Theorem 6cn 9319

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 9318	. 2 ⊢ 6 ∈ ℝ
2	1	recni 8286	1 ⊢ 6 ∈ ℂ

Syntax hints:   ∈ wcel 2203  ℂcc 8125  6c6 9292

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 2214  ax-resscn 8219  ax-1re 8221  ax-addrcl 8224

This theorem depends on definitions:  df-bi 117  df-nf 1510  df-sb 1812  df-clab 2219  df-cleq 2225  df-clel 2228  df-in 3217  df-ss 3224  df-2 9296  df-3 9297  df-4 9298  df-5 9299  df-6 9300

This theorem is referenced by:  7m1e6  9361  6p2e8  9387  6p3e9  9388  halfpm6th  9458  6p4e10  9780  6t2e12  9812  6t3e18  9813  6t5e30  9815  5recm6rec  9852  efi4p  12403  ef01bndlem  12442  cos01bnd  12444  3lcm2e6woprm  12783  6lcm4e12  12784  2exp8  13133  2exp11  13134  2exp16  13135  sincos6thpi  15707  sincos3rdpi  15708  2lgslem3d  15969  2lgsoddprmlem3d  15983  ex-exp  16495  ex-bc  16497  ex-gcd  16499