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@malarbol malarbol commented Dec 2, 2025

Built on top of #1738

This PR introduces the type Metric-Extension P M between a pseudometric space P and a metric space M as the type of isometries from P to M.

malarbol and others added 29 commits November 22, 2025 18:28
…dometric-spaces.lagda.md

Co-authored-by: Fredrik Bakke <fredrbak@gmail.com>
…dometric-spaces.lagda.md

Co-authored-by: Fredrik Bakke <fredrbak@gmail.com>
…dometric-spaces.lagda.md

Co-authored-by: Fredrik Bakke <fredrbak@gmail.com>
…dometric-spaces.lagda.md

Co-authored-by: Fredrik Bakke <fredrbak@gmail.com>
…dometric-spaces.lagda.md

Co-authored-by: Fredrik Bakke <fredrbak@gmail.com>
--lossy-unification breaks some proof of UniMath#1726
@fredrik-bakke
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What you call a Metric-Extension should really be called something of the form is-metric-extension. A metric extension of P would be a choice of a metric space M together with an isometry. I.e., the M is bundled with the isometry. I am still entirely unconvinced about the terminology choice of Metric-Extension, though, but I haven't come up with a better name which is why you haven't heard from me.

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