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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