Metamath Proof Explorer


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