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[base] bimap
functions were added for dependent pairs.
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@ -12,6 +12,10 @@ namespace DPair
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uncurry : {0 p : a -> Type} -> ((x : a) -> p x -> c) -> (x : a ** p x) -> c
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uncurry f s = f s.fst s.snd
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public export
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bimap : {0 p : a -> Type} -> {0 q : b -> Type} -> (f : a -> b) -> (forall x. p x -> q (f x)) -> (x : a ** p x) -> (y : b ** q y)
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bimap f g (x ** y) = (f x ** g y)
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namespace Exists
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||| A dependent pair in which the first field (witness) should be
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@ -39,6 +43,10 @@ namespace Exists
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uncurry : {0 p : a -> Type} -> ({0 x : a} -> p x -> c) -> Exists {type=a} p -> c
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uncurry f ex = f ex.snd
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public export
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bimap : (0 f : a -> b) -> (forall x. p x -> q (f x)) -> Exists {type=a} p -> Exists {type=b} q
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bimap f g (Evidence x y) = Evidence (f x) (g y)
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namespace Subset
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||| A dependent pair in which the second field (evidence) should not
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@ -63,3 +71,7 @@ namespace Subset
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public export
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uncurry : {0 p : a -> Type} -> ((x : a) -> (0 _ : p x) -> c) -> Subset a p -> c
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uncurry f s = f s.fst s.snd
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public export
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bimap : (f : a -> b) -> (0 _ : forall x. p x -> q (f x)) -> Subset a p -> Subset b q
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bimap f g (Element x y) = Element (f x) (g y)
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