Theorem 2ex 9309

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 9308	. 2 |- 2 e. CC
2	1	elexi 2826	1 |- 2 e. _V

Syntax hints:   e. wcel 2203   _Vcvv 2813   CCcc 8125   2c2 9288

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 1496  ax-7 1497  ax-gen 1498  ax-ie1 1542  ax-ie2 1543  ax-8 1553  ax-11 1555  ax-4 1559  ax-17 1575  ax-i9 1579  ax-ial 1583  ax-i5r 1584  ax-ext 2214  ax-resscn 8219  ax-1re 8221  ax-addrcl 8224

This theorem depends on definitions:  df-bi 117  df-nf 1510  df-sb 1812  df-clab 2219  df-cleq 2225  df-clel 2228  df-v 2815  df-in 3217  df-ss 3224  df-2 9296

This theorem is referenced by:  fzprval  10416  fztpval  10417  2lgslem4  15976  eulerpathprum  16475