Theorem 6cn 9324

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 9323	. 2 |- 6 e. RR
2	1	recni 8291	1 |- 6 e. CC

Syntax hints:   e. wcel 2205   CCcc 8130   6c6 9297

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 1496  ax-7 1497  ax-gen 1498  ax-ie1 1542  ax-ie2 1543  ax-8 1553  ax-11 1555  ax-4 1559  ax-17 1575  ax-i9 1579  ax-ial 1583  ax-i5r 1584  ax-ext 2216  ax-resscn 8224  ax-1re 8226  ax-addrcl 8229

This theorem depends on definitions:  df-bi 117  df-nf 1510  df-sb 1812  df-clab 2221  df-cleq 2227  df-clel 2230  df-in 3219  df-ss 3226  df-2 9301  df-3 9302  df-4 9303  df-5 9304  df-6 9305

This theorem is referenced by:  7m1e6  9366  6p2e8  9392  6p3e9  9393  halfpm6th  9463  6p4e10  9786  6t2e12  9818  6t3e18  9819  6t5e30  9821  5recm6rec  9858  efi4p  12411  ef01bndlem  12450  cos01bnd  12452  3lcm2e6woprm  12791  6lcm4e12  12792  2exp8  13141  2exp11  13142  2exp16  13143  sincos6thpi  15756  sincos3rdpi  15757  2lgslem3d  16018  2lgsoddprmlem3d  16032  ex-exp  16544  ex-bc  16546  ex-gcd  16548