Theorem ioosscn

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

	Ref	Expression
Assertion	ioosscn	⊢ ( 𝐴 (,) 𝐵 ) ⊆ ℂ

Proof

Step	Hyp	Ref	Expression
1		ioossre	⊢ ( 𝐴 (,) 𝐵 ) ⊆ ℝ
2		ax-resscn	⊢ ℝ ⊆ ℂ
3	1 2	sstri	⊢ ( 𝐴 (,) 𝐵 ) ⊆ ℂ