feat(Geometry/Manifold): API for extended coordinate changes

[peabrainiac]

Introduce a definition I.extendCoordChange e e' for what previously appeared in lemmas as (e.extend I).symm ≫ e'.extend I, and provide some more API lemmas. Split out from #33189.

---

[github-actions]

PR summary 3bbc5c706c

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference

---

Declarations diff

+ _root_.OpenPartialHomeomorph.extend_image_source_inter
+ contDiffOn_extendCoordChange
+ contDiffOn_extendCoordChange_symm
+ contDiffWithinAt_extendCoordChange
+ contDiffWithinAt_extendCoordChange'
+ extendCoordChange
+ extendCoordChange_source
+ extendCoordChange_source_mem_nhdsWithin
+ extendCoordChange_source_mem_nhdsWithin'
+ extendCoordChange_symm
+ extendCoordChange_target
+ isInvertible_fderivWithin_extendCoordChange
+ uniqueDiffOn_extendCoordChange_source
+ uniqueDiffOn_extendCoordChange_target
- extend_image_source_inter

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 scripts/declarations_diff.sh contains some details about this script.

---

Increase in tech debt: (relative, absolute) = (2.00, 0.00)

Current number	Change	Type
4858	2	exceptions for the docPrime linter

Current commit c9d9f727e4
Reference commit 3bbc5c706c

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).

[grunweg]

I'm wondering if extendCoordChange should be an abbrev and not a def. We don't want to really encapsulate that definition, do we? What do you think?

[grunweg]

Thanks for making the PR! I'll need a more awake moment than right now to double-check the diff (which is sadly not as readable...), but this mostly looks straightforward. Let me get a second opinion on the above question, though.