I have an exercise which states to draw a Hasse Diagram of the following
$\{X \subseteq \{1,2,3,4\} | 2 \in X \ \lor 3 \notin X \}$ with respect to the partial order $\subseteq$
[My Work]:- I have the Hasse diagram for it in the picture below.
My doubt is
(1) Should $\{1,3,4\}$ be also in the diagram
(2) Is $\{1,4\}$ a valid subset?
