Hasse diagram

#Hasse diagram#covering#poset

Statement

Draw the Hasse diagram of the poset $(\{1,2,3,4,6,12\},\mid)$ .

Hint

Draw edges for the covering relation: $a\prec b$ if $a\mid b$ , $a\neq b$ , and no intermediate.

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Covering relation.
- $1\prec 2,3$
- $2\prec 4,6$
- $3\prec 6$
- $4\prec 12$
- $6\prec 12$

Diagram.