diff --git a/Qpf/Macro/Data.lean b/Qpf/Macro/Data.lean
index 680b1aa..393935c 100644
--- a/Qpf/Macro/Data.lean
+++ b/Qpf/Macro/Data.lean
@@ -540,7 +540,9 @@ open Macro Comp in
 def elabData : CommandElab := fun stx => do
   let modifiers ← elabModifiers stx[0]
   let decl := stx[1]
+
   let view ← dataSyntaxToView modifiers decl
+  let view ← preProcessCtors view -- Transforms binders into simple lambda types
 
   let (nonRecView, ⟨r, shape, _P, eff⟩) ← runTermElabM fun _ => do
     let (nonRecView, _rho) ← makeNonRecursive view;
diff --git a/Qpf/Macro/Data/Replace.lean b/Qpf/Macro/Data/Replace.lean
index 4788ba8..9120cee 100644
--- a/Qpf/Macro/Data/Replace.lean
+++ b/Qpf/Macro/Data/Replace.lean
@@ -17,6 +17,7 @@ structure CtorArgs where
   (args : Array Name)
   (per_type : Array (Array Name))
 
+/- TODO(@William): make these correspond by combining expr and vars into a product -/
 structure Replace where
   (expr: Array Term)
   (vars: Array Name)
@@ -59,7 +60,7 @@ def Replace.getBinders {m} [Monad m] [MonadQuotation m] (r : Replace) : m <| TSy
 
 
 
-
+/- TODO: Figure out how to break this up into section -/
 
 
 
@@ -117,13 +118,9 @@ private partial def setResultingType (res_type : Syntax) : Syntax → ReplaceM m
   | _ => 
       pure res_type
 
-
+-- TODO: this should be deprecated in favour of {v with ...} syntax
 def CtorView.withType? (ctor : CtorView) (type? : Option Syntax) : CtorView := {
-  ref       := ctor.ref
-  modifiers := ctor.modifiers
-  declName  := ctor.declName
-  binders   := ctor.binders
-  type?     := type?
+  ctor with type?
 }
 
 /-
@@ -147,6 +144,34 @@ def Replace.run : ReplaceM m α → m (α × Replace) :=
     let r ← Replace.new
     StateT.run x r
 
+/-- Parse `Syntax` for an explicit binder into a `BinderView`.
+    This duplicates parts of `Lean.Elab.Term.toBinderViews; this is required because the latter is private -/
+def getBinderView (ref : Syntax): m BinderView := match ref with
+  | .node _ `Lean.Parser.Term.explicitBinder
+    #[_, id, (.node _ `null #[_, ty]), _, _] =>
+    return .mk ref id ty .default
+    /- pure (ids, ty) -/
+  | _ => Elab.throwUnsupportedSyntax
+
+/-- This function takes in a DataView with possibly explicit binders.
+    It then runs a simple scheme to translate them into (non-dependent) lambdas.
+    Then it also tries to infer an output type to handle the case with no type.
+    Finally it stiches all of this together to an output type-/
+def preProcessCtors (view : DataView) : m DataView := do
+  let ctors ← view.ctors.mapM fun ctor => do
+    let namedArgs ← ctor.binders.getArgs.mapM getBinderView
+    let flatArgs :=
+      (namedArgs.map (fun b => b.id.getArgs.map (fun _ => ⟨b.type⟩)))
+      |>.flatten.reverse
+
+    let ty := if let some x := ctor.type? then x else view.getExpectedType
+
+    let out_ty ← flatArgs.foldlM (fun acc curr => `($curr → $acc)) (⟨ty⟩)
+
+    pure { ctor with binders := .missing, type? := some out_ty }
+
+  pure { view with ctors }
+
 /--
   Extract the constructors for a "shape" functor from the original constructors.
   It replaces all constructor arguments with fresh variables, ensuring that repeated occurences
@@ -169,6 +194,8 @@ Replace.run <| do
   let ctors := view.ctors
 
   let pairs ← ctors.mapM fun ctor => do
+    /- We do not need to check for binders as the preprocessort fixes this.
+       We keep the test in case it goes wrong. -/
     if !ctor.binders.isNone then
       throwErrorAt ctor.binders "Constructor binders are not supported yet, please provide all arguments in the type"
 
@@ -184,7 +211,7 @@ Replace.run <| do
   let ctors := pairs.map Prod.fst;
   let ctorArgs := pairs.map fun ⟨_, ctorArgs⟩ =>
       let per_type := ctorArgs.per_type
-      
+
       let diff := r.vars.size - ctorArgs.per_type.size
 
       -- HACK: It seems that `Array.append` causes a stack overflow, so we go through `List` for now
@@ -268,4 +295,4 @@ def makeNonRecursive (view : DataView) : MetaM (DataView × Name) := do
     return CtorView.withType? ctor type?
 
   let view := view.setCtors ctors
-  pure (view, rec)
\ No newline at end of file
+  pure (view, rec)
diff --git a/Test.lean b/Test.lean
index ab8da07..6003607 100644
--- a/Test.lean
+++ b/Test.lean
@@ -7,5 +7,5 @@ import Test.List
 import Test.Misc
 import Test.Tree
 -- import Test.Variable
--- import Test.WithBindersInCtor
+import Test.WithBindersInCtor
 import Test.Wrap
diff --git a/Test/WithBindersInCtor.lean b/Test/WithBindersInCtor.lean
index af4fa54..4b56fce 100644
--- a/Test/WithBindersInCtor.lean
+++ b/Test/WithBindersInCtor.lean
@@ -1,5 +1,13 @@
-import Qpf
+import Qpf.Macro.Data
 
-data QpfListWithBinder α 
+data QpfListWithBinder α
+  | cons (h : α) (tl : QpfListWithBinder α)
   | nil
-  | cons (hd : α) (tl : QpfListWithBinder α)
\ No newline at end of file
+
+data Wrap α
+  | mk : α → Wrap α
+data Wrap₂ α
+  | mk (a : α) : Wrap₂ α
+data Wrap₃ α
+  | mk (a : α)
+