Theorem unitsscn

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, 12-Dec-2016)

	Ref	Expression
Assertion	unitsscn	|- ( 0 [,] 1 ) C_ CC

Proof

Step	Hyp	Ref	Expression
1		unitssre	|- ( 0 [,] 1 ) C_ RR
2		ax-resscn	|- RR C_ CC
3	1 2	sstri	|- ( 0 [,] 1 ) C_ CC