Theorem nvelOLD 5271

Description: Obsolete proof of nvel 5268, 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 5269	. 2 ⊢ ¬ V ∈ V
2		elex 3474	. 2 ⊢ (V ∈ 𝐴 → V ∈ V)
3	1, 2	mto 199	1 ⊢ ¬ V ∈ 𝐴

Syntax hints:  ¬ wn 3   ∈ wcel 2141  Vcvv 3453

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1814  ax-4 1828  ax-5 1929  ax-6 1986  ax-7 2027  ax-8 2143  ax-9 2151  ax-ext 2733  ax-sep 5245

This theorem depends on definitions:  df-bi 209  df-an 400  df-tru 1562  df-ex 1799  df-sb 2090  df-clab 2740  df-cleq 2753  df-clel 2836  df-v 3455

This theorem is referenced by: (None)