Make postulate
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@ -76,14 +76,13 @@ module Monoidal {ℓa ℓb : Level} (ℂ : Category ℓa ℓb) where
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isDistributive {X} {Y} {Z} g f = sym done
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where
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module R² = Functor F[ R ∘ R ]
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postulate
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distrib : ∀ {A B C D} {a : Arrow C D} {b : Arrow B C} {c : Arrow A B}
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→ R.func→ (a ∘ b ∘ c)
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≡ R.func→ a ∘ R.func→ b ∘ R.func→ c
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distrib = {!!}
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comm : ∀ {A B C D E}
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→ {a : Arrow D E} {b : Arrow C D} {c : Arrow B C} {d : Arrow A B}
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→ a ∘ (b ∘ c ∘ d) ≡ a ∘ b ∘ c ∘ d
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comm = {!!}
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lemmm : μ Z ∘ R.func→ (μ Z) ≡ μ Z ∘ μ (R.func* Z)
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lemmm = isAssociative
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lem4 : μ (R.func* Z) ∘ R².func→ g ≡ R.func→ g ∘ μ Y
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@ -110,8 +109,7 @@ module Monoidal {ℓa ℓb : Level} (ℂ : Category ℓa ℓb) where
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Monad.isMonad (Monad≡ {m} {n} eq i) = res i
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where
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-- TODO: PathJ nightmare + `propIsMonad`.
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res : (λ i → IsMonad (eq i)) [ Monad.isMonad m ≡ Monad.isMonad n ]
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res = {!!}
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postulate res : (λ i → IsMonad (eq i)) [ Monad.isMonad m ≡ Monad.isMonad n ]
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-- "A monad in the Kleisli form" [voe]
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module Kleisli {ℓa ℓb : Level} (ℂ : Category ℓa ℓb) where
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