diff --git a/effectful-core/src/Effectful/Dispatch/Dynamic.hs b/effectful-core/src/Effectful/Dispatch/Dynamic.hs
index 7caa3a6..5cb51ba 100644
--- a/effectful-core/src/Effectful/Dispatch/Dynamic.hs
+++ b/effectful-core/src/Effectful/Dispatch/Dynamic.hs
@@ -77,7 +77,7 @@ localSeqUnlift
   -- ^ Continuation with the unlifting function in scope.
   -> Eff es a
 localSeqUnlift (LocalEnv les) k = unsafeEff $ \es -> do
-  seqUnliftEff les $ \unlift -> do
+  seqUnliftIO les $ \unlift -> do
     (`unEff` es) $ k $ unsafeEff_ . unlift
 
 -- | Create a local unlifting function with the 'SeqUnlift' strategy. For the
@@ -89,7 +89,7 @@ localSeqUnliftIO
   -> ((forall r. Eff localEs r -> IO r) -> IO a)
   -- ^ Continuation with the unlifting function in scope.
   -> Eff es a
-localSeqUnliftIO (LocalEnv les) k = liftIO $ seqUnliftEff les k
+localSeqUnliftIO (LocalEnv les) k = liftIO $ seqUnliftIO les k
 
 -- | Create a local unlifting function with the given strategy.
 localUnlift
@@ -102,10 +102,10 @@ localUnlift
   -> Eff es a
 localUnlift (LocalEnv les) strategy k = case strategy of
   SeqUnlift -> unsafeEff $ \es -> do
-    seqUnliftEff les $ \unlift -> do
+    seqUnliftIO les $ \unlift -> do
       (`unEff` es) $ k $ unsafeEff_ . unlift
   ConcUnlift p l -> unsafeEff $ \es -> do
-    concUnliftEff les p l $ \unlift -> do
+    concUnliftIO les p l $ \unlift -> do
       (`unEff` es) $ k $ unsafeEff_ . unlift
 
 -- | Create a local unlifting function with the given strategy.
@@ -118,8 +118,8 @@ localUnliftIO
   -- ^ Continuation with the unlifting function in scope.
   -> Eff es a
 localUnliftIO (LocalEnv les) strategy k = case strategy of
-  SeqUnlift      -> liftIO $ seqUnliftEff les k
-  ConcUnlift p l -> liftIO $ concUnliftEff les p l k
+  SeqUnlift      -> liftIO $ seqUnliftIO les k
+  ConcUnlift p l -> liftIO $ concUnliftIO les p l k
 
 -- | Utility for lifting 'Eff' operations of type
 --
@@ -142,7 +142,7 @@ withLiftMap !_ k = unsafeEff $ \es -> do
   -- The LocalEnv parameter is not used, but we need it to constraint the
   -- localEs type variable. It's also strict so that callers don't cheat.
   (`unEff` es) $ k $ \mapEff m -> unsafeEff $ \localEs -> do
-    seqUnliftEff localEs $ \unlift -> do
+    seqUnliftIO localEs $ \unlift -> do
       (`unEff` es) . mapEff . unsafeEff_ $ unlift m
 
 -- | Utility for lifting 'IO' operations of type
@@ -180,7 +180,7 @@ withLiftMapIO
 withLiftMapIO !_ k = k $ \mapIO m -> unsafeEff $ \es -> do
   -- The LocalEnv parameter is not used, but we need it to constraint the
   -- localEs type variable. It's also strict so that callers don't cheat.
-  seqUnliftEff es $ \unlift -> mapIO $ unlift m
+  seqUnliftIO es $ \unlift -> mapIO $ unlift m
 
 ----------------------------------------
 -- Bidirectional lifts
@@ -202,12 +202,12 @@ localLiftUnlift
   -> Eff es a
 localLiftUnlift (LocalEnv les) strategy k = case strategy of
   SeqUnlift -> unsafeEff $ \es -> do
-    seqUnliftEff es $ \unliftEs -> do
-      seqUnliftEff les $ \unliftLocalEs -> do
+    seqUnliftIO es $ \unliftEs -> do
+      seqUnliftIO les $ \unliftLocalEs -> do
         (`unEff` es) $ k (unsafeEff_ . unliftEs) (unsafeEff_ . unliftLocalEs)
   ConcUnlift p l -> unsafeEff $ \es -> do
-    concUnliftEff es p l $ \unliftEs -> do
-      concUnliftEff les p l $ \unliftLocalEs -> do
+    concUnliftIO es p l $ \unliftEs -> do
+      concUnliftIO les p l $ \unliftLocalEs -> do
         (`unEff` es) $ k (unsafeEff_ . unliftEs) (unsafeEff_ . unliftLocalEs)
 
 -- | Create a local unlifting function with the given strategy along with an
@@ -227,8 +227,8 @@ localLiftUnliftIO
   -- ^ Continuation with the lifting and unlifting function in scope.
   -> Eff es a
 localLiftUnliftIO (LocalEnv les) strategy k = case strategy of
-  SeqUnlift      -> liftIO $ seqUnliftEff les $ k unsafeEff_
-  ConcUnlift p l -> liftIO $ concUnliftEff les p l $ k unsafeEff_
+  SeqUnlift      -> liftIO $ seqUnliftIO les $ k unsafeEff_
+  ConcUnlift p l -> liftIO $ concUnliftIO les p l $ k unsafeEff_
 
 -- $setup
 -- >>> import Control.Concurrent
diff --git a/effectful-core/src/Effectful/Dispatch/Static.hs b/effectful-core/src/Effectful/Dispatch/Static.hs
index 1a5b7cd..f4e3abe 100644
--- a/effectful-core/src/Effectful/Dispatch/Static.hs
+++ b/effectful-core/src/Effectful/Dispatch/Static.hs
@@ -46,6 +46,41 @@ module Effectful.Dispatch.Static
   , unEff
   ) where
 
+import GHC.Stack (HasCallStack)
+
 import Effectful.Internal.Effect
 import Effectful.Internal.Env
 import Effectful.Internal.Monad
+
+-- | Utility for lifting 'IO' operations of type
+--
+-- @'IO' a -> 'IO' b@
+--
+-- to
+--
+-- @'Eff' es a -> 'Eff' es b@
+--
+-- This function is __unsafe__ because:
+--
+-- - It can be used to introduce arbitrary 'IO' actions into pure 'Eff'
+--   operations.
+--
+-- - The 'IO' operation must not run its argument in a separate thread, but it's
+--   not checked anywhere.
+unsafeLiftMapIO :: (IO a -> IO b) -> Eff es a -> Eff es b
+unsafeLiftMapIO f m = unsafeEff $ \es -> f (unEff m es)
+
+-- | Utility for running 'Eff' computations locally in the 'IO' monad.
+--
+-- This function is __unsafe__ because:
+--
+-- - It can be used to introduce arbitrary 'IO' actions into pure 'Eff'
+--   operations.
+--
+-- - Unlifted 'Eff' operations must not be run in a thread distinct from the
+--   caller of 'unsafeUnliftIO', but it's not checked anywhere.
+unsafeUnliftIO
+  :: HasCallStack
+  => ((forall r. Eff es r -> IO r) -> IO a)
+  -> Eff es a
+unsafeUnliftIO k = unsafeEff $ \es -> k (`unEff` es)
diff --git a/effectful-core/src/Effectful/Internal/Monad.hs b/effectful-core/src/Effectful/Internal/Monad.hs
index 98b8521..f5beb63 100644
--- a/effectful-core/src/Effectful/Internal/Monad.hs
+++ b/effectful-core/src/Effectful/Internal/Monad.hs
@@ -36,10 +36,8 @@ module Effectful.Internal.Monad
   , UnliftError(..)
 
   --- *** Low-level helpers
-  , unsafeLiftMapIO
-  , unsafeUnliftIO
-  , seqUnliftEff
-  , concUnliftEff
+  , seqUnliftIO
+  , concUnliftIO
 
   -- * Effects
 
@@ -148,41 +146,8 @@ unsafeEff m = Eff (oneShot m)
 unsafeEff_ :: IO a -> Eff es a
 unsafeEff_ m = unsafeEff $ \_ -> m
 
--- | Utility for lifting 'IO' operations of type
---
--- @'IO' a -> 'IO' b@
---
--- to
---
--- @'Eff' es a -> 'Eff' es b@
---
--- This function is __unsafe__ because:
---
--- - It can be used to introduce arbitrary 'IO' actions into pure 'Eff'
---   operations.
---
--- - The 'IO' operation must not run its argument in a separate thread, but it's
---   not checked anywhere.
-unsafeLiftMapIO :: (IO a -> IO b) -> Eff es a -> Eff es b
-unsafeLiftMapIO f m = unsafeEff $ \es -> f (unEff m es)
-
--- | Utility for running 'Eff' computations locally in the 'IO' monad.
---
--- This function is __unsafe__ because:
---
--- - It can be used to introduce arbitrary 'IO' actions into pure 'Eff'
---   operations.
---
--- - Unlifted 'Eff' operations must not be run in a thread distinct from the
---   caller of 'unsafeUnliftIO', but it's not checked anywhere.
-unsafeUnliftIO
-  :: HasCallStack
-  => ((forall r. Eff es r -> IO r) -> IO a)
-  -> Eff es a
-unsafeUnliftIO k = unsafeEff $ \es -> k (`unEff` es)
-
 ----------------------------------------
--- Unlifting Eff
+-- Unlifting IO
 
 -- | Get the current 'UnliftStrategy'.
 unliftStrategy :: IOE :> es => Eff es UnliftStrategy
@@ -194,28 +159,6 @@ unliftStrategy = do
 withUnliftStrategy :: IOE :> es => UnliftStrategy -> Eff es a -> Eff es a
 withUnliftStrategy unlift = localEffect $ \_ -> IdE (IOE unlift)
 
--- | Lower 'Eff' operations into 'IO' ('SeqUnlift').
---
--- Exceptions thrown by this function:
---
---  - 'InvalidUseOfSeqUnlift' if the unlift function is used in another thread.
-seqUnliftEff
-  :: HasCallStack
-  => Env es
-  -> ((forall r. Eff es r -> IO r) -> IO a)
-  -> IO a
-seqUnliftEff es k = seqUnliftIO k es unEff
-
--- | Lower 'Eff' operations into 'IO' ('ConcUnlift').
-concUnliftEff
-  :: HasCallStack
-  => Env es
-  -> Persistence
-  -> Limit
-  -> ((forall r. Eff es r -> IO r) -> IO a)
-  -> IO a
-concUnliftEff es persistence limit k = concUnliftIO persistence limit k es unEff
-
 -- | Create an unlifting function with the current 'UnliftStrategy'.
 --
 -- This function is equivalent to 'withRunInIO', but has a 'HasCallStack'
@@ -229,9 +172,31 @@ withEffToIO
   -- ^ Continuation with the unlifting function in scope.
   -> Eff es a
 withEffToIO f = unliftStrategy >>= \case
-  SeqUnlift -> unsafeEff $ \es -> seqUnliftEff es f
+  SeqUnlift -> unsafeEff $ \es -> seqUnliftIO es f
   ConcUnlift p b -> withUnliftStrategy SeqUnlift $ do
-    unsafeEff $ \es -> concUnliftEff es p b f
+    unsafeEff $ \es -> concUnliftIO es p b f
+
+-- | Lower 'Eff' operations into 'IO' ('SeqUnlift').
+--
+-- Exceptions thrown by this function:
+--
+--  - 'InvalidUseOfSeqUnlift' if the unlift function is used in another thread.
+seqUnliftIO
+  :: HasCallStack
+  => Env es
+  -> ((forall r. Eff es r -> IO r) -> IO a)
+  -> IO a
+seqUnliftIO es k = seqUnlift k es unEff
+
+-- | Lower 'Eff' operations into 'IO' ('ConcUnlift').
+concUnliftIO
+  :: HasCallStack
+  => Env es
+  -> Persistence
+  -> Limit
+  -> ((forall r. Eff es r -> IO r) -> IO a)
+  -> IO a
+concUnliftIO es persistence limit k = concUnlift persistence limit k es unEff
 
 ----------------------------------------
 -- Base
diff --git a/effectful-core/src/Effectful/Internal/Unlift.hs b/effectful-core/src/Effectful/Internal/Unlift.hs
index a5c6731..6a4d6e1 100644
--- a/effectful-core/src/Effectful/Internal/Unlift.hs
+++ b/effectful-core/src/Effectful/Internal/Unlift.hs
@@ -13,10 +13,10 @@ module Effectful.Internal.Unlift
   , Limit(..)
 
     -- * Unlifting functions
-  , seqUnliftIO
-  , concUnliftIO
-  , ephemeralConcUnliftIO
-  , persistentConcUnliftIO
+  , seqUnlift
+  , concUnlift
+  , ephemeralConcUnlift
+  , persistentConcUnlift
 
     -- * Unlifting errors
   , UnliftError(..)
@@ -100,13 +100,13 @@ data Limit
 -- Exceptions thrown by this function:
 --
 --  - 'InvalidUseOfSeqUnlift' if the unlift function is used in another thread.
-seqUnliftIO
+seqUnlift
   :: HasCallStack
   => ((forall r. m r -> IO r) -> IO a)
   -> Env es
   -> (forall r. m r -> Env es -> IO r)
   -> IO a
-seqUnliftIO k es unEff = do
+seqUnlift k es unEff = do
   tid0 <- myThreadId
   k $ \m -> do
     tid <- myThreadId
@@ -115,7 +115,7 @@ seqUnliftIO k es unEff = do
       else throwIO InvalidUseOfSeqUnlift
 
 -- | Concurrent unlift for various strategies and limits.
-concUnliftIO
+concUnlift
   :: HasCallStack
   => Persistence
   -> Limit
@@ -123,14 +123,14 @@ concUnliftIO
   -> Env es
   -> (forall r. m r -> Env es -> IO r)
   -> IO a
-concUnliftIO Ephemeral (Limited uses) k =
-  ephemeralConcUnliftIO uses k
-concUnliftIO Ephemeral Unlimited k =
-  ephemeralConcUnliftIO maxBound k
-concUnliftIO Persistent (Limited threads) k =
-  persistentConcUnliftIO False threads k
-concUnliftIO Persistent Unlimited k =
-  persistentConcUnliftIO True maxBound k
+concUnlift Ephemeral (Limited uses) k =
+  ephemeralConcUnlift uses k
+concUnlift Ephemeral Unlimited k =
+  ephemeralConcUnlift maxBound k
+concUnlift Persistent (Limited threads) k =
+  persistentConcUnlift False threads k
+concUnlift Persistent Unlimited k =
+  persistentConcUnlift True maxBound k
 
 -- | Concurrent unlift that doesn't preserve the environment between calls to
 -- the unlifting function in threads other than its creator.
@@ -139,7 +139,7 @@ concUnliftIO Persistent Unlimited k =
 --
 --  - 'InvalidNumberOfUses' if the number of uses is less or equal zero.
 --  - 'ExceededNumberOfUses' if the unlift function is called too often.
-ephemeralConcUnliftIO
+ephemeralConcUnlift
   :: HasCallStack
   => Int
   -- ^ Number of permitted uses of the unlift function.
@@ -147,7 +147,7 @@ ephemeralConcUnliftIO
   -> Env es
   -> (forall r. m r -> Env es -> IO r)
   -> IO a
-ephemeralConcUnliftIO uses k es0 unEff = do
+ephemeralConcUnlift uses k es0 unEff = do
   unless (uses > 0) $ do
     throwIO $ InvalidNumberOfUses uses
   tid0 <- myThreadId
@@ -176,7 +176,7 @@ ephemeralConcUnliftIO uses k es0 unEff = do
 --  - 'InvalidNumberOfThreads' if the number of threads is less or equal zero.
 --  - 'ExceededNumberOfThreads' if the unlift function is called by too many
 --    threads.
-persistentConcUnliftIO
+persistentConcUnlift
   :: HasCallStack
   => Bool
   -> Int
@@ -185,7 +185,7 @@ persistentConcUnliftIO
   -> Env es
   -> (forall r. m r -> Env es -> IO r)
   -> IO a
-persistentConcUnliftIO cleanUp threads k es0 unEff = do
+persistentConcUnlift cleanUp threads k es0 unEff = do
   unless (threads > 0) $ do
     throwIO $ InvalidNumberOfThreads threads
   tid0 <- myThreadId