Theorem elfzelzd

Description: A member of a finite set of sequential integers is an integer. (Contributed by Glauco Siliprandi, 5-Apr-2020)

	Ref	Expression
Hypothesis	elfzelzd.1	|- ( ph -> K e. ( M ... N ) )
Assertion	elfzelzd	|- ( ph -> K e. ZZ )

Proof

Step	Hyp	Ref	Expression
1		elfzelzd.1	|- ( ph -> K e. ( M ... N ) )
2		elfzelz	|- ( K e. ( M ... N ) -> K e. ZZ )
3	1 2	syl	|- ( ph -> K e. ZZ )