Metamath Proof Explorer


Theorem eluznn0

Description: Membership in a nonnegative upper set of integers implies membership in NN0 . (Contributed by Paul Chapman, 22-Jun-2011)

Ref Expression
Assertion eluznn0 N 0 M N M 0

Proof

Step Hyp Ref Expression
1 nn0uz 0 = 0
2 1 uztrn2 N 0 M N M 0