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asymptotics.idr
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asymptotics.idr
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mid : {A:Type} -> A -> A
mid = \ x => x
CPair : Type -> Type -> Type
CPair = \ a, b => (p : Type) -> (a -> b -> p) -> p
cdup : {A:Type} -> A -> CPair A A
cdup = \ a, x, p => p a a
CNat : Type
CNat = (n : Type) -> (n -> n) -> n -> n
czero : CNat
czero = \ n, s, z => z
csuc : CNat -> CNat
csuc = \ a, n, s, z => s (a n s z)
CVec : Type -> CNat -> Type
CVec = \ a, n => (V : CNat -> Type) -> ({n : CNat} -> a -> V n -> V (csuc n)) -> V czero -> V n
cnil : {A:Type} -> CVec A Main.czero
cnil = \ v, c, n => n
ccons : {A:Type}->{n:CNat} -> A -> CVec A n -> CVec A (csuc n)
ccons = \ a, as, v, c, n => c a (as v c n)
--------------------------------------------------------------------------------
-- fails
-- idTest : {A:Type} -> A -> A
-- idTest =
-- mid mid mid mid mid mid mid mid mid mid mid mid mid mid mid mid mid mid mid mid
-- mid mid mid mid mid mid mid mid mid mid mid mid mid mid mid mid mid mid mid mid
-- fails
-- pairTest =
-- let x0 = cdup Type
-- x1 = cdup x0
-- x2 = cdup x1
-- x3 = cdup x2
-- x4 = cdup x3
-- x5 = cdup x4
-- x6 = cdup x5
-- x7 = cdup x6
-- x8 = cdup x7
-- x9 = cdup x8
-- x10 = cdup x9
-- x11 = cdup x10
-- x12 = cdup x11
-- x13 = cdup x12
-- x14 = cdup x13
-- x15 = cdup x14
-- x16 = cdup x15
-- x17 = cdup x16
-- x18 = cdup x17
-- x19 = cdup x18
-- x20 = cdup x19
-- x21 = cdup x20
-- x22 = cdup x21
-- x23 = cdup x22
-- x24 = cdup x23
-- x25 = cdup x24
-- x26 = cdup x25
-- x27 = cdup x26
-- x28 = cdup x27
-- x29 = cdup x28
-- x30 = cdup x29
-- in x30
vecTest : Type
vecTest =
let foo =
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cnil
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in Type