Theorem 7cn 8123

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 8122	. 2 |- 7 e. RR
2	1	recni 7131	1 |- 7 e. CC

Syntax hints:   e. wcel 1433   CCcc 6979   7c7 8094

This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 104  ax-ia2 105  ax-ia3 106  ax-5 1376  ax-7 1377  ax-gen 1378  ax-ie1 1422  ax-ie2 1423  ax-8 1435  ax-11 1437  ax-4 1440  ax-17 1459  ax-i9 1463  ax-ial 1467  ax-i5r 1468  ax-ext 2063  ax-resscn 7068  ax-1re 7070  ax-addrcl 7073

This theorem depends on definitions:  df-bi 115  df-nf 1390  df-sb 1686  df-clab 2068  df-cleq 2074  df-clel 2077  df-in 2979  df-ss 2986  df-2 8098  df-3 8099  df-4 8100  df-5 8101  df-6 8102  df-7 8103

This theorem is referenced by:  7p2e9  8183  7p3e10  8551  7t2e14  8585  7t4e28  8587  7t7e49  8590