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| Mirrors > Home > MPE Home > Th. List > lep1d | Structured version Visualization version GIF version | ||
| Description: A number is less than or equal to itself plus 1. (Contributed by Mario Carneiro, 28-May-2016.) |
| Ref | Expression |
|---|---|
| ltp1d.1 | ⊢ (𝜑 → 𝐴 ∈ ℝ) |
| Ref | Expression |
|---|---|
| lep1d | ⊢ (𝜑 → 𝐴 ≤ (𝐴 + 1)) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | ltp1d.1 | . 2 ⊢ (𝜑 → 𝐴 ∈ ℝ) | |
| 2 | lep1 12108 | . 2 ⊢ (𝐴 ∈ ℝ → 𝐴 ≤ (𝐴 + 1)) | |
| 3 | 1, 2 | syl 17 | 1 ⊢ (𝜑 → 𝐴 ≤ (𝐴 + 1)) |
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