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[Merged by Bors] - feat(CategoryTheory): a closed monoidal category is an ordinary enriched category over itself#21436

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[Merged by Bors] - feat(CategoryTheory): a closed monoidal category is an ordinary enriched category over itself#21436
joelriou wants to merge 2 commits intomasterfrom
jriou-ordinary-enriched-category-self

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@joelriou joelriou commented Feb 4, 2025

Let C be a closed monoidal category. It was previously shown (#17326) that C is enriched over itself. In this PR, we show that the category structure on C is determined by this enriched category structure, i.e. EnrichedOrdinaryCategory C C holds.


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github-actions bot commented Feb 4, 2025

PR summary 7bc7fc412b

Import changes for modified files

Dependency changes

File Base Count Head Count Change
Mathlib.CategoryTheory.Closed.Monoidal 435 441 +6 (+1.38%)
Mathlib.CategoryTheory.Closed.Enrichment 605 606 +1 (+0.17%)
Import changes for all files
Files Import difference
29 files Mathlib.Algebra.Category.FGModuleCat.Basic Mathlib.Algebra.Category.FGModuleCat.Limits Mathlib.Algebra.Category.ModuleCat.Monoidal.Closed Mathlib.CategoryTheory.Action.Monoidal Mathlib.CategoryTheory.Closed.Cartesian Mathlib.CategoryTheory.Closed.Enrichment Mathlib.CategoryTheory.Closed.FunctorCategory.Complete Mathlib.CategoryTheory.Closed.FunctorCategory.Groupoid Mathlib.CategoryTheory.Closed.Functor Mathlib.CategoryTheory.Closed.Ideal Mathlib.CategoryTheory.Closed.Types Mathlib.CategoryTheory.Closed.Zero Mathlib.CategoryTheory.Monoidal.Braided.Reflection Mathlib.CategoryTheory.Monoidal.Rigid.Basic Mathlib.CategoryTheory.Monoidal.Rigid.Braided Mathlib.CategoryTheory.Monoidal.Rigid.FunctorCategory Mathlib.CategoryTheory.Monoidal.Rigid.OfEquivalence Mathlib.CategoryTheory.Monoidal.Subcategory Mathlib.CategoryTheory.Sites.CartesianClosed Mathlib.Condensed.CartesianClosed Mathlib.Condensed.Light.CartesianClosed Mathlib.RepresentationTheory.Character Mathlib.RepresentationTheory.FDRep Mathlib.RepresentationTheory.GroupCohomology.Basic Mathlib.RepresentationTheory.GroupCohomology.Hilbert90 Mathlib.RepresentationTheory.GroupCohomology.LowDegree Mathlib.RepresentationTheory.GroupCohomology.Resolution Mathlib.RepresentationTheory.Invariants Mathlib.RepresentationTheory.Rep
1
Mathlib.CategoryTheory.Closed.Monoidal 6

Declarations diff

+ curry'
+ curry'_comp
+ curry'_id
+ curry'_ihom_map
+ curry'_injective
+ curry'_uncurry'
+ curry'_whiskerRight_comp
+ curryHomEquiv'
+ curry_pre_app
+ enrichedCategorySelf_comp
+ enrichedCategorySelf_hom
+ enrichedCategorySelf_id
+ enrichedOrdinaryCategorySelf_eHomWhiskerLeft
+ enrichedOrdinaryCategorySelf_eHomWhiskerRight
+ enrichedOrdinaryCategorySelf_homEquiv
+ enrichedOrdinaryCategorySelf_homEquiv_symm
+ uncurry'
+ uncurry'_curry'
+ uncurry'_injective
+ uncurry_ihom_map
+ uncurry_pre_app
+ whiskerLeft_curry'_comp
+ whiskerLeft_curry'_ihom_ev_app
+ whiskerLeft_curry_ihom_ev_app

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 relative value is the weighted sum of the differences with weight given by the inverse of the current value of the statistic.
  • The absolute value is the relative value divided by the total sum of the inverses of the current values (i.e. the weighted average of the differences).

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Thanks!

maintainer merge

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github-actions bot commented Feb 5, 2025

🚀 Pull request has been placed on the maintainer queue by dagurtomas.

@github-actions github-actions bot added the maintainer-merge A reviewer has approved the changed; awaiting maintainer approval. label Feb 5, 2025
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kim-em commented Feb 6, 2025

bors merge

@ghost ghost added ready-to-merge This PR has been sent to bors. and removed maintainer-merge A reviewer has approved the changed; awaiting maintainer approval. labels Feb 6, 2025
mathlib-bors bot pushed a commit that referenced this pull request Feb 6, 2025
…hed category over itself (#21436)

Let `C` be a closed monoidal category. It was previously shown (#17326) that `C` is enriched over itself. In this PR, we show that the category structure on `C` is determined by this enriched category structure, i.e. `EnrichedOrdinaryCategory C C` holds.
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mathlib-bors bot commented Feb 6, 2025

Pull request successfully merged into master.

Build succeeded:

@mathlib-bors mathlib-bors bot changed the title feat(CategoryTheory): a closed monoidal category is an ordinary enriched category over itself [Merged by Bors] - feat(CategoryTheory): a closed monoidal category is an ordinary enriched category over itself Feb 6, 2025
@mathlib-bors mathlib-bors bot closed this Feb 6, 2025
@mathlib-bors mathlib-bors bot deleted the jriou-ordinary-enriched-category-self branch February 6, 2025 01:15
Julian added a commit that referenced this pull request Feb 7, 2025
* origin/master:
  chore: update Mathlib dependencies 2025-02-06 (#21523)
  fix(MathlibTest/TransImports): stop inspecting the `Lean` package (#21492)
  style(Mathlib/Computability/Halting): `RePred` to `REPred` (#21216)
  feat(Data/Set/Card): add `ncard_le_encard` (#21467)
  feat(Order): lemmas for `Order.succ` and `Order.pred` in `Fin` (#21437)
  feat(LinearAlgebra/LinearIndependent): linear independence + subsingletons (#21511)
  feat: for continuous linear maps in a normed ring, `flip mul = mul` (#21507)
  chore(GroupTheory/Commutator): don't import `Ring` (#21296)
  chore(Data/Complex/Abs): add `protected` to results that already exists in root namespace (#21454)
  chore(*): `erw`s that can now become `rw`s (#21510)
  chore: allow create-adaptation-pr.sh to continue when bump branch already exists (#21486)
  feat(CategoryTheory): equivalence between `Ind C` and left exact functors from `C` to `Type` (#21430)
  chore: add test to TCSynth.lean (#21499)
  feat: the category of ind-objects satisfies the AB5 axiom (#21350)
  refactor(RepresentationTheory): `ConcreteCategory` instances for `Rep` (#21465)
  chore: split Mathlib.Order.Filter.Basic (#21403)
  chore: update Mathlib dependencies 2025-02-06 (#21487)
  chore(Cache): Add support for $MATHLIB_CACHE_DIR (#21480)
  feat(CategoryTheory): a closed monoidal category is an ordinary enriched category over itself (#21436)
  feat(AlgebraicTopology): notation X ^[n] for cosimplicial objects (#21485)
  chore: upgrade dependencies manually (#21484)
  refactor(Analysis/Normed): `ConcreteCategory` refactor for `SemiNormedGrp` (#21477)
  refactor(LinearAlgebra): `ConcreteCategory` instance for `QuadraticModuleCat` (#21471)
  refactor(MeasureTheory): `ConcreteCategory` instance for `MeasCat` (#21468)
  refactor(Topology/Category): clean up remaining uses of `HasForget` (#21458)
  refactor(CategoryTheory): `ConcreteCategory` instances for pointed types (#21470)
  feat(CategoryTheory/Action): `ConcreteCategory` instances for `Action` (#21462)
  feat(CategoryTheory): `ConcreteCategory` instance for `DifferentialObject` (#21464)
  feat(Analysis/Normed/Group/SeparationQuotient): add normed lifts and `mk` (#18178)
  chore: rename `encard_le_card` to `encard_le_encard` (#21426)
  feat: add theorem about the norm of cross products (#20920)
  feat(Data/Matroid/Circuit): circuit elimination and finitary matroids (#21172)
  feat(LinearAlgebra/ExteriorPower): add iMulti_family definition for product of a family of vectors (#21397)
pfaffelh pushed a commit that referenced this pull request Feb 7, 2025
…hed category over itself (#21436)

Let `C` be a closed monoidal category. It was previously shown (#17326) that `C` is enriched over itself. In this PR, we show that the category structure on `C` is determined by this enriched category structure, i.e. `EnrichedOrdinaryCategory C C` holds.
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