Theorem 6cn 9224

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 9223	. 2 ⊢ 6 ∈ ℝ
2	1	recni 8190	1 ⊢ 6 ∈ ℂ

Syntax hints:   ∈ wcel 2202  ℂcc 8029  6c6 9197

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 1495  ax-7 1496  ax-gen 1497  ax-ie1 1541  ax-ie2 1542  ax-8 1552  ax-11 1554  ax-4 1558  ax-17 1574  ax-i9 1578  ax-ial 1582  ax-i5r 1583  ax-ext 2213  ax-resscn 8123  ax-1re 8125  ax-addrcl 8128

This theorem depends on definitions:  df-bi 117  df-nf 1509  df-sb 1811  df-clab 2218  df-cleq 2224  df-clel 2227  df-in 3206  df-ss 3213  df-2 9201  df-3 9202  df-4 9203  df-5 9204  df-6 9205

This theorem is referenced by:  7m1e6  9266  6p2e8  9292  6p3e9  9293  halfpm6th  9363  6p4e10  9681  6t2e12  9713  6t3e18  9714  6t5e30  9716  5recm6rec  9753  efi4p  12277  ef01bndlem  12316  cos01bnd  12318  3lcm2e6woprm  12657  6lcm4e12  12658  2exp8  13007  2exp11  13008  2exp16  13009  sincos6thpi  15565  sincos3rdpi  15566  2lgslem3d  15824  2lgsoddprmlem3d  15838  ex-exp  16323  ex-bc  16325  ex-gcd  16327