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| Mirrors > Home > MPE Home > Th. List > peano2rem | Structured version Visualization version GIF version | ||
| Description: "Reverse" second Peano postulate analogue for reals. (Contributed by NM, 6-Feb-2007.) |
| Ref | Expression |
|---|---|
| peano2rem | ⊢ (𝑁 ∈ ℝ → (𝑁 − 1) ∈ ℝ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | 1re 11261 | . 2 ⊢ 1 ∈ ℝ | |
| 2 | resubcl 11573 | . 2 ⊢ ((𝑁 ∈ ℝ ∧ 1 ∈ ℝ) → (𝑁 − 1) ∈ ℝ) | |
| 3 | 1, 2 | mpan2 691 | 1 ⊢ (𝑁 ∈ ℝ → (𝑁 − 1) ∈ ℝ) |
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