Theorem 7cn 9338

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

Step	Hyp	Ref	Expression
1		7re 9337	. 2 |- 7 e. RR
2	1	recni 8302	1 |- 7 e. CC

Syntax hints:   e. wcel 2205   CCcc 8141   7c7 9310

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 1496  ax-7 1497  ax-gen 1498  ax-ie1 1542  ax-ie2 1543  ax-8 1553  ax-11 1555  ax-4 1559  ax-17 1575  ax-i9 1579  ax-ial 1583  ax-i5r 1584  ax-ext 2216  ax-resscn 8235  ax-1re 8237  ax-addrcl 8240

This theorem depends on definitions:  df-bi 117  df-nf 1510  df-sb 1812  df-clab 2221  df-cleq 2227  df-clel 2230  df-in 3220  df-ss 3227  df-2 9313  df-3 9314  df-4 9315  df-5 9316  df-6 9317  df-7 9318

This theorem is referenced by:  8m1e7  9379  7p2e9  9406  7p3e10  9801  7t2e14  9835  7t4e28  9837  7t7e49  9840  cos2bnd  12471  2lgslem3d  16095