Description: A positive integer is a complex number. (Contributed by Mario Carneiro, 27-May-2016)
| Ref | Expression | ||
|---|---|---|---|
| Hypothesis | nnred.1 | ⊢ ( 𝜑 → 𝐴 ∈ ℕ ) | |
| Assertion | nncnd | ⊢ ( 𝜑 → 𝐴 ∈ ℂ ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | nnred.1 | ⊢ ( 𝜑 → 𝐴 ∈ ℕ ) | |
| 2 | nnsscn | ⊢ ℕ ⊆ ℂ | |
| 3 | 2 1 | sselid | ⊢ ( 𝜑 → 𝐴 ∈ ℂ ) |