What is the name for a distributive lattice with only two elements, top and bottom?

Is there a name for a distributive lattice with only two (nonequal) elements, 1 and 0, corresponding to top and bottom, respectively? I was thinking of calling it a trivial lattice, but a trivial lattice should probably just have one element.

• I'd call it the trivial bounded lattice myself, since bounded lattices by definition have a top and bottom element. (The single element lattice would be degenerate in that case)
– Alan
Jul 17, 2021 at 19:37
• Some call it $\mathbf 2$, and in general, $\mathbf n$ to a $n$-element chain. Jul 17, 2021 at 19:40
• The free lattice on 0 elements Jul 17, 2021 at 20:07

Common notations are $$C_2$$ (used by Grätzer) and $$\mathbf{2}$$ (used by Stanley in Enumerative Combinatorics, vol. 1).