Metamath Proof Explorer

Theorem elfzel1

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

Ref Expression
Assertion elfzel1 K M N M


Step Hyp Ref Expression
1 elfzuz K M N K M
2 eluzel2 K M M
3 1 2 syl K M N M