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Theorem 5cn 8500
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 8499 . 2 5 ∈ ℝ
21recni 7498 1 5 ∈ ℂ
Colors of variables: wff set class
Syntax hints:  wcel 1438  cc 7346  5c5 8474
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 104  ax-ia2 105  ax-ia3 106  ax-5 1381  ax-7 1382  ax-gen 1383  ax-ie1 1427  ax-ie2 1428  ax-8 1440  ax-11 1442  ax-4 1445  ax-17 1464  ax-i9 1468  ax-ial 1472  ax-i5r 1473  ax-ext 2070  ax-resscn 7435  ax-1re 7437  ax-addrcl 7440
This theorem depends on definitions:  df-bi 115  df-nf 1395  df-sb 1693  df-clab 2075  df-cleq 2081  df-clel 2084  df-in 3005  df-ss 3012  df-2 8479  df-3 8480  df-4 8481  df-5 8482
This theorem is referenced by:  5p2e7  8560  5p3e8  8561  5p4e9  8562  5p5e10  8945  5t2e10  8974  ef01bndlem  11043  ex-fac  11610
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