Description: Nonnegative integers are nonnegative. (Contributed by Raph Levien, 10-Dec-2002)
| Ref | Expression | ||
|---|---|---|---|
| Hypothesis | nn0ge0i.1 | ⊢ 𝑁 ∈ ℕ0 | |
| Assertion | nn0ge0i | ⊢ 0 ≤ 𝑁 |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | nn0ge0i.1 | ⊢ 𝑁 ∈ ℕ0 | |
| 2 | nn0ge0 | ⊢ ( 𝑁 ∈ ℕ0 → 0 ≤ 𝑁 ) | |
| 3 | 1 2 | ax-mp | ⊢ 0 ≤ 𝑁 |