Theorem nvelOLD 5275

Description: Obsolete proof of nvel 5272, 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 5273	. 2 ⊢ ¬ V ∈ V
2		elex 3471	. 2 ⊢ (V ∈ 𝐴 → V ∈ V)
3	1, 2	mto 200	1 ⊢ ¬ V ∈ 𝐴

This proof depends on syntax axioms:  ¬ wn 3   ∈ wcel 2144  Vcvv 3450

This proof depends on axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1827  ax-4 1841  ax-5 1942  ax-6 1999  ax-7 2040  ax-8 2146  ax-9 2154  ax-ext 2732  ax-sep 5248

This proof depends on definitions:  df-bi 210  df-an 402  df-tru 1572  df-ex 1812  df-sb 2099  df-clab 2739  df-cleq 2752  df-clel 2835  df-v 3452

This theorem is used by: (None)