[Merged by Bors] - feat(CategoryTheory): the localized category is monoidal#12728
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[Merged by Bors] - feat(CategoryTheory): the localized category is monoidal#12728
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messageFile.md |
PR summary 8efbb77412
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| File | Base Count | Head Count | Change |
|---|---|---|---|
| Mathlib.CategoryTheory.Localization.Monoidal | 426 | 428 | +2 (+0.47%) |
Import changes for all files
| Files | Import difference |
|---|---|
Mathlib.CategoryTheory.Localization.Monoidal |
2 |
Declarations diff
+ Pentagon
+ instance :
+ instance : (L').EssSurj := Localization.essSurj L' W
+ instance : (toMonoidalCategory L W ε).Monoidal
+ leftUnitor_naturality
+ pentagon
+ pentagon_aux₁
+ pentagon_aux₂
+ pentagon_aux₃
+ rightUnitor_naturality
+ triangle
+ triangle_aux₁
+ triangle_aux₂
+ triangle_aux₃
You can run this locally as follows
## summary with just the declaration names:
./scripts/declarations_diff.sh <optional_commit>
## more verbose report:
./scripts/declarations_diff.sh long <optional_commit>The doc-module for script/declarations_diff.sh contains some details about this script.
No changes to technical debt.
You can run this locally as
./scripts/technical-debt-metrics.sh pr_summary
- The
relativevalue is the weighted sum of the differences with weight given by the inverse of the current value of the statistic. - The
absolutevalue is therelativevalue divided by the total sum of the inverses of the current values (i.e. the weighted average of the differences).
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…on (#20951) In #12728, we shall show that if `C` is a monoidal category and `W` is a class of morphism that is preserved by the tensor product, then the localized category is also monoidal. In this PR, we only define the `MonoidalCategoryStruct` instance and check the easy compatibilities. The pentagon and the triangle identities will be done in the separate PR #12728. Co-authored-by: Dagur Asgeirsson <dagurtomas@gmail.com>
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…on (#20951) In #12728, we shall show that if `C` is a monoidal category and `W` is a class of morphism that is preserved by the tensor product, then the localized category is also monoidal. In this PR, we only define the `MonoidalCategoryStruct` instance and check the easy compatibilities. The pentagon and the triangle identities will be done in the separate PR #12728. Co-authored-by: Dagur Asgeirsson <dagurtomas@gmail.com>
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Thanks! bors merge |
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In this PR, we shall show that if `C` is a monoidal category and `W` is a class of morphism that is preserved by the tensor product, then the localized category is also monoidal. (This shall be used in order to define a monoidal structure on the category of sheaves of abelian groups, and on categories of sheaves of modules.) Co-authored-by: Dagur Asgeirsson <dagurtomas@gmail.com> Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com> Co-authored-by: dagurtomas <dagurtomas@gmail.com>
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Pull request successfully merged into master. Build succeeded: |
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* factorial-dvd-int: (143 commits) Apply suggestions from code review feat(Factorial): k! divides the product of any k successive integers feat(CategoryTheory): creation of finite limits (#21320) chore: update Mathlib dependencies 2025-02-01 (#21328) chore(GroupTheory/SpecificGroups/Alternating.lean): follow last minute review of JX (#21314) feat: `‖x‖ₑ.toNNReal = ‖x‖₊` (#21306) chore: cleanup imports in Archive/IfNormalization (#21318) doc: fix several typos (#21315) feat(CategoryTheory): transfer being iso along an iso in the arrow category (#21310) chore: delete declarations deprecated between 2024-01 and 2024-07 (#21271) feat(Analysis/Normed/Module/Dual): polar in a normed space as a submodule (#20084) chore(Data/ZMod/Basic): split `ZMod.valMinAbs` off (#21308) feat(GroupTheory/Perm/Centralizer): study the centralizer of a permutation (#17522) feat(RingTheory/LocalRing): `IsLocalRing` for subrings (#21168) chore: update Mathlib dependencies 2025-02-01 (#21312) chore: update Mathlib dependencies 2025-01-31 (#21311) feat: generalize `mem_dite` to `Membership α β` (#21262) feat: Lemmas for some monomial orders (#16177) feat(CategoryTheory): the localized category is monoidal (#12728) feat: add function log⁺ (=positive part of the logarithm) and prove standard estimates (#21289) feat(RingTheory/WittVector): ring of Witt vectors is p-adically complete (#21295) feat(GroupTheory/GroupAction/Blocks): more on blocks (#21284) fix(FieldTheory/KrullTopology): make `krullTopology_discreteTopology_of_finiteDimensional` universe polymorphic (#21299) feat(RingTheory/Artinian): integral non-zero-divisors are units over artinian rings (#21199) refactor(Topology/Gluing): simplify definition of `TopCat.GlueData.Rel` (#20653) feat(RingTheory/PowerSeries): binomial series (#20192) chore(Mathlib/RingTheory/MvPolynomial): rename MonomiaOrder.lCoeff to MonomialOrder.leadingCoeff (#21290) chore (RingTheory/HahnSeries): fix names that use coeff (#21279) feat: let `notation3` distinguish `Prop` vs `Type _ ` vs `Sort _` (#21233) chore(MeasureTheory/Function/StronglyMeasurable): split Basic into Basic and AEStronglyMeasurable (#21273) feat(CategoryTheory): the monoidal category structure on a localization (#20951) feat(Analysis/Complex/Hadamard): generalize Hadamard's three lines theorem (#15009) feat(Order/CompleteBooleanAlgebra): Himp in terms of sSup (#20328) feat(ENNReal/Basic): add `ofNat_ne_top` and `top_ne_ofNat` (#14486) feat: Function.const as a PartialEquiv (#21137) chore(NonZeroDivisors): don't import rings (#20871) feat(Data/Set/Lattice): insert distributivity with iUnion/iInter (#21267) feat(GroupTheory/SpecificGroups/AlternatingGroup): subgroups of index 2 of Equiv.Perm (#21190) feat(GroupTheory/GroupAction/Transitive): basic results on transitive actions (#21285) perf(MeasureTheory/Function/LpSpace.lean): speed up (#21179) feat(Order): order isomorphisms from `Fin n` for small `n` (#21120) refactor(Topology/Group): turn morphisms in ProfiniteGrp into one field structures (#20740) feat: Sylow's first theorem for elementary `p`-groups (#21072) chore(Submonoid/Membership): don't import `MonoidWithZero` (#20748) refactor(Algebra/Algebra/Pi): cleanup and renaming (#21213) feat(GroupTheory/IndexNormal): subgroups of small index are normal (#21186) feat(Algebra/Group/Action): add definition of equidecomposition (#16936) feat(CategoryTheory/Subpresheaf): equalizer (#21096) feat: add lemmas about products of `Matrix.stdBasisMatrix` (#21204) chore: update Mathlib dependencies 2025-01-31 (#21282) ...
jt496
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…on (#20951) In #12728, we shall show that if `C` is a monoidal category and `W` is a class of morphism that is preserved by the tensor product, then the localized category is also monoidal. In this PR, we only define the `MonoidalCategoryStruct` instance and check the easy compatibilities. The pentagon and the triangle identities will be done in the separate PR #12728. Co-authored-by: Dagur Asgeirsson <dagurtomas@gmail.com>
jt496
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In this PR, we shall show that if `C` is a monoidal category and `W` is a class of morphism that is preserved by the tensor product, then the localized category is also monoidal. (This shall be used in order to define a monoidal structure on the category of sheaves of abelian groups, and on categories of sheaves of modules.) Co-authored-by: Dagur Asgeirsson <dagurtomas@gmail.com> Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com> Co-authored-by: dagurtomas <dagurtomas@gmail.com>
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In this PR, we shall show that if
Cis a monoidal category andWis a class of morphism that is preserved by the tensor product, then the localized category is also monoidal.(This shall be used in order to define a monoidal structure on the category of sheaves of abelian groups, and on categories of sheaves of modules.)
Co-authored-by: Dagur Asgeirsson dagurtomas@gmail.com
congrLeftandcongrRightmore explicitly #18165This shall be used in order to obtain a monoidal category structure on sheaves of modules from the monoidal structure on presheaves of modules. This also prepares some of the bifunctor API for the left derived monoidal category structure (when the tensor product does not preserves
Wbut can still be left derived).