Apartness in located metric spaces #1678
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Co-authored-by: Fredrik Bakke <fredrbak@gmail.com>
…lagda.md Co-authored-by: Fredrik Bakke <fredrbak@gmail.com>
Co-authored-by: Fredrik Bakke <fredrbak@gmail.com>
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Co-authored-by: Fredrik Bakke <fredrbak@gmail.com>
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We turn out to need the locatedness condition to prove this is an apartness relation, but that suffices, and we go on to prove that apartness in the real numbers is equivalent.
Builds on some of the apartness work done in #1676 .