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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	$⊢ A \in [0, 1] \to A \in ℂ$

Proof

Step	Hyp	Ref	Expression
1		elunitrn	$⊢ A \in [0, 1] \to A \in ℝ$
2	1	recnd	$⊢ A \in [0, 1] \to A \in ℂ$