Theorem 6cn 9336

Description: The number 6 is complex. (Contributed by David A. Wheeler, 8-Dec-2018.)

Assertion

Ref	Expression
6cn	⊢ 6 ∈ ℂ

Proof of Theorem 6cn

Step	Hyp	Ref	Expression
1		6re 9335	. 2 ⊢ 6 ∈ ℝ
2	1	recni 8302	1 ⊢ 6 ∈ ℂ

Syntax hints:   ∈ wcel 2205  ℂcc 8141  6c6 9309

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

This theorem is referenced by:  7m1e6  9378  6p2e8  9404  6p3e9  9405  halfpm6th  9475  6p4e10  9798  6t2e12  9830  6t3e18  9831  6t5e30  9833  5recm6rec  9870  efi4p  12428  ef01bndlem  12467  cos01bnd  12469  3lcm2e6woprm  12808  6lcm4e12  12809  2exp8  13158  2exp11  13159  2exp16  13160  sincos6thpi  15833  sincos3rdpi  15834  2lgslem3d  16095  2lgsoddprmlem3d  16109  ex-exp  16621  ex-bc  16623  ex-gcd  16625