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Theorem 5cn 8958
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 8957 . 2 5 ∈ ℝ
21recni 7932 1 5 ∈ ℂ
Colors of variables: wff set class
Syntax hints:  wcel 2141  cc 7772  5c5 8932
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 1440  ax-7 1441  ax-gen 1442  ax-ie1 1486  ax-ie2 1487  ax-8 1497  ax-11 1499  ax-4 1503  ax-17 1519  ax-i9 1523  ax-ial 1527  ax-i5r 1528  ax-ext 2152  ax-resscn 7866  ax-1re 7868  ax-addrcl 7871
This theorem depends on definitions:  df-bi 116  df-nf 1454  df-sb 1756  df-clab 2157  df-cleq 2163  df-clel 2166  df-in 3127  df-ss 3134  df-2 8937  df-3 8938  df-4 8939  df-5 8940
This theorem is referenced by:  6m1e5  9001  5p2e7  9024  5p3e8  9025  5p4e9  9026  5p5e10  9413  5t2e10  9442  5recm6rec  9486  ef01bndlem  11719  lgsdir2lem1  13723  ex-fac  13763
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