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Theorem 8cn 8818
 Description: The number 8 is complex. (Contributed by David A. Wheeler, 8-Dec-2018.)
Assertion
Ref Expression
8cn 8 ∈ ℂ

Proof of Theorem 8cn
StepHypRef Expression
1 8re 8817 . 2 8 ∈ ℝ
21recni 7790 1 8 ∈ ℂ
 Colors of variables: wff set class Syntax hints:   ∈ wcel 1480  ℂcc 7630  8c8 8789 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 7724  ax-1re 7726  ax-addrcl 7729 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 8791  df-3 8792  df-4 8793  df-5 8794  df-6 8795  df-7 8796  df-8 8797 This theorem is referenced by:  9m1e8  8858  8p2e10  9273  8t2e16  9308  8t5e40  9311  cos2bnd  11478  ex-exp  13044
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