Show that if A is a subset of B. then the power set of, A is a subset of the power set of B.

Step 1:

Let A and B are the two sets and P(A) and P(B) are the two power sets of A and B respectively.

We have to to prove that if A is subset of B,then the power set of A is a subset of the power set of B.

Step 2:

Definition

Power set of any set P,is the set of all subsets of P including empty set and P itself.