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

Proof

Step	Hyp	Ref	Expression
1		unitssre	⊢ ( 0 [,] 1 ) ⊆ ℝ
2		ax-resscn	⊢ ℝ ⊆ ℂ
3	1 2	sstri	⊢ ( 0 [,] 1 ) ⊆ ℂ