feat(CategoryTheory/Closed): functor categories are monoidal closed

[joelriou]

---

• depends on: feat(CategoryTheory/Enriched): enrichement of functor categories over a functor category #18976
• depends on: [Merged by Bors] - feat(CategoryTheory/Enriched): functoriality of the enrichment of functor categories #18414
• depends on: [Merged by Bors] - feat(CategoryTheory/Enriched): functor categories are enriched #18009

[github-actions]

PR summary fea724eacd

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference
Mathlib.CategoryTheory.Enriched.FunctorCategory Mathlib.CategoryTheory.Closed.Enrichment	1
Mathlib.CategoryTheory.Closed.FunctorCategory.Basic (new file)	606

---

Declarations diff

+ adj
+ closed
+ 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
+ functorEnrichedCategory
+ functorEnrichedComp
+ functorEnrichedId
+ functorEnrichedOrdinaryCategory
+ functorEnriched_assoc
+ functorEnriched_comp_id
+ functorEnriched_id_comp
+ functorHomEquiv
+ functorHomEquiv_app_π
+ functorHomEquiv_comp
+ functorHomEquiv_id
+ homEquiv_naturality_three
+ homEquiv_naturality_two_symm
+ monoidalClosed
+ uncurry'
+ uncurry'_curry'
+ uncurry'_injective
+ uncurry_ihom_map
+ uncurry_pre_app
+ whiskerLeft_curry'_comp
+ whiskerLeft_curry'_ihom_ev_app
+ whiskerLeft_curry_ihom_ev_app
++ homEquiv

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.

---

Increase in tech debt: (relative, absolute) = (7.00, 0.00)

Current number	Change	Type
1521	7	erw

Current commit fea724eacd
Reference commit c93dd21f32

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).

[mathlib4-dependent-issues-bot]

This PR/issue depends on:

• feat(CategoryTheory/Enriched): enrichement of functor categories over a functor category #18976
• [Merged by Bors] - feat(CategoryTheory/Enriched): functoriality of the enrichment of functor categories #18414
• [Merged by Bors] - feat(CategoryTheory/Enriched): functor categories are enriched #18009
  By Dependent Issues (🤖). Happy coding!