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authorJacques Comeaux <jacquesrcomeaux@protonmail.com>2025-12-08 15:30:53 -0600
committerJacques Comeaux <jacquesrcomeaux@protonmail.com>2025-12-08 15:30:53 -0600
commitcb2efa506d9ecec48aad72deb10acb6ffba45970 (patch)
tree3fdec9635f55b2c90c1b68c616f97711e53d3f01 /Functor/Instance/DecoratedCospan/Embed.agda
parent826b0b6007249ef518c5cff458ce6dc5c95fd43a (diff)
Update category of cospans
Diffstat (limited to 'Functor/Instance/DecoratedCospan/Embed.agda')
-rw-r--r--Functor/Instance/DecoratedCospan/Embed.agda10
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) ]