Initial metric extensions of pseudometric spaces #1726
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…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
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Built on top of #1724.
This PR formalizes the universal property of the metric quotient of a pseudometric space
Pas its initial metric extension:for any metric extension
i : P → M, there exists a unique isometry of metric extensionf : [P] → M.