Theorem 6cn 9225

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 9224	. 2 |- 6 e. RR
2	1	recni 8191	1 |- 6 e. CC

Syntax hints:   e. wcel 2202   CCcc 8030   6c6 9198

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 1495  ax-7 1496  ax-gen 1497  ax-ie1 1541  ax-ie2 1542  ax-8 1552  ax-11 1554  ax-4 1558  ax-17 1574  ax-i9 1578  ax-ial 1582  ax-i5r 1583  ax-ext 2213  ax-resscn 8124  ax-1re 8126  ax-addrcl 8129

This theorem depends on definitions:  df-bi 117  df-nf 1509  df-sb 1811  df-clab 2218  df-cleq 2224  df-clel 2227  df-in 3206  df-ss 3213  df-2 9202  df-3 9203  df-4 9204  df-5 9205  df-6 9206

This theorem is referenced by:  7m1e6  9267  6p2e8  9293  6p3e9  9294  halfpm6th  9364  6p4e10  9682  6t2e12  9714  6t3e18  9715  6t5e30  9717  5recm6rec  9754  efi4p  12280  ef01bndlem  12319  cos01bnd  12321  3lcm2e6woprm  12660  6lcm4e12  12661  2exp8  13010  2exp11  13011  2exp16  13012  sincos6thpi  15569  sincos3rdpi  15570  2lgslem3d  15828  2lgsoddprmlem3d  15842  ex-exp  16340  ex-bc  16342  ex-gcd  16344