Theorem 2ex 9355

Description: 2 is a set (common case). (Contributed by David A. Wheeler, 8-Dec-2018.)

Assertion

Ref	Expression
2ex	|- 2 e. _V

Proof of Theorem 2ex

Step	Hyp	Ref	Expression
1		2cn 9354	. 2 |- 2 e. CC
2	1	elexi 2834	1 |- 2 e. _V

Syntax hints:   e. wcel 2209   _Vcvv 2821   CCcc 8167   2c2 9334

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106  ax-ia2 107  ax-ia3 108  ax-5 1500  ax-7 1501  ax-gen 1502  ax-ie1 1546  ax-ie2 1547  ax-8 1557  ax-11 1559  ax-4 1563  ax-17 1579  ax-i9 1583  ax-ial 1587  ax-i5r 1588  ax-ext 2220  ax-resscn 8261  ax-1re 8263  ax-addrcl 8266

This theorem depends on definitions:  df-bi 117  df-nf 1514  df-sb 1816  df-clab 2225  df-cleq 2231  df-clel 2234  df-v 2823  df-in 3226  df-ss 3233  df-2 9342

This theorem is referenced by:  fzprval  10467  fztpval  10468  2lgslem4  16136  eulerpathprum  16635