Is there some standard or common notation for immediate predecessor-successor relation in a partially ordered set? How to write that $x\prec y$ and there is no $z$ such that $x\prec z\prec y$?
2026-03-31 18:20:51.1774981251
Notation for immediate predecessor-successor relation in a poset
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a is covered by b, b covers a,
when a < b and not exists x with a < x < b.
I have seen notation somewhat like a -< b for b covers a.
In general, there is no immediate precessor or successor.
Every element may cover numerous elements or none at all.