Theorem 7cn 9194

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 9193	. 2 |- 7 e. RR
2	1	recni 8158	1 |- 7 e. CC

Syntax hints:   e. wcel 2200   CCcc 7997   7c7 9166

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 1493  ax-7 1494  ax-gen 1495  ax-ie1 1539  ax-ie2 1540  ax-8 1550  ax-11 1552  ax-4 1556  ax-17 1572  ax-i9 1576  ax-ial 1580  ax-i5r 1581  ax-ext 2211  ax-resscn 8091  ax-1re 8093  ax-addrcl 8096

This theorem depends on definitions:  df-bi 117  df-nf 1507  df-sb 1809  df-clab 2216  df-cleq 2222  df-clel 2225  df-in 3203  df-ss 3210  df-2 9169  df-3 9170  df-4 9171  df-5 9172  df-6 9173  df-7 9174

This theorem is referenced by:  8m1e7  9235  7p2e9  9262  7p3e10  9652  7t2e14  9686  7t4e28  9688  7t7e49  9691  cos2bnd  12271  2lgslem3d  15775