Theorem 3ex 9147

Description: 3 is a set (common case). (Contributed by David A. Wheeler, 8-Dec-2018.)

Assertion

Ref	Expression
3ex	|- 3 e. _V

Proof of Theorem 3ex

Step	Hyp	Ref	Expression
1		3cn 9146	. 2 |- 3 e. CC
2	1	elexi 2789	1 |- 3 e. _V

Syntax hints:   e. wcel 2178   _Vcvv 2776   CCcc 7958   3c3 9123

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 2189  ax-resscn 8052  ax-1re 8054  ax-addrcl 8057

This theorem depends on definitions:  df-bi 117  df-nf 1485  df-sb 1787  df-clab 2194  df-cleq 2200  df-clel 2203  df-v 2778  df-in 3180  df-ss 3187  df-2 9130  df-3 9131

This theorem is referenced by:  fztpval  10240  lgsdir2lem3  15622