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Theorem 5cn 8913
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 8912 . 2 5 ∈ ℝ
21recni 7890 1 5 ∈ ℂ
Colors of variables: wff set class
Syntax hints:  wcel 2128  cc 7730  5c5 8887
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 1427  ax-7 1428  ax-gen 1429  ax-ie1 1473  ax-ie2 1474  ax-8 1484  ax-11 1486  ax-4 1490  ax-17 1506  ax-i9 1510  ax-ial 1514  ax-i5r 1515  ax-ext 2139  ax-resscn 7824  ax-1re 7826  ax-addrcl 7829
This theorem depends on definitions:  df-bi 116  df-nf 1441  df-sb 1743  df-clab 2144  df-cleq 2150  df-clel 2153  df-in 3108  df-ss 3115  df-2 8892  df-3 8893  df-4 8894  df-5 8895
This theorem is referenced by:  6m1e5  8956  5p2e7  8979  5p3e8  8980  5p4e9  8981  5p5e10  9365  5t2e10  9394  5recm6rec  9438  ef01bndlem  11653  ex-fac  13304
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