Theorem 3ex 9009

Description: 3 is a set (common case). (Contributed by David A. Wheeler, 8-Dec-2018.)

Assertion

Ref	Expression
3ex	⊢ 3 ∈ V

Proof of Theorem 3ex

Step	Hyp	Ref	Expression
1		3cn 9008	. 2 ⊢ 3 ∈ ℂ
2	1	elexi 2761	1 ⊢ 3 ∈ V

Syntax hints:   ∈ wcel 2158  Vcvv 2749  ℂcc 7823  3c3 8985

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 1457  ax-7 1458  ax-gen 1459  ax-ie1 1503  ax-ie2 1504  ax-8 1514  ax-11 1516  ax-4 1520  ax-17 1536  ax-i9 1540  ax-ial 1544  ax-i5r 1545  ax-ext 2169  ax-resscn 7917  ax-1re 7919  ax-addrcl 7922

This theorem depends on definitions:  df-bi 117  df-nf 1471  df-sb 1773  df-clab 2174  df-cleq 2180  df-clel 2183  df-v 2751  df-in 3147  df-ss 3154  df-2 8992  df-3 8993

This theorem is referenced by:  fztpval  10097  lgsdir2lem3  14727