Homotopy Type Theory closed interval > history (Rev #4)


Given an ordered type AA and terms a:Aa:A and b:Ab:A a closed interval [a,b][a, b] is a dependent type defined as

[a,b] c:A(ac)×(cb)[a, b] \coloneqq \sum_{c:A} (a \leq c) \times (c \leq b)

See also

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