diff --git a/src/Lean/Server/AsyncList.lean b/src/Lean/Server/AsyncList.lean
index d922369886..496b8b740f 100644
--- a/src/Lean/Server/AsyncList.lean
+++ b/src/Lean/Server/AsyncList.lean
@@ -35,29 +35,22 @@ def ofList : List α → AsyncList ε α :=
 
 instance : Coe (List α) (AsyncList ε α) := ⟨ofList⟩
 
-private def coeErr {β} [Coe Error ε] (t : Task $ Except Error $ Except ε β) : Task (Except ε β) :=
-  t.map $ fun
-    | Except.ok v              => v
-    | Except.error (e : Error) => Except.error (e : ε)
-
 /-- A stateful step computation `f` is applied iteratively, forming an async
-stream. The stream ends once `f` returns `none` for the first time. The
-computation can throw IO exceptions, so to handle this `ε` must include
-`IO.Error`.
+stream. The stream ends once `f` returns `none` for the first time.
 
 For cooperatively cancelling an ongoing computation, we recommend referencing
 a cancellation token in `f` and checking it when appropriate. -/
-partial def unfoldAsync [Coe Error ε] (f : StateT σ (ExceptT ε IO) $ Option α) (init : σ)
-    : IO (AsyncList ε α) := do
-  let rec step (s : σ) : ExceptT ε IO (AsyncList ε α) := do
+partial def unfoldAsync (f : StateT σ (EIO ε) $ Option α) (init : σ)
+    : BaseIO (AsyncList ε α) := do
+  let rec step (s : σ) : EIO ε (AsyncList ε α) := do
     let (aNext, sNext) ← f s
     match aNext with
       | none => return nil
       | some aNext => do
-        let tNext ← coeErr <$> asTask (step sNext)
+        let tNext ← EIO.asTask (step sNext)
         return cons aNext $ asyncTail tNext
 
-  let tInit ← coeErr <$> asTask (step init)
+  let tInit ← EIO.asTask (step init)
   asyncTail tInit
 
 /-- The computed, synchronous list. If an async tail was present, returns also
@@ -73,7 +66,7 @@ partial def getAll : AsyncList ε α → List α × Option ε
     | Except.error e => ⟨[], some e⟩
 
 /-- Spawns a `Task` waiting on the prefix of elements for which `p` is true. -/
-partial def waitAll [Coe Error ε] (p : α → Bool := fun _ => true) : AsyncList ε α → BaseIO (Task (List α × Option ε))
+partial def waitAll (p : α → Bool := fun _ => true) : AsyncList ε α → BaseIO (Task (List α × Option ε))
   | cons hd tl => do
     if p hd then
       let t ← tl.waitAll p
@@ -82,26 +75,22 @@ partial def waitAll [Coe Error ε] (p : α → Bool := fun _ => true) : AsyncLis
       return Task.pure ⟨[hd], none⟩
   | nil => return Task.pure ⟨[], none⟩
   | asyncTail tl => do
-    let t : Task (Except IO.Error (List α × Option ε)) ← BaseIO.bindTask tl fun
-      | Except.ok tl => Task.map Except.ok <$> tl.waitAll p
-      | Except.error e => return Task.pure <| Except.ok ⟨[], some e⟩
-    t.map fun
-      | Except.error e => ⟨[], some e⟩
-      | Except.ok v => v
+    BaseIO.bindTask tl fun
+      | Except.ok tl   => tl.waitAll p
+      | Except.error e => Task.pure ⟨[], some e⟩
 
 /-- Spawns a `Task` acting like `List.find?` but which will wait for tail evalution
 when necessary to traverse the list. If the tail terminates before a matching element
 is found, the task throws the terminating value. -/
-partial def waitFind? (p : α → Bool) [Coe Error ε] : AsyncList ε α → BaseIO (Task $ Except ε $ Option α)
+partial def waitFind? (p : α → Bool) : AsyncList ε α → BaseIO (Task $ Except ε $ Option α)
   | nil => return Task.pure <| Except.ok none
   | cons hd tl => do
     if p hd then return Task.pure <| Except.ok <| some hd
     else tl.waitFind? p
   | asyncTail tl => do
-    let t ← BaseIO.bindTask tl fun
-      | Except.ok tl => Task.map Except.ok <$> tl.waitFind? p
-      | Except.error e => return Task.pure <| Except.ok <| Except.error e
-    coeErr t
+    BaseIO.bindTask tl fun
+      | Except.ok tl   => tl.waitFind? p
+      | Except.error e => Task.pure <| Except.error e
 
 /-- Extends the `finishedPrefix` as far as possible. If computation was ongoing
 and has finished, also returns the terminating value. -/
diff --git a/src/Lean/Server/FileWorker.lean b/src/Lean/Server/FileWorker.lean
index 584fac7052..b0e2b86aac 100644
--- a/src/Lean/Server/FileWorker.lean
+++ b/src/Lean/Server/FileWorker.lean
@@ -72,7 +72,7 @@ section Elab
   private def AsyncElabState.lastSnap (s : AsyncElabState) : Snapshot :=
     s.snaps.getD (s.snaps.size - 1) s.headerSnap
 
-  abbrev AsyncElabM := StateT AsyncElabState $ ExceptT ElabTaskError IO
+  abbrev AsyncElabM := StateT AsyncElabState <| EIO ElabTaskError
 
   -- Placed here instead of Lean.Server.Utils because of an import loop
   private def publishReferences (m : DocumentMeta) (s : AsyncElabState) (hOut : FS.Stream) : IO Unit := do
diff --git a/src/Lean/Server/FileWorker/Utils.lean b/src/Lean/Server/FileWorker/Utils.lean
index 73f4903a6a..0a9b9363d4 100644
--- a/src/Lean/Server/FileWorker/Utils.lean
+++ b/src/Lean/Server/FileWorker/Utils.lean
@@ -24,6 +24,9 @@ inductive ElabTaskError where
 instance : Coe IO.Error ElabTaskError :=
   ⟨ElabTaskError.ioError⟩
 
+instance : MonadLift IO (EIO ElabTaskError) where
+  monadLift act := act.toEIO (coe ·)
+
 structure CancelToken where
   ref : IO.Ref Bool
   deriving Inhabited