Theorem 3ex 9218

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

Assertion

Ref	Expression
3ex	⊢ 3 ∈ V

Proof of Theorem 3ex

Step	Hyp	Ref	Expression
1		3cn 9217	. 2 ⊢ 3 ∈ ℂ
2	1	elexi 2815	1 ⊢ 3 ∈ V

Syntax hints:   ∈ wcel 2202  Vcvv 2802  ℂcc 8029  3c3 9194

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 1495  ax-7 1496  ax-gen 1497  ax-ie1 1541  ax-ie2 1542  ax-8 1552  ax-11 1554  ax-4 1558  ax-17 1574  ax-i9 1578  ax-ial 1582  ax-i5r 1583  ax-ext 2213  ax-resscn 8123  ax-1re 8125  ax-addrcl 8128

This theorem depends on definitions:  df-bi 117  df-nf 1509  df-sb 1811  df-clab 2218  df-cleq 2224  df-clel 2227  df-v 2804  df-in 3206  df-ss 3213  df-2 9201  df-3 9202

This theorem is referenced by:  fztpval  10317  lgsdir2lem3  15758