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| Mirrors > Home > MPE Home > Th. List > rpcnd | Structured version Visualization version GIF version | ||
| Description: A positive real is a complex number. (Contributed by Mario Carneiro, 28-May-2016.) |
| Ref | Expression |
|---|---|
| rpred.1 | ⊢ (𝜑 → 𝐴 ∈ ℝ+) |
| Ref | Expression |
|---|---|
| rpcnd | ⊢ (𝜑 → 𝐴 ∈ ℂ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | rpred.1 | . . 3 ⊢ (𝜑 → 𝐴 ∈ ℝ+) | |
| 2 | 1 | rpred 13077 | . 2 ⊢ (𝜑 → 𝐴 ∈ ℝ) |
| 3 | 2 | recnd 11289 | 1 ⊢ (𝜑 → 𝐴 ∈ ℂ) |
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