Mercurial > meta
diff incl.urs @ 5:943410267fad
Import Incl and Mem
author | Adam Chlipala <adam@chlipala.net> |
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date | Tue, 14 Dec 2010 09:49:10 -0500 |
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--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/incl.urs Tue Dec 14 09:49:10 2010 -0500 @@ -0,0 +1,22 @@ +(** A record inclusion predicate *) + +con incl :: K --> {K} -> {K} -> Type + +val incl : K --> r1 :: {K} -> r2 :: {K} -> [r1 ~ r2] => incl r1 (r1 ++ r2) +val proj : r1 ::: {Type} -> r2 ::: {Type} -> incl r1 r2 -> $r2 -> $r1 + +val inv1 : K --> nm :: Name -> t :: K -> r :: {K} -> r' :: {K} + -> [[nm] ~ r] => + f :: (Name -> K -> {K} -> Type) + -> incl ([nm = t] ++ r) r' + -> (nm :: Name -> t :: K -> r :: {K} -> [[nm] ~ r] => f nm t ([nm = t] ++ r)) + -> f nm t r' +val inv2 : K --> nm :: Name -> t :: K -> r :: {K} -> r' :: {K} + -> [[nm] ~ r] => + incl ([nm = t] ++ r) r' -> incl r r' + +val fold : K --> tf :: ({K} -> Type) -> r ::: {K} + -> (nm :: Name -> v :: K -> r' :: {K} + -> [[nm] ~ r'] => incl ([nm = v] ++ r') r -> tf r' -> tf ([nm = v] ++ r')) + -> tf [] + -> folder r -> tf r