diff options
| author | Jacques Comeaux <jacquesrcomeaux@protonmail.com> | 2026-07-30 15:47:52 -0700 |
|---|---|---|
| committer | Jacques Comeaux <jacquesrcomeaux@protonmail.com> | 2026-07-30 15:47:52 -0700 |
| commit | b65266b7b41e3001eb3cf46c95ee6c9af021edc9 (patch) | |
| tree | ad272e444177cd9bd4b92f295bc90cd980e6c58d /Category/Monoidal/Instance | |
| parent | 776ec567fd788ddef1f7617b7a3bfeb9cf46c28d (diff) | |
Update missed module to new agda-categories
Diffstat (limited to 'Category/Monoidal/Instance')
| -rw-r--r-- | Category/Monoidal/Instance/DecoratedCospans.agda | 16 |
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 β-Properties import Categories.Category.Monoidal.Braided.Properties as Ο-Properties open import Categories.Category using (_[_,_]; _[_β_]; _[_β_]; 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 F using (β) open import Functor.Instance.DecoratedCospan.Embed π F using (L; L-resp-β; Bβ) open import Category.Monoidal.Instance.DecoratedCospans.Products π F -open CocartesianMonoidal π.U π.cocartesian using (β₯+--id; -+β₯-id; β₯+Aβ
A; A+β₯β
A; +-monoidal) +open CocartesianMonoidal π.cocartesian using (β₯+--id; -+β₯-id; β₯+Aβ
A; A+β₯β
A; +-monoidal) open import Categories.Category.Monoidal.Utilities +-monoidal using (associator-naturalIsomorphism) module LiftUnitorΛ‘ where @@ -61,7 +61,7 @@ module LiftUnitorΛ‘ where ββ : NaturalTransformation (Hom[ π.U ][ π.unit ,-] βF F.F) (Hom[ π.U ][ π.unit ,-] βF F.F βF (β₯ +-)) ββ = ntHelper record { Ξ· = Ξ» { X β record - { to = Ξ» { f β π.U [ F.β-homo.Ξ· (β₯ , X) β π.U [ π.β.β (π.U [ F.β π.initial.! β F.Ξ΅ ] , f) β Οβ ] ] } + { to = Ξ» { f β π.U [ F.β-homo.Ξ· (β₯ , X) β π.U [ π.β.β (π.U [ F.β π.Β‘ β F.Ξ΅ ] , f) β Οβ ] ] } ; cong = Ξ» { x β reflβ©ββ¨ reflβ©ββ¨ x β©ββ¨refl } } } ; commute = ned @@ -105,7 +105,7 @@ module LiftUnitorΛ‘ where F.β-homo.Ξ· (β₯ , X) β (F.β Β‘ β F.Ξ΅) ββ f β Οβ β where open Shorthands π.monoidal using (Ξ»β) - open CocartesianMonoidal π.U π.cocartesian using (unitorΛ‘) + open Monoidal +-monoidal using (unitorΛ‘) open π.Equiv open π using (sym-assoc; _β_; id; _ββ_; identityΚ³) open β-Reasoning π.monoidal @@ -122,7 +122,7 @@ module LiftUnitorΚ³ where ββ : NaturalTransformation (Hom[ π.U ][ π.unit ,-] βF F.F) (Hom[ π.U ][ π.unit ,-] βF F.F βF (-+ β₯)) ββ = ntHelper record { Ξ· = Ξ» { X β record - { to = Ξ» { f β π.U [ F.β-homo.Ξ· (X , β₯) β π.U [ π.β.β (f , π.U [ F.β π.initial.! β F.Ξ΅ ]) β Οβ ] ] } + { to = Ξ» { f β π.U [ F.β-homo.Ξ· (X , β₯) β π.U [ π.β.β (f , π.U [ F.β π.Β‘ β F.Ξ΅ ]) β Οβ ] ] } ; cong = Ξ» { x β reflβ©ββ¨ x β©ββ¨refl β©ββ¨refl } } } ; commute = ned @@ -165,7 +165,7 @@ module LiftUnitorΚ³ where F.β-homo.Ξ· (X , β₯) β f ββ (F.β Β‘ β F.Ξ΅) β Οβ β where open Shorthands π.monoidal using () renaming (Οβ to Οββ²) - open CocartesianMonoidal π.U π.cocartesian using (unitorΚ³) + open Monoidal +-monoidal using (unitorΚ³) open π.Equiv open π using (sym-assoc; _β_; id; _ββ_; identityΚ³) open β-Reasoning π.monoidal @@ -279,7 +279,7 @@ module LiftAssociator where open π using (sym-assoc; _β_; id; _ββ_; identityΚ³; assoc-commute-from; unitorΛ‘-commute-to) renaming (unitorΛ‘ to Ζ; associator to Ξ±) open β-Reasoning π.monoidal open β-Reasoning π.U - open CocartesianMonoidal π.U π.cocartesian using () renaming (associator to Ξ±β²) + open Monoidal +-monoidal using () renaming (associator to Ξ±β²) open β-Properties π.monoidal using (coherence-invβ; coherence-invβ) module Associator = Square {[πΓπ]Γπ} {π} {[πΓπ]Γπ} {π} {[FΓF]ΓF} {F} {[x+y]+z.F {π}} {x+[y+z].F {π}} (assoc-β {π}) ββ ββ βββββ open LiftAssociator using (module Associator) |
