Theorem pweqd

Description: Equality deduction for power class. (Contributed by NM, 27-Nov-2013)

	Ref	Expression
Hypothesis	pweqd.1	$$⊢\phi \to A=B$$
Assertion	pweqd	$$⊢\phi \to 𝒫A=𝒫B$$

Proof

Step	Hyp	Ref	Expression
1		pweqd.1	$$⊢\phi \to A=B$$
2		pweq	$$⊢A=B\to 𝒫A=𝒫B$$
3	1 2	syl	$$⊢\phi \to 𝒫A=𝒫B$$