1. ## partial orders

Q:
Suppose that
S is a set. Prove that

(P(S);c) is a partial order. Where c is 'subset' and P(s) is the power set.

Not sure how to show reflexive.

Thanks

2. Originally Posted by CarmineCortez
Q:

Suppose that
S is a set. Prove that
(P(S);c) is a partial order. Where c is 'subset' and P(s) is the power set.

Not sure how to show reflexive.

Thanks
The definition of reflexive is

$\forall A \in \mathcal{P}(S) \text{ } A \subseteq A$

i.e every set is a subset of its self. I hope this helps