Metamath Proof Explorer


Theorem elfzelz

Description: A member of a finite set of sequential integers is an integer. (Contributed by NM, 6-Sep-2005) (Revised by Mario Carneiro, 28-Apr-2015)

Ref Expression
Assertion elfzelz K M N K

Proof

Step Hyp Ref Expression
1 elfzuz K M N K M
2 eluzelz K M K
3 1 2 syl K M N K