I have the following question:
Draw the Hasse diagram for the following partially-ordered set:
The relation $X$ is a subset of $Y$, on the set $\{ \{0\}, \{2\}, \{0,1\}, \{0,2\}, \{2,4\}, \{0,1,2\}, \{0,2,4\} \}$.
I have drawn Hasse diagrams with simple sets, (i.e. {1,2,3,4,5}) however nothing like this. How would I go about ordering this from top to bottom, does the X and Y notations relate to the first and second digit of each element, and if so what is the third digit?
Should it look like this?
