A set $X$ is called inhabited if it has some element. In classical mathematics, this means that it is not the empty set (i.e. it does not not have an element), so that one usually writes $X \neq \emptyset$. However, in intuitionistic mathematics, being inhabited is a stronger condition (in fact, the more natural one). Has any (short) notation been used for this relation "being inhabited" in the literature? I suggest $X \geq 1$, but I am not really happy about that either.
2026-03-27 01:42:28.1774575748
Notation for inhabited sets
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