Theorem 2ex 9054

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 9053	. 2 ⊢ 2 ∈ ℂ
2	1	elexi 2772	1 ⊢ 2 ∈ V

Syntax hints:   ∈ wcel 2164  Vcvv 2760  ℂcc 7870  2c2 9033

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 1458  ax-7 1459  ax-gen 1460  ax-ie1 1504  ax-ie2 1505  ax-8 1515  ax-11 1517  ax-4 1521  ax-17 1537  ax-i9 1541  ax-ial 1545  ax-i5r 1546  ax-ext 2175  ax-resscn 7964  ax-1re 7966  ax-addrcl 7969

This theorem depends on definitions:  df-bi 117  df-nf 1472  df-sb 1774  df-clab 2180  df-cleq 2186  df-clel 2189  df-v 2762  df-in 3159  df-ss 3166  df-2 9041

This theorem is referenced by:  fzprval  10148  fztpval  10149