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| Mirrors > Home > MPE Home > Th. List > recni | Structured version Visualization version GIF version | ||
| Description: A real number is a complex number. (Contributed by NM, 1-Mar-1995.) |
| Ref | Expression |
|---|---|
| recni.1 | ⊢ 𝐴 ∈ ℝ |
| Ref | Expression |
|---|---|
| recni | ⊢ 𝐴 ∈ ℂ |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | ax-resscn 11212 | . 2 ⊢ ℝ ⊆ ℂ | |
| 2 | recni.1 | . 2 ⊢ 𝐴 ∈ ℝ | |
| 3 | 1, 2 | sselii 3980 | 1 ⊢ 𝐴 ∈ ℂ |
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