From 4914e4be1180ae6b49dd682ecff728239cc9db9f Mon Sep 17 00:00:00 2001 From: Martin Escardo Date: Sun, 20 Aug 2023 19:08:05 +0100 Subject: [PATCH] add more to the TODO --- source/InjectiveTypes/MathematicalStructures.lagda | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/source/InjectiveTypes/MathematicalStructures.lagda b/source/InjectiveTypes/MathematicalStructures.lagda index 29f8675e9..1744ab9cc 100644 --- a/source/InjectiveTypes/MathematicalStructures.lagda +++ b/source/InjectiveTypes/MathematicalStructures.lagda @@ -715,8 +715,8 @@ example of monoids. TODO. Actually perhaps are one more example, which accounts for many examples, namely S X = X → X → R. When R is a type of real numbers, and we consider additional prop-valued axioms, we get metric -space. When R is the type of propositions, we get relations, and if we -add further axioms we get e.g. posets. +space. When R is the type of propositions, we get relations, or +graphs, and if we add further axioms we get e.g. posets. TODO. More techniques are needed to show that the type of 1-categories would be injective. This is more interesting.