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1 con incl' = K ==> fn (r1 :: {K}) (r2 :: {K}) (r' :: {K}) =>
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2 [r1 ~ r'] => {Expose : f :: ({K} -> Type) -> f r2 -> f (r1 ++ r'),
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3 Hide : f :: ({K} -> Type) -> f (r1 ++ r') -> f r2}
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4
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5 con incl = K ==> fn (r1 :: {K}) (r2 :: {K}) =>
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6 tp :: Type -> (r' :: {K} -> [r1 ~ r'] => incl' r1 r2 r' -> tp) -> tp
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7
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8 fun incl [K] [r1 :: {K}] [r2 :: {K}] [r1 ~ r2] =
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9 fn [tp :: Type] (f : r' :: {K} -> [r1 ~ r'] => incl' r1 (r1 ++ r2) r' -> tp) =>
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10 f [r2] ! (fn [r1 ~ r2] => {Expose = fn [f :: ({K} -> Type)] x => x,
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11 Hide = fn [f :: ({K} -> Type)] x => x})
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12
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13 fun proj [r1 ::: {Type}] [r2 ::: {Type}] (i : incl r1 r2) (r : $r2) =
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14 i [$r1] (fn [r' :: {Type}] [r1 ~ r'] (i' : incl' r1 r2 r') =>
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15 i'.Expose [fn r => $r] r --- r')
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16
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17 fun inv1 [K] [nm :: Name] [t :: K] [r :: {K}] [r' :: {K}] [[nm] ~ r]
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18 [f :: Name -> K -> {K} -> Type]
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19 (i : incl ([nm = t] ++ r) r')
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20 (f : nm :: Name -> t :: K -> r :: {K} -> [[nm] ~ r] => f nm t ([nm = t] ++ r)) =
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21 i [f nm t r'] (fn [r'' :: {K}] [[nm = t] ++ r ~ r''] (i' : incl' ([nm = t] ++ r) r' r'') =>
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22 i'.Hide [f nm t] (f [nm] [t] [r ++ r''] !))
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23
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24 fun inv2 [K] [nm :: Name] [t :: K] [r :: {K}] [r' :: {K}] [[nm] ~ r]
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25 (i : incl ([nm = t] ++ r) r') =
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26 i [incl r r'] (fn [r'' :: {K}] [[nm = t] ++ r ~ r''] (i' : incl' ([nm = t] ++ r) r' r'') =>
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27 fn [tp :: Type] (f : r''' :: {K} -> [r ~ r'''] => incl' r r' r''' -> tp) =>
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28 f [[nm = t] ++ r''] ! (fn [r ~ [nm = t] ++ r''] =>
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29 {Expose = fn [f :: ({K} -> Type)] (x : f r') => i'.Expose [f] x,
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30 Hide = fn [f :: ({K} -> Type)] x => i'.Hide [f] x}))
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31
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32 fun fold [K] [tf :: {K} -> Type] [r ::: {K}]
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33 (f : nm :: Name -> v :: K -> r' :: {K}
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34 -> [[nm] ~ r'] => incl ([nm = v] ++ r') r -> tf r' -> tf ([nm = v] ++ r'))
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35 (i : tf []) (fl : folder r) =
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36 @Top.fold [fn r' => incl r' r -> tf r']
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37 (fn [nm :: Name] [v :: K] [r' :: {K}] [[nm] ~ r'] acc i =>
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38 f [nm] [v] [r'] ! i (acc (inv2 [nm] [v] [r'] [r] i)))
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39 (fn _ => i)
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40 fl (incl [r] [[]])
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