathlib.lean,Mathlib/Algebra/Group/Submonoid/SSup.lean |
2 |
2 |
['github-actions'] |
nobody |
16-82751 16 days ago |
16-82820 16 days ago |
16-83181 16 days |
| 39589 |
ScottWe author:ScottWe |
feat: simple lemmas about Hermitian matrices |
This pull request establishes some simple proofs about Hermitian algebras. In particular:
- Unitary Hermitian matrices are self-inverse;
- Hermitian matrices are in correspondence with skew-adjoint matrices. |
new-contributor
awaiting-author
t-algebra
t-analysis
label:t-algebra$ |
72/0 |
Mathlib.lean,Mathlib/Analysis/Matrix/SkewAdjoint.lean,Mathlib/LinearAlgebra/Matrix/Hermitian.lean,Mathlib/LinearAlgebra/Matrix/Unitary.lean |
4 |
13 |
['ScottWe', 'SnirBroshi', 'github-actions', 'j-loreaux', 'themathqueen'] |
nobody |
16-65774 16 days ago |
19-41056 19 days ago |
0-7869 2 hours |
| 39697 |
sorrachai author:sorrachai |
feat(Data/Tree/Basic): add Membership instance, new notation, rename Tree |
Summary:
1. [Rename]([#CSLib > Splay tree PR: BinaryTree vs Tree @ 💬](https://leanprover.zulipchat.com/#narrow/channel/513188-CSLib/topic/Splay.20tree.20PR.3A.20BinaryTree.20vs.20Tree/near/596482765)) from Tree to BinaryTree, which propagates the changes to other files that use it.
2. Add membership instance, prove decidability of membership.
3. Add toListInOrder, toListPreOrder, toListPostOrder
Suggestion based on the discussion in the cslib [thread](https://leanprover.zulipchat.com/#narrow/channel/513188-CSLib/topic/Splay.20tree.20PR/near/596568391)[#CSLib > Splay tree PR @ 💬](https://leanprover.zulipchat.com/#narrow/channel/513188-CSLib/topic/Splay.20tree.20PR/near/596568391).
---
* depends on: #39707 |
new-contributor |
187/75 |
Mathlib/Combinatorics/Enumerative/Catalan/Tree.lean,Mathlib/Combinatorics/Enumerative/DyckWord.lean,Mathlib/Data/Tree/Basic.lean,Mathlib/Data/Tree/Get.lean,Mathlib/Data/Tree/Traversable.lean,Mathlib/Tactic/CancelDenoms/Core.lean,docs/overview.yaml |
7 |
4 |
['eric-wieser', 'github-actions', 'sorrachai'] |
nobody |
16-36083 16 days ago |
16-67643 16 days ago |
16-69459 16 days |
| 35069 |
A-M-Berns author:A-M-Berns |
feat(Geometry/Polygon): simple polygons and boundary map |
This PR introduces Simple polygons with the predicate `IsSimple`, which captures the idea of a non-self-intersecting boundary, in the file Simple.lean. In the file Boundary.lean, a boundary map from `AddCircle n` is defined. I prove that the range of this map is the boundary and that this map is injective if and only if the polygon is simple. I kept Boundary.lean and Simple.lean separate because future results will include stuff just about the boundary map independent of simplicity (e.g. that it is continuous in the appropriate setting) and stuff just about simple polygons independent of the boundary map (e.g. that for n = 3, IsSimple iff HasNondegenerateVertices.) I used Claude Code to help generate some of the proof material, but I golfed and edited all AI contribution.
- [x] depends on: #34598
---
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new-contributor
t-euclidean-geometry
LLM-generated
|
360/0 |
Mathlib.lean,Mathlib/Geometry/Polygon/Boundary.lean,Mathlib/Geometry/Polygon/Simple.lean,Mathlib/Logic/Equiv/Fin/Rotate.lean |
4 |
30 |
['A-M-Berns', 'eric-wieser', 'github-actions', 'joneugster', 'jsm28', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'vihdzp', 'wwylele'] |
nobody |
16-27960 16 days ago |
102-53815 102 days ago |
105-1462 105 days |
| 35402 |
samueloettl author:samueloettl |
feat(Dynamics/BirkhoffSum): birkhoffAverage const |
---
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I think this is useful and one of these should be a simp lemma.
I'm not really sure if I got the naming of the theorems correct.
When generalizing to the assumption (n : R) ≠ 0 instead of the special case CharZero R with n ≠ 0 I had to use "open Classical in". I'm a bit unfamiliar with that part so please check if this makes sense. See also https://github.com/leanprover-community/mathlib4/pull/35307#discussion_r2823586252
[](https://gitpod.io/from-referrer/)
|
t-dynamics
new-contributor
|
14/0 |
Mathlib/Dynamics/BirkhoffSum/Average.lean |
1 |
26 |
['Maldooor', 'github-actions', 'lua-vr', 'mcdoll', 'samueloettl'] |
sgouezel assignee:sgouezel |
16-26786 16 days ago |
39-67309 39 days ago |
105-65883 105 days |
| 39518 |
abeldonate author:abeldonate |
feat(RingTheory/LocalProperties/Projective): Projective Module theorem |
Theorem: R Noetherian, M finitely generated R-Mod. Then:
M projective iff M_m free for all m maximal
|
t-ring-theory
new-contributor
large-import
|
21/0 |
Mathlib/RingTheory/LocalProperties/Projective.lean |
1 |
9 |
['abeldonate', 'github-actions', 'mbkybky', 'vlad902'] |
nobody |
16-2475 16 days ago |
19-66494 19 days ago |
20-22110 20 days |
| 39734 |
allenhaozhu author:allenhaozhu |
feat(Analysis/CStarAlgebra/CStarMatrix): operator-monotone rpow/log/sqrt specializations |
Adds three discoverability lemmas for operator-monotonicity on `CStarMatrix n n A`, specializing the existing C\*-algebra-level results from `CFC.monotone_rpow` / `CFC.log_monotoneOn` / `CFC.monotone_sqrt`:
```
CStarMatrix.monotone_rpow {p : ℝ} (hp : p ∈ Set.Icc 0 1) :
Monotone (fun M : CStarMatrix n n A => M ^ p)
CStarMatrix.log_monotoneOn :
MonotoneOn (CFC.log : CStarMatrix n n A → CStarMatrix n n A)
{M | IsStrictlyPositive M}
CStarMatrix.monotone_sqrt :
Monotone (CFC.sqrt : CStarMatrix n n A → CStarMatrix n n A)
```
In the course of implementing these specializations, three shortcut instances are also registered to bypass a typeclass-diamond issue. `CStarMatrix n n A` derives `CStarAlgebra` from the underlying `CStarAlgebra A`, but the typeclass search for `ContinuousFunctionalCalculus ℝ (CStarMatrix n n A) IsSelfAdjoint` does not find the path through the `Matrix` diamond automatically. Explicit shortcut instances enable ergonomic use of `CFC.rpow`, `CFC.log`, etc.:
```
instance instContinuousFunctionalCalculusRealIsSelfAdjoint
instance instNonUnitalContinuousFunctionalCalculusRealIsSelfAdjoint
instance instNonnegSpectrumClassReal
```
**Reviewer note:** I am NOT attached to this PR — if reviewers prefer that downstream users call `CFC.monotone_rpow` directly and accept the typeclass-search cost, please close. The PR is offered as a convenience on the assumption that matrix-shaped users may search the matrix namespace first and benefit from the diamond shortcut. The shortcut instances may also belong in a separate PR if reviewers prefer.
Extracted from LTFP-Lean (mechanical formalization of Bach's *Learning Theory from First Principles*), where matrix-side ergonomics matter for downstream proofs.
---
## AI-assistance disclosure
Per the Mathlib [AI-use policy](https://leanprover-community.github.io/contribute/index.html#use-of-ai):
- **Tool.** Claude Code (Anthropic) with the Claude Opus 4.7 model.
- **Use.** I specified the three target specialization lemmas. The assistant placed them in the right file, discovered the typeclass-diamond issue while implementing (adding 3 shortcut instances to resolve it), drafted the proofs, and verified the build under `lake build Mathlib.Analysis.CStarAlgebra.CStarMatrix.OperatorMonotone`. I reviewed the final code.
- **Vouching.** I have read the declarations and can defend the proofs without further AI assistance. I welcome reviewer feedback on:
- whether the three specialization lemmas justify their own file or should be merged into `CStarMatrix.lean`
- whether the typeclass-diamond shortcut instances belong in this PR or a separate one
- whether the convenience-layer is justified at all vs. having downstream users call `CFC.*` directly |
t-analysis
new-contributor
LLM-generated
|
101/0 |
Mathlib.lean,Mathlib/Analysis/CStarAlgebra/CStarMatrix/OperatorMonotone.lean |
2 |
2 |
['github-actions'] |
nobody |
16-2275 16 days ago |
unknown |
0-0 0 seconds |
| 39733 |
allenhaozhu author:allenhaozhu |
feat(LinearAlgebra/Matrix): nonsingular inverse commutes with any monoid hom of matrix rings |
Adds `Matrix.map_nonsing_inv`: for any `MonoidHomClass` morphism `f : Matrix n n R →* Matrix n n S` between matrix rings over commutative rings, and any `A : Matrix n n R` with `IsUnit A.det`,
```
(f A)⁻¹ = f A⁻¹
```
The proof is short: `Matrix.inv_eq_right_inv` plus the fact that `f` preserves `*` and `1`:
```lean
theorem map_nonsing_inv (f : F) {A : Matrix n n R} (hA : IsUnit A.det) :
(f A)⁻¹ = f A⁻¹ := by
apply Matrix.inv_eq_right_inv
rw [← map_mul, Matrix.mul_nonsing_inv A hA, map_one]
```
Since `RingHom`, `RingEquiv`, `AlgHom`, `AlgEquiv`, and `StarAlgEquiv` between matrix rings all provide `MonoidHomClass` instances, the lemma applies uniformly to all of them — in particular to `Unitary.conjStarAlgAut`-style conjugations by a unitary matrix, which is the original motivating use case.
This came up in a downstream project (mechanical formalization of Bach's *Learning Theory from First Principles*), where it underpins a spectral-identity proof: `(U * X * star U)⁻¹ = U * X⁻¹ * star U` for unitary `U` and invertible `X`. Rather than special-case the unitary-conjugation version, I generalized to any `MonoidHomClass` since the proof works mechanically.
### Why not just `map_inv`?
The generic `map_inv` discharges `⁻¹` through a `MonoidHom` between groups, but `Matrix n n R` is not a group under multiplication — `⁻¹` here is `Matrix.nonsing_inv` (adjugate / det), which is only a two-sided inverse on the submonoid of nonsingular matrices. So `map_inv` doesn't apply directly; we need the `IsUnit A.det` hypothesis and a custom proof routed through `Matrix.inv_eq_right_inv`.
### Tests
- `lake build Mathlib.LinearAlgebra.Matrix.NonsingularInverse` — green
- `lake build Mathlib.Analysis.Matrix.Spectrum Mathlib.LinearAlgebra.Matrix.GeneralLinearGroup.Defs` — green (downstream smoke check, no regressions)
- Verified usability against both `RingEquiv` and `StarAlgEquiv` instances via local smoke tests
### Notes on AI assistance
Per the Mathlib [AI-use policy](https://leanprover-community.github.io/contribute/index.html#use-of-ai):
- **Tool.** Claude Code (Anthropic), Claude Opus 4.7 model.
- **Use.** I specified the target statement (originally `ℝ`-specific to a unitary conjugation) and the scope of generalization. The assistant drafted the more general `MonoidHomClass` version, chose the file home, verified the proof builds under `lake build`, and tested downstream files for regressions. I reviewed the proof, naming, and file placement.
- **Vouching.** I have read the declaration and can defend the proof without further AI assistance. Happy to take reviewer feedback on naming (`map_nonsing_inv` vs alternatives), namespace placement, or whether the typeclass bound should be relaxed further (e.g. to `MulHomClass` if we can avoid `map_one` — though `map_mul` + `mul_nonsing_inv = 1` + applying `f` to `1` seems to genuinely require `OneHomClass` too). |
t-algebra
new-contributor
LLM-generated
label:t-algebra$ |
17/0 |
Mathlib/LinearAlgebra/Matrix/NonsingularInverse.lean |
1 |
2 |
['github-actions'] |
nobody |
16-2258 16 days ago |
unknown |
0-0 0 seconds |
| 39636 |
RaggedR author:RaggedR |
feat(RingTheory/HopfAlgebra): ascending Pochhammer is of binomial type |
This adds two concrete examples to the delta operator framework from #39465, illustrating the change of basis between the two classical families of binomial-type sequences beyond the monomials.
The first file proves that the ascending Pochhammer (rising factorial) sequence is of binomial type. The backward difference operator ∇f(x) = f(x) − f(x−1) is defined, shown to be a delta operator, and the ascending Pochhammer sequence is verified as its basic sequence via a telescoping argument. The final theorem `ascPochhammer_isBinomialType` is a one-line application of Rota's classification from #39465, complementing the existing `descPochhammer_isBasicSequence_forwardDiff` for falling factorials and the forward difference.
The second file computes the Jabotinsky matrix entries of the geometric delta series y/(1−y), giving the unnormalized Lah numbers C(n−1, k−1) as the change-of-basis coefficients between rising and falling factorials. The proof factors the power (y/(1−y))ᵏ = Xᵏ · (1−X)⁻ᵏ and applies Mathlib's existing `mk_one_pow_eq_mk_choose_add` for the negative binomial series.
---
- [ ] depends on: #39465
---
LLM tools were used to assist with Lean formalization. The mathematical content is the author's own work. |
t-ring-theory
new-contributor
blocked-by-other-PR
LLM-generated
|
1596/0 |
Mathlib.lean,Mathlib/RingTheory/HopfAlgebra/AscPochhammer.lean,Mathlib/RingTheory/HopfAlgebra/BinomialType.lean,Mathlib/RingTheory/HopfAlgebra/DeltaOperator.lean,Mathlib/RingTheory/HopfAlgebra/Lah.lean,Mathlib/RingTheory/HopfAlgebra/Polynomial.lean |
6 |
9 |
['RaggedR', 'github-actions', 'mathlib-bors', 'mathlib-dependent-issues', 'themathqueen'] |
nobody |
15-78262 15 days ago |
18-23028 18 days ago |
0-211 3 minutes |
| 39548 |
RaggedR author:RaggedR |
feat(Combinatorics/SimpleGraph): coset graphs (Sabidussi construction) |
This adds coset graphs (Sabidussi's construction) to Mathlib, building on the graph action infrastructure from #39530. Given a group `G`, a subgroup `H`, and a connection set `D` (a union of `(H,H)`-double cosets, closed under inversion, disjoint from `H`), the coset graph `Sab(G, H, D)` is the simple graph on `G ⧸ H` where `xH` is adjacent to `yH` whenever `x⁻¹y ∈ D`.
The well-definedness proof — that adjacency is independent of coset representatives — uses the double coset stability of `D`. This is the core algebraic content of the construction. The file then shows that left multiplication by `G` preserves adjacency (`graphAction` instance) and that coset graphs are vertex-transitive.
When `H ≤ K`, the natural projection `G ⧸ H → G ⧸ K` is a graph homomorphism for coset graphs sharing the same connection set `D`. The proof of `proj_adj` is trivial — adjacency is `x⁻¹y ∈ D` in both graphs, independent of the subgroup. This is the Sabidussi analogue of quotient by a block system: the orbits of `K` on `G ⧸ H` form blocks of size `[K : H]`, and the quotient graph is `Sab(G, K, D)`. For example, the Zhou graph (F182A, Sab(PSL(2,13), S₃), 182 vertices, cubic) projects to the Zhou-6 graph (Sab(PSL(2,13), D₁₂), 91 vertices, 6-regular) via S₃ ≤ D₁₂, and the dodecahedron (Sab(A₅, C₃)) projects to the Petersen graph (Sab(A₅, D₆)) via C₃ ≤ D₆.
Sabidussi's construction generalizes Cayley graphs (which are the special case `H = ⊥`). Together with the representation theorem (a future PR), it gives a complete classification: every vertex-transitive graph is isomorphic to a coset graph.
The definitions and proofs are from my honours thesis (*Symmetric Graphs and their Quotients*, arXiv:1306.4798).
Depends on #39530.
---
LLM tools were used to assist with Lean formalization. The mathematical content is the author's own work. |
t-combinatorics
new-contributor
LLM-generated
|
304/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Action.lean,Mathlib/Combinatorics/SimpleGraph/CosetGraph.lean |
3 |
5 |
['RaggedR', 'github-actions', 'mathlib-bors'] |
nobody |
15-78259 15 days ago |
15-78260 15 days ago |
4-52985 4 days |
| 39498 |
RaggedR author:RaggedR |
feat(RingTheory/HopfAlgebra): umbral operators via generating functions |
## Umbral operators via generating functions
This PR completes the formalization of the finite operator calculus on `R[X]` over a ℚ-algebra. The entire umbral calculus — every theorem, every lemma, zero sorry's — is now machine-checked, from the coalgebra axioms (PR #39410) through Rota's classification (PR #39465) to the umbral operator and its duality theory.
Given a delta operator `Q` on `R[X]`, the **delta series** `f(y) = Σ (Q(X^k)).eval 0 / k! · y^k` is a formal power series with zero constant term and unit linear coefficient. Its compositional inverse `g` (obtained via Mathlib's `substInvOfIsUnit`) encodes the **basic sequence**: the polynomial `p_n` has coefficients `(p_n).coeff k = descFact(n, n-k) · [y^n](g^k)`. The **umbral operator** `U_Q` is the linear extension of `X^n ↦ p_n`.
The key result is the **lowering property** `Q(p_{n+1}) = (n+1) • p_n`. The proof uses the natural duality of the finite operator calculus — the derivative pairing `⟨h, p⟩ = Σ_k coeff_k(h) · k! · p.coeff k` between `R⟦X⟧` and `R[X]`. Under this pairing, Q's adjoint is multiplication by f (proved via the convolution formula for power series coefficients), orthogonality gives `⟨f^k, p_n⟩ = n! · δ_{kn}` (from the Jabotinsky matrix identity), and non-degeneracy closes it (upper-triangular with unit diagonal, by descending induction). Three lines of mathematics, backed by a clean chain of lemmas.
Once lowering is established, `umbralPoly_isBasicSequence` follows immediately, and `IsBasicSequence.isBinomialType` (from #39465) gives the coalgebra endomorphism property — completing the circle back to the Hopf algebra structure.
References: Langer, *Macdonald Polynomials and Symmetric Functions* (arXiv:0907.3950), §1.2.2; Roman, *The Umbral Calculus*, Academic Press 1984, Ch. 2.
Depends on #39410, #39465.
---
LLM tools were used to assist with Lean formalization. The mathematical content is the author's own work. |
t-ring-theory
new-contributor
LLM-generated
|
2141/0 |
Mathlib.lean,Mathlib/RingTheory/HopfAlgebra/BinomialType.lean,Mathlib/RingTheory/HopfAlgebra/DeltaOperator.lean,Mathlib/RingTheory/HopfAlgebra/Polynomial.lean,Mathlib/RingTheory/HopfAlgebra/UmbralOperator.lean |
5 |
6 |
['RaggedR', 'github-actions', 'mathlib-bors'] |
nobody |
15-78256 15 days ago |
15-78258 15 days ago |
1-5628 1 day |
| 39465 |
RaggedR author:RaggedR |
feat(RingTheory/HopfAlgebra): delta operators and Rota's classification |
This formalizes the fundamental theorem of the umbral calculus: that the basic sequence of any delta operator is a sequence of binomial type.
A delta operator on R[X] is a shift-equivariant linear operator which is essentially a formal power series in the variable d/dx. Rota's classification theorem states that the images of monomials x^n under delta operators are sequences of binomial type.
This PR defines `IsBinomialType`, `IsShiftEquivariant`, `IsDeltaOperator`, `forwardDiff`, and `IsBasicSequence`. It proves that monomials and falling factorials are of binomial type, that the derivative and forward difference are delta operators, and that basic sequences are of binomial type (Rota's classification).
The mathematical content is from the first half of my masters thesis (arXiv:0907.3950). See also Rota, Kahaner, and Odlyzko, *Finite Operator Calculus* (JMAA 42, 1973) and Roman, *The Umbral Calculus* (Academic Press, 1984).
Depends on #39410.
---
LLM tools were used to assist with Lean formalization. The mathematical content is the author's own work. |
t-ring-theory
new-contributor
LLM-generated
|
1386/0 |
Mathlib.lean,Mathlib/RingTheory/HopfAlgebra/BinomialType.lean,Mathlib/RingTheory/HopfAlgebra/DeltaOperator.lean,Mathlib/RingTheory/HopfAlgebra/Polynomial.lean |
4 |
8 |
['RaggedR', 'github-actions', 'mathlib-bors', 'wwylele'] |
nobody |
15-78255 15 days ago |
15-78257 15 days ago |
0-78931 21 hours |
| 39530 |
RaggedR author:RaggedR |
feat(Combinatorics/SimpleGraph): group actions on simple graphs |
This adds the first connection between Mathlib's MulAction and SimpleGraph libraries. The GraphAction class asserts that a group action on the vertex type preserves the adjacency relation, and builds on it to define vertex-transitivity and arc-transitivity for graphs.
The GraphAction typeclass gives adj_smul_iff (the biconditional for group actions) and toIso (each group element induces a graph automorphism). The IsVertexTransitive class combines GraphAction with IsPretransitive, and IsArcTransitive requires transitivity on ordered adjacent pairs (arcs).
The main theorem is the standard characterization: a graph is arc-transitive if and only if it is vertex-transitive and locally transitive (the stabilizer of each vertex acts transitively on its neighbors). The forward direction is proved directly by composing a vertex-transporting element with a neighbor-transporting stabilizer element. The reverse direction shows that an arc-transitive graph with no isolated vertices is vertex-transitive.
These definitions are the algebraic graph theory prerequisites for formalizing coset graphs (Sabidussi's construction) and the characterization of symmetric graphs via double cosets and involutions (Lorimer's theorem).
---
LLM tools were used to assist with Lean formalization. The mathematical content is the author's own work. |
t-combinatorics
new-contributor
LLM-generated
|
130/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Action.lean |
2 |
7 |
['RaggedR', 'b-mehta', 'github-actions', 'mathlib-bors'] |
nobody |
15-78243 15 days ago |
15-78243 15 days ago |
20-46454 20 days |
| 31796 |
dobronx1325 author:dobronx1325 |
feat(Data/Real/EReal): add mul_lt_mul_of_pos_left theorem |
This PR adds the theorem `EReal.mul_lt_mul_of_pos_left`, which states that for a positive real number `a` and extended reals `b < c`, left multiplication by `a` preserves the strict order: `(a : EReal) * b < (a : EReal) * c`.
The theorem complements existing order-preserving properties for addition in `EReal` and extends the algebraic structure for multiplication. The proof uses basic properties of extended reals and order relations.
---
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[](https://gitpod.io/from-referrer/)
|
t-data
new-contributor
merge-conflict
|
23/0 |
Mathlib/Data/EReal/Operations.lean |
1 |
5 |
['JovanGerb', 'LLaurance', 'dobronx1325', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
15-75852 15 days ago |
194-73080 194 days ago |
6-25774 6 days |
| 35834 |
homeowmorphism author:homeowmorphism |
feat(Mathlib/GroupTheory/PresentedGroup): every group has a presentation |
We show that every group has a presentation defined by taking the free group with all of the group elements as the generators, and defining the relations as the kernel of the induced subjective homomorphism from that free group to the group itself.
Use of AI: This has been vibe-coded with GPT-Codex-5.3, was updated through review, and was double-checked by the author.
---
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In particular, note that most reviewers will only notice your PR
if it passes the continuous integration checks.
Please ask for help on https://leanprover.zulipchat.com if needed.
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Co-authors in the squash commit are gathered from two sources:
First, all authors of commits to this PR branch are included. Thus,
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may create empty commits to indicate co-authorship, using commands like so:
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the commit message (that is, directly before the `---`) using the following format:
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[](https://gitpod.io/from-referrer/)
|
new-contributor
t-group-theory
large-import
awaiting-author
LLM-generated
merge-conflict
|
29/1 |
Mathlib/GroupTheory/PresentedGroup.lean |
1 |
16 |
['copilot-pull-request-reviewer', 'euprunin', 'github-actions', 'homeowmorphism', 'mathlib-bors', 'mathlib-merge-conflicts', 'plp127', 'tb65536'] |
tb65536 assignee:tb65536 |
15-55935 15 days ago |
94-40468 94 days ago |
4-30999 4 days |
| 39212 |
emlis42 author:emlis42 |
feat(Algebra/ContinuedFractions): add `partNums!` and `partDens!` |
This PR adds `partNums!` and `partDens!`, which provide infinite stream representations for the sequences of partial numerators and denominators of a generalized continued fraction. |
t-algebra
new-contributor
label:t-algebra$ |
8/0 |
Mathlib/Algebra/ContinuedFractions/Basic.lean |
1 |
4 |
['emlis42', 'github-actions', 'grunweg'] |
nobody |
15-54983 15 days ago |
27-56743 27 days ago |
27-56504 27 days |
| 38390 |
mortarsanjaya author:mortarsanjaya |
feat(Data/Nat/Cast/Order/Basic): introduce new class `IsMonotoneNatCast` |
The class says that `Nat.cast` is monotone in an `AddMonoidWithOne`. Basically, we use this class when we only care about comparing the elements of a monoid that comes from the `Nat`s (so we do not have to care about the compatibility between the additive structure of the monoid and its order structure).
---
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In particular, note that most reviewers will only notice your PR
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When merging, all the commits will be squashed into a single commit
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Co-authors in the squash commit are gathered from two sources:
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-->
Other than that, I'm also reorganizing some section naming, and I change the proof of the `Nontrivial` instance at the bottom to using `NeZero.nontrivial`.
[](https://gitpod.io/from-referrer/)
|
t-data
new-contributor
merge-conflict
|
28/18 |
Mathlib/Data/Nat/Cast/Order/Basic.lean |
1 |
8 |
['github-actions', 'leanprover-radar', 'mathlib-bors', 'mathlib-merge-conflicts', 'mortarsanjaya', 'vihdzp'] |
nobody |
15-54345 15 days ago |
38-37021 38 days ago |
7-85443 7 days |
| 29151 |
yuanyi-350 author:yuanyi-350 |
feat: Corollary of Hahn–Banach theorem |
In this PR, I have proved [Rudin, *Functional Analysis* (Theorem 3.7)][rudin1991] which is a step in proving the Closed Range Theorem. Also, I have added tags for the corresponding theorems in Rudin to mathlib.
3.7 Theorem. Suppose B is a convex, balanced, closed set in a locally convex space $X, x_0 \in X$, but $x_0 \notin B$. Then there exists $\Lambda \in X^*$ such that $|\Lambda x| \leq 1$ for all $x \in B$, but $\Lambda x_0>1$
proof. Since $B$ is closed and convex, we can apply (b) of Theorem 3.4, with $A=\{ x_0 \}$ , to obtain $\Lambda_1 \in X^*$ such that $\Lambda_1 x_0=r e^{i \theta}$ lies outside the closure $K$ of $\Lambda_1(B)$. Since $B$ is balanced, so is $K$. Hence there exists $s, 0<s<r$, so that $|z| \leq s$ for all $z \in K$. The functional $\Lambda=s^{-1} e^{-i \theta} \Lambda_1$ has the desired properties.
- [ ] depends on: #29033
---
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PR is merged. Please leave a blank newline before the `---`, otherwise
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If you are moving or deleting declarations, please include these lines at the bottom of the commit message
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-->
[](https://gitpod.io/from-referrer/)
|
awaiting-author
new-contributor
t-analysis
|
69/2 |
Mathlib/Analysis/LocallyConvex/Separation.lean,Mathlib/Analysis/RCLike/Lemmas.lean,Mathlib/Topology/Order/OrderClosed.lean |
3 |
17 |
['faenuccio', 'fpvandoorn', 'github-actions', 'mathlib-merge-conflicts', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot', 'mcdoll', 'themathqueen', 'yuanyi-350'] |
faenuccio assignee:faenuccio |
14-73079 14 days ago |
259-81464 259 days ago |
20-69824 20 days |
| 39146 |
anovickis author:anovickis |
feat(Analysis/CStarAlgebra/Matrix): CompactSpace instances for unitaryGroup and specialUnitaryGroup |
Adds `CompactSpace` instances (and supporting `IsClosed` / `IsCompact` lemmas) for the matrix unitary and special unitary groups.
The compactness follows from Heine-Borel applied to the entrywise sup norm: every unitary matrix has all entries bounded by `1` (via the existing `entry_norm_bound_of_unitary` lemma), and `Matrix n n 𝕜` is finite-dimensional, so `closed + bounded ⇒ compact`.
### New declarations
- `isClosed_unitaryGroup`, `isCompact_unitaryGroup`
- `instance Matrix.unitaryGroup.instCompactSpace`
- `isClosed_specialUnitaryGroup`, `isCompact_specialUnitaryGroup`
- `instance Matrix.specialUnitaryGroup.instCompactSpace`
All placed inside the existing `EntrywiseSupNorm` section in `Mathlib/Analysis/CStarAlgebra/Matrix.lean`, so the `Matrix.Norms.Elementwise` scope used for the bound is already in scope.
### Motivation
These instances enable downstream constructions of compact matrix Lie groups such as flag manifolds (e.g. SU(3)/T = F₂), where the quotient inherits compactness for free via `Quotient.compactSpace`. They also fill an obvious gap in the matrix-group API: `unitary R` is known to be closed, but compactness for `Matrix.unitaryGroup` was not previously available as an instance.
Claude Code / Anthropic was used for generating the code, Verification was done with lake build, each lemma reviewed. Proofs came out of F2 mass gap lean library - so compile verified |
t-analysis
new-contributor
awaiting-author
|
52/0 |
Mathlib/Analysis/CStarAlgebra/Matrix.lean |
1 |
12 |
['anovickis', 'github-actions', 'j-loreaux', 'wwylele'] |
nobody |
14-51020 14 days ago |
28-43028 28 days ago |
0-7559 2 hours |
| 39791 |
zixiaowang17 author:zixiaowang17 |
feat(Probability/HypothesisTesting): add Neyman-Pearson lemma |
This PR adds `Probability/HypothesisTesting/NeymanPearson.lean`, formalizing the classical Neyman-Pearson lemma with reference
Ingster, Y. and Suslina, I.A., 2012. Nonparametric goodness-of-fit testing under Gaussian models (Vol. 169). Springer Science & Business Media.
-/
The main definitions are:
* `ProbabilityTheory.NeymanPearson.npLikelihoodRatio`
* `ProbabilityTheory.NeymanPearson.npTest`
* `ProbabilityTheory.NeymanPearson.npSumError`
The main theorem is:
* `ProbabilityTheory.NeymanPearson.neyman_pearson`
We state the theorem in the weighted form `∫ T dP + t * ∫ (1 - T) dQ`, over measurable tests T : Ω → ℝ with values in [0, 1], using P + Q as the canonical dominating measure; rather than starting with the constrained formulation that fixes the Type I error and minimizes the Type II error. The reasons are two fold.
First, it can be thought as the Lagrangian form of the classical constrained Neyman-Pearson problem.
Second, this weighted form is often arises in applications, such as, in minimax lower-bound arguments for functional estimation, where one typically reduces estimation lower bounds to testing inequalities involving weighted sums of error probabilities.
Worflow with AI: we first manually wrote a blueprint in latex with every definition and lemma we need [NL_Blueprint_NP_Lemma.pdf](https://github.com/user-attachments/files/28199645/NL_Blueprint_NP_Lemma.pdf). then we checked the Mathlib API with claude code, chatgpt and LeanSearch, We manually wrote the outline, in the outline version we deleted the discussion on gamma in the blueprint - since we have used the version of the NP lemma that uses the likelihood ratio to construct the test, rather than writing in terms of comparisons of Radon-Nikodym derivatives with a common dominating measure, and hence have used gamma to arbitrarily define likelihood-ratio sets of measure zero under the null hypothesis. This choice is motivated by the downstream derivation of errors of NP tests. since we are unfamiliar with mathlib naming style, we used claude code skill for proof golfing and some syntax correction, eg whether should use unfold or simp only [];
Co-authored-by: Rajarshi Mukherjee <ram521@mail.harvard.edu>
--- |
t-measure-probability
new-contributor
LLM-generated
|
179/0 |
Mathlib.lean,Mathlib/Probability/Decision/HypothesisTesting/NeymanPearson.lean |
2 |
3 |
['github-actions', 'grunweg'] |
nobody |
14-39700 14 days ago |
14-42244 14 days ago |
0-289 4 minutes |
| 39701 |
thothrde author:thothrde |
feat(Condensed/Solid): prove profiniteSolidification is iso at finite types (partial) |
Proves partial results toward the open TODO in `Mathlib/Condensed/Solid.lean`:
> TODO (hard): prove that `((profiniteSolid ℤ).obj S).IsSolid` for `S : Profinite`.
## New lemmas
### `CondensedMod.profiniteSolidCounit_isIso`
The counit `(profiniteSolidCounit R).app T` is an isomorphism for every `T : FintypeCat`.
**Proof:** `IsPointwiseRightKanExtension.isIso_hom` (using that `FintypeCat.toProfinite` is fully faithful) gives `IsIso (profiniteSolidCounit R)` as a natural transformation, and then `inferInstance` extracts the component-wise isomorphism.
### `CondensedMod.profiniteSolidification_comp_counit`
The solidification composed with the counit equals the identity at `FintypeCat` objects:
```
(profiniteSolidification R).app (FintypeCat.toProfinite.obj T) ≫ (profiniteSolidCounit R).app T = 𝟙 _
```
**Proof:** Direct from `liftOfIsRightKanExtension_fac_app`, since `profiniteSolidification` is defined as a `liftOfIsRightKanExtension`.
### `CondensedMod.profiniteSolidification_isIso_at_fintype`
The solidification map is an isomorphism at every `FintypeCat.toProfinite.obj T`.
**Proof:** Since solidification ≫ counit = id and counit is an isomorphism, `isIso_of_comp_hom_eq_id` gives that solidification = inv(counit), hence is also an isomorphism.
### `CondensedMod.profiniteSolid_isSolid_at_fintype`
**Partial result:** `((profiniteSolid R).obj S).IsSolid` holds when the test object is `FintypeCat.toProfinite.obj T`.
**Proof:** `profiniteSolidification_isIso_at_fintype` makes the solidification map an isomorphism in `CondensedMod R`; functoriality of `yoneda` then gives the isomorphism on hom-sets.
### `CondensedMod.profiniteSolid_obj_isSolid` (with `sorry`)
States the full result. The remaining step requires showing that:
1. Every `X : Profinite` is a cofiltered limit of finite discrete quotients (`X.asLimit` from `Mathlib.Topology.Category.Profinite.AsLimit`, now imported).
2. The solid module condition is preserved under such limits.
Point (2) follows from the adjunction `solidification ⊣ inclusionOfSolidModules`, which implies the inclusion preserves limits (being a right adjoint). **This adjunction has not yet been formalized in Mathlib**, and constitutes the remaining hard step.
## Open question
The `sorry` in `profiniteSolid_obj_isSolid` can be removed once the following is formalized:
```lean
lemma isSolid_of_isLimit {J : Type*} [SmallCategory J] {F : J ⥤ CondensedMod R}
(c : Cone F) (hc : IsLimit c) (h : ∀ j, (F.obj j).IsSolid) : c.pt.IsSolid
```
This requires the adjunction between the solidification functor and the inclusion of solid modules into condensed modules.
## Changes
- Added `import Mathlib.Topology.Category.Profinite.AsLimit` (needed for `X.asLimit`)
- Added 4 new lemmas + 1 theorem (with sorry) to `Mathlib/Condensed/Solid.lean`
- Replaced the old TODO comments with structured documentation
## Notes
This PR is a work in progress. The four new lemmas are fully proved (no sorry). The main theorem `profiniteSolid_obj_isSolid` contains one sorry with a detailed proof sketch in its docstring.
The leanprover-community CI will show one sorry warning, which is intentional and documented.
|
t-condensed
new-contributor
|
652/8 |
MathProject/P0_SolLeftCancel_Axiom.lean,MathProject/P1_Solid.lean,MathProject/P2_finFree_Solid.lean,MathProject/P4_Solid_Progress.lean,MathProject/PR_README.md,Mathlib/Algebra/Category/ModuleCat/Adjunctions.lean,Mathlib/Condensed/Solid.lean |
7 |
2 |
['github-actions'] |
nobody |
13-83175 13 days ago |
unknown |
0-0 0 seconds |
| 39820 |
samuelchassot author:samuelchassot |
Add proof of the existence of an Eulerian walk if all vertices have even degree or if exactly vertices have odd degree |
As per the TODO open in `Trails.lean`.
---
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-->
[](https://gitpod.io/from-referrer/)
|
t-combinatorics
new-contributor
|
671/3 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Eulerian.lean,Mathlib/Combinatorics/SimpleGraph/Trails.lean |
3 |
8 |
['SnirBroshi', 'copilot-pull-request-reviewer', 'github-actions'] |
nobody |
13-71316 13 days ago |
13-72547 13 days ago |
13-72308 13 days |
| 31898 |
ntapiam author:ntapiam |
feat(LinearAlgebra/TensorAlgebra): implement HopfAlgebra for TensorAlgebra |
implementation of the natural Hopf algebra structure on the TensorAlgebra |
new-contributor
t-ring-theory
awaiting-author
merge-conflict
|
253/0 |
Mathlib.lean,Mathlib/Algebra/FreeAlgebra.lean,Mathlib/LinearAlgebra/TensorAlgebra/Basic.lean,Mathlib/RingTheory/Bialgebra/FreeAlgebra.lean,Mathlib/RingTheory/Bialgebra/TensorAlgebra.lean,Mathlib/RingTheory/HopfAlgebra/TensorAlgebra.lean |
6 |
66 |
['YaelDillies', 'github-actions', 'hawkrobe', 'kckennylau', 'mathlib-merge-conflicts', 'ntapiam'] |
nobody |
13-43478 13 days ago |
197-29238 197 days ago |
0-34649 9 hours |
| 39722 |
kg583 author:kg583 |
feat(Combinatorics): Link `Nat.Partition` to `YoungDiagram` |
---
<!-- Your PR title will become the first line of the commit message.
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For details on the "pull request lifecycle" in mathlib, please see:
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Please ask for help on https://leanprover.zulipchat.com if needed.
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Co-authors in the squash commit are gathered from two sources:
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may create empty commits to indicate co-authorship, using commands like so:
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at the bottom of the commit message (before the `---`, and also before
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-->
AI disclosure: Claude was used to source some proof sketches.
[](https://gitpod.io/from-referrer/)
|
t-combinatorics
new-contributor
large-import
|
120/4 |
Mathlib.lean,Mathlib/Combinatorics/Enumerative/Partition/Basic.lean,Mathlib/Combinatorics/Enumerative/Partition/Conjugate.lean,Mathlib/Combinatorics/Young/YoungDiagram.lean |
4 |
36 |
['NoahW314', 'github-actions', 'kg583', 'wwylele'] |
nobody |
13-19942 13 days ago |
15-47151 15 days ago |
16-44487 16 days |
| 36763 |
alok author:alok |
refactor(Order/Filter/Germ): partial sections for Filter.Product |
## Summary
- Refactor `Filter.Product` from total functions to partial sections (`Product.Section`) with filter-large domains
- Adapt the model-theoretic `Prestructure` and Łoś's theorem proofs to partial sections
- Add `Germ ↔ Product` bridge equivalence for constant families
## Motivation
The current `Filter.Product` is a quotient of total functions `(a : α) → ε a` by eventual equality. This requires all fibers to be inhabited, which is not the mathematically correct construction. The ultraproduct should only require a section defined on a filter-large set.
The new `Product.Section` structure carries:
- A domain `dom : Set α` with `dom ∈ l`
- A dependent section `val : (a : dom) → ε a`
Two sections are equivalent if they agree on some filter-large common domain. This matches the standard mathematical construction and enables proper ultraproducts where some fibers may be empty.
## Changes
### `Mathlib/Order/Filter/Germ/Basic.lean`
- New `Product.Section` structure (partial section with filter-large domain)
- `productSetoid` redefined over `Product.Section`
- `Product.ofTotal` embeds total sections; `eq_iff_ofTotal` characterizes equality
### `Mathlib/ModelTheory/Ultraproducts.lean`
- `sectionStructure`: first-order structure on partial sections (funMap restricts to domain intersection, RelMap checks on common domain)
- `setoidPrestructure` adapted with full proofs of `fun_equiv` and `rel_equiv`
- `funMap_cast`, `boundedFormula_realize_cast` (rel case), `all` quantifier case all reproved for partial sections
- Łoś's theorem statement unchanged; `sentence_realize` still has the same API
### `Mathlib/Order/Filter/Germ/Product.lean` (new)
- `Germ.toProduct` / `Product.toGerm`: round-trip between germs and constant-family products
- `Germ.prodEquiv`: equivalence for inhabited constant families (backward compat)
## Test plan
- [x] `lake build` passes (7607/7607 modules)
- [x] All linter warnings resolved
- [x] `Mathlib.ModelTheory.Satisfiability` (uses `Filter.Product` + `sentence_realize`) still compiles
- [x] `Mathlib.Analysis.Real.Hyperreal` still compiles
---
Context: [Zulip discussion](https://leanprover.zulipchat.com/#narrow/channel/217875-Is-there-code-for-X.3F/topic/Nonstandard.20Analysis/near/513178715) — Violeta Hernández asked for fixing the ultraproduct definition as the first step after #33650 deprecated the old hyperreal machinery.
🤖 Generated with [Claude Code](https://claude.com/claude-code) |
new-contributor
merge-conflict
|
278/49 |
Mathlib.lean,Mathlib/ModelTheory/Ultraproducts.lean,Mathlib/Order/Filter/Germ/Basic.lean,Mathlib/Order/Filter/Germ/Product.lean |
4 |
6 |
['alok', 'github-actions', 'mathlib-merge-conflicts', 'plp127'] |
nobody |
12-64514 12 days ago |
unknown |
0-0 0 seconds |
| 39864 |
8e7 author:8e7 |
feat(Combinatorics/SimpleGraph/Acyclic): helly property on subtrees |
This PR adds several lemmas regarding connected subsets of vertices in trees (subtrees). The main result is the Helly property for subtrees: For a finite set of subtrees, if any pair of subtrees intersect, then there is a common vertex in all subtrees.
This lemma is part of an effort to formalize tree decompositions (see #38334), and will be used in a future PR to prove `G.cliqueNum - 1 <= G.treeWidth`.
AI Usage: The proofs were developed with the help of Claude Code. I vouch for all the code written and understand the content fully.
---
<!-- Your PR title will become the first line of the commit message.
In this box, the text above the `---` (if not empty) will be appended
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For details on the "pull request lifecycle" in mathlib, please see:
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In particular, note that most reviewers will only notice your PR
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Please ask for help on https://leanprover.zulipchat.com if needed.
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Co-authors in the squash commit are gathered from two sources:
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git commit --author="Author Name <author@email.com>" --allow-empty -m "add Author Name as coauthor"
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the commit message (that is, directly before the `---`) using the following format:
Co-authored-by: Author Name <author@email.com>
If you are moving or deleting declarations, please include these lines
at the bottom of the commit message (before the `---`, and also before
any "Co-authored-by" lines) using the following format:
Moves:
- Vector.* -> List.Vector.*
- ...
Deletions:
- Nat.bit1_add_bit1
- ...
Any other comments you want to keep out of the PR commit should go
below the `---`, and placed outside this HTML comment, or else they
will be invisible to reviewers.
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using the following format:
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- [ ] depends on: #xyz [optional extra text]
-->
[](https://gitpod.io/from-referrer/)
|
t-combinatorics
new-contributor
LLM-generated
|
114/0 |
Mathlib/Combinatorics/SimpleGraph/Acyclic.lean,Mathlib/Combinatorics/SimpleGraph/Connectivity/Subgraph.lean |
2 |
2 |
['github-actions'] |
nobody |
12-62836 12 days ago |
12-84349 12 days ago |
12-84224 12 days |
| 36529 |
idontgetoutmuch author:idontgetoutmuch |
Connection 1 form scribbles |
Some thoughts on connection 1-forms - not meant to be ever merged but here for convenience of discussion
|
new-contributor
t-differential-geometry
merge-conflict
|
496/52 |
Mathlib/Analysis/ODE/PicardLindelof.lean,Mathlib/Geometry/Manifold/Algebra/FundamentalVectorField.lean,Mathlib/Geometry/Manifold/IntegralCurve/Compact.lean,Mathlib/Geometry/Manifold/IntegralCurve/ExistUnique.lean,Mathlib/Order/Filter/Prod.lean |
5 |
3 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
12-32437 12 days ago |
unknown |
0-0 0 seconds |
| 37062 |
tannerduve author:tannerduve |
feat(Computability): Turing join and semilattice structure on Turing degrees |
## Summary
- Add `Partrec.kronecker` (equality test) and `Partrec.join` (disjoint union by parity) in `Partrec.lean`
- Prove `Nat.RecursiveIn` is closed under computable conditionals (`cond_const`, `cond`)
- Show each component reduces to the join (`left_le_join`, `right_le_join`) and the join is the least upper bound (`join_le`)
- Establish `SemilatticeSup` instance on `TuringDegree` |
t-computability
new-contributor
large-import
|
311/15 |
Mathlib/Computability/Partrec.lean,Mathlib/Computability/RecursiveIn.lean,Mathlib/Computability/TuringDegree.lean |
3 |
7 |
['Komyyy', 'github-actions', 'mathlib-merge-conflicts', 'tannerduve'] |
Komyyy assignee:Komyyy |
12-27784 12 days ago |
55-62862 55 days ago |
56-38517 56 days |
| 38745 |
FordUniver author:FordUniver |
refactor(Combinatorics/SimpleGraph/Copy): rename copy counts, align variable names, clean up docstring |
Renames `labelledCopyCount` to `copyCount` and reassigns the previous `copyCount` to `unlabeledCopyCount`. Unifies graph-variable letters to the standard `G`uest / `H`ost convention. Restructures and cleans up the module docstring.
Co-authored-by: Malte Jackisch <45597826+MaltyBlanket@users.noreply.github.com>
---
**Step 2/5 of the `Copy` / `InducedCopy` refactor-feat stack.**
Originally motivated by [a adiscussion](https://github.com/leanprover-community/mathlib4/pull/38631#discussion_r3163732684) in #38631 by @SnirBroshi that the British spelling of `labelled` is deprecated; see also discussion on Zulip ([#general > SimpleGraph.Copy is labeled but copyCount is not](https://leanprover.zulipchat.com/#narrow/channel/113489-new-members/topic/SimpleGraph.2ECopy.20is.20labeled.20but.20copyCount.20is.20not)). The addition of the new `UnlabeledCopy` type was separated into #39307 as a requirement to keep the diff somewhat readable.
On top of the Zulip discussion I also unified the argument naming to always follow the `G`uest / `H`ost convention. This highlighted a discrepancy where we write `Copy G H` but `copyCount H G`. I left this untouched since small-first-big-later seems to be the type and big-first-small-later the ops norm in mathlib. I am happy to align them if someone has a strong opinion either way.
I also adjusted a ton of docstrings since the rename was already touching them, so it seemed sensible to use this opportunity for cleanup. Open to suggestions for what should be done differently.
I also considered replacing `Bot`/`Top` with `EmptyGraph`/`CompleteGraph` in args and statement names (@SnirBroshi that was the now-closed #39303 ) because I thought that was established with #23838 but it seems [controversial](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/completeGraph.20vs.20.E2.8A.A4), so I have reverted it.
| notion | before | after |
|---|---|---|
| labelled copy / injective hom / monomorphism | `Copy A B` | `Copy G H` |
| count of labelled copies | `G.labelledCopyCount H` | `H.copyCount G` |
| count of unlabelled copies | `G.copyCount H` | `H.unlabeledCopyCount G` |
| killing operation | `G.killCopies H` | `H.killCopies G` |
| graph variables | mixed `A B C` / `α β γ` and `G H I` / `V W X` | uniform `G H I` / `V W X` (+ `G'`/`H'` on `V'`/`W'`) |
- [x] depends on: #39307
Diff for the changes *just* in this PR over its predecessor: [link](https://github.com/FordUniver/mathlib4/compare/feat/copy-sub-abbrev...chore/copy-spelling) |
t-combinatorics
new-contributor
blocked-by-other-PR
|
234/241 |
Mathlib/Combinatorics/SimpleGraph/Copy.lean |
1 |
22 |
['FordUniver', 'SnirBroshi', 'YaelDillies', 'github-actions', 'mathlib-bors', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mitchell-horner'] |
nobody |
11-66125 11 days ago |
25-64370 25 days ago |
11-52734 11 days |
| 39871 |
daiduo2 author:daiduo2 |
feat(Analysis/ODE): Uniform Gronwall inequality |
## Summary
Adds the integral-form **Uniform Gronwall inequality**, a variant of Gronwall's inequality essential in PDE theory. Unlike the standard Gronwall bound which depends on an initial value, the uniform version provides a bound on `y(t)` that depends only on the **time-averages** of `g`, `h`, and `y` over sliding windows of length `r`.
## Mathematical Statement
Let `y, g, h : ℝ → ℝ` satisfy `y'(t) ≤ g(t) * y(t) + h(t)` on `[0, T)`. If for some `r > 0`:
- `∫_t^{t+r} g(s) ds ≤ a₁`
- `∫_t^{t+r} h(s) ds ≤ a₂`
- `∫_t^{t+r} y(s) ds ≤ a₃`
for all `t ∈ [0, T-r]`, then `y(t) ≤ (a₃/r + a₂) * exp(a₁)` for all `t ∈ [r, T]`.
## Changes
- **New file**: `Mathlib/Analysis/ODE/UniformGronwall.lean` (~590 lines)
- `uniformGronwallBound` — the explicit bound
- `uniformGronwallBound_of_a₂0_a₃0`, `uniformGronwallBound_nonneg` — simp lemmas
- `le_uniformGronwallBound_of_deriv_le` — main theorem
- **Updated**: `Mathlib.lean` — added import
## Design Decisions
- Real-valued functions `ℝ → ℝ` (generalization to normed spaces left for future work)
- Right derivatives (`HasDerivWithinAt` with `Ici`), matching `Gronwall.lean` style
- Assumes non-negativity (`g, h, y ≥ 0`), standard in PDE applications
## References
- R. Temam, *Infinite-Dimensional Dynamical Systems in Mechanics and Physics*, Appendix A |
t-analysis
new-contributor
awaiting-author
LLM-generated
|
601/0 |
Mathlib.lean,Mathlib/Analysis/ODE/UniformGronwall.lean |
2 |
4 |
['daiduo2', 'github-actions', 'grunweg'] |
nobody |
11-43839 11 days ago |
12-54747 12 days ago |
0-13098 3 hours |
| 39865 |
eliasjudin author:eliasjudin |
feat(Algebra): add eval API parity lemmas |
Adds two eval API parity lemmas from #23044: `MvPolynomial.hom_eval₂`, parallel to `Polynomial.hom_eval₂`, and `Polynomial.eval₂RingHom_comp_C`, parallel to `MvPolynomial.eval₂Hom_comp_C`.
This addresses the eval portion of #23044; the degree-name discussion there is left for separate work.
|
t-algebra
new-contributor
label:t-algebra$ |
10/0 |
Mathlib/Algebra/MvPolynomial/Eval.lean,Mathlib/Algebra/Polynomial/Eval/Defs.lean |
2 |
2 |
['github-actions'] |
nobody |
11-43702 11 days ago |
13-1009 13 days ago |
13-770 13 days |
| 39903 |
akiezun author:akiezun |
feat(NumberTheory): add almost prime numbers |
Adds Nat.IsAlmostPrime k n for natural numbers with exactly k prime factors counted with multiplicity, plus
Nat.IsAtMostAlmostPrime and Nat.IsSemiprime. The definitions reuse the existing arithmetic function Ω, and the initial
API proves the basic zero/one cases, prime examples, and closure under multiplication.
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|
new-contributor
t-number-theory
|
87/0 |
Mathlib.lean,Mathlib/NumberTheory/AlmostPrime.lean |
2 |
5 |
['SnirBroshi', 'akiezun', 'github-actions', 'vihdzp'] |
loefflerd assignee:loefflerd |
11-26796 11 days ago |
12-28868 12 days ago |
12-28629 12 days |
| 37374 |
NoneMore author:NoneMore |
feat(Topology/DerivedSet): add relative derived set lemmas |
Add `relDerivedSet`, `relDerivedSet_subset`, and `IsClosed.relDerivedSet_eq`.
---
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|
t-topology
new-contributor
|
17/0 |
Mathlib/Topology/DerivedSet.lean |
1 |
7 |
['NoneMore', 'github-actions', 'plp127', 'vihdzp'] |
fpvandoorn assignee:fpvandoorn |
11-7517 11 days ago |
11-7585 11 days ago |
68-58451 68 days |
| 38843 |
FordUniver author:FordUniver |
chore(Combinatorics/SimpleGraph/Copy): replace file-wide `@[expose]` with selective exposure |
Removes the file-wide `@[expose] public section` and restores selective `@[expose]` only on the small constructive `def`s that need cross-module reduction: `Copy.toEmbedding`, `Copy.id`, `Copy.ofLE`, `Copy.topEmbedding` — each has an exported `@[simp]` lemma proved by `rfl` that needs the definition unfolded to typecheck. Replaces `@[simps!]` on `topEmbedding` with an explicit `@[simp] topEmbedding_apply` to avoid a private `_proof_1` term leaking into generated lemma names; adds `toEmbedding_apply` to match the existing `toHom_apply`. Switches `IsIndContained` from `def` to `abbrev` so the structural alias `Nonempty (G ↪g H)` stays transparent, matching `IsContained` and `Free`.
Co-authored-by: Malte Jackisch <45597826+MaltyBlanket@users.noreply.github.com>
---
**Step 3/5 of the `Copy` / `InducedCopy` refactor-feat stack.**
The noncomputable counts `copyCount` and `unlabeledCopyCount` are deliberately *not* exposed (see [@plp127's review](https://github.com/leanprover-community/mathlib4/pull/38631#discussion_r3161902380) on #38631 explaining that unfolding a `classical`-`Fintype.card` body is rarely what you want); the downstream consumers in #38631 bridge via public `*_eq_nat_card` lemmas introduced in #38931 instead.
- [ ] depends on: #38745
Diff for the changes *just* in this PR over its predecessor: [link](https://github.com/FordUniver/mathlib4/compare/chore/copy-spelling...chore/copy-expose)
|
t-combinatorics
new-contributor
blocked-by-other-PR
|
245/247 |
Mathlib/Combinatorics/SimpleGraph/Copy.lean |
1 |
5 |
['github-actions', 'mathlib-bors', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
10-77282 10 days ago |
25-81873 25 days ago |
0-76500 21 hours |
| 38931 |
FordUniver author:FordUniver |
chore(Combinatorics/SimpleGraph/Copy): replace classical `Fintype.card` with `Nat.card` |
Replaces definitions of `copyCount` and `unlabeledCopyCount` with `Nat.card` instead of `Fintype.card` as well as several `Fintype` occurrences with `Finite`. The body of `uniqueUnlabeledCopyBot` is restructured to use `Finite.injective_iff_surjective` since the `Fintype.card_congr` route no longer applies under the weakened `[Finite W]` hypothesis. Adds public `copyCount_eq_nat_card` and `unlabeledCopyCount_eq_nat_card` bridge lemmas so downstream files can characterize the counts (e.g. for `Nat.card_le_card_of_injective` bridging in `InducedCopy.lean`) without unfolding.
Co-authored-by: Malte Jackisch <45597826+MaltyBlanket@users.noreply.github.com>
---
**Step 4/5 of the `Copy` / `InducedCopy` refactor-feat stack.**
As suggested in #38631 by @SnirBroshi and @YaelDillies. I went with `Nat` over `ENat` based on Yael's preference (but I think that could easily be changed to `ENat`). Quite a bit of churn was needed as a consequence.
- [ ] depends on: #38843
Diff for the changes *just* in this PR over its predecessor: [link](https://github.com/FordUniver/mathlib4/compare/chore/copy-expose...chore/copy-nat-card) |
new-contributor
t-combinatorics
large-import
blocked-by-other-PR
|
272/259 |
Mathlib/Combinatorics/SimpleGraph/Copy.lean |
1 |
8 |
['FordUniver', 'SnirBroshi', 'github-actions', 'mathlib-bors', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
10-77163 10 days ago |
34-69130 34 days ago |
0-2006 33 minutes |
| 26923 |
oliver-butterley author:oliver-butterley |
feat(Dynamics/BirkhoffSum): add the pointwise ergodic theorem (Birkhoff's) |
The Pointwise Ergodic Theorem, also known as Birkhoff's Ergodic Theorem.
Co-authored-by: Lua Viana Reis <me@lua.blog.br>
- [x] depends on: #26074
- [x] depends on: #26807
- [x] depends on: #26810
- [x] depends on: #26840
- [x] depends on: #26842
- [x] depends on: #26848
- [x] depends on: #26851
- [x] depends on: #26852
- [x] depends on: #26853
- [x] depends on: #27008
- [x] depends on: #28901
Zulip: [PR thread](https://leanprover.zulipchat.com/#narrow/channel/144837-PR-reviews/topic/.2326923.20The.20pointwise.20ergodic.20theorem.20.28Birkhoff's.29/with/527835158)
---
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|
t-dynamics
new-contributor
awaiting-author
|
398/0 |
Mathlib.lean,Mathlib/Dynamics/BirkhoffSum/Pointwise.lean |
2 |
33 |
['D-Thomine', 'github-actions', 'leanprover-community-bot-assistant', 'lua-vr', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot', 'rwst', 'sgouezel', 'urkud'] |
sgouezel assignee:sgouezel |
10-66587 10 days ago |
173-46313 173 days ago |
98-50945 98 days |
| 36487 |
samueloettl author:samueloettl |
feat(Dynamics): Ergodicity characterization |
---
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- [ ] depends on: #35402
- [x] depends on: #35451
This is a work in progress for a characterization of ergodicity via a Birkhoff Average.
Coarse Feedback is very encouraged.
[](https://gitpod.io/from-referrer/)
|
WIP
new-contributor
large-import
blocked-by-other-PR
|
421/1 |
Mathlib/Dynamics/Ergodic/Function.lean,Mathlib/Dynamics/Ergodic/OnAverageIndependent.lean,Mathlib/Topology/MetricSpace/Pseudo/Basic.lean |
3 |
5 |
['github-actions', 'lua-vr', 'mathlib-dependent-issues', 'samueloettl'] |
nobody |
10-40674 10 days ago |
88-60773 88 days ago |
0-163 2 minutes |
| 28613 |
espottesmith author:espottesmith |
feat(Combinatorics): define undirected hypergraphs |
This PR defines undirected hypergraphs:
```
@[ext]
structure Hypergraph (α : Type*) where
/-- The vertex set -/
vertexSet : Set α
/-- The hyperedge set -/
hyperedgeSet : Set (Set α)
/-- All hyperedges must be subsets of the vertex set -/
hyperedge_isSubset_vertexSet : ∀ ⦃e⦄, e ∈ hyperedgeSet → e ⊆ vertexSet
```
In addition to the main definition, some additional definitions and related lemmas are provided:
- vertex adjacency
- hyperedge adjacency
- vertex "stars"
- special cases (loops, empty hypergraphs, trivial hypergraphs, complete hypergraphs, simple hypergraphs, k-uniform hypergraphs, and d-regular hypergraphs)
- (some) hypergraph cardinality
- subhypergraphs, induced subhypergraphs, and partial hypergraphs
This implementation is certainly bare-bones. I'm submitting this PR at this point, rather than when my developments are more fleshed out, because there has been some interest in others contributing to hypergraph formalization in mathlib.
In the near future, goals include:
- defining incidence matrices (i.e., conversion from `Hypergraph α` to `Matrix α (Set α) β`
- coersion/generalization of graph as 2-uniform hypergraph
- conversion of a hypergraph into its associated clique graph/two-section graph
- constructing the dual of a hypergraph (note: on first blush, this appears somewhat challenging, given that we define hyperedges as `Set α` rather than some other type `β`)
- rank and co-rank
- walks, paths, cycles, etc. on hypergraphs
---
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|
t-combinatorics
new-contributor
|
286/0 |
Mathlib.lean,Mathlib/Combinatorics/Hypergraph/Basic.lean |
2 |
152 |
['SnirBroshi', 'b-mehta', 'espottesmith', 'github-actions', 'jt496', 'lauramonk', 'mathlib4-merge-conflict-bot', 'tb65536'] |
b-mehta assignee:b-mehta |
10-35772 10 days ago |
11-47372 11 days ago |
113-35782 113 days |
| 39981 |
MarAndrey77 author:MarAndrey77 |
feat(Analysis/Convex): prove Shapley-Folkman lemma |
## Summary
This PR adds a formal proof of the Shapley-Folkman lemma for finite sums of sets in finite-dimensional real vector spaces.
The main theorem states that if a point belongs to a finite sum of convex hulls, then it can be represented as a sum where all but at most `finrank ℝ E` terms belong to the original sets.
## Main declarations
* `shapley_folkman`
* `shapley_folkman_exists_choice`
* `ShapleyFolkmanRep.nonsingleton_card_le_finrank_of_minimal`
## Implementation notes
The proof uses a minimal-complexity representation and a perturbation argument to bound the number of nonsingleton convex combinations by `Module.finrank ℝ E`.
## AI usage
AI assistance was used during this project. In particular, it was used to help identify existing Mathlib theorems that could be useful for the proof, and to analyze Lean error messages while debugging the formalization.
## Checks
* `lake exe mk_all`
* `lake build Mathlib.Analysis.Convex.ShapleyFolkman`
* no `sorry`
* no linter warnings |
awaiting-author
t-analysis
new-contributor
|
1350/0 |
Mathlib.lean,Mathlib/Analysis/Convex/ShapleyFolkman.lean |
2 |
8 |
['MarAndrey77', 'github-actions', 'grunweg', 'wwylele'] |
nobody |
10-27236 10 days ago |
10-56749 10 days ago |
0-123 2 minutes |
| 36103 |
SnkXyx author:SnkXyx |
feat(Algebra/MvPolynomial/CharacteristicSet): add Characteristic Set |
This PR adds some definitions and theorems of Characteristic Set Method (also known as Wu's Method).
Definitions:
* `MvPolynomial.mainDegree`
* `MvPolynomial.initialOf`
* `MvPolynomial.reducedTo`
* `TriangulatedSet`
* `MvPolynomial.pseudo`
* `MvPolynomial.setPseudo`
* `MvPolynomial.isRemainder`
* `MvPolynomial.isSetRemainder`
* `AscendingSetTheory`
* `TriangulatedSet.isAscendingSet`
* `HasBasicSet`
* `TriangulatedSet.isCharacteristicSet`
* `MvPolynomial.List.characteristicSet`
* `MvPolynomial.List.zeroDecomposition`
Main Theorems:
* `MvPolynomial.initialOf_mul_eq`: $init_i(p \cdot q) = init_i(p) \cdot init_i(q)$ if there is no zero divisors in the coefficient ring.
* `TriangulatedSet.instWellFoundedLT`: The set of Triangulated Sets is well-founded under the lexicographic ordering.
* `MvPolynomial.pseudo_remainder_isRemainder`: The remainder $r$ of $g$ by $f$ is reduced with respect to $f$ and satisfies $init(f)^s \cdot g = q \cdot f + r$ for some $s \in \mathbb{N}$ and $q \in R[X_{\sigma}]$.
* `MvPolynomial.setPseudo_remainder_isSetRemainder`: The remainder $r$ of $g$ by a set $S$ is reduced with respect to $S$ and satisfies $(\prod S_i^{e_i}) \cdot g = \sum q_i \cdot S_i + r$ for some sequences $\{e_i\}$ and $\{q_i\}$.
* `MvPolynomial.setPseudo_remainder_eq_zero_of_mem`: The remainder of $p$ by a set $S$ is $0$ if $p \in S$.
* `MvPolynomial.List.basicSet_append_lt_of_exists_reducedToSet`: Appending an element which is reduced w.r.t. the basic set of list strictly decreases the order.
* `MvPolynomial.List.characteristicSet_isCharacteristicSet`: The computed Characteristic Set $CS$ satisfies the key algebraic property (pseudo-remainder of input polynomials is 0) and the geometric property ( $Zero(PS) \subseteq Zero(CS)$ ).
* `MvPolynomial.List.vanishingSet_eq_zeroDecomposition_union`: The zero set of a polynomial system $PS$ can be decomposed into a finite union of "quasi-varieties" defined by triangular sets:
$Zero(PS) = \bigcup_{CS \in \mathcal{ZD}} Zero(CS / \text{InitialProd}(CS))$
The PR is upstreamized from [github.com/WuProver/lean_characteristic_set](https://github.com/WuProver/lean_characteristic_set)
---
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- [x] depends on: #36386
- [x] depends on: #37791
|
t-algebra
new-contributor
label:t-algebra$ |
3860/0 |
Mathlib.lean,Mathlib/Algebra/MvPolynomial/CharacteristicSet/AscendingSet.lean,Mathlib/Algebra/MvPolynomial/CharacteristicSet/CharacteristicSet.lean,Mathlib/Algebra/MvPolynomial/CharacteristicSet/Initial.lean,Mathlib/Algebra/MvPolynomial/CharacteristicSet/MainDegree.lean,Mathlib/Algebra/MvPolynomial/CharacteristicSet/Order.lean,Mathlib/Algebra/MvPolynomial/CharacteristicSet/PseudoDivision.lean,Mathlib/Algebra/MvPolynomial/CharacteristicSet/Reduce.lean,Mathlib/Algebra/MvPolynomial/CharacteristicSet/StandardAscendingSet.lean,Mathlib/Algebra/MvPolynomial/CharacteristicSet/TriangularSet.lean,Mathlib/Algebra/MvPolynomial/CharacteristicSet/WeakAscendingSet.lean,docs/references.bib |
12 |
21 |
['Hagb', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
dagurtomas assignee:dagurtomas |
10-26381 10 days ago |
13-14617 13 days ago |
35-68499 35 days |
| 40005 |
tautschnig author:tautschnig |
feat(Data/ZMod/Basic): isUnit characterisation in prime power moduli |
Add two lemmas characterising units in ZMod (p^n) via divisibility of the canonical lift:
isUnit_iff_not_prime_dvd_val: for prime p and n > 0,
IsUnit x ↔ ¬ p ∣ x.val.
not_isUnit_iff_prime_dvd_val: for prime p and n > 0,
¬ IsUnit x ↔ p ∣ x.val.
These specialise the existing isUnit_iff_coprime to prime power moduli, where the coprimality condition reduces to a simple divisibility check on the unique prime factor.
---
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[](https://gitpod.io/from-referrer/)
|
t-data
new-contributor
|
15/0 |
Mathlib/Data/ZMod/Basic.lean |
1 |
3 |
['copilot-pull-request-reviewer', 'github-actions'] |
nobody |
10-507 10 days ago |
10-2825 10 days ago |
10-2586 10 days |
| 40006 |
tautschnig author:tautschnig |
feat(Data/ZMod/Basic): idempotents in ZMod (p^d) are exactly {0, 1} |
Add sq_eq_self_iff_eq_zero_or_one: in ZMod (p^d) for prime p and d > 0, x^2 = x iff x = 0 or x = 1.
This generalises eq_zero_or_one_of_sq_eq_self (which requires CancelMonoidWithZero, i.e., no zero divisors) to the prime-power case. ZMod (p^d) has zero divisors for d >= 2, so the mul_left_injective₀ argument used by the existing lemma does not apply. The proof works by lifting to ℕ, using that if gcd(a, b) = 1 and p^d | a*b then p^d divides one of a or b (by Euclid's lemma), then noting that a = x.val and b = x.val - 1 are consecutive naturals and hence coprime.
---
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[](https://gitpod.io/from-referrer/)
|
t-data
new-contributor
|
56/0 |
Mathlib/Data/ZMod/Basic.lean |
1 |
2 |
['github-actions'] |
nobody |
9-84304 9 days ago |
9-84374 9 days ago |
9-84830 9 days |
| 33817 |
FlAmmmmING author:FlAmmmmING |
fix(Combinatorics/Enumerative/Schroder): fix the definition of `smallSchroder` |
In the previous definition, the small Schröder numbers were defined as
```LaTeX
s_0 = 1, s_1 = 1, s_2 = 1, s_3 = 3...
```
, which does not match the sequence listed in OEIS A006318. Moreover, this definition makes it difficult to correctly write the generating function for the small Schröder numbers. This PR fixes this issue.
---
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[](https://gitpod.io/from-referrer/)
|
new-contributor
t-combinatorics
large-import
awaiting-author
merge-conflict
|
61/39 |
Mathlib/Combinatorics/Enumerative/Schroder.lean |
1 |
21 |
['FlAmmmmING', 'YaelDillies', 'github-actions', 'mathlib-merge-conflicts', 'vihdzp'] |
YaelDillies assignee:YaelDillies |
9-32465 9 days ago |
74-10471 74 days ago |
74-58112 74 days |
| 35394 |
HugLycan author:HugLycan |
feat(Tactic/Positivity): make positivity work for types that are not partial orders |
Make positivity work for types that are not partial orders
Most PositivityExt haven't been updated for non partial order cases yet. They will be updated in the later PR.
`Strictness` now depends on `Option Q(PartialOrder $α)` instead of `Q(PartialOrder $α)`, and the constructors `Strictness.positive`/`Strictness.nonnegative` now have their `Q(PartialOrder $α)` typeclass arguments.
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-meta
maintainer-merge
awaiting-author
merge-conflict
|
612/354 |
Mathlib/Algebra/Order/AbsoluteValue/Basic.lean,Mathlib/Algebra/Order/Algebra.lean,Mathlib/Algebra/Order/BigOperators/Expect.lean,Mathlib/Algebra/Order/BigOperators/Ring/Finset.lean,Mathlib/Algebra/Order/Field/Basic.lean,Mathlib/Algebra/Order/Field/Power.lean,Mathlib/Algebra/Order/Floor/Extended.lean,Mathlib/Algebra/Order/Floor/Ring.lean,Mathlib/Algebra/Order/Interval/Basic.lean,Mathlib/Algebra/Order/Module/Field.lean,Mathlib/Analysis/Complex/Exponential.lean,Mathlib/Analysis/Complex/Order.lean,Mathlib/Analysis/Complex/Trigonometric.lean,Mathlib/Analysis/Complex/UpperHalfPlane/Basic.lean,Mathlib/Analysis/Normed/Group/Basic.lean,Mathlib/Analysis/SpecialFunctions/Bernstein.lean,Mathlib/Analysis/SpecialFunctions/Gamma/Basic.lean,Mathlib/Analysis/SpecialFunctions/Log/Basic.lean,Mathlib/Analysis/SpecialFunctions/Pow/NNReal.lean,Mathlib/Analysis/SpecialFunctions/Pow/Real.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Arctan.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Basic.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/DerivHyp.lean,Mathlib/Combinatorics/Enumerative/DyckWord.lean,Mathlib/Combinatorics/SimpleGraph/Regularity/Bound.lean,Mathlib/Combinatorics/SimpleGraph/Triangle/Removal.lean,Mathlib/Data/ENNReal/Basic.lean,Mathlib/Data/ENNReal/Real.lean,Mathlib/Data/EReal/Basic.lean,Mathlib/Data/EReal/Inv.lean,Mathlib/Data/EReal/Operations.lean,Mathlib/Data/NNReal/Defs.lean,Mathlib/Data/Nat/Factorial/DoubleFactorial.lean,Mathlib/Data/Nat/Totient.lean,Mathlib/Data/Rat/Cast/Order.lean,Mathlib/Data/Real/Sqrt.lean,Mathlib/Geometry/Euclidean/Altitude.lean,Mathlib/MeasureTheory/Covering/Besicovitch.lean,Mathlib/MeasureTheory/Integral/Bochner/Basic.lean,Mathlib/MeasureTheory/Measure/Real.lean,Mathlib/NumberTheory/ArithmeticFunction/Misc.lean,Mathlib/NumberTheory/ArithmeticFunction/Zeta.lean,Mathlib/NumberTheory/Height/Basic.lean,Mathlib/NumberTheory/Height/NumberField.lean,Mathlib/NumberTheory/Height/Projectivization.lean,Mathlib/NumberTheory/LucasLehmer.lean,Mathlib/NumberTheory/SelbergSieve.lean,Mathlib/Tactic/Positivity/Basic.lean,Mathlib/Tactic/Positivity/Core.lean,Mathlib/Tactic/Positivity/Finset.lean,Mathlib/Topology/Algebra/InfiniteSum/Order.lean,Mathlib/Topology/MetricSpace/Bounded.lean,Mathlib/Topology/MetricSpace/Pseudo/Defs.lean,MathlibTest/positivity.lean |
54 |
92 |
['HugLycan', 'JovanGerb', 'Vierkantor', 'fpvandoorn', 'github-actions', 'joneugster', 'leanprover-radar', 'mathlib-merge-conflicts'] |
dwrensha assignee:dwrensha |
9-30936 9 days ago |
11-70007 11 days ago |
62-83523 62 days |
| 35569 |
goliath-klein author:goliath-klein |
refactor(PiTensorProduct/{InjectiveNorm, ProjectiveNorm}): deprecate `injectiveSeminorm` |
This PR:
* Deprecates `PiTensorProduct.injectiveSeminorm` and supporting lemmas.
* Moves the theory of `liftEquiv` from InjectiveSeminorm.lean to ProjectiveSeminorm.lean.
No changes are introduced beyond adding deprecation notices, adapting docstrings, and moving material between files.
The PR leaves InjectiveSeminorm.lean almost empty. A new implementation of `injectiveSeminorm`, one which reflects the common mathematical definition, is to be done.
This is the third in a series of three PRs with the goal to [deprecate `PiTensorProuduct.injectiveSeminorm`](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/injectiveSeminorm/with/568798633).
---
- [ ] depends on: #35567
- [ ] depends on: #35568
Deprecations:
- injectiveSeminorm
- dualSeminorms_bounded
- injectiveSeminorm_apply
- norm_eval_le_injectiveSeminorm
- injectiveSeminorm_le_projectiveSeminorm
- injectiveSeminorm_tprod_le
Preliminary work toward a reimplementation is at #33969.
I've added Davood and myself to the "Authors" field, as we have now significantly refactored this module.
Co-authored-by: Davood H. T. Tehrani
[](https://gitpod.io/from-referrer/)
|
new-contributor
merge-conflict
|
222/233 |
Mathlib/Analysis/Normed/Module/PiTensorProduct/InjectiveSeminorm.lean,Mathlib/Analysis/Normed/Module/PiTensorProduct/ProjectiveSeminorm.lean |
2 |
7 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
9-30933 9 days ago |
9-30934 9 days ago |
59-23938 59 days |
| 35951 |
parabamoghv author:parabamoghv |
feat(CategoryTheory/Monoidal): evaluation coevaluation isomorphisms |
This PR adds four features to rigid categories:
1. `coevaluation_evaluation` and `evaluation_coevaluation` as isomorphism equalities: Using `IsIso` instances for the `evaluation` and `coevaluation` morphisms, we promote the morphism equalities to isomorphism equalities.
2. `ExactPairing Y X` from `ExactPairing X Y`: Using an exact pairing and `IsIso` instances for both `evaluation` and `coevaluation`, we swap the exact pairing by inverting the evaluation and coevaluation morphisms. Any suggestions for the definition name are welcome. Right now it is `ExactPairing.Symm`. The second choice was `ExactPairing.Swap`.
3. `HasLeftDual X` from `HasRightDual X`: Using a `HasRightDual X` instance and relevant `IsIso` instances, we construct a left dual. Similar construction for the other way.
4. `LeftDual` isomorphic to `RightDual`: Using relevant `IsIso` instances, we provide the isomorphism from the left dual of an object to the right dual. This can be achieved in two ways: either by using `leftDualIso` or using `rightDualIso`. We will prove in a subsequent PR that both these isomorphisms are equal.
Motivation: This is part of an effort to formalize CategoricalGroups, which can be defined as right rigid groupoids. The approach is motivated by the discussion in [#34830](https://github.com/leanprover-community/mathlib4/pull/34830).
Any comments or suggestions are welcome, especially about the naming.
---
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[](https://gitpod.io/from-referrer/)
|
t-category-theory
new-contributor
awaiting-author
merge-conflict
|
64/2 |
Mathlib/CategoryTheory/Monoidal/Rigid/Basic.lean |
1 |
19 |
['dagurtomas', 'github-actions', 'joelriou', 'mathlib-merge-conflicts', 'parabamoghv', 'robin-carlier'] |
robin-carlier assignee:robin-carlier |
9-30807 9 days ago |
80-53603 80 days ago |
7-83579 7 days |
| 38595 |
openendings author:openendings |
chore(CategoryTheory): remove defeq abuse in Monad/Kleisli.lean |
Currently most of Kleisli.lean uses defeq abuse to perform deep rewrites equivalent to `Kleisli.of_mk`, `Kleisli.mk_of`, etc.
This PR removes all backward.isDefEq.respectTransparency from the file. Additionally:
- Add `theorem Kleisli.comp`, encoding `Kleisli.category.map_comp` in the base category.
- Add `theorem Cokleisli.comp`, encoding `category.map_comp` in the base category.
- Make `C` implicit in `Monad.unit_naturality` and `Monad.mu_naturality`.
- Make `C` implicit in `Comonad.counit_naturality` and `Comonad.delta_naturality`.
---
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- ~~I would greatly appreciate advice ([e.g. via Zulip](https://leanprover.zulipchat.com/#user/1060393)) on tackling the remainder of this file: the defeqs mostly appear in morally `simp`/`calc` proofs that look horrid in `refine` style.
I can supply more rfl theorems like `of_mk` and `mk_of` (and hope to do so in subsequent PRs), but don't know how to use them for a deep type rewrite.~~
[](https://gitpod.io/from-referrer/) |
t-category-theory
new-contributor
awaiting-author
WIP
merge-conflict
|
95/28 |
Mathlib/CategoryTheory/Monad/Basic.lean,Mathlib/CategoryTheory/Monad/Kleisli.lean,MathlibTest/CategoryTheory/Monad.lean |
3 |
23 |
['dagurtomas', 'github-actions', 'joelriou', 'mathlib-merge-conflicts', 'openendings'] |
nobody |
9-26998 9 days ago |
41-19816 41 days ago |
0-4425 1 hour |
| 39164 |
allenhaozhu author:allenhaozhu |
feat(Probability/Distance): add total variation distance `tvDist` |
Add `MeasureTheory.tvDist : Measure α → Measure α → ℝ≥0∞`, the total variation distance between two measures, defined via the truncated subtraction `μ - ν` already in `Mathlib.MeasureTheory.Measure.Sub`. Add four basic lemmas (`tvDist_self`, `tvDist_comm`, `tvDist_nonneg`, `tvDist_le_one`) and a bridge lemma `tvDist_eq_signedMeasure_totalVariation` connecting `tvDist` to the existing `MeasureTheory.SignedMeasure.totalVariation` for finite measures.
---
## AI-assistance disclosure
Per the Mathlib [AI-use policy](https://leanprover-community.github.io/contribute/index.html#use-of-ai):
- **Tool.** Claude Code (Anthropic) with the Claude Sonnet 4.6 model.
- **Use.** I specified the target lemma statements and the proof strategy; the assistant drafted Lean 4 tactic combinations against current Mathlib. I iterated on the proofs, verified each lemma builds under `lake build` from a clean checkout, and read the final code.
- **Vouching.** I have read every declaration in this file and can defend the proofs without further AI assistance. I welcome reviewer feedback on naming, namespace placement, and stylistic alignment with the surrounding Mathlib modules. |
t-measure-probability
new-contributor
LLM-generated
awaiting-author
merge-conflict
|
187/0 |
Mathlib.lean,Mathlib/Probability/Distance/TotalVariation.lean |
2 |
5 |
['allenhaozhu', 'github-actions', 'grunweg', 'mathlib-merge-conflicts'] |
nobody |
9-26735 9 days ago |
27-83874 27 days ago |
0-2707 45 minutes |
| 38527 |
archiebrowne author:archiebrowne |
feat(Analysis/Calculus): continuously differentiable actions |
define the class `ContDiffSMul 𝕜 M X n` which asserts that the map `(c, x) ↦ c • x` is `n` times continuously differentiable on `M × X`.
Many of the results are the C^n analogues of those in the module Mathlib.Topology.Algebra.MulAction.
|
t-differential-geometry
new-contributor
|
317/24 |
Mathlib.lean,Mathlib/Analysis/Calculus/BumpFunction/Basic.lean,Mathlib/Analysis/Calculus/ContDiff/Operations.lean,Mathlib/Analysis/Calculus/IteratedDeriv/Lemmas.lean,Mathlib/Analysis/ContDiffMulAction.lean,Mathlib/Analysis/InnerProductSpace/Calculus.lean |
6 |
11 |
['archiebrowne', 'github-actions', 'grunweg', 'peabrainiac'] |
ocfnash assignee:ocfnash |
9-26618 9 days ago |
31-43818 31 days ago |
39-29488 39 days |
| 39460 |
Deicyde author:Deicyde |
feat(Algebra/Module/ZLattice): Quotient by `IsZLattice` is group isomorphic to `UnitAddTorus` |
The main result `quotientAddEquivUnitAddTorus` constructs an isomorphism `(E ⧸ L) ≃+ UnitAddTorus ι` for any `IsZLattice ℝ L`.
Currently left as a draft for educational purpose. See the Zulip thread [#mathlib4 > What Is A Torus?](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/What.20Is.20A.20Torus.3F/with/595553420) for more discussion.
---
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Moves:
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- Nat.bit1_add_bit1
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- [ ] depends on: #xyz [optional extra text]
-->
- [ ] depends on: #39452
- [ ] depends on: #39453
[](https://gitpod.io/from-referrer/)
|
new-contributor
merge-conflict
|
67/6 |
Mathlib.lean,Mathlib/Algebra/Module/ZLattice/Torus.lean,Mathlib/Analysis/Fourier/AddCircleMulti.lean,Mathlib/RingTheory/Ideal/Operations.lean,Mathlib/Topology/Instances/AddCircle/Real.lean |
5 |
4 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
9-26473 9 days ago |
unknown |
0-0 0 seconds |
| 37932 |
idontgetoutmuch author:idontgetoutmuch |
feat: Exponential map of Lie group is smooth |
We construct the exponential map `expLie : g → G` for a Lie group `G` and prove that it
is smooth. The main reference is:
* Eckhard Meinrenken, *Lie Groups and Lie Algebras*, Lecture Notes, University of Toronto.
Available at https://www.math.toronto.edu/mein/teaching/LectureNotes/lie.pdf
---
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new-contributor
t-differential-geometry
awaiting-author
|
392/0 |
Mathlib.lean,Mathlib/Geometry/Manifold/Algebra/SmoothLieExp.lean |
2 |
32 |
['github-actions', 'grunweg', 'idontgetoutmuch', 'mathlib-bors', 'wwylele'] |
nobody |
9-7455 9 days ago |
51-541 51 days ago |
0-973 16 minutes |
| 30121 |
idontgetoutmuch author:idontgetoutmuch |
feat(Mathlib/Geometry/Manifold): principal fiber bundle core |
A structure capturing what it means to be a principal fibre bundle.
---
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PR is merged. Please leave a blank newline before the `---`, otherwise
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awaiting-author
t-differential-geometry
new-contributor
|
227/0 |
Mathlib.lean,Mathlib/Geometry/Manifold/PrincipalFiberBundle/PrincipalGBundle.lean |
2 |
9 |
['github-actions', 'grunweg', 'idontgetoutmuch', 'mathlib-bors', 'mathlib4-merge-conflict-bot'] |
hrmacbeth assignee:hrmacbeth |
9-7429 9 days ago |
223-61953 223 days ago |
25-16508 25 days |
| 26413 |
michaellee94 author:michaellee94 |
feat: existence of maximal solutions for ODEs 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
- [x] depends on: #29186
- [ ] depends on: #35043
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-analysis
merge-conflict
|
1300/431 |
Mathlib.lean,Mathlib/Analysis/ODE/Basic.lean,Mathlib/Analysis/ODE/ExistUnique.lean,Mathlib/Analysis/ODE/Gronwall.lean,Mathlib/Analysis/ODE/MaximalSolution.lean,Mathlib/Analysis/ODE/PicardLindelof.lean,Mathlib/Analysis/ODE/Transform.lean,Mathlib/Geometry/Manifold/IntegralCurve/Basic.lean,Mathlib/Geometry/Manifold/IntegralCurve/ExistUnique.lean,Mathlib/Geometry/Manifold/IntegralCurve/Transform.lean,Mathlib/Geometry/Manifold/IntegralCurve/UniformTime.lean,docs/1000.yaml,docs/undergrad.yaml |
13 |
95 |
['botbaki-review', 'github-actions', 'grunweg', 'leanprover-community-bot-assistant', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'michaellee94', 'winstonyin'] |
nobody |
8-36127 8 days ago |
342-66248 342 days ago |
0-5139 1 hour |
| 32692 |
WilliamCoram author:WilliamCoram |
feat: define multivariate restricted power series |
We define multivariate restricted power series over a normed ring R, and show the properties that they form a ring when R has the ultrametric property.
This work generalises my previous work in #26089 which will need to be refactored.
---
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|
t-ring-theory
t-number-theory
new-contributor
|
159/0 |
Mathlib.lean,Mathlib/Algebra/Order/Antidiag/Prod.lean,Mathlib/Algebra/Order/Antidiag/Tendsto.lean,Mathlib/RingTheory/MvPowerSeries/Restricted.lean |
4 |
52 |
['WilliamCoram', 'erdOne', 'github-actions', 'jcommelin', 'mathlib-merge-conflicts', 'mbkybky'] |
jcommelin assignee:jcommelin |
7-69430 7 days ago |
7-69582 7 days ago |
62-37819 62 days |
| 40033 |
JJYYY-JJY author:JJYYY-JJY |
chore: remove flexible linter suppressions |
This PR removes two local `linter.flexible` suppressions by replacing compact `simp; infer_instance` with explicit proofs.
Changed files:
- `Mathlib/Dynamics/TopologicalEntropy/DynamicalEntourage.lean`
- `Mathlib/Topology/UniformSpace/Ultra/Constructions.lean`
Tested with:
`lake build`
---
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|
new-contributor |
6/8 |
Mathlib/Dynamics/TopologicalEntropy/DynamicalEntourage.lean,Mathlib/Topology/UniformSpace/Ultra/Constructions.lean |
2 |
6 |
['chenson2018', 'github-actions', 'vihdzp'] |
nobody |
7-56368 7 days ago |
9-36552 9 days ago |
9-36313 9 days |
| 34875 |
banrovegrie author:banrovegrie |
feat(LinearAlgebra/Matrix): add Sherman-Morrison formula |
Mathlib has the matrix determinant lemma (`det_add_replicateCol_mul_replicateRow` in SchurComplement.lean) but lacked the corresponding inverse formula. This PR fills that gap.
- Add `Matrix.inv_add_vecMulVec`: Sherman-Morrison formula for `(A + uv^T)^{-1}`
- Add `Matrix.inv_sub_vecMulVec`: subtraction variant
- Add `Matrix.isUnit_det_add_vecMulVec`: invertibility under the formula's hypotheses
## Test plan
- [x] `lake build` passes
- [x] Lines within 100 char limit
- [x] All declarations have docstrings
**Any specific AI usage?**: Used Copilot for review purposes. |
t-algebra
new-contributor
awaiting-author
label:t-algebra$ |
135/0 |
Mathlib.lean,Mathlib/LinearAlgebra/Matrix/ShermanMorrison.lean |
2 |
15 |
['Xxxjdjdid', 'banrovegrie', 'chrisflav', 'copilot-pull-request-reviewer', 'eric-wieser', 'github-actions', 'wwylele'] |
chrisflav assignee:chrisflav |
7-54854 7 days ago |
53-55931 53 days ago |
69-6728 69 days |
| 38887 |
Rosario-Leonardi-CT author:Rosario-Leonardi-CT |
feat(Analysis/Fourier/ZMod): add dft_star_comp |
Adds `ZMod.dft_star_comp`, expressing that `𝓕 (star ∘ Φ) k = star (𝓕 Φ (-k))`, the discrete analogue of the Fourier transform's interaction with complex conjugation, complementing the existing `dft_comp_neg`.
---
AI disclosure: lemma statement and proof drafted with assistance from Claude Code; verified by the Lean compiler with no `sorry` and standard axioms only (`propext`, `Classical.choice`, `Quot.sound`). |
t-analysis
new-contributor
awaiting-author
|
9/0 |
Mathlib/Analysis/Fourier/ZMod.lean |
1 |
9 |
['Rosario-Leonardi-CT', 'github-actions', 'wwylele'] |
j-loreaux assignee:j-loreaux |
7-54117 7 days ago |
30-53053 30 days ago |
5-6447 5 days |
| 39239 |
alainchmt author:alainchmt |
feat(FieldTheory/Finite): irreducible polynomial divides X^q^n - X iff degree divides n |
---
Add the theorem saying that, for an irreducible polynomial `f` over a finite field `K`, the degree of `f` divides `n` if and only if `f` divides `X ^ (Nat.card K) ^ n - X`. Include auxiliary lemmas.
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|
t-algebra
new-contributor
label:t-algebra$ |
34/0 |
Mathlib/FieldTheory/Finite/Extension.lean,Mathlib/FieldTheory/Minpoly/Field.lean |
2 |
2 |
['github-actions'] |
nobody |
7-33384 7 days ago |
26-82725 26 days ago |
26-82486 26 days |
| 39954 |
jihuang2024 author:jihuang2024 |
feat(Analysis/Polynomial): define Hurwitz stability and prove small-degree characterizations |
Proofs were developed with assistance from Claude Code. I have reviewed and understand all the code and can justify the design decisions.
This PR introduces the predicate Polynomial.IsHurwitzStable for real polynomials and proves the Routh–Hurwitz stability criterion for degrees 1 and 2.
A polynomial p : ℝ[X] is Hurwitz stable if every root of its complexification has strictly negative real part. This notion arises in control theory and the study of linear ODEs, where it characterises asymptotic stability of a system.
New definitions
Polynomial.IsHurwitzStable: ∀ z : ℂ, (p.map (algebraMap ℝ ℂ)).IsRoot z → z.re < 0
New theorems
Polynomial.not_isHurwitzStable_zero: the zero polynomial is not Hurwitz stable
Polynomial.IsHurwitzStable.ne_zero: Hurwitz stable polynomials are nonzero
Polynomial.isHurwitzStable_X_add_C: X + C a is Hurwitz stable ↔ 0 < a
Polynomial.isHurwitzStable_quadratic: X ^ 2 + C b * X + C c is Hurwitz stable ↔ 0 < b ∧ 0 < c
Proof strategy for the quadratic
The quadratic case splits on whether a root z is real (z.im = 0) or complex (z.im ≠ 0, which forces 2 * z.re + b = 0). Existence of a root uses Complex.exists_root (Fundamental Theorem of Algebra). The necessary condition in the real-root case uses the Vieta complementary root -b - z.re.
Future work
The general Routh–Hurwitz theorem (for degree n, stated in terms of the Hurwitz matrix and its leading principal minors) requires infrastructure not yet in Mathlib — in particular a theory of the Cauchy index or the Bezoutian of two polynomials. This PR lays the definitional foundation for that work.
This corresponds to [1000.yaml](https://github.com/leanprover-community/mathlib4/blob/master/docs/1000.yaml#L2697) Q4455015 - Routh–Hurwitz theorem |
t-analysis
new-contributor
LLM-generated
|
131/0 |
Mathlib.lean,Mathlib/Analysis/Polynomial/RouthHurwitz.lean |
2 |
10 |
['SnirBroshi', 'github-actions', 'jihuang2024', 'wwylele'] |
nobody |
7-19590 7 days ago |
9-71354 9 days ago |
10-76142 10 days |