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Theorem 7cn 9005
Description: The number 7 is complex. (Contributed by David A. Wheeler, 8-Dec-2018.)
Assertion
Ref Expression
7cn  |-  7  e.  CC

Proof of Theorem 7cn
StepHypRef Expression
1 7re 9004 . 2  |-  7  e.  RR
21recni 7971 1  |-  7  e.  CC
Colors of variables: wff set class
Syntax hints:    e. wcel 2148   CCcc 7811   7c7 8977
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 7905  ax-1re 7907  ax-addrcl 7910
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 3137  df-ss 3144  df-2 8980  df-3 8981  df-4 8982  df-5 8983  df-6 8984  df-7 8985
This theorem is referenced by:  8m1e7  9046  7p2e9  9072  7p3e10  9460  7t2e14  9494  7t4e28  9496  7t7e49  9499  cos2bnd  11770
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