Theorem 2ex 9115

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 9114	. 2 ⊢ 2 ∈ ℂ
2	1	elexi 2785	1 ⊢ 2 ∈ V

Syntax hints:   ∈ wcel 2177  Vcvv 2773  ℂcc 7930  2c2 9094

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 1471  ax-7 1472  ax-gen 1473  ax-ie1 1517  ax-ie2 1518  ax-8 1528  ax-11 1530  ax-4 1534  ax-17 1550  ax-i9 1554  ax-ial 1558  ax-i5r 1559  ax-ext 2188  ax-resscn 8024  ax-1re 8026  ax-addrcl 8029

This theorem depends on definitions:  df-bi 117  df-nf 1485  df-sb 1787  df-clab 2193  df-cleq 2199  df-clel 2202  df-v 2775  df-in 3173  df-ss 3180  df-2 9102

This theorem is referenced by:  fzprval  10211  fztpval  10212  2lgslem4  15624