Homotopy Type Theory decidable preordered type > history (Rev #2)

Contents

Definition

A decidable preordered type is a type TT with a function ()():T×T𝟚(-) \leq (-):T \times T \to \mathbb{2} and terms

r: a:A(aa)=1r: \prod_{a:A} (a \leq a) = 1
t: a:A b:A c:A((ab)(bc)(ac))=1t: \prod_{a:A} \prod_{b:A} \prod_{c:A} ((a \leq b) \wedge (b \leq c) \implies (a \leq c)) = 1

See also

Revision on June 15, 2022 at 22:47:47 by Anonymous?. See the history of this page for a list of all contributions to it.