Theorem nvelOLD 5266

Description: Obsolete proof of nvel 5263, 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 5264	. 2 ⊢ ¬ V ∈ V
2		elex 3469	. 2 ⊢ (V ∈ 𝐴 → V ∈ V)
3	1, 2	mto 199	1 ⊢ ¬ V ∈ 𝐴

Syntax hints:  ¬ wn 3   ∈ wcel 2136  Vcvv 3448

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1809  ax-4 1823  ax-5 1924  ax-6 1981  ax-7 2022  ax-8 2138  ax-9 2146  ax-ext 2728  ax-sep 5240

This theorem depends on definitions:  df-bi 209  df-an 399  df-tru 1557  df-ex 1794  df-sb 2085  df-clab 2735  df-cleq 2748  df-clel 2831  df-v 3450

This theorem is referenced by: (None)