Theorem pwex

Description: Power set axiom expressed in class notation. (Contributed by NM, 21-Jun-1993)

	Ref	Expression
Hypothesis	pwex.1	$$⊢A\in \mathrm{V}$$
Assertion	pwex	$$⊢𝒫A\in \mathrm{V}$$

Proof

Step	Hyp	Ref	Expression
1		pwex.1	$$⊢A\in \mathrm{V}$$
2		pwexg	$$⊢A\in \mathrm{V}\to 𝒫A\in \mathrm{V}$$
3	1 2	ax-mp	$$⊢𝒫A\in \mathrm{V}$$