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The divide metric space/metric structure seems a bit over the top. I suggest we factor these to be contained in the same files (and same for premetrics and pseudometrics and any other such divides in this namespace).
The concept of indistinguishability should be factored to separate files, called similarty-of-elements-metric-spaces and so on. This is consistent with other notions of similarity in the library.
The definition of indistinguishability in premetric spaces is not the correct one, it only applies to (reflexive?) symmetric premetric spaces. I propose we forget the non pseudo- case and only first define similarity for pseudometric spaces.
Recent contributions in the
metric-spaces
modules raise concerns about the names of some concepts in themetric-spaces
module.pre
/pseudo
/metric-spaces
indistinguishable
-->indiscernible
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