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Theorem 7cn 8772
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 8771 . 2 7 ∈ ℝ
21recni 7746 1 7 ∈ ℂ
Colors of variables: wff set class
Syntax hints:  wcel 1465  cc 7586  7c7 8744
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 1408  ax-7 1409  ax-gen 1410  ax-ie1 1454  ax-ie2 1455  ax-8 1467  ax-11 1469  ax-4 1472  ax-17 1491  ax-i9 1495  ax-ial 1499  ax-i5r 1500  ax-ext 2099  ax-resscn 7680  ax-1re 7682  ax-addrcl 7685
This theorem depends on definitions:  df-bi 116  df-nf 1422  df-sb 1721  df-clab 2104  df-cleq 2110  df-clel 2113  df-in 3047  df-ss 3054  df-2 8747  df-3 8748  df-4 8749  df-5 8750  df-6 8751  df-7 8752
This theorem is referenced by:  8m1e7  8813  7p2e9  8839  7p3e10  9224  7t2e14  9258  7t4e28  9260  7t7e49  9263  cos2bnd  11394
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