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Metamath Proof Explorer

Theorem pwex

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

		Ref	Expression
	Hypothesis	pwex.1	$⊢ A \in V$
	Assertion	pwex	$⊢ 𝒫 A \in V$

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