Metamath Proof Explorer


Theorem pwuninelOLD

Description: Obsolete version of pwuninel as of 10-Jun-2026. (Contributed by NM, 27-Jun-2008) (Proof shortened by Mario Carneiro, 23-Dec-2016) (Proof modification is discouraged.) (New usage is discouraged.)

Ref Expression
Assertion pwuninelOLD ¬ 𝒫 𝐴𝐴

Proof

Step Hyp Ref Expression
1 pwexr ( 𝒫 𝐴𝐴 𝐴 ∈ V )
2 pwuninel2 ( 𝐴 ∈ V → ¬ 𝒫 𝐴𝐴 )
3 1 2 syl ( 𝒫 𝐴𝐴 → ¬ 𝒫 𝐴𝐴 )
4 id ( ¬ 𝒫 𝐴𝐴 → ¬ 𝒫 𝐴𝐴 )
5 3 4 pm2.61i ¬ 𝒫 𝐴𝐴