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Mirrors > Home > MPE Home > Th. List > rpge0d | Structured version Visualization version GIF version |
Description: A positive real is greater than or equal to zero. (Contributed by Mario Carneiro, 28-May-2016.) |
Ref | Expression |
---|---|
rpred.1 | ⊢ (𝜑 → 𝐴 ∈ ℝ+) |
Ref | Expression |
---|---|
rpge0d | ⊢ (𝜑 → 0 ≤ 𝐴) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | rpred.1 | . 2 ⊢ (𝜑 → 𝐴 ∈ ℝ+) | |
2 | rpge0 12742 | . 2 ⊢ (𝐴 ∈ ℝ+ → 0 ≤ 𝐴) | |
3 | 1, 2 | syl 17 | 1 ⊢ (𝜑 → 0 ≤ 𝐴) |
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