feat(Condensed): the free light condensed module on ℕ∪∞ is internally projective

[dagurtomas]

From LeanCondensed

Co-authored by: @jonasvanderschaaf

---

• depends on: [Merged by Bors] - chore(CategoryTheory): applying an efffective epi preserving functor to a regular epi diagram gives a regular epi diagram #37451
• depends on: [Merged by Bors] - chore(Mathlib/Condensed/Light/Epi.lean): automated extraction #37452
• depends on: [Merged by Bors] - chore(Mathlib/Condensed/Light/Module.lean): automated extraction #37453
• depends on: [Merged by Bors] - chore(Mathlib/Topology/Category/LightProfinite/Limits.lean): automated extraction #37454

[github-actions]

PR summary 50d5513e83

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference
Mathlib.Condensed.Light.Sequence (new file)	2057

---

Declarations diff

+ LightCondensed.internallyProjective_free_natUnionInfty
+ S'
+ S'_compactSpace
+ aux
+ cocone
+ cover
+ coverToFun
+ coverToFun_apply
+ coverToFun_surjective
+ fibre
+ fibreIncl
+ fibreInclGeneral
+ fibreIncl_apply
+ fibre_incl
+ fibres
+ fibres_closed
+ fibres_compl_eq_iUnion
+ fibres_surjective
+ instance : Countable ℕ∪{∞} := (inferInstance : Countable <| Option _)
+ mem_S'_iff
+ mem_fibres_iff
+ sectionOfFibreIncl
+ y
+ y_apply
+ y_continuous
+ y_surjective
+ π_r
+ π_r_apply

You can run this locally as follows

## summary with just the declaration names:
./scripts/pr_summary/declarations_diff.sh <optional_commit>

## more verbose report:
./scripts/pr_summary/declarations_diff.sh long <optional_commit>

The doc-module for scripts/pr_summary/declarations_diff.sh contains some details about this script.

---

Increase in tech debt: (relative, absolute) = (5.00, 0.00)

Current number	Change	Type
6758	5	backward.isDefEq.respectTransparency

Current commit 61060da059
Reference commit 50d5513e83

You can run this locally as

./scripts/reporting/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).

[mathlib-merge-conflicts]

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

[mathlib-dependent-issues]

This PR/issue depends on:

• [Merged by Bors] - chore(CategoryTheory): applying an efffective epi preserving functor to a regular epi diagram gives a regular epi diagram #37451
• [Merged by Bors] - chore(Mathlib/Condensed/Light/Epi.lean): automated extraction #37452
• [Merged by Bors] - chore(Mathlib/Condensed/Light/Module.lean): automated extraction #37453
• [Merged by Bors] - chore(Mathlib/Topology/Category/LightProfinite/Limits.lean): automated extraction #37454
  By Dependent Issues (🤖). Happy coding!

[mathlib-merge-conflicts]

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