Metamath Proof Explorer


Theorem elunitcn

Description: The closed unit interval is a subset of the set of the complex numbers. Useful lemma for manipulating probabilities within the closed unit interval. (Contributed by Thierry Arnoux, 21-Dec-2016)

Ref Expression
Assertion elunitcn
|- ( A e. ( 0 [,] 1 ) -> A e. CC )

Proof

Step Hyp Ref Expression
1 elunitrn
 |-  ( A e. ( 0 [,] 1 ) -> A e. RR )
2 1 recnd
 |-  ( A e. ( 0 [,] 1 ) -> A e. CC )