Theorem 2ex 9220

Description: 2 is a set (common case). (Contributed by David A. Wheeler, 8-Dec-2018.)

Assertion

Ref	Expression
2ex	⊢ 2 ∈ V

Proof of Theorem 2ex

Step	Hyp	Ref	Expression
1		2cn 9219	. 2 ⊢ 2 ∈ ℂ
2	1	elexi 2814	1 ⊢ 2 ∈ V

Syntax hints:   ∈ wcel 2201  Vcvv 2801  ℂcc 8035  2c2 9199

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 2212  ax-resscn 8129  ax-1re 8131  ax-addrcl 8134

This theorem depends on definitions:  df-bi 117  df-nf 1509  df-sb 1810  df-clab 2217  df-cleq 2223  df-clel 2226  df-v 2803  df-in 3205  df-ss 3212  df-2 9207

This theorem is referenced by:  fzprval  10322  fztpval  10323  2lgslem4  15861  eulerpathprum  16360