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Metamath Proof Explorer

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	$⊢ φ \to K \in (M \dots N)$
	Assertion	elfzelzd	$⊢ φ \to K \in ℤ$

Step	Hyp	Ref	Expression
1		elfzelzd.1	$⊢ φ \to K \in (M \dots N)$
2		elfzelz	$⊢ K \in (M \dots N) \to K \in ℤ$
3	1 2	syl	$⊢ φ \to K \in ℤ$