Theorem nvel 2704

Description: The universal class doesn't belong to any class. (Contributed by FL, 31-Dec-2006.)

Assertion

Ref	Expression
nvel	|- -. V e. A

Proof of Theorem nvel

Step	Hyp	Ref	Expression
1		nvelv 2703	. 2 |- -. V e. V
2		elisset 1808	. 2 |- (V e. A -> V e. V)
3	1, 2	mto 106	1 |- -. V e. A

Syntax hints:  -. wn 2   e. wcel 955  Vcvv 1802

This theorem is referenced by:  fiiu 10350  fiiu2 10377

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7  ax-gen 960  ax-8 961  ax-12 965  ax-13 966  ax-14 967  ax-17 968  ax-4 970  ax-5o 972  ax-6o 975  ax-9o 1119  ax-ext 1452  ax-sep 2693

This theorem depends on definitions:  df-bi 147  df-an 225  df-ex 978  df-sb 1168  df-clab 1457  df-cleq 1462  df-clel 1465  df-v 1803

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