feat(Condensed): the functor from light profinite sets preserves effective epimorphisms

[dagurtomas]

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• depends on: feat(CategoryTheory): sheaf categories are regular epi categories #32085

[github-actions]

PR summary ef704c53bf

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference
Mathlib.CategoryTheory.Limits.FunctorCategory.Shapes.Images (new file)	435
Mathlib.CategoryTheory.Sites.RegularEpi (new file)	777
Mathlib.Condensed.Light.EffectiveEpi (new file)	1728

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Declarations diff

+ NatTrans.image
+ NatTrans.monoFactorisation
+ NatTrans.monoFactorisationIsImage
+ combinePullbackCones
+ combinePullbackConesIsLimit
+ cospanHomMk
+ cospanIsoMk
+ fac_apply
+ instance (J : GrothendieckTopology C) [HasSheafify J (Type u)] :
+ instance : HasImages (C ⥤ Type*)
+ instance : HasStrongEpiMonoFactorisations (C ⥤ Type*)
+ instance : IsRegularEpiCategory LightCondSet.{u}
+ instance : lightProfiniteToLightCondSet.PreservesEffectiveEpis
+ instance : lightProfiniteToLightCondSet.PreservesEpimorphisms
+ instance [∀ {F G : D} (f : F ⟶ G) [Epi f], HasPullback f f] [HasPushouts D]
+ isRegularEpiCategory_sheaf
+ isRegularEpi_iff_effectiveEpi
+ spanHomMk
+ spanIsoMk

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.

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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).

[mathlib4-dependent-issues-bot]

This PR/issue depends on:

• feat(CategoryTheory): sheaf categories are regular epi categories #32085
  By Dependent Issues (🤖). Happy coding!

[mathlib4-merge-conflict-bot]

This pull request has conflicts, please merge master and resolve them.