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Countable products of metrcs is metrizable
Motivation for this change
Finally, we prove that countable products of metrics are metrizable! In particularly, the cantor set is metrizable. I have
- A definition for
countable_uniformity. Several lemmas use it, so it made sense to factor into a nicer definition. Note that this property is equivalent to metrizability, so it has little purpose outside of this family of proofs. - The main proof is that countable products preserve
countable_uniformity. The definition of sup entourages is kinda annoying, so the proof is on the large side. It's not a blocker, just an inconvenience. - A bunch of definitions to build mixins and types.
Things done/to do
- [x] added corresponding entries in
CHANGELOG_UNRELEASED.md(do not edit former entries, only append new ones, be careful: merge and rebase have a tendency to mess upCHANGELOG_UNRELEASED.md) - [x] added corresponding documentation in the headers
Automatic note to reviewers
Read this Checklist and put a milestone if possible.