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Theorem 3cn 8390
Description: The number 3 is a complex number. (Contributed by FL, 17-Oct-2010.)
Assertion
Ref Expression
3cn  |-  3  e.  CC

Proof of Theorem 3cn
StepHypRef Expression
1 3re 8389 . 2  |-  3  e.  RR
21recni 7402 1  |-  3  e.  CC
Colors of variables: wff set class
Syntax hints:    e. wcel 1434   CCcc 7250   3c3 8366
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 104  ax-ia2 105  ax-ia3 106  ax-5 1377  ax-7 1378  ax-gen 1379  ax-ie1 1423  ax-ie2 1424  ax-8 1436  ax-11 1438  ax-4 1441  ax-17 1460  ax-i9 1464  ax-ial 1468  ax-i5r 1469  ax-ext 2065  ax-resscn 7339  ax-1re 7341  ax-addrcl 7344
This theorem depends on definitions:  df-bi 115  df-nf 1391  df-sb 1688  df-clab 2070  df-cleq 2076  df-clel 2079  df-in 2990  df-ss 2997  df-2 8374  df-3 8375
This theorem is referenced by:  3ex  8391  3m1e2  8434  3p2e5  8449  3p3e6  8450  4p4e8  8453  5p4e9  8456  3t1e3  8463  3t2e6  8464  3t3e9  8465  8th4div3  8526  halfpm6th  8527  6p4e10  8842  9t8e72  8898  fzo0to42pr  9519  sq3  9887  expnass  9895  fac3  9974  4bc3eq4  10015  3dvdsdec  10644  3dvds2dec  10645  3lcm2e6woprm  10847  ex-dvds  10999  ex-gcd  11000
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