I am struggling with the very last line of this proof:
I mean, where does he get the existence of $z_1$ from?, and all the info about it?
2026-03-31 03:55:48.1774929348
Need help understanding proof about connected sets.
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If $z \not \in \overline{B}$ then there is an open neighbourhood of $z$ disjoint from $B$, $z_1$ is then some element of this nbd, larger than $z$ and smaller than $y$.