Question

Give example of a poset under the partial order relation of divisibility,​

Answer 1

Answer:

The set N of natural numbers under divisibility i.e., 'x divides y' forms a poset because x/x for every x ∈ N. ... The relation of set inclusion ⊆ is a partial order. Since, for any sets A, B, C in P (S), firstly we have A ⊆ A, secondly, if A ⊆B and B⊆A, then we have A = B. Lastly, if A ⊆B and B ⊆C,then A⊆C.