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| Mirrors > Home > MPE Home > Th. List > recn | Structured version Visualization version GIF version | ||
| Description: A real number is a complex number. (Contributed by NM, 10-Aug-1999.) |
| Ref | Expression |
|---|---|
| recn | ⊢ (𝐴 ∈ ℝ → 𝐴 ∈ ℂ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | ax-resscn 11212 | . 2 ⊢ ℝ ⊆ ℂ | |
| 2 | 1 | sseli 3979 | 1 ⊢ (𝐴 ∈ ℝ → 𝐴 ∈ ℂ) |
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