Theorem 5cn 9064

Description: The number 5 is complex. (Contributed by David A. Wheeler, 8-Dec-2018.)

Assertion

Ref	Expression
5cn	⊢ 5 ∈ ℂ

Proof of Theorem 5cn

Step	Hyp	Ref	Expression
1		5re 9063	. 2 ⊢ 5 ∈ ℝ
2	1	recni 8033	1 ⊢ 5 ∈ ℂ

Syntax hints:   ∈ wcel 2164  ℂcc 7872  5c5 9038

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 7966  ax-1re 7968  ax-addrcl 7971

This theorem depends on definitions:  df-bi 117  df-nf 1472  df-sb 1774  df-clab 2180  df-cleq 2186  df-clel 2189  df-in 3160  df-ss 3167  df-2 9043  df-3 9044  df-4 9045  df-5 9046

This theorem is referenced by:  6m1e5  9107  5p2e7  9131  5p3e8  9132  5p4e9  9133  5p5e10  9521  5t2e10  9550  5recm6rec  9594  ef01bndlem  11902  lgsdir2lem1  15185  2lgslem3c  15252  2lgsoddprmlem3d  15267  ex-fac  15290