Theorem 3ex 8997

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 8996	. 2 ⊢ 3 ∈ ℂ
2	1	elexi 2751	1 ⊢ 3 ∈ V

Syntax hints:   ∈ wcel 2148  Vcvv 2739  ℂcc 7811  3c3 8973

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 1447  ax-7 1448  ax-gen 1449  ax-ie1 1493  ax-ie2 1494  ax-8 1504  ax-11 1506  ax-4 1510  ax-17 1526  ax-i9 1530  ax-ial 1534  ax-i5r 1535  ax-ext 2159  ax-resscn 7905  ax-1re 7907  ax-addrcl 7910

This theorem depends on definitions:  df-bi 117  df-nf 1461  df-sb 1763  df-clab 2164  df-cleq 2170  df-clel 2173  df-v 2741  df-in 3137  df-ss 3144  df-2 8980  df-3 8981

This theorem is referenced by:  fztpval  10085  lgsdir2lem3  14516