Theorem 6cn 9339

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 9338	. 2 |- 6 e. RR
2	1	recni 8302	1 |- 6 e. CC

Syntax hints:   e. wcel 2205   CCcc 8141   6c6 9312

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 8235  ax-1re 8237  ax-addrcl 8240

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 3220  df-ss 3227  df-2 9316  df-3 9317  df-4 9318  df-5 9319  df-6 9320

This theorem is referenced by:  7m1e6  9381  6p2e8  9407  6p3e9  9408  halfpm6th  9478  6p4e10  9801  6t2e12  9833  6t3e18  9834  6t5e30  9836  5recm6rec  9873  efi4p  12431  ef01bndlem  12470  cos01bnd  12472  3lcm2e6woprm  12811  6lcm4e12  12812  2exp8  13161  2exp11  13162  2exp16  13163  sincos6thpi  15836  sincos3rdpi  15837  2lgslem3d  16098  2lgsoddprmlem3d  16112  ex-exp  16624  ex-bc  16626  ex-gcd  16628