Metamath Proof Explorer

Theorem elfznn0

Description: A member of a finite set of sequential nonnegative integers is a nonnegative integer. (Contributed by NM, 5-Aug-2005) (Revised by Mario Carneiro, 28-Apr-2015)

Ref Expression
Assertion elfznn0 K 0 N K 0


Step Hyp Ref Expression
1 elfz2nn0 K 0 N K 0 N 0 K N
2 1 simp1bi K 0 N K 0