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| Mirrors > Home > MPE Home > Th. List > rexri | Structured version Visualization version GIF version | ||
| Description: A standard real is an extended real (inference form.) (Contributed by David Moews, 28-Feb-2017.) |
| Ref | Expression |
|---|---|
| rexri.1 | ⊢ 𝐴 ∈ ℝ |
| Ref | Expression |
|---|---|
| rexri | ⊢ 𝐴 ∈ ℝ* |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | rexri.1 | . 2 ⊢ 𝐴 ∈ ℝ | |
| 2 | rexr 11307 | . 2 ⊢ (𝐴 ∈ ℝ → 𝐴 ∈ ℝ*) | |
| 3 | 1, 2 | ax-mp 5 | 1 ⊢ 𝐴 ∈ ℝ* |
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