Metamath Proof Explorer

Theorem elfz3nn0

Description: The upper bound of a nonempty finite set of sequential nonnegative integers is a nonnegative integer. (Contributed by NM, 16-Sep-2005) (Revised by Mario Carneiro, 28-Apr-2015)

Ref Expression
Assertion elfz3nn0 K 0 N N 0


Step Hyp Ref Expression
1 elfz2nn0 K 0 N K 0 N 0 K N
2 1 simp2bi K 0 N N 0