Theorem 8cn 9288

Description: The number 8 is complex. (Contributed by David A. Wheeler, 8-Dec-2018.)

Assertion

Ref	Expression
8cn	|- 8 e. CC

Proof of Theorem 8cn

Step	Hyp	Ref	Expression
1		8re 9287	. 2 |- 8 e. RR
2	1	recni 8251	1 |- 8 e. CC

Syntax hints:   e. wcel 2202   CCcc 8090   8c8 9259

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 2213  ax-resscn 8184  ax-1re 8186  ax-addrcl 8189

This theorem depends on definitions:  df-bi 117  df-nf 1510  df-sb 1811  df-clab 2218  df-cleq 2224  df-clel 2227  df-in 3207  df-ss 3214  df-2 9261  df-3 9262  df-4 9263  df-5 9264  df-6 9265  df-7 9266  df-8 9267

This theorem is referenced by:  9m1e8  9328  8p2e10  9751  8t2e16  9786  8t5e40  9789  cos2bnd  12401  2exp11  13089  2exp16  13090  lgsdir2lem1  15847  lgsdir2lem5  15851  2lgslem3a  15912  2lgslem3b  15913  2lgslem3c  15914  2lgslem3d  15915  2lgslem3a1  15916  2lgslem3b1  15917  2lgslem3c1  15918  2lgslem3d1  15919  2lgsoddprmlem1  15924  2lgsoddprmlem2  15925  2lgsoddprmlem3a  15926  2lgsoddprmlem3b  15927  2lgsoddprmlem3c  15928  2lgsoddprmlem3d  15929  ex-exp  16441