Created
September 15, 2023 09:21
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Dependent Profunctor
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interface HiProfunctor (0 p : (0 xt : Type) -> (xt -> Type) -> Type) where | |
dimap : (a, b : Type) -> (c : b -> Type) -> (d : (a -> Type)) | |
-> (ab : (a -> b)) -> ((y : a) -> c (ab y) -> d y) | |
-> p b c -> p a d | |
data DepFun : (0 xt : Type) -> (xt -> Type) -> Type where | |
DF : (0 xt : Type) -> (yt : xt -> Type) -> ((x : xt) -> yt x) -> DepFun xt yt | |
HiProfunctor DepFun where | |
dimap a b c d ab acd (DF _ _ bc) = DF a d (\av : a => acd av (bc (ab av))) |
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