43 lines
899 B
Idris
43 lines
899 B
Idris
module Data.Profunctor.Strong
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import Data.Profunctor.Functor
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import Data.Profunctor.Types
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%default total
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public export
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interface Profunctor p => GenStrong (0 ten : Type -> Type -> Type) p where
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strongl : p a b -> p (a `ten` c) (b `ten` c)
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strongr : p a b -> p (c `ten` a) (c `ten` b)
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public export
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Strong : (p : Type -> Type -> Type) -> Type
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Strong = GenStrong Pair
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public export
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first : Strong p => p a b -> p (a, c) (b, c)
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first = strongl {ten=Pair}
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public export
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second : Strong p => p a b -> p (c, a) (c, b)
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second = strongr {ten=Pair}
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export
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uncurry' : Strong p => p a (b -> c) -> p (a, b) c
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uncurry' = rmap (uncurry id) . first
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-- Tambara
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public export
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record GenTambara (ten, p : Type -> Type -> Type) where
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constructor MkTambara
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getTambara : {0 c : Type} -> p (a `ten` c) (b `ten` c)
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public export
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Tambara : (p : Type -> Type -> Type) -> Type
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Tambara = GenTambara Pair
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