Theorem pwid

Description: A set is a member of its power class. Theorem 87 of Suppes p. 47. (Contributed by NM, 5-Aug-1993)

	Ref	Expression
Hypothesis	pwid.1	|- A e. _V
Assertion	pwid	|- A e. ~P A

Proof

Step	Hyp	Ref	Expression
1		pwid.1	|- A e. _V
2		pwidg	|- ( A e. _V -> A e. ~P A )
3	1 2	ax-mp	|- A e. ~P A