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annotate incl.urs @ 5:943410267fad

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Import Incl and Mem
author Adam Chlipala <adam@chlipala.net>
date Tue, 14 Dec 2010 09:49:10 -0500
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adam@5 1 (** A record inclusion predicate *)
adam@5 2
adam@5 3 con incl :: K --> {K} -> {K} -> Type
adam@5 4
adam@5 5 val incl : K --> r1 :: {K} -> r2 :: {K} -> [r1 ~ r2] => incl r1 (r1 ++ r2)
adam@5 6 val proj : r1 ::: {Type} -> r2 ::: {Type} -> incl r1 r2 -> $r2 -> $r1
adam@5 7
adam@5 8 val inv1 : K --> nm :: Name -> t :: K -> r :: {K} -> r' :: {K}
adam@5 9 -> [[nm] ~ r] =>
adam@5 10 f :: (Name -> K -> {K} -> Type)
adam@5 11 -> incl ([nm = t] ++ r) r'
adam@5 12 -> (nm :: Name -> t :: K -> r :: {K} -> [[nm] ~ r] => f nm t ([nm = t] ++ r))
adam@5 13 -> f nm t r'
adam@5 14 val inv2 : K --> nm :: Name -> t :: K -> r :: {K} -> r' :: {K}
adam@5 15 -> [[nm] ~ r] =>
adam@5 16 incl ([nm = t] ++ r) r' -> incl r r'
adam@5 17
adam@5 18 val fold : K --> tf :: ({K} -> Type) -> r ::: {K}
adam@5 19 -> (nm :: Name -> v :: K -> r' :: {K}
adam@5 20 -> [[nm] ~ r'] => incl ([nm = v] ++ r') r -> tf r' -> tf ([nm = v] ++ r'))
adam@5 21 -> tf []
adam@5 22 -> folder r -> tf r