Given some pairwise relations:

The Hasse diagram I drew looked like: $$3\to13\to23\to123\to12\to1\to2$$ What does it mean when it is a straight line? Is there any theorem that infers something based on the fact that the result is a linear Hasse diagram?
It means your order is a .... wait for it.... linear order ( Ba Dum Tsss)