Theorem ioosscn

Description: An open interval is a set of complex numbers. (Contributed by Glauco Siliprandi, 11-Dec-2019)

	Ref	Expression
Assertion	ioosscn	$$⊢\left(A,B\right)\subseteq ℂ$$

Proof

Step	Hyp	Ref	Expression
1		ioossre	$$⊢\left(A,B\right)\subseteq ℝ$$
2		ax-resscn	$$⊢ℝ\subseteq ℂ$$
3	1 2	sstri	$$⊢\left(A,B\right)\subseteq ℂ$$