Theorem 3ex 9112

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 9111	. 2 |- 3 e. CC
2	1	elexi 2784	1 |- 3 e. _V

Syntax hints:   e. wcel 2176   _Vcvv 2772   CCcc 7923   3c3 9088

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 1470  ax-7 1471  ax-gen 1472  ax-ie1 1516  ax-ie2 1517  ax-8 1527  ax-11 1529  ax-4 1533  ax-17 1549  ax-i9 1553  ax-ial 1557  ax-i5r 1558  ax-ext 2187  ax-resscn 8017  ax-1re 8019  ax-addrcl 8022

This theorem depends on definitions:  df-bi 117  df-nf 1484  df-sb 1786  df-clab 2192  df-cleq 2198  df-clel 2201  df-v 2774  df-in 3172  df-ss 3179  df-2 9095  df-3 9096

This theorem is referenced by:  fztpval  10205  lgsdir2lem3  15507