diff options
| author | Jacques Comeaux <jacquesrcomeaux@protonmail.com> | 2025-12-08 15:30:53 -0600 |
|---|---|---|
| committer | Jacques Comeaux <jacquesrcomeaux@protonmail.com> | 2025-12-08 15:30:53 -0600 |
| commit | cb2efa506d9ecec48aad72deb10acb6ffba45970 (patch) | |
| tree | 3fdec9635f55b2c90c1b68c616f97711e53d3f01 /Functor/Instance/DecoratedCospan/Embed.agda | |
| parent | 826b0b6007249ef518c5cff458ce6dc5c95fd43a (diff) | |
Update category of cospans
Diffstat (limited to 'Functor/Instance/DecoratedCospan/Embed.agda')
| -rw-r--r-- | Functor/Instance/DecoratedCospan/Embed.agda | 10 |
1 files changed, 5 insertions, 5 deletions
diff --git a/Functor/Instance/DecoratedCospan/Embed.agda b/Functor/Instance/DecoratedCospan/Embed.agda index 4595a8f..77b16fa 100644 --- a/Functor/Instance/DecoratedCospan/Embed.agda +++ b/Functor/Instance/DecoratedCospan/Embed.agda @@ -19,6 +19,7 @@ import Categories.Category.Monoidal.Reasoning as ⊗-Reasoning import Categories.Diagram.Pushout.Properties as PushoutProperties import Categories.Morphism.Reasoning as ⇒-Reasoning import Category.Diagram.Pushout as Pushout′ +import Category.Diagram.Cospan as Cospan import Functor.Instance.Cospan.Embed 𝒞 as Embed open import Categories.Category using (Category; _[_,_]; _[_≈_]; _[_∘_]) @@ -34,9 +35,9 @@ import Categories.Morphism as Morphism open import Categories.Category.Cocartesian using (module CocartesianMonoidal) open import Categories.Category.Monoidal.Utilities using (module Shorthands) open import Categories.Functor using (Functor; _∘F_) -open import Data.Product.Base using (_,_) -open import Function.Base using () renaming (id to idf) -open import Functor.Instance.DecoratedCospan.Stack using (⊗) +open import Data.Product using (_,_) +open import Function using () renaming (id to idf) +open import Functor.Instance.DecoratedCospan.Stack 𝒞 F using (⊗) module 𝒞 = FinitelyCocompleteCategory 𝒞 module 𝒟 = SymmetricMonoidalCategory 𝒟 @@ -62,7 +63,7 @@ R = Decorate ∘F Embed.R B₁ : 𝒞.U [ A , C ] → 𝒞.U [ B , C ] → 𝒟.U [ 𝒟.unit , F.F₀ C ] → DecoratedCospans [ A , B ] B₁ f g s = record - { cospan = Embed.B₁ f g + { cospan = Cospan.cospan f g ; decoration = s } @@ -265,7 +266,6 @@ module _ where where module Decorate = Functor Decorate - module ⊗ = Functor (⊗ 𝒞 F) open 𝒞 using (_+₁_) L-resp-⊗ : DecoratedCospans [ L.₁ (f +₁ g) ≈ ⊗.₁ (L.₁ f , L.₁ g) ] |
