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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