I am still having a little difficultly with the covering relation, specifically that when y covers x, $x \prec y$ there is no element in between them, $ x \prec z \prec y$, where x,y, and z are elements of the arbitrary set in question.
For instance, I am looking at the problem
Draw the Hasse diagram for divisibility on the set
From what I have read, in order for one to be able to construct a Hasse diagram, you have to use the covering relation.
But in this example, it seems that the covering relation is contradicted. For example, $1|3$, and nothing comes between them; and $1|6$, but in this circumstance, 3 is between 1 and 6. Could someone please help me?