Theorem pweqi

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

	Ref	Expression
Hypothesis	pweqi.1	⊢ 𝐴 = 𝐵
Assertion	pweqi	⊢ 𝒫 𝐴 = 𝒫 𝐵

Proof

Step	Hyp	Ref	Expression
1		pweqi.1	⊢ 𝐴 = 𝐵
2		pweq	⊢ ( 𝐴 = 𝐵 → 𝒫 𝐴 = 𝒫 𝐵 )
3	1 2	ax-mp	⊢ 𝒫 𝐴 = 𝒫 𝐵