Metamath Proof Explorer

Theorem elfzel2

Description: Membership in a finite set of sequential integer implies the upper bound is an integer. (Contributed by NM, 6-Sep-2005) (Revised by Mario Carneiro, 28-Apr-2015)

Ref Expression
Assertion elfzel2 K M N N


Step Hyp Ref Expression
1 elfzuz3 K M N N K
2 eluzelz N K N
3 1 2 syl K M N N