Theorem 6cn 9369

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 9368	. 2 |- 6 e. RR
2	1	recni 8332	1 |- 6 e. CC

Syntax hints:   e. wcel 2209   CCcc 8171   6c6 9342

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 1500  ax-7 1501  ax-gen 1502  ax-ie1 1546  ax-ie2 1547  ax-8 1557  ax-11 1559  ax-4 1563  ax-17 1579  ax-i9 1583  ax-ial 1587  ax-i5r 1588  ax-ext 2220  ax-resscn 8265  ax-1re 8267  ax-addrcl 8270

This theorem depends on definitions:  df-bi 117  df-nf 1514  df-sb 1816  df-clab 2225  df-cleq 2231  df-clel 2234  df-in 3226  df-ss 3233  df-2 9346  df-3 9347  df-4 9348  df-5 9349  df-6 9350

This theorem is referenced by:  7m1e6  9411  6p2e8  9437  6p3e9  9438  halfpm6th  9508  6p4e10  9831  6t2e12  9863  6t3e18  9864  6t5e30  9866  5recm6rec  9903  efi4p  12467  ef01bndlem  12506  cos01bnd  12508  3lcm2e6woprm  12847  6lcm4e12  12848  2exp8  13197  2exp11  13198  2exp16  13199  sincos6thpi  15926  sincos3rdpi  15927  log2ublem3  16068  log2ublog2  16069  2lgslem3d  16198  2lgsoddprmlem3d  16212  ex-exp  16724  ex-bc  16726  ex-gcd  16728