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Aug 18, 2020 at 11:38 history edited Martin Sleziak CC BY-SA 4.0
reverted my previous correction back to "the onliest"
Aug 18, 2020 at 8:06 history edited Martin Sleziak CC BY-SA 4.0
corrected some typos (I suppose "the onliest" was meant to say "the only")
Oct 2, 2017 at 20:17 comment added Fedor Petrov Definitely I need (or some other variant of completeness axiom.) This proof is not the best in logical or set-theoretical sense.
Oct 2, 2017 at 20:04 comment added Michael I think you need the Nested Interval Theorem referred to in the question to prove that the $x$ in the Lemma exists.
Oct 2, 2017 at 13:36 history edited Fedor Petrov CC BY-SA 3.0
edited body
Oct 2, 2017 at 9:39 history answered Fedor Petrov CC BY-SA 3.0