Definition:Between

Definition

Let $\left({S, \preceq}\right)$ be a poset.

Let $a, b, c \in S$ such that $a \preceq b$ and $b \preceq c$.

Then $b$ is between $a$ and $c$.

Also see

• Strictly between

Sources

• Paul R. Halmos: Naive Set Theory (1960)... (previous)... (next): $\S 14$: Order