Theorem fzssre

Description: A finite sequence of integers is a set of real numbers. (Contributed by Glauco Siliprandi, 5-Apr-2020)

	Ref	Expression
Assertion	fzssre	⊢ ( 𝑀 ... 𝑁 ) ⊆ ℝ

Proof

Step	Hyp	Ref	Expression
1		fzssz	⊢ ( 𝑀 ... 𝑁 ) ⊆ ℤ
2		zssre	⊢ ℤ ⊆ ℝ
3	1 2	sstri	⊢ ( 𝑀 ... 𝑁 ) ⊆ ℝ