Theorem 4cn 7993

Description: The number 4 is a complex number. (Contributed by David A. Wheeler, 7-Jul-2016.)

Assertion

Ref	Expression
4cn	|- 4 e. CC

Proof of Theorem 4cn

Step	Hyp	Ref	Expression
1		4re 7992	. 2 |- 4 e. RR
2	1	recni 7039	1 |- 4 e. CC

Syntax hints:   e. wcel 1393   CCcc 6887   4c4 7966

This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101  ax-5 1336  ax-7 1337  ax-gen 1338  ax-ie1 1382  ax-ie2 1383  ax-8 1395  ax-11 1397  ax-4 1400  ax-17 1419  ax-i9 1423  ax-ial 1427  ax-i5r 1428  ax-ext 2022  ax-resscn 6976  ax-1re 6978  ax-addrcl 6981

This theorem depends on definitions:  df-bi 110  df-nf 1350  df-sb 1646  df-clab 2027  df-cleq 2033  df-clel 2036  df-in 2924  df-ss 2931  df-2 7973  df-3 7974  df-4 7975

This theorem is referenced by:  4p2e6  8054  4p3e7  8055  4p4e8  8056  5p5e10  8060  4t2e8  8073  4d2e2  8076  8th4div3  8144  div4p1lem1div2  8177  4t4e16  8440  fzo0to42pr  9076  fldiv4p1lem1div2  9147  resqrexlemover  9608  resqrexlemcalc1  9612  resqrexlemcalc3  9614