From 7093fb4fa137b63ae7f2b8a00269ef63da9d70ee Mon Sep 17 00:00:00 2001 From: Jacques Comeaux Date: Fri, 17 Jul 2026 17:16:37 -0700 Subject: Add categories with all binary biproducts --- Morphism/Zero.agda | 13 +++++++++++++ 1 file changed, 13 insertions(+) create mode 100644 Morphism/Zero.agda (limited to 'Morphism') diff --git a/Morphism/Zero.agda b/Morphism/Zero.agda new file mode 100644 index 0000000..01e0953 --- /dev/null +++ b/Morphism/Zero.agda @@ -0,0 +1,13 @@ +{-# OPTIONS --without-K --safe #-} + +open import Categories.Category using (Category) +open import Level using (Level; _βŠ”_) + +module Morphism.Zero {o β„“ e : Level} (π’ž : Category o β„“ e) where + +open Category π’ž + +record IsZeroβ‡’ {A B : Obj} (z : A β‡’ B) : Set (o βŠ” β„“ βŠ” e) where + field + constant : {C : Obj} (f g : C β‡’ A) β†’ z ∘ f β‰ˆ z ∘ g + coconstant : {C : Obj} (f g : B β‡’ C) β†’ f ∘ z β‰ˆ g ∘ z -- cgit v1.2.3