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Theorem 4cn 8068
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
StepHypRef Expression
1 4re 8067 . 2  |-  4  e.  RR
21recni 7097 1  |-  4  e.  CC
Colors of variables: wff set class
Syntax hints:    e. wcel 1409   CCcc 6945   4c4 8042
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 103  ax-ia2 104  ax-ia3 105  ax-5 1352  ax-7 1353  ax-gen 1354  ax-ie1 1398  ax-ie2 1399  ax-8 1411  ax-11 1413  ax-4 1416  ax-17 1435  ax-i9 1439  ax-ial 1443  ax-i5r 1444  ax-ext 2038  ax-resscn 7034  ax-1re 7036  ax-addrcl 7039
This theorem depends on definitions:  df-bi 114  df-nf 1366  df-sb 1662  df-clab 2043  df-cleq 2049  df-clel 2052  df-in 2952  df-ss 2959  df-2 8049  df-3 8050  df-4 8051
This theorem is referenced by:  4p2e6  8126  4p3e7  8127  4p4e8  8128  4t2e8  8141  4d2e2  8143  8th4div3  8201  div4p1lem1div2  8235  5p5e10  8497  4t4e16  8525  6t5e30  8533  fzo0to42pr  9178  fldiv4p1lem1div2  9255  sqoddm1div8  9569  4bc3eq4  9641  4bc2eq6  9642  resqrexlemover  9837  resqrexlemcalc1  9841  resqrexlemcalc3  9843  flodddiv4  10246  ex-fac  10281  ex-bc  10282
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