Theorem 5cn 9322

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 9321	. 2 ⊢ 5 ∈ ℝ
2	1	recni 8291	1 ⊢ 5 ∈ ℂ

Syntax hints:   ∈ wcel 2205  ℂcc 8130  5c5 9296

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 2216  ax-resscn 8224  ax-1re 8226  ax-addrcl 8229

This theorem depends on definitions:  df-bi 117  df-nf 1510  df-sb 1812  df-clab 2221  df-cleq 2227  df-clel 2230  df-in 3219  df-ss 3226  df-2 9301  df-3 9302  df-4 9303  df-5 9304

This theorem is referenced by:  6m1e5  9365  5p2e7  9389  5p3e8  9390  5p4e9  9391  5p5e10  9785  5t2e10  9814  5recm6rec  9858  ef01bndlem  12450  5ndvds3  12628  5ndvds6  12629  dec5dvds  13118  dec5nprm  13120  2exp11  13142  2exp16  13143  lgsdir2lem1  15950  2lgslem3c  16017  2lgsoddprmlem3d  16032  ex-fac  16545