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