Theorem 2ex 9128

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 9127	. 2 |- 2 e. CC
2	1	elexi 2786	1 |- 2 e. _V

Syntax hints:   e. wcel 2177   _Vcvv 2773   CCcc 7943   2c2 9107

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 1471  ax-7 1472  ax-gen 1473  ax-ie1 1517  ax-ie2 1518  ax-8 1528  ax-11 1530  ax-4 1534  ax-17 1550  ax-i9 1554  ax-ial 1558  ax-i5r 1559  ax-ext 2188  ax-resscn 8037  ax-1re 8039  ax-addrcl 8042

This theorem depends on definitions:  df-bi 117  df-nf 1485  df-sb 1787  df-clab 2193  df-cleq 2199  df-clel 2202  df-v 2775  df-in 3176  df-ss 3183  df-2 9115

This theorem is referenced by:  fzprval  10224  fztpval  10225  2lgslem4  15655