Theorem 2ex 9190

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 9189	. 2 ⊢ 2 ∈ ℂ
2	1	elexi 2812	1 ⊢ 2 ∈ V

Syntax hints:   ∈ wcel 2200  Vcvv 2799  ℂcc 8005  2c2 9169

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 1493  ax-7 1494  ax-gen 1495  ax-ie1 1539  ax-ie2 1540  ax-8 1550  ax-11 1552  ax-4 1556  ax-17 1572  ax-i9 1576  ax-ial 1580  ax-i5r 1581  ax-ext 2211  ax-resscn 8099  ax-1re 8101  ax-addrcl 8104

This theorem depends on definitions:  df-bi 117  df-nf 1507  df-sb 1809  df-clab 2216  df-cleq 2222  df-clel 2225  df-v 2801  df-in 3203  df-ss 3210  df-2 9177

This theorem is referenced by:  fzprval  10286  fztpval  10287  2lgslem4  15790