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https://github.com/GrammaticalFramework/gf-core.git
synced 2026-04-22 19:22:50 -06:00
Moved transfer libraries to transfer/lib
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@@ -1,9 +0,0 @@
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import nat
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data Array : Type -> Nat -> Type where
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Empty : (A:Type) -> Array A Zero
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Cell : (A:Type) -> (n:Nat) -> A -> Array A n -> Array A (Succ n)
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mapA : (A:Type) -> (B:Type) -> (n:Nat) -> (A -> B) -> Array A n -> Array B n
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mapA A B _ f (Empty _) = Empty B
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mapA A B (Succ n) f (Cell _ _ x xs) = Cell B n (f x) (mapA A B n f xs)
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@@ -1,10 +0,0 @@
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data Bool : Type where
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True : Bool
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False : Bool;
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depif : (A:Type) -> (B:Type) -> (b:Bool) -> A -> B -> if Type b then A else B
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depif _ _ True x _ = x
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depif _ _ False _ y = y
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not : Bool -> Bool
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not b = if b then False else True
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@@ -1,17 +0,0 @@
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import nat
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data List : (_:Type) -> Type where
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Nil : (A:Type) -> List A
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Cons : (A:Type) -> A -> List A -> List A
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size : (A:Type) -> List A -> Nat
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size _ (Nil _) = Zero
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size A (Cons _ x xs) = Succ (size A xs)
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map : (A:Type) -> (B:Type) -> (A -> B) -> List A -> List B
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map _ B _ (Nil _) = Nil B
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map A B f (Cons _ x xs) = Cons B (f x) (map A B f xs)
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append : (A:Type) -> (xs:List A) -> List A -> List A
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append _ (Nil _) ys = ys
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append A (Cons _ x xs) ys = Cons A x (append A xs ys)
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@@ -1,11 +0,0 @@
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data Maybe : Type -> Type where
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Nothing : (A : Type) -> Maybe A
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Just : (A : Type) -> A -> Maybe A
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fromMaybe : (A : Type) -> A -> Maybe A -> A
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fromMaybe _ x Nothing = x
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fromMaybe _ _ (Just x) = x
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maybe : (A : Type) -> (B : Type) -> B -> (A -> B) -> Maybe A -> A
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maybe _ _ x _ Nothing = x
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maybe _ _ _ f (Just x) = f x
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@@ -1,18 +0,0 @@
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data Nat : Type where
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Zero : Nat
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Succ : (n:Nat) -> Nat
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plus : Nat -> Nat -> Nat
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plus Zero y = y
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plus (Succ x) y = Succ (plus x y)
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pred : Nat -> Nat
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pred Zero = Zero
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pred (Succ n) = n
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natToInt : Nat -> Int
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natToInt Zero = 0
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natToInt (Succ n) = 1 + natToInt n
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intToNat : Int -> Nat
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intToNat n = if n == 0 then Zero else Succ (intToNat (n-1))
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@@ -1,11 +0,0 @@
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Pair : Type -> Type -> Type
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Pair A B = sig { p1 : A; p2 : B }
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pair : (A:Type) -> (B:Type) -> A -> B -> Pair A B
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pair _ _ x y = rec { p1 = x; p2 = y }
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fst : (A:Type) -> (B:Type) -> Pair A B -> A
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fst _ _ p = case p of Pair _ _ x _ -> x
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snd : (A:Type) -> (B:Type) -> Pair A B -> B
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snd _ _ p = case p of Pair _ _ x _ -> x
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@@ -1,217 +0,0 @@
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--
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-- Prelude for the transfer language.
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--
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--
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-- Basic functions
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--
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const : (A:Type) -> (B:Type) -> A -> B -> A
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const _ _ x _ = x
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id : (A:Type) -> A -> A
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id _ x = x
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--
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-- The Add class
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--
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Add : Type -> Type
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Add = sig zero : A
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plus : A -> A -> A
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zero : (A : Type) -> Add A -> A
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zero _ d = d.zero
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plus : (A : Type) -> Add A -> A -> A -> A
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plus _ d = d.plus
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sum : (A:Type) -> Add A -> List A -> A
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sum _ d (Nil _) = d.zero
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sum A d (Cons _ x xs) = d.plus x (sum A d xs)
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-- Operators:
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{-
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(x + y) => (plus ? ? x y)
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-}
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-- Instances:
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add_Integer : Add Integer
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add_Integer = rec zero = 0
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plus = prim_add_Int
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add_String : Add String
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add_String = rec zero = ""
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plus = prim_add_Str
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--
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-- The Prod class
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--
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Prod : Type -> Type
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Prod = sig one : A
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times : A -> A -> A
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one : (A : Type) -> Prod A -> A
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one _ d = d.one
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times : (A : Type) -> Prod A -> A -> A -> A
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times _ d = d.times
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product : (A:Type) -> Prod A -> List A -> A
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product _ d (Nil _) = d.one
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product A d (Cons _ x xs) = d.times x (product A d xs)
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-- Operators:
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{-
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(x * y) => (times ? ? x y)
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-}
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-- Instances:
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prod_Integer : Add Integer
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prod_Integer = rec one = 1
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times = prim_mul_Int
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--
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-- The Eq class
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--
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Eq : Type -> Type
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Eq A = sig eq : A -> A -> Bool
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eq : (A : Type) -> Eq A -> A -> A -> Bool
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eq _ d = d.eq
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neq : (A : Type) -> Eq A -> A -> A -> Bool
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neq A d x y = not (eq A d x y)
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-- Operators:
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{-
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(x == y) => (eq ? ? x y)
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(x /= y) => (neq ? ? x y)
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-}
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-- Instances:
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eq_Integer : Eq Integer
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eq_Integer = rec eq = prim_eq_Int
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eq_String : Eq String
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eq_String = rec eq = prim_eq_Str
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--
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-- The Ord class
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--
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data Ordering : Type where
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LT : Ordering
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EQ : Ordering
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GT : Ordering
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Ord : Type -> Type
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Ord A = sig eq : A -> A -> Bool
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compare : A -> A -> Ordering
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compare : (A : Type) -> Ord A -> A -> A -> Ordering
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compare _ d = d.compare
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ordOp : (Ordering -> Bool) -> (A : Type) -> Ord A -> A -> A -> Bool
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ordOp f A d x y = f (compare A d x y)
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lt : (A : Type) -> Ord A -> A -> A -> Bool
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lt = ordOp (\o -> case o of { LT -> True; _ -> False })
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le : (A : Type) -> Ord A -> A -> A -> Bool
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le = ordOp (\o -> case o of { GT -> False; _ -> True })
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ge : (A : Type) -> Ord A -> A -> A -> Bool
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ge = ordOp (\o -> case o of { LT -> False; _ -> True })
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gt : (A : Type) -> Ord A -> A -> A -> Bool
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gt = ordOp (\o -> case o of { GT -> True; _ -> False })
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-- Operators
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{-
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(x < y) => (lt ? ? x y)
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(x <= y) => (le ? ? x y)
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(x >= y) => (ge ? ? x y)
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(x > y) => (gt ? ? x y)
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-}
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-- Instances
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ord_Integer : Ord Integer
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ord_Integer = rec eq = prim_eq_Int
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compare = prim_cmp_Int
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ord_String : Ord String
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ord_String = rec eq = prim_eq_Str
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compare = prim_cmp_Str
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--
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-- The Show class
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--
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Show : Type -> Type
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Show A = sig show : A -> String
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show : (A : Type) -> Show A -> A -> String
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show _ d = d.show
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-- Instances
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show_Integer : Show Integer
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show_Integer = rec show = prim_show_Int
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show_String : Show String
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show_String = rec show = prim_show_Str
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--
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-- The Monoid class
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--
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Monoid : Type -> Type
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Monoid = sig mzero : A
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mplus : A -> A -> A
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--
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-- The Compos class
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--
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Compos : Type -> Type
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Compos T = sig
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C : Type
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composOp : (c : C) -> ((a : C) -> T a -> T a) -> T c -> T c
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composFold : (B : Type) -> Monoid B -> (c : C) -> ((a : C) -> T a -> b) -> T c -> b
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composOp : (T : Type) -> (d : Compos T)
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-> (c : d.C) -> ((a : d.C) -> T a -> T a) -> T c -> T c
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composOp _ d = d.composOp
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composFold : (T : Type) -> (d : Compos T) -> (B : Type) -> Monoid B
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-> (c : d.C) -> ((a : d.C) -> T a -> b) -> T c -> b
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composFold _ _ d = d.composFold
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