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| Mirrors > Home > MPE Home > Th. List > nnzd | Structured version Visualization version GIF version | ||
| Description: A positive integer is an integer. (Contributed by Mario Carneiro, 28-May-2016.) |
| Ref | Expression |
|---|---|
| nnzd.1 | ⊢ (𝜑 → 𝐴 ∈ ℕ) |
| Ref | Expression |
|---|---|
| nnzd | ⊢ (𝜑 → 𝐴 ∈ ℤ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | nnzd.1 | . . 3 ⊢ (𝜑 → 𝐴 ∈ ℕ) | |
| 2 | 1 | nnnn0d 12587 | . 2 ⊢ (𝜑 → 𝐴 ∈ ℕ0) |
| 3 | 2 | nn0zd 12639 | 1 ⊢ (𝜑 → 𝐴 ∈ ℤ) |
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