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Theorem 5cn 8800
Description: The number 5 is complex. (Contributed by David A. Wheeler, 8-Dec-2018.)
Assertion
Ref Expression
5cn  |-  5  e.  CC

Proof of Theorem 5cn
StepHypRef Expression
1 5re 8799 . 2  |-  5  e.  RR
21recni 7778 1  |-  5  e.  CC
Colors of variables: wff set class
Syntax hints:    e. wcel 1480   CCcc 7618   5c5 8774
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-5 1423  ax-7 1424  ax-gen 1425  ax-ie1 1469  ax-ie2 1470  ax-8 1482  ax-11 1484  ax-4 1487  ax-17 1506  ax-i9 1510  ax-ial 1514  ax-i5r 1515  ax-ext 2121  ax-resscn 7712  ax-1re 7714  ax-addrcl 7717
This theorem depends on definitions:  df-bi 116  df-nf 1437  df-sb 1736  df-clab 2126  df-cleq 2132  df-clel 2135  df-in 3077  df-ss 3084  df-2 8779  df-3 8780  df-4 8781  df-5 8782
This theorem is referenced by:  6m1e5  8843  5p2e7  8866  5p3e8  8867  5p4e9  8868  5p5e10  9252  5t2e10  9281  5recm6rec  9325  ef01bndlem  11463  ex-fac  12940
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