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Theorem 7cn 8933
Description: The number 7 is complex. (Contributed by David A. Wheeler, 8-Dec-2018.)
Assertion
Ref Expression
7cn 7 ∈ ℂ

Proof of Theorem 7cn
StepHypRef Expression
1 7re 8932 . 2 7 ∈ ℝ
21recni 7903 1 7 ∈ ℂ
Colors of variables: wff set class
Syntax hints:  wcel 2135  cc 7743  7c7 8905
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 1434  ax-7 1435  ax-gen 1436  ax-ie1 1480  ax-ie2 1481  ax-8 1491  ax-11 1493  ax-4 1497  ax-17 1513  ax-i9 1517  ax-ial 1521  ax-i5r 1522  ax-ext 2146  ax-resscn 7837  ax-1re 7839  ax-addrcl 7842
This theorem depends on definitions:  df-bi 116  df-nf 1448  df-sb 1750  df-clab 2151  df-cleq 2157  df-clel 2160  df-in 3118  df-ss 3125  df-2 8908  df-3 8909  df-4 8910  df-5 8911  df-6 8912  df-7 8913
This theorem is referenced by:  8m1e7  8974  7p2e9  9000  7p3e10  9388  7t2e14  9422  7t4e28  9424  7t7e49  9427  cos2bnd  11691
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