Theorem 5cn 9316

Description: The number 5 is complex. (Contributed by David A. Wheeler, 8-Dec-2018.)

Assertion

Ref	Expression
5cn	⊢ 5 ∈ ℂ

Proof of Theorem 5cn

Step	Hyp	Ref	Expression
1		5re 9315	. 2 ⊢ 5 ∈ ℝ
2	1	recni 8285	1 ⊢ 5 ∈ ℂ

Syntax hints:   ∈ wcel 2203  ℂcc 8124  5c5 9290

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 8218  ax-1re 8220  ax-addrcl 8223

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 3216  df-ss 3223  df-2 9295  df-3 9296  df-4 9297  df-5 9298

This theorem is referenced by:  6m1e5  9359  5p2e7  9383  5p3e8  9384  5p4e9  9385  5p5e10  9778  5t2e10  9807  5recm6rec  9851  ef01bndlem  12438  5ndvds3  12616  5ndvds6  12617  dec5dvds  13106  dec5nprm  13108  2exp11  13130  2exp16  13131  lgsdir2lem1  15893  2lgslem3c  15960  2lgsoddprmlem3d  15975  ex-fac  16488