Theorem 3ex 9066

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 9065	. 2 |- 3 e. CC
2	1	elexi 2775	1 |- 3 e. _V

Syntax hints:   e. wcel 2167   _Vcvv 2763   CCcc 7877   3c3 9042

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 1461  ax-7 1462  ax-gen 1463  ax-ie1 1507  ax-ie2 1508  ax-8 1518  ax-11 1520  ax-4 1524  ax-17 1540  ax-i9 1544  ax-ial 1548  ax-i5r 1549  ax-ext 2178  ax-resscn 7971  ax-1re 7973  ax-addrcl 7976

This theorem depends on definitions:  df-bi 117  df-nf 1475  df-sb 1777  df-clab 2183  df-cleq 2189  df-clel 2192  df-v 2765  df-in 3163  df-ss 3170  df-2 9049  df-3 9050

This theorem is referenced by:  fztpval  10158  lgsdir2lem3  15271