Theorem 2ex 9208

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 9207	. 2 ⊢ 2 ∈ ℂ
2	1	elexi 2813	1 ⊢ 2 ∈ V

Syntax hints:   ∈ wcel 2200  Vcvv 2800  ℂcc 8023  2c2 9187

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 8117  ax-1re 8119  ax-addrcl 8122

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 2802  df-in 3204  df-ss 3211  df-2 9195

This theorem is referenced by:  fzprval  10310  fztpval  10311  2lgslem4  15825