Metamath Proof Explorer


Theorem elfzuz3

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

Ref Expression
Assertion elfzuz3 K M N N K

Proof

Step Hyp Ref Expression
1 elfzuzb K M N K M N K
2 1 simprbi K M N N K