Theorem 6cn 9365

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 9364	. 2 ⊢ 6 ∈ ℝ
2	1	recni 8328	1 ⊢ 6 ∈ ℂ

Syntax hints:   ∈ wcel 2209  ℂcc 8167  6c6 9338

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 1500  ax-7 1501  ax-gen 1502  ax-ie1 1546  ax-ie2 1547  ax-8 1557  ax-11 1559  ax-4 1563  ax-17 1579  ax-i9 1583  ax-ial 1587  ax-i5r 1588  ax-ext 2220  ax-resscn 8261  ax-1re 8263  ax-addrcl 8266

This theorem depends on definitions:  df-bi 117  df-nf 1514  df-sb 1816  df-clab 2225  df-cleq 2231  df-clel 2234  df-in 3226  df-ss 3233  df-2 9342  df-3 9343  df-4 9344  df-5 9345  df-6 9346

This theorem is referenced by:  7m1e6  9407  6p2e8  9433  6p3e9  9434  halfpm6th  9504  6p4e10  9827  6t2e12  9859  6t3e18  9860  6t5e30  9862  5recm6rec  9899  efi4p  12462  ef01bndlem  12501  cos01bnd  12503  3lcm2e6woprm  12842  6lcm4e12  12843  2exp8  13192  2exp11  13193  2exp16  13194  sincos6thpi  15866  sincos3rdpi  15867  2lgslem3d  16129  2lgsoddprmlem3d  16143  ex-exp  16655  ex-bc  16657  ex-gcd  16659