TheoremBase

Closed Interval in the Real Line

Statement

Let R\mathbb{R} be the set of real numbers, with the order ≤\le of its ordered field structure, and let p,q∈Rp,q\in\mathbb{R}.

The closed interval with endpoints pp and qq is the subset

[p,q]={x∈R: p≤x and x≤q}.[p,q]=\{x\in\mathbb{R}:\ p\le x\text{ and }x\le q\}.

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