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| Mirrors > Home > MPE Home > Th. List > elnn0uz | Structured version Visualization version GIF version | ||
| Description: A nonnegative integer expressed as a member an upper set of integers. (Contributed by NM, 6-Jun-2006.) |
| Ref | Expression |
|---|---|
| elnn0uz | ⊢ (𝑁 ∈ ℕ0 ↔ 𝑁 ∈ (ℤ≥‘0)) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | nn0uz 12920 | . 2 ⊢ ℕ0 = (ℤ≥‘0) | |
| 2 | 1 | eleq2i 2833 | 1 ⊢ (𝑁 ∈ ℕ0 ↔ 𝑁 ∈ (ℤ≥‘0)) |
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