Metamath Proof Explorer

Theorem elfzle1

Description: A member of a finite set of sequential integer is greater than or equal to the lower bound. (Contributed by NM, 6-Sep-2005) (Revised by Mario Carneiro, 28-Apr-2015)

Ref Expression
Assertion elfzle1 K M N M K


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