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authorJacques Comeaux <jacquesrcomeaux@protonmail.com>2026-07-30 15:47:52 -0700
committerJacques Comeaux <jacquesrcomeaux@protonmail.com>2026-07-30 15:47:52 -0700
commitb65266b7b41e3001eb3cf46c95ee6c9af021edc9 (patch)
treead272e444177cd9bd4b92f295bc90cd980e6c58d /Category/Monoidal/Instance
parent776ec567fd788ddef1f7617b7a3bfeb9cf46c28d (diff)
Update missed module to new agda-categories
Diffstat (limited to 'Category/Monoidal/Instance')
-rw-r--r--Category/Monoidal/Instance/DecoratedCospans.agda16
1 files changed, 8 insertions, 8 deletions
diff --git a/Category/Monoidal/Instance/DecoratedCospans.agda b/Category/Monoidal/Instance/DecoratedCospans.agda
index b0625ab..8cd2e94 100644
--- a/Category/Monoidal/Instance/DecoratedCospans.agda
+++ b/Category/Monoidal/Instance/DecoratedCospans.agda
@@ -26,10 +26,10 @@ import Categories.Category.Monoidal.Properties as βŠ—-Properties
import Categories.Category.Monoidal.Braided.Properties as Οƒ-Properties
open import Categories.Category using (_[_,_]; _[_β‰ˆ_]; _[_∘_]; Category)
-open import Categories.Category.BinaryProducts using (BinaryProducts)
open import Categories.Category.Cartesian using (Cartesian)
open import Categories.Category.Cartesian.Bundle using (CartesianCategory)
-open import Categories.Category.Cocartesian using (module CocartesianMonoidal; module CocartesianSymmetricMonoidal)
+open import Categories.Category.Cocartesian.Monoidal using (module CocartesianMonoidal)
+open import Categories.Category.Cocartesian.SymmetricMonoidal using (module CocartesianSymmetricMonoidal)
open import Categories.Category.Monoidal.Braided using (Braided)
open import Categories.Category.Monoidal.Core using (Monoidal)
open import Categories.Category.Monoidal.Symmetric using (Symmetric)
@@ -51,7 +51,7 @@ open import Functor.Instance.DecoratedCospan.Stack π’ž F using (βŠ—)
open import Functor.Instance.DecoratedCospan.Embed π’ž F using (L; L-resp-βŠ—; B₁)
open import Category.Monoidal.Instance.DecoratedCospans.Products π’ž F
-open CocartesianMonoidal π’ž.U π’ž.cocartesian using (βŠ₯+--id; -+βŠ₯-id; βŠ₯+Aβ‰…A; A+βŠ₯β‰…A; +-monoidal)
+open CocartesianMonoidal π’ž.cocartesian using (βŠ₯+--id; -+βŠ₯-id; βŠ₯+Aβ‰…A; A+βŠ₯β‰…A; +-monoidal)
open import Categories.Category.Monoidal.Utilities +-monoidal using (associator-naturalIsomorphism)
module LiftUnitorΛ‘ where
@@ -61,7 +61,7 @@ module LiftUnitorΛ‘ where
≃₁ : NaturalTransformation (Hom[ π’Ÿ.U ][ π’Ÿ.unit ,-] ∘F F.F) (Hom[ π’Ÿ.U ][ π’Ÿ.unit ,-] ∘F F.F ∘F (βŠ₯ +-))
≃₁ = ntHelper record
{ Ξ· = Ξ» { X β†’ record
- { to = Ξ» { f β†’ π’Ÿ.U [ F.βŠ—-homo.Ξ· (βŠ₯ , X) ∘ π’Ÿ.U [ π’Ÿ.βŠ—.₁ (π’Ÿ.U [ F.₁ π’ž.initial.! ∘ F.Ξ΅ ] , f) ∘ ρ⇐ ] ] }
+ { to = Ξ» { f β†’ π’Ÿ.U [ F.βŠ—-homo.Ξ· (βŠ₯ , X) ∘ π’Ÿ.U [ π’Ÿ.βŠ—.₁ (π’Ÿ.U [ F.₁ π’ž.Β‘ ∘ F.Ξ΅ ] , f) ∘ ρ⇐ ] ] }
; cong = Ξ» { x β†’ refl⟩∘⟨ reflβŸ©βŠ—βŸ¨ x ⟩∘⟨refl } }
}
; commute = ned
@@ -105,7 +105,7 @@ module LiftUnitorΛ‘ where
F.βŠ—-homo.Ξ· (βŠ₯ , X) ∘ (F.₁ Β‘ ∘ F.Ξ΅) βŠ—β‚ f ∘ ρ⇐ ∎
where
open Shorthands π’ž.monoidal using (λ⇐)
- open CocartesianMonoidal π’ž.U π’ž.cocartesian using (unitorΛ‘)
+ open Monoidal +-monoidal using (unitorΛ‘)
open π’Ÿ.Equiv
open π’Ÿ using (sym-assoc; _∘_; id; _βŠ—β‚_; identityΚ³)
open βŠ—-Reasoning π’Ÿ.monoidal
@@ -122,7 +122,7 @@ module LiftUnitorΚ³ where
≃₁ : NaturalTransformation (Hom[ π’Ÿ.U ][ π’Ÿ.unit ,-] ∘F F.F) (Hom[ π’Ÿ.U ][ π’Ÿ.unit ,-] ∘F F.F ∘F (-+ βŠ₯))
≃₁ = ntHelper record
{ Ξ· = Ξ» { X β†’ record
- { to = Ξ» { f β†’ π’Ÿ.U [ F.βŠ—-homo.Ξ· (X , βŠ₯) ∘ π’Ÿ.U [ π’Ÿ.βŠ—.₁ (f , π’Ÿ.U [ F.₁ π’ž.initial.! ∘ F.Ξ΅ ]) ∘ ρ⇐ ] ] }
+ { to = Ξ» { f β†’ π’Ÿ.U [ F.βŠ—-homo.Ξ· (X , βŠ₯) ∘ π’Ÿ.U [ π’Ÿ.βŠ—.₁ (f , π’Ÿ.U [ F.₁ π’ž.Β‘ ∘ F.Ξ΅ ]) ∘ ρ⇐ ] ] }
; cong = Ξ» { x β†’ refl⟩∘⟨ x βŸ©βŠ—βŸ¨refl ⟩∘⟨refl } }
}
; commute = ned
@@ -165,7 +165,7 @@ module LiftUnitorΚ³ where
F.βŠ—-homo.Ξ· (X , βŠ₯) ∘ f βŠ—β‚ (F.₁ Β‘ ∘ F.Ξ΅) ∘ ρ⇐ ∎
where
open Shorthands π’ž.monoidal using () renaming (ρ⇐ to ρ⇐′)
- open CocartesianMonoidal π’ž.U π’ž.cocartesian using (unitorΚ³)
+ open Monoidal +-monoidal using (unitorΚ³)
open π’Ÿ.Equiv
open π’Ÿ using (sym-assoc; _∘_; id; _βŠ—β‚_; identityΚ³)
open βŠ—-Reasoning π’Ÿ.monoidal
@@ -279,7 +279,7 @@ module LiftAssociator where
open π’Ÿ using (sym-assoc; _∘_; id; _βŠ—β‚_; identityΚ³; assoc-commute-from; unitorΛ‘-commute-to) renaming (unitorΛ‘ to Ζ›; associator to Ξ±)
open βŠ—-Reasoning π’Ÿ.monoidal
open β‡’-Reasoning π’Ÿ.U
- open CocartesianMonoidal π’ž.U π’ž.cocartesian using () renaming (associator to Ξ±β€²)
+ open Monoidal +-monoidal using () renaming (associator to Ξ±β€²)
open βŠ—-Properties π’Ÿ.monoidal using (coherence-inv₁; coherence-inv₃)
module Associator = Square {[π’žΓ—π’ž]Γ—π’ž} {π’ž} {[π’ŸΓ—π’Ÿ]Γ—π’Ÿ} {π’Ÿ} {[FΓ—F]Γ—F} {F} {[x+y]+z.F {π’ž}} {x+[y+z].F {π’ž}} (assoc-≃ {π’ž}) ≃₁ ≃₂ ≃₂≋≃₁
open LiftAssociator using (module Associator)