Theorem 6cn 9218

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 9217	. 2 |- 6 e. RR
2	1	recni 8184	1 |- 6 e. CC

Syntax hints:   e. wcel 2200   CCcc 8023   6c6 9191

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 8117  ax-1re 8119  ax-addrcl 8122

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 3204  df-ss 3211  df-2 9195  df-3 9196  df-4 9197  df-5 9198  df-6 9199

This theorem is referenced by:  7m1e6  9260  6p2e8  9286  6p3e9  9287  halfpm6th  9357  6p4e10  9675  6t2e12  9707  6t3e18  9708  6t5e30  9710  5recm6rec  9747  efi4p  12271  ef01bndlem  12310  cos01bnd  12312  3lcm2e6woprm  12651  6lcm4e12  12652  2exp8  13001  2exp11  13002  2exp16  13003  sincos6thpi  15559  sincos3rdpi  15560  2lgslem3d  15818  2lgsoddprmlem3d  15832  ex-exp  16273  ex-bc  16275  ex-gcd  16277