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Definition of a posetal reflection
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Cubical/Relation/Binary/Order/Poset/Instances/PosetalReflection.agda

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{-# OPTIONS --cubical --safe #-}
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-- The posetal reflection is the universal way to turn a preorder into a poset
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-- In abstract-nonsense terms, the posetal reflection exhibits Pos as a reflective subcategory of preorders.
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-- https://ncatlab.org/nlab/show/posetal+reflection
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-- When a preorder is viewed as a category, posets are univalent categories
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-- and the posetal reflection is a special case of the Rezk completion.
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module Cubical.Relation.Binary.Order.Poset.Instances.PosetalReflection where
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open import Cubical.Foundations.Prelude

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