feat:(Condensed): properties of the functor from `TopCat` to `CondensedSet`

[dagurtomas]

---

[github-actions[bot]]

PR summary b41f7e1e77

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference
Mathlib.Condensed.TopCatAdjunction	1550

---

Declarations diff

+ CondensedSet.toTopCat + comp_val + condensedSetToTopCat + hom_ext + id_val + instance (X : TopCat) : Epi (topCatAdjunction.counit.app X) := by + instance : topCatToCondensedSet.Faithful := topCatAdjunction.faithful_R_of_epi_counit_app + toTopCatMap + topCatAdjunction + topCatAdjunctionCounit + topCatAdjunctionCounitEquiv + topCatAdjunctionCounit_bijective + topCatAdjunctionUnit ++ hom_naturality_apply

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>

[leanprover-community-mathlib4-bot]

This PR/issue depends on:

• ~~leanprover-community/mathlib4#14490~~ By Dependent Issues (🤖). Happy coding!

[joelriou]

Thanks!

bors d+

[mathlib-bors[bot]]

:v: dagurtomas can now approve this pull request. To approve and merge a pull request, simply reply with bors r+. More detailed instructions are available here.

[dagurtomas]

bors merge

[mathlib-bors[bot]]

Build failed (retrying...):

• Build

[mathlib-bors[bot]]

Pull request successfully merged into master.

Build succeeded:

• Build
• Lint style