Theorem 7cn 9066

Description: The number 7 is complex. (Contributed by David A. Wheeler, 8-Dec-2018.)

Assertion

Ref	Expression
7cn	|- 7 e. CC

Proof of Theorem 7cn

Step	Hyp	Ref	Expression
1		7re 9065	. 2 |- 7 e. RR
2	1	recni 8031	1 |- 7 e. CC

Syntax hints:   e. wcel 2164   CCcc 7870   7c7 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 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-in 3159  df-ss 3166  df-2 9041  df-3 9042  df-4 9043  df-5 9044  df-6 9045  df-7 9046

This theorem is referenced by:  8m1e7  9107  7p2e9  9133  7p3e10  9522  7t2e14  9556  7t4e28  9558  7t7e49  9561  cos2bnd  11903