Homotopy Type Theory upper bounded open interval > history (Rev #1)

Definition

Given a strictly ordered type AA and a term a:Aa:A, an upper bounded open interval (a,)(a, \infty) is a dependent type defined as

(,a) b:A(b<a)(-\infty, a) \coloneqq \sum_{b:A} (b \lt a)

See also

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