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| Mirrors > Home > MPE Home > Th. List > nncnd | Structured version Visualization version GIF version | ||
| Description: A positive integer is a complex number. (Contributed by Mario Carneiro, 27-May-2016.) |
| Ref | Expression |
|---|---|
| nnred.1 | ⊢ (𝜑 → 𝐴 ∈ ℕ) |
| Ref | Expression |
|---|---|
| nncnd | ⊢ (𝜑 → 𝐴 ∈ ℂ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | nnsscn 12271 | . 2 ⊢ ℕ ⊆ ℂ | |
| 2 | nnred.1 | . 2 ⊢ (𝜑 → 𝐴 ∈ ℕ) | |
| 3 | 1, 2 | sselid 3981 | 1 ⊢ (𝜑 → 𝐴 ∈ ℂ) |
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