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Theorem 5cn 8070
 Description: The number 5 is complex. (Contributed by David A. Wheeler, 8-Dec-2018.)
Assertion
Ref Expression
5cn 5 ∈ ℂ

Proof of Theorem 5cn
StepHypRef Expression
1 5re 8069 . 2 5 ∈ ℝ
21recni 7097 1 5 ∈ ℂ
 Colors of variables: wff set class Syntax hints:   ∈ wcel 1409  ℂcc 6945  5c5 8043 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  df-5 8052 This theorem is referenced by:  5p2e7  8129  5p3e8  8130  5p4e9  8131  5p5e10  8497  5t2e10  8526  ex-fac  10281
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