diff --git a/ChangeLog b/ChangeLog
--- a/ChangeLog
+++ b/ChangeLog
@@ -1,3 +1,8 @@
+2017-08-22  Facundo Domínguez  <facundo.dominguez@tweag.io>  0.4.0
+
+* Add compatibility with ghc-8.2.1.
+* Drop support for ghc-7.6 and ghc-7.8.
+
 2016-05-31  Facundo Domínguez  <facundo.dominguez@tweag.io>  0.3.3.0
 
 * Add compatibility with ghc-8.
diff --git a/rank1dynamic.cabal b/rank1dynamic.cabal
--- a/rank1dynamic.cabal
+++ b/rank1dynamic.cabal
@@ -1,5 +1,5 @@
 Name:                rank1dynamic
-Version:             0.3.3.0
+Version:             0.4.0
 Synopsis:            Like Data.Dynamic/Data.Typeable but with support for rank-1 polymorphic types
 Description:         "Data.Typeable" and "Data.Dynamic" only support monomorphic types.
                      In this package we provide similar functionality but with
@@ -23,20 +23,19 @@
 Library
   Exposed-Modules:     Data.Rank1Dynamic,
                        Data.Rank1Typeable
-  Build-Depends:       base >= 4.4 && < 5,
+  Build-Depends:       base >= 4.6 && < 5,
                        binary >= 0.5 && < 0.9
   HS-Source-Dirs:      src
   GHC-Options:         -Wall
   Extensions:          EmptyDataDecls,
                        DeriveDataTypeable,
-                       ViewPatterns,
-                       CPP
+                       ViewPatterns
 
 Test-Suite TestRank1Dynamic
   Type:              exitcode-stdio-1.0
   Main-Is:           test.hs
-  Build-Depends:     base >= 4.4 && < 5,
-                     HUnit >= 1.2 && < 1.4,
+  Build-Depends:     base >= 4.6 && < 5,
+                     HUnit >= 1.2 && < 1.7,
                      rank1dynamic,
                      test-framework >= 0.6 && < 0.9,
                      test-framework-hunit >= 0.2.0 && < 0.4
diff --git a/src/Data/Rank1Typeable.hs b/src/Data/Rank1Typeable.hs
--- a/src/Data/Rank1Typeable.hs
+++ b/src/Data/Rank1Typeable.hs
@@ -56,13 +56,13 @@
 -- > -- Cannot apply function of type (forall a. (a -> a) -> a -> a) to arg of type (Int -> Bool)
 -- > > funResultTy (typeOf (undefined :: (ANY -> ANY) -> (ANY -> ANY))) (typeOf (undefined :: Int -> Bool))
 -- > Left "Cannot unify Int and Bool"
+{-# LANGUAGE BangPatterns #-}
 module Data.Rank1Typeable
   ( -- * Basic types
     TypeRep
   , typeOf
   , splitTyConApp
   , mkTyConApp
-  , underlyingTypeRep
     -- * Operations on type representations
   , isInstanceOf
   , funResultTy
@@ -99,61 +99,47 @@
 import Control.Arrow ((***), second)
 import Control.Monad (void)
 import Control.Applicative ((<$>))
+import Data.Binary
+import Data.Function (on)
 import Data.List (intersperse, isPrefixOf)
 import Data.Maybe (fromMaybe)
-import Data.Typeable
-  ( Typeable
-  , TyCon
-  , mkTyCon3
-  , tyConPackage
-  , tyConModule
-  , tyConName
-  )
-#if MIN_VERSION_base(4,7,0)
-import Data.Proxy (Proxy(Proxy))
-#endif
-import qualified Data.Typeable.Internal as T
-import Data.Binary (Binary(get, put))
-import qualified Data.Typeable as Typeable
-  ( TypeRep
-  , typeOf
-  , splitTyConApp
-  , mkTyConApp
-  )
+import Data.Typeable ( Typeable )
+import qualified Data.Typeable as T
+import GHC.Fingerprint
 
 tcList, tcFun :: TyCon
-#if MIN_VERSION_base(4,7,0)
-tcList = T.typeRepTyCon (T.typeOf [()])
-tcFun = T.typeRepTyCon (T.typeRep (Proxy :: Proxy (->)))
-#else
-tcList = T.listTc
-tcFun = T.funTc
-#endif
+tcList = fst $ splitTyConApp $ typeOf [()]
+tcFun = fst $ splitTyConApp $ typeOf (\() -> ())
 
 --------------------------------------------------------------------------------
 -- The basic type                                                             --
 --------------------------------------------------------------------------------
 
 -- | Dynamic type representation with support for rank-1 types
-newtype TypeRep = TypeRep {
-    -- | Return the underlying standard ("Data.Typeable") type representation
-    underlyingTypeRep :: Typeable.TypeRep
-  }
+data TypeRep
+    = TRCon TyCon
+    | TRApp {-# UNPACK #-} !Fingerprint TypeRep TypeRep
 
+data TyCon = TyCon
+    { tyConFingerprint :: {-# UNPACK #-} !Fingerprint
+    , tyConPackage :: String
+    , tyConModule :: String
+    , tyConName :: String
+    }
+
+-- | The fingerprint of a TypeRep
+typeRepFingerprint :: TypeRep -> Fingerprint
+typeRepFingerprint (TRCon c) = tyConFingerprint c
+typeRepFingerprint (TRApp fp _ _) = fp
+
 -- | Compare two type representations
---
--- For base >= 4.6 this compares fingerprints, but older versions of base
--- have a bug in the fingerprint construction
--- (<http://hackage.haskell.org/trac/ghc/ticket/5962>)
+instance Eq TyCon where
+  (==) = (==) `on` tyConFingerprint
+
 instance Eq TypeRep where
-#if ! MIN_VERSION_base(4,6,0)
-  (splitTyConApp -> (c1, ts1)) == (splitTyConApp -> (c2, ts2)) =
-    c1 == c2 && all (uncurry (==)) (zip ts1 ts2)
-#else
-  t1 == t2 = underlyingTypeRep t1 == underlyingTypeRep t2
-#endif
+  (==) = (==) `on` typeRepFingerprint
 
--- Binary instance for 'TypeRep', avoiding orphan instances
+--- Binary instance for 'TypeRep', avoiding orphan instances
 instance Binary TypeRep where
   put (splitTyConApp -> (tc, ts)) = do
     put $ tyConPackage tc
@@ -169,8 +155,30 @@
 
 -- | The type representation of any 'Typeable' term
 typeOf :: Typeable a => a -> TypeRep
-typeOf = TypeRep . Typeable.typeOf
+typeOf = trTypeOf . T.typeOf
 
+-- | Conversion from Data.Typeable.TypeRep to Data.Rank1Typeable.TypeRep
+trTypeOf :: T.TypeRep -> TypeRep
+trTypeOf t = let (c, ts) = T.splitTyConApp t
+              in foldl mkTRApp (TRCon $ fromTypeableTyCon c) $ map trTypeOf ts
+  where
+    fromTypeableTyCon c =
+      TyCon (T.tyConFingerprint c)
+            (T.tyConPackage c)
+            (T.tyConModule c)
+            (T.tyConName c)
+
+-- | Applies a TypeRep to another.
+mkTRApp :: TypeRep -> TypeRep -> TypeRep
+mkTRApp t0 t1 = TRApp fp t0 t1
+  where
+    fp = fingerprintFingerprints [typeRepFingerprint t0, typeRepFingerprint t1]
+
+mkTyCon3 :: String -> String -> String -> TyCon
+mkTyCon3 pkg m name = TyCon fp pkg m name
+  where
+    fp = fingerprintFingerprints [ fingerprintString s | s <- [pkg, m, name] ]
+
 --------------------------------------------------------------------------------
 -- Constructors/destructors (views)                                           --
 --------------------------------------------------------------------------------
@@ -178,14 +186,14 @@
 -- | Split a type representation into the application of
 -- a type constructor and its argument
 splitTyConApp :: TypeRep -> (TyCon, [TypeRep])
-splitTyConApp t =
-  let (c, ts) = Typeable.splitTyConApp (underlyingTypeRep t)
-  in (c, map TypeRep ts)
+splitTyConApp = go []
+  where
+    go xs (TRCon c) = (c, xs)
+    go xs (TRApp _ t0 t1) = go (t1 : xs) t0
 
 -- | Inverse of 'splitTyConApp'
 mkTyConApp :: TyCon -> [TypeRep] -> TypeRep
-mkTyConApp c ts
-  = TypeRep (Typeable.mkTyConApp c (map underlyingTypeRep ts))
+mkTyConApp c = foldl mkTRApp (TRCon c)
 
 isTypVar :: TypeRep -> Maybe Var
 isTypVar (splitTyConApp -> (c, [t])) | c == typVar = Just t
@@ -332,6 +340,9 @@
 --------------------------------------------------------------------------------
 -- Pretty-printing                                                            --
 --------------------------------------------------------------------------------
+
+instance Show TyCon where
+  showsPrec _ c = showString (tyConName c)
 
 instance Show TypeRep where
   showsPrec p (splitTyConApp -> (tycon, tys)) =
diff --git a/tests/test.hs b/tests/test.hs
--- a/tests/test.hs
+++ b/tests/test.hs
@@ -1,4 +1,3 @@
-{-# LANGUAGE CPP #-}
 import Data.Rank1Typeable
 import Data.Rank1Dynamic
 
@@ -36,11 +35,7 @@
 
       , testCase "CANNOT use a term of type 'forall a. a -> a' as 'forall a. a'" $
           typeOf (undefined :: ANY) `isInstanceOf` typeOf (undefined :: ANY -> ANY)
-#if MIN_VERSION_base(4,7,0)
           @?= Left "Cannot unify Skolem and (->)"
-#else
-          @?= Left "Cannot unify Skolem and ->"
-#endif 
       ]
 
   , testGroup "Examples of funResultTy"
@@ -95,11 +90,7 @@
 
       , testCase "CANNOT use a term of type 'forall a. a -> a' as 'forall a. a'" $
           do f <- fromDynamic (toDynamic (id :: ANY -> ANY)) ; return $ (f :: Int)
-#if MIN_VERSION_base(4,7,0)
           @?= Left "Cannot unify Int and (->)"
-#else
-          @?= Left "Cannot unify Int and ->"
-#endif
       ]
 
   , testGroup "Examples of dynApply"
