Metamath Proof Explorer


Theorem nngt0i

Description: A positive integer is positive (inference version). (Contributed by NM, 17-Sep-1999)

Ref Expression
Hypothesis nngt0.1 𝐴 ∈ ℕ
Assertion nngt0i 0 < 𝐴

Proof

Step Hyp Ref Expression
1 nngt0.1 𝐴 ∈ ℕ
2 nngt0 ( 𝐴 ∈ ℕ → 0 < 𝐴 )
3 1 2 ax-mp 0 < 𝐴