Homotopy Type Theory dense strict order > history (Rev #2, changes)

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Definition

A strict order $\lt$ on a type $A$ is dense if for terms $a:A$ and $b:A$ , the open interval $(a, b)$ is inhabited

a : A, b : A ⊢ π (a, b) : | ‖ (a, b) | ‖

a:A, b:A \vdash \pi(a, ~~b):\vert(a,~~ b):\Vert(a, ~~b)\vert~~ b)\Vert

See also

strict order

Dedekind-complete strict order?

dense relation

Revision on March 11, 2022 at 22:47:44 by Anonymous?. See the history of this page for a list of all contributions to it.