Theorem nvelOLD 5290

Description: Obsolete proof of nvel 5287, 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 5288	. 2 ⊢ ¬ V ∈ V
2		elex 3479	. 2 ⊢ (V ∈ 𝐴 → V ∈ V)
3	1, 2	mto 200	1 ⊢ ¬ V ∈ 𝐴

This proof depends on syntax axioms:  ¬ wn 3   ∈ wcel 2146  Vcvv 3458

This proof depends on axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1828  ax-4 1842  ax-5 1943  ax-6 2000  ax-7 2041  ax-8 2148  ax-9 2156  ax-ext 2738  ax-sep 5262

This proof depends on definitions:  df-bi 210  df-an 402  df-tru 1573  df-ex 1813  df-sb 2100  df-clab 2745  df-cleq 2758  df-clel 2841  df-v 3460

This theorem is used by: (None)