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	$$⊢\left[0,1\right]\subseteq ℂ$$

Proof

Step	Hyp	Ref	Expression
1		unitssre	$$⊢\left[0,1\right]\subseteq ℝ$$
2		ax-resscn	$$⊢ℝ\subseteq ℂ$$
3	1 2	sstri	$$⊢\left[0,1\right]\subseteq ℂ$$