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Make sure Felix.Instances.Function.Lift is typechecked #13

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May 25, 2024
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Make sure Felix.Instances.Function.Lift is typechecked #13

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e5aff0a
Make sure `Felix.Instances.Function.Lift` is typechecked
jkopanski Apr 8, 2024
220753e
Adjust `Felix.Instances.Function.Lift` to new instance resolution
jkopanski Apr 8, 2024
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1 change: 1 addition & 0 deletions src/Felix/All.agda
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Expand Up @@ -20,4 +20,5 @@ import Felix.Construct.Comma
import Felix.Construct.Arrow

import Felix.Instances.Function
import Felix.Instances.Function.Lift
import Felix.Instances.Identity
24 changes: 15 additions & 9 deletions src/Felix/Instances/Function/Lift.agda
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Expand Up @@ -5,26 +5,32 @@ open import Level
module Felix.Instances.Function.Lift (a b : Level) where

open Lift
open import Data.Product using (_,_)
open import Data.Product using (_,_; uncurry)
open import Function using (_∘_)

open import Felix.Homomorphism hiding (refl)
open import Felix.Homomorphism
open import Felix.Object

private module F {ℓ} where open import Felix.Instances.Function ℓ public
open F
import Felix.Instances.Function
open module F {ℓ} = Felix.Instances.Function ℓ
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private
variable
A : Set a

lift₀ : ⦃ _ : Products (Set (a ⊔ b)) ⦄ → A → (⊤ F.⇾ Lift b A)
lift₀′ : A → Lift b A
lift₀′ = lift

lift₀ : A → (⊤ ⇾ Lift b A)
lift₀ n tt = lift n

lift₁ : (A F.⇾ A) → (Lift b A F.⇾ Lift b A)
lift₁ : (A ⇾ A) → (Lift b A ⇾ Lift b A)
lift₁ f (lift a) = lift (f a)

lift₂ : (A F.⇾ A F.⇾ A) → (Lift b A × Lift b A F.⇾ Lift b A)
lift₂ f (lift a , lift b) = lift (f a b)
lift₂′ : (A ⇾ A ⇾ A) → (Lift b A ⇾ Lift b A ⇾ Lift b A)
lift₂′ f (lift a) (lift b) = lift (f a b)

lift₂ : (A ⇾ A ⇾ A) → (Lift b A × Lift b A ⇾ Lift b A)
lift₂ = uncurry ∘ lift₂′

module function-lift-instances where instance

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