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authorJacques Comeaux <jacquesrcomeaux@protonmail.com>2026-07-10 17:21:14 -0700
committerJacques Comeaux <jacquesrcomeaux@protonmail.com>2026-07-10 17:21:14 -0700
commita408cbee9abbe2dbeee09bd36afc678efe7b6557 (patch)
tree22d6f05d6ce81357629fa2864305b81d68eed52e /Category/Instance/FinitelyCocompletes.agda
parent7875edd03cce586a8c9f0b95dedffb390bfdbd61 (diff)
Use latest agda-categories
Diffstat (limited to 'Category/Instance/FinitelyCocompletes.agda')
-rw-r--r--Category/Instance/FinitelyCocompletes.agda24
1 files changed, 12 insertions, 12 deletions
diff --git a/Category/Instance/FinitelyCocompletes.agda b/Category/Instance/FinitelyCocompletes.agda
index 9bee58e..ceb1d53 100644
--- a/Category/Instance/FinitelyCocompletes.agda
+++ b/Category/Instance/FinitelyCocompletes.agda
@@ -84,8 +84,8 @@ module _ (𝒞 𝒟 : FinitelyCocompleteCategory o ℓ e) where
→ IsInitial 𝒞×𝒟.U (A , B)
→ IsInitial 𝒞.U A
F-resp-⊥ {A , B} initial = record
- { ! = λ { {C} → proj₁ (! {C , B}) }
- ; !-unique = λ { f → proj₁ (!-unique (f , 𝒟.id)) }
+ { ¡ = λ { {C} → proj₁ (¡ {C , B}) }
+ ; ¡-unique = λ { f → proj₁ (¡-unique (f , 𝒟.id)) }
}
where
open IsInitial initial
@@ -130,8 +130,8 @@ module _ (𝒞 𝒟 : FinitelyCocompleteCategory o ℓ e) where
→ IsInitial 𝒞×𝒟.U (A , B)
→ IsInitial 𝒟.U B
F-resp-⊥ {A , B} initial = record
- { ! = λ { {C} → proj₂ (! {A , C}) }
- ; !-unique = λ { f → proj₂ (!-unique (𝒞.id , f)) }
+ { ¡ = λ { {C} → proj₂ (¡ {A , C}) }
+ ; ¡-unique = λ { f → proj₂ (¡-unique (𝒞.id , f)) }
}
where
open IsInitial initial
@@ -193,8 +193,8 @@ module _ where
→ IsInitial 𝒞.U A
→ IsInitial (ProductCat 𝒟.U ℰ.U) (F.₀ A , G.₀ A)
F-resp-⊥′ A-isInitial = record
- { ! = F[A]-isInitial.! , G[A]-isInitial.!
- ; !-unique = dmap F[A]-isInitial.!-unique G[A]-isInitial.!-unique
+ { ¡ = F[A]-isInitial.¡ , G[A]-isInitial.¡
+ ; ¡-unique = dmap F[A]-isInitial.¡-unique G[A]-isInitial.¡-unique
}
where
module F[A]-isInitial = IsInitial (F-resp-⊥ A-isInitial)
@@ -254,20 +254,20 @@ module _ where
→ IsInitial 𝒜×ℬ.U (A , B)
→ IsInitial 𝒞×𝒟.U (F.₀ A , G.₀ B)
F-resp-⊥′ {A , B} A,B-isInitial = record
- { ! = F[A]-isInitial.! , G[B]-isInitial.!
- ; !-unique = dmap F[A]-isInitial.!-unique G[B]-isInitial.!-unique
+ { ¡ = F[A]-isInitial.¡ , G[B]-isInitial.¡
+ ; ¡-unique = dmap F[A]-isInitial.¡-unique G[B]-isInitial.¡-unique
}
where
module A,B-isInitial = IsInitial A,B-isInitial
A-isInitial : IsInitial 𝒜.U A
A-isInitial = record
- { ! = λ { {X} → proj₁ (A,B-isInitial.! {X , B}) }
- ; !-unique = λ { f → proj₁ (A,B-isInitial.!-unique (f , ℬ.id)) }
+ { ¡ = λ { {X} → proj₁ (A,B-isInitial.¡ {X , B}) }
+ ; ¡-unique = λ { f → proj₁ (A,B-isInitial.¡-unique (f , ℬ.id)) }
}
B-isInitial : IsInitial ℬ.U B
B-isInitial = record
- { ! = λ { {X} → proj₂ (A,B-isInitial.! {A , X}) }
- ; !-unique = λ { f → proj₂ (A,B-isInitial.!-unique (𝒜.id , f)) }
+ { ¡ = λ { {X} → proj₂ (A,B-isInitial.¡ {A , X}) }
+ ; ¡-unique = λ { f → proj₂ (A,B-isInitial.¡-unique (𝒜.id , f)) }
}
module F[A]-isInitial = IsInitial (F-resp-⊥ A-isInitial)
module G[B]-isInitial = IsInitial (G-resp-⊥ B-isInitial)