Theorem 6cn 9031

Description: The number 6 is complex. (Contributed by David A. Wheeler, 8-Dec-2018.)

Assertion

Ref	Expression
6cn	|- 6 e. CC

Proof of Theorem 6cn

Step	Hyp	Ref	Expression
1		6re 9030	. 2 |- 6 e. RR
2	1	recni 7999	1 |- 6 e. CC

Syntax hints:   e. wcel 2160   CCcc 7839   6c6 9004

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 2171  ax-resscn 7933  ax-1re 7935  ax-addrcl 7938

This theorem depends on definitions:  df-bi 117  df-nf 1472  df-sb 1774  df-clab 2176  df-cleq 2182  df-clel 2185  df-in 3150  df-ss 3157  df-2 9008  df-3 9009  df-4 9010  df-5 9011  df-6 9012

This theorem is referenced by:  7m1e6  9073  6p2e8  9098  6p3e9  9099  halfpm6th  9169  6p4e10  9485  6t2e12  9517  6t3e18  9518  6t5e30  9520  5recm6rec  9557  efi4p  11757  ef01bndlem  11796  cos01bnd  11798  3lcm2e6woprm  12118  6lcm4e12  12119  sincos6thpi  14720  sincos3rdpi  14721  2lgsoddprmlem3d  14916  ex-exp  14937  ex-bc  14939  ex-gcd  14941