Show that the set of all x such that x is in A and x is not in B exists.
Define the property statement P(x) to mean "x is not in B".
By the Axiom Schema of Comprehension there is a set S such that x is S if and only if x in A and P(x) is true, that is, x is in A and x is not in B.
Hi,
what are ? sets?
if they are sets, then the axiom schema of restricted comprehension, namely the axiom where is the formula , ensures existence of the set you described (just evaluate to be and to be )