Theorem 6cn 9117

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 9116	. 2 ⊢ 6 ∈ ℝ
2	1	recni 8083	1 ⊢ 6 ∈ ℂ

Syntax hints:   ∈ wcel 2175  ℂcc 7922  6c6 9090

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 1469  ax-7 1470  ax-gen 1471  ax-ie1 1515  ax-ie2 1516  ax-8 1526  ax-11 1528  ax-4 1532  ax-17 1548  ax-i9 1552  ax-ial 1556  ax-i5r 1557  ax-ext 2186  ax-resscn 8016  ax-1re 8018  ax-addrcl 8021

This theorem depends on definitions:  df-bi 117  df-nf 1483  df-sb 1785  df-clab 2191  df-cleq 2197  df-clel 2200  df-in 3171  df-ss 3178  df-2 9094  df-3 9095  df-4 9096  df-5 9097  df-6 9098

This theorem is referenced by:  7m1e6  9159  6p2e8  9185  6p3e9  9186  halfpm6th  9256  6p4e10  9574  6t2e12  9606  6t3e18  9607  6t5e30  9609  5recm6rec  9646  efi4p  11970  ef01bndlem  12009  cos01bnd  12011  3lcm2e6woprm  12350  6lcm4e12  12351  2exp8  12700  2exp11  12701  2exp16  12702  sincos6thpi  15256  sincos3rdpi  15257  2lgslem3d  15515  2lgsoddprmlem3d  15529  ex-exp  15596  ex-bc  15598  ex-gcd  15600