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Mirrors > Home > MPE Home > Th. List > rpcn | Structured version Visualization version GIF version |
Description: A positive real is a complex number. (Contributed by NM, 11-Nov-2008.) |
Ref | Expression |
---|---|
rpcn | ⊢ (𝐴 ∈ ℝ+ → 𝐴 ∈ ℂ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | rpre 12766 | . 2 ⊢ (𝐴 ∈ ℝ+ → 𝐴 ∈ ℝ) | |
2 | 1 | recnd 11031 | 1 ⊢ (𝐴 ∈ ℝ+ → 𝐴 ∈ ℂ) |
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