Metamath Proof Explorer

Theorem nngt0d

Description: A positive integer is positive. (Contributed by Mario Carneiro, 27-May-2016)

Ref Expression
Hypothesis nnge1d.1 
|- ( ph -> A e. NN )
Assertion nngt0d 
|- ( ph -> 0 < A )

Proof

Step Hyp Ref Expression
1 nnge1d.1 
 |-  ( ph -> A e. NN )
2 nngt0 
 |-  ( A e. NN -> 0 < A )
3 1 2 syl 
 |-  ( ph -> 0 < A )