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Homotopy Type Theory
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~~## Definition

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~~A partial order $\leq$ over a type $A$ is an **order** (also called **total order** or **linear order**) if it comes with a family of dependent terms

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~~$a:A, b:A \vdash \tau(a, b): \Vert R(a, b) + R(b, a) \Vert$

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~~representing the totality condition for the partial order. $A$ is called an **ordered type**, **totally ordered type**, or **linearly ordered type**.

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~~## See also

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Last revised on June 10, 2022 at 13:04:52.
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