Theorem 6cn 9066

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 9065	. 2 |- 6 e. RR
2	1	recni 8033	1 |- 6 e. CC

Syntax hints:   e. wcel 2164   CCcc 7872   6c6 9039

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 1458  ax-7 1459  ax-gen 1460  ax-ie1 1504  ax-ie2 1505  ax-8 1515  ax-11 1517  ax-4 1521  ax-17 1537  ax-i9 1541  ax-ial 1545  ax-i5r 1546  ax-ext 2175  ax-resscn 7966  ax-1re 7968  ax-addrcl 7971

This theorem depends on definitions:  df-bi 117  df-nf 1472  df-sb 1774  df-clab 2180  df-cleq 2186  df-clel 2189  df-in 3160  df-ss 3167  df-2 9043  df-3 9044  df-4 9045  df-5 9046  df-6 9047

This theorem is referenced by:  7m1e6  9108  6p2e8  9134  6p3e9  9135  halfpm6th  9205  6p4e10  9522  6t2e12  9554  6t3e18  9555  6t5e30  9557  5recm6rec  9594  efi4p  11863  ef01bndlem  11902  cos01bnd  11904  3lcm2e6woprm  12227  6lcm4e12  12228  sincos6thpi  15018  sincos3rdpi  15019  2lgslem3d  15253  2lgsoddprmlem3d  15267  ex-exp  15289  ex-bc  15291  ex-gcd  15293