Theorem 6cn 9315

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 9314	. 2 |- 6 e. RR
2	1	recni 8282	1 |- 6 e. CC

Syntax hints:   e. wcel 2203   CCcc 8121   6c6 9288

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 2214  ax-resscn 8215  ax-1re 8217  ax-addrcl 8220

This theorem depends on definitions:  df-bi 117  df-nf 1510  df-sb 1812  df-clab 2219  df-cleq 2225  df-clel 2228  df-in 3216  df-ss 3223  df-2 9292  df-3 9293  df-4 9294  df-5 9295  df-6 9296

This theorem is referenced by:  7m1e6  9357  6p2e8  9383  6p3e9  9384  halfpm6th  9454  6p4e10  9776  6t2e12  9808  6t3e18  9809  6t5e30  9811  5recm6rec  9848  efi4p  12396  ef01bndlem  12435  cos01bnd  12437  3lcm2e6woprm  12776  6lcm4e12  12777  2exp8  13126  2exp11  13127  2exp16  13128  sincos6thpi  15694  sincos3rdpi  15695  2lgslem3d  15956  2lgsoddprmlem3d  15970  ex-exp  16482  ex-bc  16484  ex-gcd  16486