1 files changed, 0 insertions, 59 deletions
diff --git a/src/Data/Array/Nested/Lemmas.hs b/src/Data/Array/Nested/Lemmas.hs
deleted file mode 100644
index c4fe066..0000000
--- a/src/Data/Array/Nested/Lemmas.hs
+++ /dev/null
@@ -1,59 +0,0 @@
-{-# LANGUAGE DataKinds #-}
-{-# LANGUAGE GADTs #-}
-{-# LANGUAGE ScopedTypeVariables #-}
-{-# LANGUAGE TypeApplications #-}
-{-# LANGUAGE TypeOperators #-}
-module Data.Array.Nested.Lemmas where
-
-import Data.Proxy
-import Data.Type.Equality
-import GHC.TypeLits
-
-import Data.Array.Mixed.Lemmas
-import Data.Array.Mixed.Permutation
-import Data.Array.Mixed.Shape
-import Data.Array.Mixed.Types
-import Data.Array.Nested.Shape
-
-
-lemRankMapJust :: ShS sh -> Rank (MapJust sh) :~: Rank sh
-lemRankMapJust ZSS = Refl
-lemRankMapJust (_ :$$ sh') | Refl <- lemRankMapJust sh' = Refl
-
-lemMapJustApp :: ShS sh1 -> Proxy sh2
-              -> MapJust (sh1 ++ sh2) :~: MapJust sh1 ++ MapJust sh2
-lemMapJustApp ZSS _ = Refl
-lemMapJustApp (_ :$$ sh) p | Refl <- lemMapJustApp sh p = Refl
-
-lemMapJustTakeLen :: Perm is -> ShS sh -> TakeLen is (MapJust sh) :~: MapJust (TakeLen is sh)
-lemMapJustTakeLen PNil _ = Refl
-lemMapJustTakeLen (_ `PCons` is) (_ :$$ sh) | Refl <- lemMapJustTakeLen is sh = Refl
-lemMapJustTakeLen (_ `PCons` _) ZSS = error "TakeLen of empty"
-
-lemMapJustDropLen :: Perm is -> ShS sh -> DropLen is (MapJust sh) :~: MapJust (DropLen is sh)
-lemMapJustDropLen PNil _ = Refl
-lemMapJustDropLen (_ `PCons` is) (_ :$$ sh) | Refl <- lemMapJustDropLen is sh = Refl
-lemMapJustDropLen (_ `PCons` _) ZSS = error "DropLen of empty"
-
-lemMapJustIndex :: SNat i -> ShS sh -> Index i (MapJust sh) :~: Just (Index i sh)
-lemMapJustIndex SZ (_ :$$ _) = Refl
-lemMapJustIndex (SS (i :: SNat i')) ((_ :: SNat n) :$$ (sh :: ShS sh'))
-  | Refl <- lemMapJustIndex i sh
-  , Refl <- lemIndexSucc (Proxy @i') (Proxy @(Just n)) (Proxy @(MapJust sh'))
-  , Refl <- lemIndexSucc (Proxy @i') (Proxy @n) (Proxy @sh')
-  = Refl
-lemMapJustIndex _ ZSS = error "Index of empty"
-
-lemMapJustPermute :: Perm is -> ShS sh -> Permute is (MapJust sh) :~: MapJust (Permute is sh)
-lemMapJustPermute PNil _ = Refl
-lemMapJustPermute (i `PCons` is) sh
-  | Refl <- lemMapJustPermute is sh
-  , Refl <- lemMapJustIndex i sh
-  = Refl
-
-lemKnownMapJust :: forall sh. KnownShS sh => Proxy sh -> Dict KnownShX (MapJust sh)
-lemKnownMapJust _ = lemKnownShX (go (knownShS @sh))
-  where
-    go :: ShS sh' -> StaticShX (MapJust sh')
-    go ZSS = ZKX
-    go (n :$$ sh) = SKnown n :!% go sh