Theorem 2ex 9314

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 9313	. 2 ⊢ 2 ∈ ℂ
2	1	elexi 2828	1 ⊢ 2 ∈ V

Syntax hints:   ∈ wcel 2205  Vcvv 2815  ℂcc 8130  2c2 9293

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 1496  ax-7 1497  ax-gen 1498  ax-ie1 1542  ax-ie2 1543  ax-8 1553  ax-11 1555  ax-4 1559  ax-17 1575  ax-i9 1579  ax-ial 1583  ax-i5r 1584  ax-ext 2216  ax-resscn 8224  ax-1re 8226  ax-addrcl 8229

This theorem depends on definitions:  df-bi 117  df-nf 1510  df-sb 1812  df-clab 2221  df-cleq 2227  df-clel 2230  df-v 2817  df-in 3219  df-ss 3226  df-2 9301

This theorem is referenced by:  fzprval  10423  fztpval  10424  2lgslem4  16025  eulerpathprum  16524