Theorem pwexd

Description: Deduction version of the power set axiom. (Contributed by Glauco Siliprandi, 26-Jun-2021)

	Ref	Expression
Hypothesis	pwexd.1	|- ( ph -> A e. V )
Assertion	pwexd	|- ( ph -> ~P A e. _V )

Proof

Step	Hyp	Ref	Expression
1		pwexd.1	|- ( ph -> A e. V )
2		pwexg	|- ( A e. V -> ~P A e. _V )
3	1 2	syl	|- ( ph -> ~P A e. _V )