This is an inofficial mirror of http://metamath.tirix.org for personal testing of a visualizer extension only.

Metamath Proof Explorer

Theorem recn

Description: A real number is a complex number. (Contributed by NM, 10-Aug-1999)

Ref Expression
Assertion recn 
|- ( A e. RR -> A e. CC )

Proof

Step Hyp Ref Expression
1 ax-resscn 
 |-  RR C_ CC
2 1 sseli 
 |-  ( A e. RR -> A e. CC )