Metamath Proof Explorer


Theorem vprcOLD

Description: Obsolete proof of vprc , obsolete as of 1-May-2026. (Contributed by NM, 23-Aug-1993) (Proof modification is discouraged.) (New usage is discouraged.)

Ref Expression
Assertion vprcOLD ¬ V ∈ V

Proof

Step Hyp Ref Expression
1 vnex ⊢ ¬ ∃ 𝑥 𝑥 = V
2 isset ⊢ ( V ∈ V ↔ ∃ 𝑥 𝑥 = V )
3 1 2 mtbir ⊢ ¬ V ∈ V