diff --git a/src/Cat/Category/Monad.agda b/src/Cat/Category/Monad.agda index 674fd95..e853fc1 100644 --- a/src/Cat/Category/Monad.agda +++ b/src/Cat/Category/Monad.agda @@ -264,8 +264,8 @@ module Kleisli {ℓa ℓb : Level} (ℂ : Category ℓa ℓb) where module R² = Functor R² pureT : Transformation R⁰ R pureT A = pure - pureTNatural : Natural R⁰ R pureT - pureTNatural {A} {B} f = begin + pureN : Natural R⁰ R pureT + pureN {A} {B} f = begin pureT B ∘ R⁰.func→ f ≡⟨⟩ pure ∘ f ≡⟨ sym (isNatural _) ⟩ bind (pure ∘ f) ∘ pure ≡⟨⟩ @@ -273,8 +273,8 @@ module Kleisli {ℓa ℓb : Level} (ℂ : Category ℓa ℓb) where R.func→ f ∘ pureT A ∎ joinT : Transformation R² R joinT C = join - joinTNatural : Natural R² R joinT - joinTNatural f = begin + joinN : Natural R² R joinT + joinN f = begin join ∘ R².func→ f ≡⟨⟩ bind 𝟙 ∘ R².func→ f ≡⟨⟩ R².func→ f >>> bind 𝟙 ≡⟨⟩ @@ -304,11 +304,11 @@ module Kleisli {ℓa ℓb : Level} (ℂ : Category ℓa ℓb) where pureNT : NaturalTransformation R⁰ R proj₁ pureNT = pureT - proj₂ pureNT = pureTNatural + proj₂ pureNT = pureN joinNT : NaturalTransformation R² R proj₁ joinNT = joinT - proj₂ joinNT = joinTNatural + proj₂ joinNT = joinN isNaturalForeign : IsNaturalForeign isNaturalForeign = begin