Theorem pwexd

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

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

Proof

Step	Hyp	Ref	Expression
1		pwexd.1	$$⊢\phi \to A\in V$$
2		pwexg	$$⊢A\in V\to 𝒫A\in \mathrm{V}$$
3	1 2	syl	$$⊢\phi \to 𝒫A\in \mathrm{V}$$