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Theorem 8cn 8994
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 8993 . 2 8 ∈ ℝ
21recni 7960 1 8 ∈ ℂ
Colors of variables: wff set class
Syntax hints:  wcel 2148  cc 7800  8c8 8965
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106  ax-ia2 107  ax-ia3 108  ax-5 1447  ax-7 1448  ax-gen 1449  ax-ie1 1493  ax-ie2 1494  ax-8 1504  ax-11 1506  ax-4 1510  ax-17 1526  ax-i9 1530  ax-ial 1534  ax-i5r 1535  ax-ext 2159  ax-resscn 7894  ax-1re 7896  ax-addrcl 7899
This theorem depends on definitions:  df-bi 117  df-nf 1461  df-sb 1763  df-clab 2164  df-cleq 2170  df-clel 2173  df-in 3135  df-ss 3142  df-2 8967  df-3 8968  df-4 8969  df-5 8970  df-6 8971  df-7 8972  df-8 8973
This theorem is referenced by:  9m1e8  9034  8p2e10  9452  8t2e16  9487  8t5e40  9490  cos2bnd  11752  lgsdir2lem1  14096  lgsdir2lem5  14100  ex-exp  14135
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