Metamath Proof Explorer

Theorem nnne0d

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

Ref Expression
Hypothesis nnge1d.1 
|- ( ph -> A e. NN )
Assertion nnne0d 
|- ( ph -> A =/= 0 )

Proof

Step Hyp Ref Expression
1 nnge1d.1 
 |-  ( ph -> A e. NN )
2 nnne0 
 |-  ( A e. NN -> A =/= 0 )
3 1 2 syl 
 |-  ( ph -> A =/= 0 )