Boolean lattice

A Boolean lattice $B_{n}$ is the poset of all subsets of $[n] = {1, \dots, n}$ ordered by inclusion.

Properties

$B_{n} = [2] \times [2] \times \dots \times [2]$ $n$ times (the chain of length 2).
It has a SCD

The Hasse diagram of $B_{3}$ is