[Merged by Bors] - feat: IsometryClass

[astrainfinita]

---

• depends on: [Merged by Bors] - feat(Topology): Introduce HomeomorphClass #18689

[github-actions]

PR summary 0f6df6bbfa

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference

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Declarations diff

+ IsometryClass
+ antilipschitz
+ coe_coe
+ continuous
+ diam_image
+ diam_range
+ dist_eq
+ ediam_image
+ ediam_range
+ edist_eq
+ instance : CoeOut F (α ≃ᵢ β)
+ instance : IsometryClass (IsometryEquiv α β) α β
+ lipschitz
+ nndist_eq
+ nnnorm_map'
+ norm_map'
+ toContinuousMapClass
+ toHomeomorphClass
+ toIsometryEquiv
+ toIsometryEquiv_injective

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) = (2.00, 0.00)

Current number	Change	Type
4876	2	exceptions for the docPrime linter

Current commit 0f6df6bbfa
Reference commit 7a4b93882b

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:

• [Merged by Bors] - feat(Topology): Introduce HomeomorphClass #18689
  By Dependent Issues (🤖). Happy coding!

[j-loreaux]

Can you add a coercion to IsometryEquiv along with the standard simp lemmas for it?

[j-loreaux]

Thanks! This looks good.

bors merge

[mathlib-bors]

Pull request successfully merged into master.

Build succeeded:

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