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Theorem 9cn 8564
Description: The number 9 is complex. (Contributed by David A. Wheeler, 8-Dec-2018.)
Assertion
Ref Expression
9cn 9 ∈ ℂ

Proof of Theorem 9cn
StepHypRef Expression
1 9re 8563 . 2 9 ∈ ℝ
21recni 7554 1 9 ∈ ℂ
Colors of variables: wff set class
Syntax hints:  wcel 1439  cc 7402  9c9 8534
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-5 1382  ax-7 1383  ax-gen 1384  ax-ie1 1428  ax-ie2 1429  ax-8 1441  ax-11 1443  ax-4 1446  ax-17 1465  ax-i9 1469  ax-ial 1473  ax-i5r 1474  ax-ext 2071  ax-resscn 7491  ax-1re 7493  ax-addrcl 7496
This theorem depends on definitions:  df-bi 116  df-nf 1396  df-sb 1694  df-clab 2076  df-cleq 2082  df-clel 2085  df-in 3006  df-ss 3013  df-2 8535  df-3 8536  df-4 8537  df-5 8538  df-6 8539  df-7 8540  df-8 8541  df-9 8542
This theorem is referenced by:  10m1e9  9026  9t2e18  9052  9t8e72  9058  9t9e81  9059  9t11e99  9060  0.999...  10969  cos2bnd  11105  3dvdsdec  11197  3dvds2dec  11198
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