Well-inside relation
= Well-inside relation
{title2=$u\prec v\iff\neg u\vee v=1$}
= Well inside
{synonym}
This relation says that the closure of the open $u$ is contained in $v$. A <regular locale> has $a=\bigvee_{u\prec a}u$ for every $a$. If $u\prec a$, then $\neg\neg u\leq a$ and $\neg\neg u\prec a$.