Theorem nvelOLD 5257

Description: Obsolete proof of nvel 5254, obsolete as of 1-May-2026. (Contributed by FL, 31-Dec-2006.) (Proof modification is discouraged.) (New usage is discouraged.)

Assertion

Ref	Expression
nvelOLD	⊢ ¬ V ∈ 𝐴

Proof of Theorem nvelOLD

Step	Hyp	Ref	Expression
1		vprc 5255	. 2 ⊢ ¬ V ∈ V
2		elex 3450	. 2 ⊢ (V ∈ 𝐴 → V ∈ V)
3	1, 2	mto 197	1 ⊢ ¬ V ∈ 𝐴

Syntax hints:  ¬ wn 3   ∈ wcel 2114  Vcvv 3429

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1797  ax-4 1811  ax-5 1912  ax-6 1969  ax-7 2010  ax-8 2116  ax-9 2124  ax-ext 2708  ax-sep 5231

This theorem depends on definitions:  df-bi 207  df-an 396  df-tru 1545  df-ex 1782  df-sb 2069  df-clab 2715  df-cleq 2728  df-clel 2811  df-v 3431

This theorem is referenced by: (None)