diff --git a/build.sbt b/build.sbt
index 1a9f98f..3d59512 100644
--- a/build.sbt
+++ b/build.sbt
@@ -4,7 +4,7 @@ lazy val core = (project in file("core")).settings(
   version := "2.0.0-SNAPSHOT",
   scalaVersion := "2.13.5",
   libraryDependencies ++= Seq(
-    "tf.bug" %% "shinji" % "0.1.6",
+    "tf.bug" %% "shinji" % "0.1.8",
     "com.lihaoyi" %% "pprint" % "0.5.6",
   ),
 )
diff --git a/core/src/main/scala/tf/bug/fancade/Fanscript.scala b/core/src/main/scala/tf/bug/fancade/Fanscript.scala
index 623e5e6..cc4fb62 100644
--- a/core/src/main/scala/tf/bug/fancade/Fanscript.scala
+++ b/core/src/main/scala/tf/bug/fancade/Fanscript.scala
@@ -5,216 +5,720 @@ import tf.bug.shinji.{Arrow, ArrowLoop, Cartesian, Monoidal}
 object Fanscript {
 
   sealed trait Pin
-  sealed trait Number extends Pin
-  sealed trait Bool extends Pin
-  sealed trait Vector extends Pin
-  sealed trait Rotation extends Pin
-  sealed trait Obj extends Pin
-  sealed trait Constraint extends Pin
-  sealed trait Pull extends Pin
-  sealed trait T extends Pin
-  sealed trait ×[A <: Pin, B <: Pin] extends Pin
+  case object Number extends Pin
+  case object Bool extends Pin
+  case object Vector extends Pin
+  case object Rotation extends Pin
+  case object Obj extends Pin
+  case object Constraint extends Pin
+  case object Pull extends Pin
+  case object T extends Pin
+  case class ×[A <: Pin, B <: Pin](a: A, b: B) extends Pin
 
-  sealed trait →[A <: Pin, B <: Pin]
-  case class Id[A <: Pin]() extends (A → A)
-  case class AndThen[A <: Pin, B <: Pin, C <: Pin](f: A → B, g: B → C) extends (A → C)
-  case class Swap[A <: Pin, B <: Pin]() extends ((A × B) → (B × A))
-  case class Deunit[A <: Pin]() extends (A → (T × A))
-  case class Unit[A <: Pin]() extends ((T × A) → A)
-  case class Associate[A <: Pin, B <: Pin, C <: Pin]() extends (((A × B) × C) → (A × (B × C)))
-  case class Duplicate[A <: Pin]() extends (A → (A × A))
-  case class Terminate[A <: Pin]() extends (A → T)
-  case class Bimap[A <: Pin, B <: Pin, C <: Pin, D <: Pin](f: A → B, g: C → D) extends ((A × C) → (B × D))
-  case class Loop[A <: Pin, B <: Pin, C <: Pin](f: (A × C) → (B × C)) extends (A → B)
+  trait PinEv[A <: Pin] {
+    val value: A
+  }
+  object PinEv {
+    implicit val pinValueForNumber: PinEv[Number.type] = new PinEv[Number.type] {
+      override val value: Number.type = Number
+    }
+    implicit val pinValueForBool: PinEv[Bool.type] = new PinEv[Bool.type] {
+      override val value: Bool.type = Bool
+    }
+    implicit val pinValueForVector: PinEv[Vector.type] = new PinEv[Vector.type] {
+      override val value: Vector.type = Vector
+    }
+    implicit val pinValueForRotation: PinEv[Rotation.type] = new PinEv[Rotation.type] {
+      override val value: Rotation.type = Rotation
+    }
+    implicit val pinValueForObj: PinEv[Obj.type] = new PinEv[Obj.type] {
+      override val value: Obj.type = Obj
+    }
+    implicit val pinValueForConstraint: PinEv[Constraint.type] = new PinEv[Constraint.type] {
+      override val value: Constraint.type = Constraint
+    }
+    implicit val pinValueForPull: PinEv[Pull.type] = new PinEv[Pull.type] {
+      override val value: Pull.type = Pull
+    }
+    implicit val pinValueForT: PinEv[T.type] = new PinEv[T.type] {
+      override val value: T.type = T
+    }
+    implicit def pinValueForProduct[A <: Pin, B <: Pin](implicit left: PinEv[A], right: PinEv[B]): PinEv[A × B] = new PinEv[A × B] {
+      override val value: A × B = ×(left.value, right.value)
+    }
+  }
 
-  case object Z extends (T → Pull)
+  sealed trait →[A <: Pin, B <: Pin] {
+    def left: A
+    def right: B
+
+    final def leftEv: PinEv[A] = new PinEv[A] {
+      override val value: A = left
+    }
+    final def rightEv: PinEv[B] = new PinEv[B] {
+      override val value: B = right
+    }
+
+    final def andThen[C <: Pin](f: B → C): A → C =
+      fanscript.andThen(this, f)
+    final def >>>[C <: Pin](f: B → C): A → C =
+      andThen(f)
+
+    final def compose[C <: Pin](f: C → A): C → B =
+      fanscript.compose(this, f)
+    final def <<<[C <: Pin](f: C → A): C → B =
+      compose(f)
+
+    final def split[C <: Pin, D <: Pin](f: C → D): (A × C) → (B × D) =
+      fanscript.split(this, f)
+    final def ***[C <: Pin, D <: Pin](f: C → D): (A × C) → (B × D) =
+      split(f)
+
+    final def merge[C <: Pin](f: A → C): A → (B × C) =
+      fanscript.merge(this, f)
+    final def &&&[C <: Pin](f: A → C): A → (B × C) =
+      merge(f)
+  }
+  case class Id[A <: Pin](a: A) extends (A → A) {
+    override def left: A = a
+    override def right: A = a
+  }
+  case class AndThen[A <: Pin, B <: Pin, C <: Pin](f: A → B, g: B → C) extends (A → C) {
+    override def left: A = f.left
+    override def right: C = g.right
+  }
+  case class Swap[A <: Pin, B <: Pin](a: A, b: B) extends ((A × B) → (B × A)) {
+    override def left: A × B = ×(a, b)
+    override def right: B × A = ×(b, a)
+  }
+  case class Deunit[A <: Pin](a: A) extends (A → (T.type × A)) {
+    override def left: A = a
+    override def right: T.type × A = ×(T, a)
+  }
+  case class Unit[A <: Pin](a: A) extends ((T.type × A) → A) {
+    override def left: T.type × A = ×(T, a)
+    override def right: A = a
+  }
+  case class Associate[A <: Pin, B <: Pin, C <: Pin](a: A, b: B, c: C) extends (((A × B) × C) → (A × (B × C))) {
+    override def left: (A × B) × C = ×(×(a, b), c)
+    override def right: A × (B × C) = ×(a, ×(b, c))
+  }
+  case class Duplicate[A <: Pin](a: A) extends (A → (A × A)) {
+    override def left: A = a
+    override def right: A × A = ×(a, a)
+  }
+  case class Terminate[A <: Pin](a: A) extends (A → T.type) {
+    override def left: A = a
+    override def right: T.type = T
+  }
+  case class Bimap[A <: Pin, B <: Pin, C <: Pin, D <: Pin](f: A → B, g: C → D) extends ((A × C) → (B × D)) {
+    override def left: A × C = ×(f.left, g.left)
+    override def right: B × D = ×(f.right, g.right)
+  }
+  case class Loop[A <: Pin, B <: Pin, C <: Pin](f: (A × C) → (B × C)) extends (A → B) {
+    override def left: A = f.left.a
+    override def right: B = f.right.a
+  }
+
+  case object Z extends (T.type → Pull.type) {
+    override def left: T.type = T
+    override def right: Pull.type = Pull
+  }
+
+  def bubbleSort[In <: Pin, Out <: Pin](sort: Vector[Int])(implicit inEv: PinEv[In], outEv: PinEv[Out]): Option[In → Out] = {
+    ???
+  }
 
   object Builtin {
 
-    case class NumberValue(number: Float) extends (T → Number)
-    case class VectorValue(x: Float, y: Float, z: Float) extends (T → Vector)
-    case class RotationValue(x: Float, y: Float, z: Float) extends (T → Rotation)
-    case object TrueValue extends (T → Bool)
-    case object FalseValue extends (T → Bool)
+    case class NumberValue(number: Float) extends (T.type → Number.type) {
+      override def left: T.type = T
+      override def right: Number.type = Number
+    }
+    case class VectorValue(x: Float, y: Float, z: Float) extends (T.type → Vector.type) {
+      override def left: T.type = T
+      override def right: Vector.type = Vector
+    }
+    case class RotationValue(x: Float, y: Float, z: Float) extends (T.type → Rotation.type) {
+      override def left: T.type = T
+      override def right: Rotation.type = Rotation
+    }
+    case object TrueValue extends (T.type → Bool.type) {
+      override def left: T.type = T
+      override def right: Bool.type = Bool
+    }
+    case object FalseValue extends (T.type → Bool.type) {
+      override def left: T.type = T
+      override def right: Bool.type = Bool
+    }
 
-    case object InspectNumber extends ((Number × Pull) → Pull)
-    case object InspectVector extends ((Vector × Pull) → Pull)
-    case object InspectRotation extends ((Rotation × Pull) → Pull)
-    case object InspectTruth extends ((Bool × Pull) → Pull)
-    case object InspectObject extends ((Obj × Pull) → Pull)
+    case object InspectNumber extends ((Number.type × Pull.type) → Pull.type) {
+      override def left: Number.type × Pull.type = ×(Number, Pull)
+      override def right: Pull.type = Pull
+    }
+    case object InspectVector extends ((Vector.type × Pull.type) → Pull.type) {
+      override def left: Vector.type × Pull.type = ×(Vector, Pull)
+      override def right: Pull.type = Pull
+    }
+    case object InspectRotation extends ((Rotation.type × Pull.type) → Pull.type) {
+      override def left: Rotation.type × Pull.type = ×(Rotation, Pull)
+      override def right: Pull.type = Pull
+    }
+    case object InspectTruth extends ((Bool.type × Pull.type) → Pull.type) {
+      override def left: Bool.type × Pull.type = ×(Bool, Pull)
+      override def right: Pull.type = Pull
+    }
+    case object InspectObject extends ((Obj.type × Pull.type) → Pull.type) {
+      override def left: Obj.type × Pull.type = ×(Obj, Pull)
+      override def right: Pull.type = Pull
+    }
 
-    case object Win extends (Pull → Pull)
-    case object Lose extends (Pull → Pull)
-    case object SetScore extends ((Number × Pull) → Pull)
-    case object SetCamera extends ((Vector × Rotation × Number × Pull) → Pull)
-    case object SetLight extends ((Vector × Rotation × Pull) → Pull)
-    case object ScreenSize extends (T → (Number × Number))
-    case object Accelerometer extends (T → Vector)
-    case object CurrentFrame extends (T → Number)
+    case object Win extends (Pull.type → Pull.type) {
+      override def left: Pull.type = Pull
+      override def right: Pull.type = Pull
+    }
+    case object Lose extends (Pull.type → Pull.type) {
+      override def left: Pull.type = Pull
+      override def right: Pull.type = Pull
+    }
+    case object SetScore extends ((Number.type × Pull.type) → Pull.type) {
+      override def left: Number.type × Pull.type = ×(Number, Pull)
+      override def right: Pull.type = Pull
+    }
+    case object SetCamera extends ((Vector.type × Rotation.type × Number.type × Pull.type) → Pull.type) {
+      override def left: Vector.type × Rotation.type × Number.type × Pull.type = ×(×(×(Vector, Rotation), Number), Pull)
+      override def right: Pull.type = Pull
+    }
+    case object SetLight extends ((Vector.type × Rotation.type × Pull.type) → Pull.type) {
+      override def left: Vector.type × Rotation.type × Pull.type = ×(×(Vector, Rotation), Pull)
+      override def right: Pull.type = Pull
+    }
+    case object ScreenSize extends (T.type → (Number.type × Number.type)) {
+      override def left: T.type = T
+      override def right: Number.type × Number.type = ×(Number, Number)
+    }
+    case object Accelerometer extends (T.type → Vector.type) {
+      override def left: T.type = T
+      override def right: Vector.type = Vector
+    }
+    case object CurrentFrame extends (T.type → Number.type) {
+      override def left: T.type = T
+      override def right: Number.type = Number
+    }
 
-    case object GetPosition extends (Obj → (Vector × Rotation))
-    case object SetPosition extends ((Obj × Vector × Rotation × Pull) → Pull)
-    case object Raycast extends ((Vector × Vector) → (Bool × Vector × Obj))
-    case object GetSize extends (Obj → (Vector × Vector))
-    case object SetVisible extends ((Obj × Bool × Pull) → Pull)
-    case object CreateObject extends ((Obj × Pull) → (Obj × Pull))
-    case object DestroyObject extends ((Obj × Pull) → Pull)
+    case object GetPosition extends (Obj.type → (Vector.type × Rotation.type)) {
+      override def left: Obj.type = Obj
+      override def right: Vector.type × Rotation.type = ×(Vector, Rotation)
+    }
+    case object SetPosition extends ((Obj.type × Vector.type × Rotation.type × Pull.type) → Pull.type) {
+      override def left: Obj.type × Vector.type × Rotation.type × Pull.type = ×(×(×(Obj, Vector), Rotation), Pull)
+      override def right: Pull.type = Pull
+    }
+    case object Raycast extends ((Vector.type × Vector.type) → (Bool.type × Vector.type × Obj.type)) {
+      override def left: Vector.type × Vector.type = ×(Vector, Vector)
+      override def right: Bool.type × Vector.type × Obj.type = ×(×(Bool, Vector), Obj)
+    }
+    case object GetSize extends (Obj.type → (Vector.type × Vector.type)) {
+      override def left: Obj.type = Obj
+      override def right: Vector.type × Vector.type = ×(Vector, Vector)
+    }
+    case object SetVisible extends ((Obj.type × Bool.type × Pull.type) → Pull.type) {
+      override def left: Obj.type × Bool.type × Pull.type = ×(×(Obj, Bool), Pull)
+      override def right: Pull.type = Pull
+    }
+    case object CreateObject extends ((Obj.type × Pull.type) → (Obj.type × Pull.type)) {
+      override def left: Obj.type × Pull.type = ×(Obj, Pull)
+      override def right: Obj.type × Pull.type = ×(Obj, Pull)
+    }
+    case object DestroyObject extends ((Obj.type × Pull.type) → Pull.type) {
+      override def left: Obj.type × Pull.type = ×(Obj, Pull)
+      override def right: Pull.type = Pull
+    }
 
-    case class PlaySound(loop: Boolean, sample: SoundSample) extends ((Number × Number × Pull) → (Number × Pull))
-    case object StopSound extends ((Number × Pull) → Pull)
-    case object VolumePitch extends ((Number × Number × Number × Pull) → Pull)
+    case class PlaySound(loop: Boolean, sample: SoundSample) extends ((Number.type × Number.type × Pull.type) → (Number.type × Pull.type)) {
+      override def left: Number.type × Number.type × Pull.type = ×(×(Number, Number), Pull)
+      override def right: Number.type × Pull.type = ×(Number, Pull)
+    }
+    case object StopSound extends ((Number.type × Pull.type) → Pull.type) {
+      override def left: Number.type × Pull.type = ×(Number, Pull)
+      override def right: Pull.type = Pull
+    }
+    case object VolumePitch extends ((Number.type × Number.type × Number.type × Pull.type) → Pull.type) {
+      override def left: Number.type × Number.type × Number.type × Pull.type = ×(×(×(Number, Number), Number), Pull)
+      override def right: Pull.type = Pull
+    }
 
-    case object AddForce extends ((Obj × Vector × Vector × Vector × Vector × Pull) → Pull)
-    case object GetVelocity extends (Obj → (Vector × Vector))
-    case object SetVelocity extends ((Obj × Vector × Vector × Pull) → Pull)
-    case object SetLocked extends ((Obj × Vector × Vector × Pull) → Pull)
-    case object SetMass extends ((Obj × Number × Pull) → Pull)
-    case object SetFriction extends ((Obj × Number × Pull) → Pull)
-    case object SetBounciness extends ((Obj × Number × Pull) → Pull)
-    case object SetGravity extends ((Vector × Pull) → Pull)
-    case object AddConstraint extends ((Obj × Obj × Vector × Pull) → (Constraint × Pull))
-    case object LinearLimits extends ((Constraint × Vector × Vector × Pull) → Pull)
-    case object AngularLimits extends ((Constraint × Vector × Vector × Pull) → Pull)
-    case object LinearSpring extends ((Constraint × Vector × Vector × Pull) → Pull)
-    case object AngularSpring extends ((Constraint × Vector × Vector × Pull) → Pull)
-    case object LinearMotor extends ((Constraint × Vector × Vector × Pull) → Pull)
-    case object AngularMotor extends ((Constraint × Vector × Vector × Pull) → Pull)
+    case object AddForce extends ((Obj.type × Vector.type × Vector.type × Vector.type × Vector.type × Pull.type) → Pull.type) {
+      override def left: Obj.type × Vector.type × Vector.type × Vector.type × Vector.type × Pull.type = ×(×(×(×(×(Obj, Vector), Vector), Vector), Vector), Pull)
+      override def right: Pull.type = Pull
+    }
+    case object GetVelocity extends (Obj.type → (Vector.type × Vector.type)) {
+      override def left: Obj.type = Obj
+      override def right: Vector.type × Vector.type = ×(Vector, Vector)
+    }
+    case object SetVelocity extends ((Obj.type × Vector.type × Vector.type × Pull.type) → Pull.type) {
+      override def left: Obj.type × Vector.type × Vector.type × Pull.type = ×(×(×(Obj, Vector), Vector), Pull)
+      override def right: Pull.type = Pull
+    }
+    case object SetLocked extends ((Obj.type × Vector.type × Vector.type × Pull.type) → Pull.type) {
+      override def left: Obj.type × Vector.type × Vector.type × Pull.type = ×(×(×(Obj, Vector), Vector), Pull)
+      override def right: Pull.type = Pull
+    }
+    case object SetMass extends ((Obj.type × Number.type × Pull.type) → Pull.type) {
+      override def left: Obj.type × Number.type × Pull.type = ×(×(Obj, Number), Pull)
+      override def right: Pull.type = Pull
+    }
+    case object SetFriction extends ((Obj.type × Number.type × Pull.type) → Pull.type) {
+      override def left: Obj.type × Number.type × Pull.type = ×(×(Obj, Number), Pull)
+      override def right: Pull.type = Pull
+    }
+    case object SetBounciness extends ((Obj.type × Number.type × Pull.type) → Pull.type) {
+      override def left: Obj.type × Number.type × Pull.type = ×(×(Obj, Number), Pull)
+      override def right: Pull.type = Pull
+    }
+    case object SetGravity extends ((Vector.type × Pull.type) → Pull.type) {
+      override def left: Vector.type × Pull.type = ×(Vector, Pull)
+      override def right: Pull.type = Pull
+    }
+    case object AddConstraint extends ((Obj.type × Obj.type × Vector.type × Pull.type) → (Constraint.type × Pull.type)) {
+      override def left: Obj.type × Obj.type × Vector.type × Pull.type = ×(×(×(Obj, Obj), Vector), Pull)
+      override def right: Constraint.type × Pull.type = ×(Constraint, Pull)
+    }
+    case object LinearLimits extends ((Constraint.type × Vector.type × Vector.type × Pull.type) → Pull.type) {
+      override def left: Constraint.type × Vector.type × Vector.type × Pull.type = ×(×(×(Constraint, Vector), Vector), Pull)
+      override def right: Pull.type = Pull
+    }
+    case object AngularLimits extends ((Constraint.type × Vector.type × Vector.type × Pull.type) → Pull.type) {
+      override def left: Constraint.type × Vector.type × Vector.type × Pull.type = ×(×(×(Constraint, Vector), Vector), Pull)
+      override def right: Pull.type = Pull
+    }
+    case object LinearSpring extends ((Constraint.type × Vector.type × Vector.type × Pull.type) → Pull.type) {
+      override def left: Constraint.type × Vector.type × Vector.type × Pull.type = ×(×(×(Constraint, Vector), Vector), Pull)
+      override def right: Pull.type = Pull
+    }
+    case object AngularSpring extends ((Constraint.type × Vector.type × Vector.type × Pull.type) → Pull.type) {
+      override def left: Constraint.type × Vector.type × Vector.type × Pull.type = ×(×(×(Constraint, Vector), Vector), Pull)
+      override def right: Pull.type = Pull
+    }
+    case object LinearMotor extends ((Constraint.type × Vector.type × Vector.type × Pull.type) → Pull.type) {
+      override def left: Constraint.type × Vector.type × Vector.type × Pull.type = ×(×(×(Constraint, Vector), Vector), Pull)
+      override def right: Pull.type = Pull
+    }
+    case object AngularMotor extends ((Constraint.type × Vector.type × Vector.type × Pull.type) → Pull.type) {
+      override def left: Constraint.type × Vector.type × Vector.type × Pull.type = ×(×(×(Constraint, Vector), Vector), Pull)
+      override def right: Pull.type = Pull
+    }
 
-    case object If extends ((Bool × Pull × Pull × Pull) → Pull)
-    case object OnPlay extends ((Pull × Pull) → Pull)
-    case object LateUpdate extends ((Pull × Pull) → Pull)
-    case object BoxArt extends ((Pull × Pull) → Pull)
-    case class OnTouch(event: TouchEvent, finger: TouchFinger) extends ((Pull × Pull) → (Number × Number × Pull))
-    case object OnSwipe extends ((Pull × Pull) → (Vector × Pull))
-    case object OnCollision extends ((Obj × Pull × Pull) → (Obj × Number × Vector × Pull))
-    case object Loop extends ((Number × Number × Pull × Pull) → (Number × Pull))
+    case object If extends ((Bool.type × Pull.type × Pull.type × Pull.type) → Pull.type) {
+      override def left: Bool.type × Pull.type × Pull.type × Pull.type = ×(×(×(Bool, Pull), Pull), Pull)
+      override def right: Pull.type = Pull
+    }
+    case object OnPlay extends ((Pull.type × Pull.type) → Pull.type) {
+      override def left: Pull.type × Pull.type = ×(Pull, Pull)
+      override def right: Pull.type = Pull
+    }
+    case object LateUpdate extends ((Pull.type × Pull.type) → Pull.type) {
+      override def left: Pull.type × Pull.type = ×(Pull, Pull)
+      override def right: Pull.type = Pull
+    }
+    case object BoxArt extends ((Pull.type × Pull.type) → Pull.type) {
+      override def left: Pull.type × Pull.type = ×(Pull, Pull)
+      override def right: Pull.type = Pull
+    }
+    case class OnTouch(event: TouchEvent, finger: TouchFinger) extends ((Pull.type × Pull.type) → (Number.type × Number.type × Pull.type)) {
+      override def left: Pull.type × Pull.type = ×(Pull, Pull)
+      override def right: Number.type × Number.type × Pull.type = ×(×(Number, Number), Pull)
+    }
+    case object OnSwipe extends ((Pull.type × Pull.type) → (Vector.type × Pull.type)) {
+      override def left: Pull.type × Pull.type = ×(Pull, Pull)
+      override def right: Vector.type × Pull.type = ×(Vector, Pull)
+    }
+    case object OnCollision extends ((Obj.type × Pull.type × Pull.type) → (Obj.type × Number.type × Vector.type × Pull.type)) {
+      override def left: Obj.type × Pull.type × Pull.type = ×(×(Obj, Pull), Pull)
+      override def right: Obj.type × Number.type × Vector.type × Pull.type = ×(×(×(Obj, Number), Vector), Pull)
+    }
+    case object Loop extends ((Number.type × Number.type × Pull.type × Pull.type) → (Number.type × Pull.type)) {
+      override def left: Number.type × Number.type × Pull.type × Pull.type = ×(×(×(Number, Number), Pull), Pull)
+      override def right: Number.type × Pull.type = ×(Number, Pull)
+    }
 
-    case object Negate extends (Number → Number)
-    case object Inverse extends (Rotation → Rotation)
-    case object AddNumbers extends ((Number × Number) → Number)
-    case object AddVectors extends ((Vector × Vector) → Vector)
-    case object SubtractNumbers extends ((Number × Number) → Number)
-    case object SubtractVectors extends ((Vector × Vector) → Vector)
-    case object Multiply extends ((Number × Number) → Number)
-    case object Scale extends ((Vector × Number) → Vector)
-    case object Rotate extends ((Vector × Rotation) → Vector)
-    case object Combine extends ((Rotation × Rotation) → Rotation)
-    case object Divide extends ((Number × Number) → Number)
-    case object Power extends ((Number × Number) → Number)
-    case object EqualNumbers extends ((Number × Number) → Bool)
-    case object EqualVectors extends ((Vector × Vector) → Bool)
-    case object EqualObjects extends ((Obj × Obj) → Bool)
-    case object EqualTruths extends ((Bool × Bool) → Bool)
-    case object LessThan extends ((Number × Number) → Bool)
-    case object GreaterThan extends ((Number × Number) → Bool)
-    case object And extends ((Bool × Bool) → Bool)
-    case object Or extends ((Bool × Bool) → Bool)
-    case object Not extends (Bool → Bool)
-    case object Random extends ((Number × Number) → Number)
-    case object RandomSeed extends ((Number × Pull) → Pull)
-    case object Min extends ((Number × Number) → Number)
-    case object Max extends ((Number × Number) → Number)
-    case object Sin extends (Number → Number)
-    case object Cos extends (Number → Number)
-    case object Round extends (Number → Number)
-    case object Floor extends (Number → Number)
-    case object Ceiling extends (Number → Number)
-    case object Absolute extends (Number → Number)
-    case object Modulo extends ((Number × Number) → Number)
-    case object Logarithm extends ((Number × Number) → Number)
-    case object BreakVector extends (Vector → (Number × Number × Number))
-    case object MakeVector extends ((Number × Number × Number) → Vector)
-    case object Normalize extends (Vector → Vector)
-    case object DotProduct extends ((Vector × Vector) → Vector)
-    case object CrossProduct extends ((Vector × Vector) → Vector)
-    case object BreakRotation extends (Rotation → (Number × Number × Number))
-    case object MakeRotation extends ((Number × Number × Number) → Rotation)
-    case object Distance extends ((Vector × Vector) → Number)
-    case object LERP extends ((Rotation × Rotation × Number) → Rotation)
-    case object AxisAngle extends ((Vector × Number) → Rotation)
-    case object ScreenToWorld extends ((Number × Number) → (Vector × Vector))
-    case object WorldToScreen extends (Vector → (Number × Number))
-    case object LineVsPlane extends ((Vector × Vector × Vector × Vector) → Vector)
-    case object LookRotation extends ((Vector × Vector) → Rotation)
+    case object Negate extends (Number.type → Number.type) {
+      override def left: Number.type = Number
+      override def right: Number.type = Number
+    }
+    case object Inverse extends (Rotation.type → Rotation.type) {
+      override def left: Rotation.type = Rotation
+      override def right: Rotation.type = Rotation
+    }
+    case object AddNumbers extends ((Number.type × Number.type) → Number.type) {
+      override def left: Number.type × Number.type = ×(Number, Number)
+      override def right: Number.type = Number
+    }
+    case object AddVectors extends ((Vector.type × Vector.type) → Vector.type) {
+      override def left: Vector.type × Vector.type = ×(Vector, Vector)
+      override def right: Vector.type = Vector
+    }
+    case object SubtractNumbers extends ((Number.type × Number.type) → Number.type) {
+      override def left: Number.type × Number.type = ×(Number, Number)
+      override def right: Number.type = Number
+    }
+    case object SubtractVectors extends ((Vector.type × Vector.type) → Vector.type) {
+      override def left: Vector.type × Vector.type = ×(Vector, Vector)
+      override def right: Vector.type = Vector
+    }
+    case object Multiply extends ((Number.type × Number.type) → Number.type) {
+      override def left: Number.type × Number.type = ×(Number, Number)
+      override def right: Number.type = Number
+    }
+    case object Scale extends ((Vector.type × Number.type) → Vector.type) {
+      override def left: Vector.type × Number.type = ×(Vector, Number)
+      override def right: Vector.type = Vector
+    }
+    case object Rotate extends ((Vector.type × Rotation.type) → Vector.type) {
+      override def left: Vector.type × Rotation.type = ×(Vector, Rotation)
+      override def right: Vector.type = Vector
+    }
+    case object Combine extends ((Rotation.type × Rotation.type) → Rotation.type) {
+      override def left: Rotation.type × Rotation.type = ×(Rotation, Rotation)
+      override def right: Rotation.type = Rotation
+    }
+    case object Divide extends ((Number.type × Number.type) → Number.type) {
+      override def left: Number.type × Number.type = ×(Number, Number)
+      override def right: Number.type = Number
+    }
+    case object Power extends ((Number.type × Number.type) → Number.type) {
+      override def left: Number.type × Number.type = ×(Number, Number)
+      override def right: Number.type = Number
+    }
+    case object EqualNumbers extends ((Number.type × Number.type) → Bool.type) {
+      override def left: Number.type × Number.type = ×(Number, Number)
+      override def right: Bool.type = Bool
+    }
+    case object EqualVectors extends ((Vector.type × Vector.type) → Bool.type) {
+      override def left: Vector.type × Vector.type = ×(Vector, Vector)
+      override def right: Bool.type = Bool
+    }
+    case object EqualObjects extends ((Obj.type × Obj.type) → Bool.type) {
+      override def left: Obj.type × Obj.type = ×(Obj, Obj)
+      override def right: Bool.type = Bool
+    }
+    case object EqualTruths extends ((Bool.type × Bool.type) → Bool.type) {
+      override def left: Bool.type × Bool.type = ×(Bool, Bool)
+      override def right: Bool.type = Bool
+    }
+    case object LessThan extends ((Number.type × Number.type) → Bool.type) {
+      override def left: Number.type × Number.type = ×(Number, Number)
+      override def right: Bool.type = Bool
+    }
+    case object GreaterThan extends ((Number.type × Number.type) → Bool.type) {
+      override def left: Number.type × Number.type = ×(Number, Number)
+      override def right: Bool.type = Bool
+    }
+    case object And extends ((Bool.type × Bool.type) → Bool.type) {
+      override def left: Bool.type × Bool.type = ×(Bool, Bool)
+      override def right: Bool.type = Bool
+    }
+    case object Or extends ((Bool.type × Bool.type) → Bool.type) {
+      override def left: Bool.type × Bool.type = ×(Bool, Bool)
+      override def right: Bool.type = Bool
+    }
+    case object Not extends (Bool.type → Bool.type) {
+      override def left: Bool.type = Bool
+      override def right: Bool.type = Bool
+    }
+    case object Random extends ((Number.type × Number.type) → Number.type) {
+      override def left: Number.type × Number.type = ×(Number, Number)
+      override def right: Number.type = Number
+    }
+    case object RandomSeed extends ((Number.type × Pull.type) → Pull.type) {
+      override def left: Number.type × Pull.type = ×(Number, Pull)
+      override def right: Pull.type = Pull
+    }
+    case object Min extends ((Number.type × Number.type) → Number.type) {
+      override def left: Number.type × Number.type = ×(Number, Number)
+      override def right: Number.type = Number
+    }
+    case object Max extends ((Number.type × Number.type) → Number.type) {
+      override def left: Number.type × Number.type = ×(Number, Number)
+      override def right: Number.type = Number
+    }
+    case object Sin extends (Number.type → Number.type) {
+      override def left: Number.type = Number
+      override def right: Number.type = Number
+    }
+    case object Cos extends (Number.type → Number.type) {
+      override def left: Number.type = Number
+      override def right: Number.type = Number
+    }
+    case object Round extends (Number.type → Number.type) {
+      override def left: Number.type = Number
+      override def right: Number.type = Number
+    }
+    case object Floor extends (Number.type → Number.type) {
+      override def left: Number.type = Number
+      override def right: Number.type = Number
+    }
+    case object Ceiling extends (Number.type → Number.type) {
+      override def left: Number.type = Number
+      override def right: Number.type = Number
+    }
+    case object Absolute extends (Number.type → Number.type) {
+      override def left: Number.type = Number
+      override def right: Number.type = Number
+    }
+    case object Modulo extends ((Number.type × Number.type) → Number.type) {
+      override def left: Number.type × Number.type = ×(Number, Number)
+      override def right: Number.type = Number
+    }
+    case object Logarithm extends ((Number.type × Number.type) → Number.type) {
+      override def left: Number.type × Number.type = ×(Number, Number)
+      override def right: Number.type = Number
+    }
+    case object BreakVector extends (Vector.type → (Number.type × Number.type × Number.type)) {
+      override def left: Vector.type = Vector
+      override def right: Number.type × Number.type × Number.type = ×(×(Number, Number), Number)
+    }
+    case object MakeVector extends ((Number.type × Number.type × Number.type) → Vector.type) {
+      override def left: Number.type × Number.type × Number.type = ×(×(Number, Number), Number)
+      override def right: Vector.type = Vector
+    }
+    case object Normalize extends (Vector.type → Vector.type) {
+      override def left: Vector.type = Vector
+      override def right: Vector.type = Vector
+    }
+    case object DotProduct extends ((Vector.type × Vector.type) → Vector.type) {
+      override def left: Vector.type × Vector.type = ×(Vector, Vector)
+      override def right: Vector.type = Vector
+    }
+    case object CrossProduct extends ((Vector.type × Vector.type) → Vector.type) {
+      override def left: Vector.type × Vector.type = ×(Vector, Vector)
+      override def right: Vector.type = Vector
+    }
+    case object BreakRotation extends (Rotation.type → (Number.type × Number.type × Number.type)) {
+      override def left: Rotation.type = Rotation
+      override def right: Number.type × Number.type × Number.type = ×(×(Number, Number), Number)
+    }
+    case object MakeRotation extends ((Number.type × Number.type × Number.type) → Rotation.type) {
+      override def left: Number.type × Number.type × Number.type = ×(×(Number, Number), Number)
+      override def right: Rotation.type = Rotation
+    }
+    case object Distance extends ((Vector.type × Vector.type) → Number.type) {
+      override def left: Vector.type × Vector.type = ×(Vector, Vector)
+      override def right: Number.type = Number
+    }
+    case object LERP extends ((Rotation.type × Rotation.type × Number.type) → Rotation.type) {
+      override def left: Rotation.type × Rotation.type × Number.type = ×(×(Rotation, Rotation), Number)
+      override def right: Rotation.type = Rotation
+    }
+    case object AxisAngle extends ((Vector.type × Number.type) → Rotation.type) {
+      override def left: Vector.type × Number.type = ×(Vector, Number)
+      override def right: Rotation.type = Rotation
+    }
+    case object ScreenToWorld extends ((Number.type × Number.type) → (Vector.type × Vector.type)) {
+      override def left: Number.type × Number.type = ×(Number, Number)
+      override def right: Vector.type × Vector.type = ×(Vector, Vector)
+    }
+    case object WorldToScreen extends (Vector.type → (Number.type × Number.type)) {
+      override def left: Vector.type = Vector
+      override def right: Number.type × Number.type = ×(Number, Number)
+    }
+    case object LineVsPlane extends ((Vector.type × Vector.type × Vector.type × Vector.type) → Vector.type) {
+      override def left: Vector.type × Vector.type × Vector.type × Vector.type = ×(×(×(Vector, Vector), Vector), Vector)
+      override def right: Vector.type = Vector
+    }
+    case object LookRotation extends ((Vector.type × Vector.type) → Rotation.type) {
+      override def left: Vector.type × Vector.type = ×(Vector, Vector)
+      override def right: Rotation.type = Rotation
+    }
 
-    case class GetNumber(name: String) extends (T → Number)
-    case class GetObject(name: String) extends (T → Obj)
-    case class GetVector(name: String) extends (T → Vector)
-    case class GetRotation(name: String) extends (T → Rotation)
-    case class GetTruth(name: String) extends (T → Bool)
-    case class GetConstraint(name: String) extends (T → Constraint)
-    case class SetNumber(name: String) extends ((Number × Pull) → Pull)
-    case class SetObject(name: String) extends ((Obj × Pull) → Pull)
-    case class SetVector(name: String) extends ((Vector × Pull) → Pull)
-    case class SetRotation(name: String) extends ((Rotation × Pull) → Pull)
-    case class SetTruth(name: String) extends ((Bool × Pull) → Pull)
-    case class SetConstraint(name: String) extends ((Constraint × Pull) → Pull)
-    case object SetNumberRef extends ((Number × Number × Pull) → Pull)
-    case object SetObjectRef extends ((Obj × Obj × Pull) → Pull)
-    case object SetVectorRef extends ((Vector × Vector × Pull) → Pull)
-    case object SetRotationRef extends ((Rotation × Rotation × Pull) → Pull)
-    case object SetTruthRef extends ((Bool × Bool × Pull) → Pull)
-    case object SetConstraintRef extends ((Constraint × Constraint × Pull) → Pull)
-    case object ListNumber extends ((Number × Number) → Number)
-    case object ListObject extends ((Obj × Number) → Obj)
-    case object ListVector extends ((Vector × Number) → Vector)
-    case object ListRotation extends ((Rotation × Number) → Rotation)
-    case object ListTruth extends ((Bool × Number) → Bool)
-    case object ListConstraint extends ((Constraint × Number) → Constraint)
-    case object Increment extends ((Number × Pull) → Pull)
-    case object Decrement extends ((Number × Pull) → Pull)
+    case class GetNumber(name: String) extends (T.type → Number.type) {
+      override def left: T.type = T
+      override def right: Number.type = Number
+    }
+    case class GetObject(name: String) extends (T.type → Obj.type) {
+      override def left: T.type = T
+      override def right: Obj.type = Obj
+    }
+    case class GetVector(name: String) extends (T.type → Vector.type) {
+      override def left: T.type = T
+      override def right: Vector.type = Vector
+    }
+    case class GetRotation(name: String) extends (T.type → Rotation.type) {
+      override def left: T.type = T
+      override def right: Rotation.type = Rotation
+    }
+    case class GetTruth(name: String) extends (T.type → Bool.type) {
+      override def left: T.type = T
+      override def right: Bool.type = Bool
+    }
+    case class GetConstraint(name: String) extends (T.type → Constraint.type) {
+      override def left: T.type = T
+      override def right: Constraint.type = Constraint
+    }
+    case class SetNumber(name: String) extends ((Number.type × Pull.type) → Pull.type) {
+      override def left: Number.type × Pull.type = ×(Number, Pull)
+      override def right: Pull.type = Pull
+    }
+    case class SetObject(name: String) extends ((Obj.type × Pull.type) → Pull.type) {
+      override def left: Obj.type × Pull.type = ×(Obj, Pull)
+      override def right: Pull.type = Pull
+    }
+    case class SetVector(name: String) extends ((Vector.type × Pull.type) → Pull.type) {
+      override def left: Vector.type × Pull.type = ×(Vector, Pull)
+      override def right: Pull.type = Pull
+    }
+    case class SetRotation(name: String) extends ((Rotation.type × Pull.type) → Pull.type) {
+      override def left: Rotation.type × Pull.type = ×(Rotation, Pull)
+      override def right: Pull.type = Pull
+    }
+    case class SetTruth(name: String) extends ((Bool.type × Pull.type) → Pull.type) {
+      override def left: Bool.type × Pull.type = ×(Bool, Pull)
+      override def right: Pull.type = Pull
+    }
+    case class SetConstraint(name: String) extends ((Constraint.type × Pull.type) → Pull.type) {
+      override def left: Constraint.type × Pull.type = ×(Constraint, Pull)
+      override def right: Pull.type = Pull
+    }
+    case object SetNumberRef extends ((Number.type × Number.type × Pull.type) → Pull.type) {
+      override def left: Number.type × Number.type × Pull.type = ×(×(Number, Number), Pull)
+      override def right: Pull.type = Pull
+    }
+    case object SetObjectRef extends ((Obj.type × Obj.type × Pull.type) → Pull.type) {
+      override def left: Obj.type × Obj.type × Pull.type = ×(×(Obj, Obj), Pull)
+      override def right: Pull.type = Pull
+    }
+    case object SetVectorRef extends ((Vector.type × Vector.type × Pull.type) → Pull.type) {
+      override def left: Vector.type × Vector.type × Pull.type = ×(×(Vector, Vector), Pull)
+      override def right: Pull.type = Pull
+    }
+    case object SetRotationRef extends ((Rotation.type × Rotation.type × Pull.type) → Pull.type) {
+      override def left: Rotation.type × Rotation.type × Pull.type = ×(×(Rotation, Rotation), Pull)
+      override def right: Pull.type = Pull
+    }
+    case object SetTruthRef extends ((Bool.type × Bool.type × Pull.type) → Pull.type) {
+      override def left: Bool.type × Bool.type × Pull.type = ×(×(Bool, Bool), Pull)
+      override def right: Pull.type = Pull
+    }
+    case object SetConstraintRef extends ((Constraint.type × Constraint.type × Pull.type) → Pull.type) {
+      override def left: Constraint.type × Constraint.type × Pull.type = ×(×(Constraint, Constraint), Pull)
+      override def right: Pull.type = Pull
+    }
+    case object ListNumber extends ((Number.type × Number.type) → Number.type) {
+      override def left: Number.type × Number.type = ×(Number, Number)
+      override def right: Number.type = Number
+    }
+    case object ListObject extends ((Obj.type × Number.type) → Obj.type) {
+      override def left: Obj.type × Number.type = ×(Obj, Number)
+      override def right: Obj.type = Obj
+    }
+    case object ListVector extends ((Vector.type × Number.type) → Vector.type) {
+      override def left: Vector.type × Number.type = ×(Vector, Number)
+      override def right: Vector.type = Vector
+    }
+    case object ListRotation extends ((Rotation.type × Number.type) → Rotation.type) {
+      override def left: Rotation.type × Number.type = ×(Rotation, Number)
+      override def right: Rotation.type = Rotation
+    }
+    case object ListTruth extends ((Bool.type × Number.type) → Bool.type) {
+      override def left: Bool.type × Number.type = ×(Bool, Number)
+      override def right: Bool.type = Bool
+    }
+    case object ListConstraint extends ((Constraint.type × Number.type) → Constraint.type) {
+      override def left: Constraint.type × Number.type = ×(Constraint, Number)
+      override def right: Constraint.type = Constraint
+    }
+    case object Increment extends ((Number.type × Pull.type) → Pull.type) {
+      override def left: Number.type × Pull.type = ×(Number, Pull)
+      override def right: Pull.type = Pull
+    }
+    case object Decrement extends ((Number.type × Pull.type) → Pull.type) {
+      override def left: Number.type × Pull.type = ×(Number, Pull)
+      override def right: Pull.type = Pull
+    }
 
   }
 
-  implicit lazy val fanscript: Cartesian[Pin, →, T, ×] with ArrowLoop[Pin, →, T, ×, →] = new Cartesian[Pin, →, T, ×] with ArrowLoop[Pin, →, T, ×, →] {
+  implicit lazy val fanscript:
+    Cartesian[Pin, PinEv, →, T.type, ×] with ArrowLoop[Pin, PinEv, →, T.type, ×, →] =
+    new Cartesian[Pin, PinEv, →, T.type, ×] with ArrowLoop[Pin, PinEv, →, T.type, ×, →] {
 
-    override def id[A <: Pin]: A → A =
-      Id[A]()
+      override def duplicate[A <: Pin](implicit a: PinEv[A]): A → (A × A) =
+        Duplicate(a.value)
 
-    override def duplicate[A <: Pin]: A → (A × A) =
-      Duplicate[A]()
+      override def terminate[A <: Pin](implicit a: PinEv[A]): A → T.type =
+        Terminate(a.value)
 
-    override def terminate[A <: Pin]: A → T =
-      Terminate[A]()
+      override def loop[A <: Pin, B <: Pin, C <: Pin](f: (A × C) → (B × C)): A → B =
+        Loop(f)
 
-    override def swap[A <: Pin, B <: Pin]: (A × B) → (B × A) =
-      Swap()
+      override def lift[A <: Pin, B <: Pin](f: A → B): A → B =
+        f
 
-    override def lift[A <: Pin, B <: Pin](f: A → B): A → B =
-      f
+      override def id[A <: Pin](implicit a: PinEv[A]): A → A =
+        Id(a.value)
 
-    override def strongProfunctorCategory: Monoidal[Pin, →, T, ×] = this
+      override def strongProfunctorCategory: Monoidal[Pin, PinEv, →, T.type, ×] =
+        this
 
-    override def first[A <: Pin, B <: Pin, C <: Pin]: (A → B) ⇒ ((A × C) → (B × C)) =
-      Bimap[A, B, C, C](_, id[C])
+      override def first[A <: Pin, B <: Pin, C <: Pin](f: A → B)(implicit c: PinEv[C]): (A × C) → (B × C) =
+        bimap(f, id[C])
 
-    override def second[A <: Pin, B <: Pin, C <: Pin]: (A → B) ⇒ ((C × A) → (C × B)) =
-      (f: A → B) => {
-        val firstf: (A × C) → (B × C) = first[A, B, C](f)
-        AndThen(Swap(), AndThen(firstf, Swap()))
+      override def second[A <: Pin, B <: Pin, C <: Pin](f: A → B)(implicit c: PinEv[C]): (C × A) → (C × B) = {
+        implicit val a: PinEv[A] = f.leftEv
+        implicit val b: PinEv[B] = f.rightEv
+        val unswapped: (A × C) → (B × C) = first(f)
+        andThen(swap[C, A], andThen(unswapped, swap[B, C]))
       }
 
-    override def loop[A <: Pin, B <: Pin, C <: Pin](f: (A × C) → (B × C)): A → B =
-      Loop(f)
+      override def profunctorLeftConstraint[A <: Pin, B <: Pin](f: A → B): PinEv[A] =
+        f.leftEv
 
-    override def associateRight[A <: Pin, B <: Pin, C <: Pin]: ((A × B) × C) → (A × (B × C)) =
-      Associate[A, B, C]()
+      override def profunctorRightConstraint[A <: Pin, B <: Pin](f: A → B): PinEv[B] =
+        f.rightEv
 
-    override def unitorLeft[A <: Pin]: (T × A) → A =
-      Unit()
+      override def swap[A <: Pin, B <: Pin](implicit a: PinEv[A], b: PinEv[B]): (A × B) → (B × A) =
+        Swap(a.value, b.value)
 
-    override def deunitorLeft[A <: Pin]: A → (T × A) =
-      Deunit()
+      override implicit def unitConstraint: PinEv[T.type] =
+        PinEv.pinValueForT
 
-    override def compose[A <: Pin, B <: Pin, C <: Pin](f: B → C, g: A → B): A → C =
-      AndThen(g, f)
+      override def associateRight[A <: Pin, B <: Pin, C <: Pin](implicit a: PinEv[A], b: PinEv[B], c: PinEv[C]): ((A × B) × C) → (A × (B × C)) =
+        Associate(a.value, b.value, c.value)
 
-    override def andThen[A <: Pin, B <: Pin, C <: Pin](f: A → B, g: B → C): A → C =
-      AndThen(f, g)
+      override def unitorLeft[A <: Pin](implicit a: PinEv[A]): (T.type × A) → A =
+        Unit(a.value)
 
-    override def bimap[A <: Pin, B <: Pin, C <: Pin, D <: Pin](f: A → C, g: B → D): (A × B) → (C × D) =
-      Bimap(f, g)
+      override def deunitorLeft[A <: Pin](implicit a: PinEv[A]): A → (T.type × A) =
+        Deunit(a.value)
 
-  }
+      override def homLeftConstraint[A <: Pin, B <: Pin](hom: A → B): PinEv[A] =
+        hom.leftEv
+
+      override def homRightConstraint[A <: Pin, B <: Pin](hom: A → B): PinEv[B] =
+        hom.rightEv
+
+      override def andThen[A <: Pin, B <: Pin, C <: Pin](f: A → B, g: B → C): A → C =
+        AndThen(f, g)
+
+      override def compose[A <: Pin, B <: Pin, C <: Pin](f: B → C, g: A → B): A → C =
+        andThen(g, f)
+
+      override implicit def bifunctorApplyConstraint[A <: Pin, B <: Pin](implicit a: PinEv[A], b: PinEv[B]): PinEv[A × B] =
+        PinEv.pinValueForProduct[A, B](a, b)
+
+      override def bifunctorLeftConstraint[A <: Pin, B <: Pin](implicit e: PinEv[A × B]): PinEv[A] =
+        new PinEv[A] {
+          override val value: A = e.value.a
+        }
+
+      override def bifunctorRightConstraint[A <: Pin, B <: Pin](implicit e: PinEv[A × B]): PinEv[B] =
+        new PinEv[B] {
+          override val value: B = e.value.b
+        }
+
+      override def bimap[A <: Pin, B <: Pin, C <: Pin, D <: Pin](f: A → C, g: B → D): (A × B) → (C × D) =
+        Bimap(f, g)
+
+    }
 
 }
diff --git a/core/src/main/scala/tf/bug/fancade/Main.scala b/core/src/main/scala/tf/bug/fancade/Main.scala
index 9edf143..385661b 100644
--- a/core/src/main/scala/tf/bug/fancade/Main.scala
+++ b/core/src/main/scala/tf/bug/fancade/Main.scala
@@ -6,145 +6,145 @@ object Main {
     import Fanscript._
     import tf.bug.shinji.syntax.all._
     // min, max, start, result, after -> end, index, sum, before
-    val sum: (Number × Number × Pull × Number × Pull) → (Pull × Number × Number × Pull) = {
-      val getSum: T → Number = Builtin.GetNumber("Sum")
-      val setSum: (Number × Pull) → Pull = Builtin.SetNumber("Sum")
-      val addToSum: (Number × Pull) → Pull = {
-        val add: (Number × Number) → Number = Builtin.AddNumbers
-        val sumAsFirstInput: (T × Number) → (Number × Number) = getSum.first[Number]
-        val branch: Number → (T × Number) = deunitL(fanscript)
-        val justSecondInput: Number → (Number × Number) = branch >>> sumAsFirstInput
-        val addSum: Number → Number = add.ldimap(justSecondInput)
-        val storeSum: (Number × Pull) → Pull = setSum
-        storeSum.ldimap(fanscript.lbimap(addSum))
+    val sum: (Number.type × Number.type × Pull.type × Number.type × Pull.type) → (Pull.type × Number.type × Number.type × Pull.type) = {
+      val getSum: T.type → Number.type = Builtin.GetNumber("Sum")
+      val setSum: (Number.type × Pull.type) → Pull.type = Builtin.SetNumber("Sum")
+      val addToSum: (Number.type × Pull.type) → Pull.type = {
+        val add: (Number.type × Number.type) → Number.type = Builtin.AddNumbers
+        val sumAsFirstInput: (T.type × Number.type) → (Number.type × Number.type) = fanscript.first(getSum)
+        val branch: Number.type → (T.type × Number.type) = fanscript.deunitorLeft
+        val justSecondInput: Number.type → (Number.type × Number.type) = fanscript.andThen(branch, sumAsFirstInput)
+        val addSum: Number.type → Number.type = fanscript.ldimap[Number.type × Number.type, Number.type, Number.type](justSecondInput).apply(add)
+        val storeSum: (Number.type × Pull.type) → Pull.type = setSum
+        fanscript.ldimap[Number.type × Pull.type, Pull.type, Number.type × Pull.type](fanscript.lbimap(addSum)).apply(storeSum)
       }
 
-      val getIndex: T → Number = Builtin.GetNumber("Index")
-      val setIndex: (Number × Pull) → Pull = Builtin.SetNumber("Index")
-      val indexGreaterThan: Number → Bool = {
-        val greaterThan: (Number × Number) → Bool = Builtin.GreaterThan
-        val indexAsFirstInput: (T × Number) → (Number × Number) = getIndex.first[Number]
-        val branch: Number → (T × Number) = deunitL(fanscript)
-        val comparisonAsSecondInput: Number → (Number × Number) = branch >>> indexAsFirstInput
-        comparisonAsSecondInput >>> greaterThan
+      val getIndex: T.type → Number.type = Builtin.GetNumber("Index")
+      val setIndex: (Number.type × Pull.type) → Pull.type = Builtin.SetNumber("Index")
+      val indexGreaterThan: Number.type → Bool.type = {
+        val greaterThan: (Number.type × Number.type) → Bool.type = Builtin.GreaterThan
+        val indexAsFirstInput: (T.type × Number.type) → (Number.type × Number.type) = fanscript.first(getIndex)
+        val branch: Number.type → (T.type × Number.type) = fanscript.deunitorLeft
+        val comparisonAsSecondInput: Number.type → (Number.type × Number.type) = fanscript.andThen(branch, indexAsFirstInput)
+        fanscript.andThen(comparisonAsSecondInput, greaterThan)
       }
-      val indexNotGreaterThan: Number → Bool = indexGreaterThan >>> Builtin.Not
-      val checkContinue: (Number × Pull × Pull × Pull) → Pull = {
-        val ifBlock: (Bool × Pull × Pull × Pull) → Pull = Builtin.If
-        val checkGreater: (Number × Pull × Pull × Pull) → (Bool × Pull × Pull × Pull) = {
-          val one: (Number × Pull) → (Bool × Pull) = indexGreaterThan.first[Pull]
-          val two: (Number × Pull × Pull) → (Bool × Pull × Pull) = fanscript.first(one)
-          val three: (Number × Pull × Pull × Pull) → (Bool × Pull × Pull × Pull) = fanscript.first(two)
+      val indexNotGreaterThan: Number.type → Bool.type = fanscript.andThen(indexGreaterThan, Builtin.Not)
+      val checkContinue: (Number.type × Pull.type × Pull.type × Pull.type) → Pull.type = {
+        val ifBlock: (Bool.type × Pull.type × Pull.type × Pull.type) → Pull.type = Builtin.If
+        val checkGreater: (Number.type × Pull.type × Pull.type × Pull.type) → (Bool.type × Pull.type × Pull.type × Pull.type) = {
+          val one: (Number.type × Pull.type) → (Bool.type × Pull.type) = fanscript.first(indexGreaterThan)
+          val two: (Number.type × Pull.type × Pull.type) → (Bool.type × Pull.type × Pull.type) = fanscript.first(one)
+          val three: (Number.type × Pull.type × Pull.type × Pull.type) → (Bool.type × Pull.type × Pull.type × Pull.type) = fanscript.first(two)
           three
         }
         fanscript.andThen(checkGreater, ifBlock)
       }
 
       // sumToIndex -> before
-      val initializeSum: Pull → Pull = {
-        val zero: T → Number = Builtin.NumberValue(0.0F)
-        val zeroAsInput: (T × Pull) → (Number × Pull) = zero.first[Pull]
-        val branch: Pull → (T × Pull) = fanscript.deunitorLeft[Pull]
-        branch >>> zeroAsInput >>> setSum
+      val initializeSum: Pull.type → Pull.type = {
+        val zero: T.type → Number.type = Builtin.NumberValue(0.0F)
+        val zeroAsInput: (T.type × Pull.type) → (Number.type × Pull.type) = fanscript.first(zero)
+        val branch: Pull.type → (T.type × Pull.type) = fanscript.deunitorLeft[Pull.type]
+        fanscript.andThen(fanscript.andThen(branch, zeroAsInput), setSum)
       }
 
       // min, indexToLoopStart -> sumToIndex
-      val initializeIndex: (Number × Pull) → Pull = setIndex
+      val initializeIndex: (Number.type × Pull.type) → Pull.type = setIndex
 
       // max, start, ◌, after -> (indexToLoopStart + incrementToLoop)
-      val startLoop: (Number × Pull × Pull × Pull) → Pull = checkContinue
+      val startLoop: (Number.type × Pull.type × Pull.type × Pull.type) → Pull.type = checkContinue
 
       // result, increaseSum -> end
-      val increaseSum: (Number × Pull) → Pull = addToSum
+      val increaseSum: (Number.type × Pull.type) → Pull.type = addToSum
 
       // incrementToLoop -> increaseSum
-      val incrementIndex: Pull → Pull = {
-        val get: T → Number = getIndex
-        val set: (Number × Pull) → Pull = setIndex
-        val one: T → Number = Builtin.NumberValue(1.0F)
-        val additionOperands: T → (Number × Number) = get &&& one
-        val add: T → Number = additionOperands >>> Builtin.AddNumbers
-        val carryPull: (T × Pull) → (Number × Pull) = add.first[Pull]
-        val branch: Pull → (T × Pull) = fanscript.deunitorLeft[Pull]
-        branch >>> carryPull >>> set
+      val incrementIndex: Pull.type → Pull.type = {
+        val get: T.type → Number.type = getIndex
+        val set: (Number.type × Pull.type) → Pull.type = setIndex
+        val one: T.type → Number.type = Builtin.NumberValue(1.0F)
+        val additionOperands: T.type → (Number.type × Number.type) = fanscript.merge(get, one)
+        val add: T.type → Number.type = fanscript.andThen(additionOperands, Builtin.AddNumbers)
+        val carryPull: (T.type × Pull.type) → (Number.type × Pull.type) = fanscript.first(add)
+        val branch: Pull.type → (T.type × Pull.type) = fanscript.deunitorLeft[Pull.type]
+        fanscript.andThen(fanscript.andThen(branch, carryPull), set)
       }
 
       // min, indexToLoopStart -> before
-      val initialize: (Number × Pull) → Pull = initializeIndex >>> initializeSum
+      val initialize: (Number.type × Pull.type) → Pull.type = fanscript.andThen(initializeIndex, initializeSum)
 
       // result, incrementToLoop -> end
-      val postLoop: (Number × Pull) → Pull = {
-        val carryResult = fanscript.second[Pull, Pull, Number](incrementIndex)
+      val postLoop: (Number.type × Pull.type) → Pull.type = {
+        val carryResult = fanscript.second[Pull.type, Pull.type, Number.type](incrementIndex)
         fanscript.andThen(carryResult, increaseSum)
       }
 
       // max, start, after -> (indexToLoopStart + incrementToLoop)
-      val condition: (Number × Pull × Pull) → Pull = {
-        val zThree: (Number × Pull) → (Number × Pull × Pull) =
+      val condition: (Number.type × Pull.type × Pull.type) → Pull.type = {
+        val zThree: (Number.type × Pull.type) → (Number.type × Pull.type × Pull.type) =
           fanscript.andThen(fanscript.deunitorRight, fanscript.rbimap(Z))
-        val zFour: (Number × Pull × Pull) → (Number × Pull × Pull × Pull) =
+        val zFour: (Number.type × Pull.type × Pull.type) → (Number.type × Pull.type × Pull.type × Pull.type) =
           fanscript.lbimap(zThree)
-        fanscript.ldimap(zFour)(checkContinue)
+        fanscript.ldimap[Number.type × Pull.type × Pull.type × Pull.type, Pull.type, Number.type × Pull.type × Pull.type](zFour).apply(checkContinue)
       }
 
       // min, max, start, result, after -> end, index, sum, before
-      val result: (Number × Number × Pull × Number × Pull) → (Pull × Number × Number × Pull) = {
+      val result: (Number.type × Number.type × Pull.type × Number.type × Pull.type) → (Pull.type × Number.type × Number.type × Pull.type) = {
         // max, start, after -> indexToLoopStart, incrementToLoop
-        val duplicateCondition: (Number × Pull × Pull) → (Pull × Pull) =
+        val duplicateCondition: (Number.type × Pull.type × Pull.type) → (Pull.type × Pull.type) =
           fanscript.andThen(condition, fanscript.duplicate)
 
         // min, indexToLoopStart, result, incrementToLoop -> before, end
-        val conditionPrecursors: (Number × Pull × Number × Pull) → (Pull × Pull) =
-          fanscript.andThen(fanscript.associateRight[Number × Pull, Number, Pull], fanscript.split[Number × Pull, Pull, Number × Pull, Pull](initialize, postLoop))
+        val conditionPrecursors: (Number.type × Pull.type × Number.type × Pull.type) → (Pull.type × Pull.type) =
+          fanscript.associateRight[Number.type × Pull.type, Number.type, Pull.type] >>> (initialize *** postLoop)
 
         // min, result, (indexToLoopStart, incrementToLoop) -> end, before
-        val orientConditionPrecursors: ((Number × Number) × (Pull × Pull)) → (Pull × Pull) = {
-          val flattenAssoc: ((Number × Number) × (Pull × Pull)) → (((Number × Number) × Pull) × Pull) = fanscript.associateLeft
-          val assocInside: (((Number × Number) × Pull) × Pull) → ((Number × (Number × Pull)) × Pull) = fanscript.lbimap(fanscript.associateRight)
-          val swapInside: ((Number × (Number × Pull)) × Pull) → ((Number × (Pull × Number)) × Pull) = fanscript.lbimap(fanscript.rbimap(fanscript.swap))
-          val reassocInside: ((Number × (Pull × Number)) × Pull) → (((Number × Pull) × Number) × Pull) = fanscript.lbimap(fanscript.associateLeft)
-          val orientConditionInputs: ((Number × Number) × (Pull × Pull)) → (((Number × Pull) × Number) × Pull) =
+        val orientConditionPrecursors: ((Number.type × Number.type) × (Pull.type × Pull.type)) → (Pull.type × Pull.type) = {
+          val flattenAssoc: ((Number.type × Number.type) × (Pull.type × Pull.type)) → (((Number.type × Number.type) × Pull.type) × Pull.type) = fanscript.associateLeft
+          val assocInside: (((Number.type × Number.type) × Pull.type) × Pull.type) → ((Number.type × (Number.type × Pull.type)) × Pull.type) = fanscript.lbimap(fanscript.associateRight)
+          val swapInside: ((Number.type × (Number.type × Pull.type)) × Pull.type) → ((Number.type × (Pull.type × Number.type)) × Pull.type) = fanscript.lbimap(fanscript.rbimap(fanscript.swap))
+          val reassocInside: ((Number.type × (Pull.type × Number.type)) × Pull.type) → (((Number.type × Pull.type) × Number.type) × Pull.type) = fanscript.lbimap(fanscript.associateLeft)
+          val orientConditionInputs: ((Number.type × Number.type) × (Pull.type × Pull.type)) → (((Number.type × Pull.type) × Number.type) × Pull.type) =
             fanscript.andThen(fanscript.andThen(fanscript.andThen(flattenAssoc, assocInside), swapInside), reassocInside)
 
-          val swapEnd: (Pull × Pull) → (Pull × Pull) = fanscript.swap
+          val swapEnd: (Pull.type × Pull.type) → (Pull.type × Pull.type) = fanscript.swap
 
           fanscript.dimap(orientConditionInputs, swapEnd)(conditionPrecursors)
         }
 
         // min, max, start, result, after -> end, before
-        val nonNumbers: (Number × Number × Pull × Number × Pull) → (Pull × Pull) = {
-          val duplicateConditionLeftNumbers: ((Number × Number) × (Number × Pull × Pull)) → ((Number × Number) × (Pull × Pull)) =
-            fanscript.second[Number × Pull × Pull, Pull × Pull, Number × Number](duplicateCondition)
+        val nonNumbers: (Number.type × Number.type × Pull.type × Number.type × Pull.type) → (Pull.type × Pull.type) = {
+          val duplicateConditionLeftNumbers: ((Number.type × Number.type) × (Number.type × Pull.type × Pull.type)) → ((Number.type × Number.type) × (Pull.type × Pull.type)) =
+            fanscript.second[Number.type × Pull.type × Pull.type, Pull.type × Pull.type, Number.type × Number.type](duplicateCondition)
 
           // (min, result), (max, start, after) -> end, before
-          val aggregate: ((Number × Number) × (Number × Pull × Pull)) → (Pull × Pull) =
+          val aggregate: ((Number.type × Number.type) × (Number.type × Pull.type × Pull.type)) → (Pull.type × Pull.type) =
             fanscript.andThen(duplicateConditionLeftNumbers, orientConditionPrecursors)
 
           // (max, start, after, (min, result)) -> end, before
-          val align: (Number × Pull × Pull × (Number × Number)) → (Pull × Pull) =
+          val align: (Number.type × Pull.type × Pull.type × (Number.type × Number.type)) → (Pull.type × Pull.type) =
             fanscript.andThen(fanscript.swap, aggregate)
 
           // max, start, after, min, result -> end, before
-          val assoc: (Number × Pull × Pull × Number × Number) → (Pull × Pull) =
+          val assoc: (Number.type × Pull.type × Pull.type × Number.type × Number.type) → (Pull.type × Pull.type) =
             fanscript.andThen(fanscript.associateRight, align)
 
           // min, max, start, result, after -> max, start, after, min, result
-          val realign: ((((Number × Number) × Pull) × Number) × Pull) → ((((Number × Pull) × Pull) × Number) × Number) = {
-            val one: ((((Number × Number) × Pull) × Number) × Pull) → (((Number × (Number × Pull)) × Number) × Pull) =
+          val realign: ((((Number.type × Number.type) × Pull.type) × Number.type) × Pull.type) → ((((Number.type × Pull.type) × Pull.type) × Number.type) × Number.type) = {
+            val one: ((((Number.type × Number.type) × Pull.type) × Number.type) × Pull.type) → (((Number.type × (Number.type × Pull.type)) × Number.type) × Pull.type) =
               fanscript.lbimap(fanscript.lbimap(fanscript.associateRight))
-            val two: (((Number × (Number × Pull)) × Number) × Pull) → ((((Number × Pull) × Number) × Number) × Pull) =
+            val two: (((Number.type × (Number.type × Pull.type)) × Number.type) × Pull.type) → ((((Number.type × Pull.type) × Number.type) × Number.type) × Pull.type) =
               fanscript.lbimap(fanscript.lbimap(fanscript.swap))
-            val three: ((((Number × Pull) × Number) × Number) × Pull) → (((Number × Pull) × Number) × (Number × Pull)) =
+            val three: ((((Number.type × Pull.type) × Number.type) × Number.type) × Pull.type) → (((Number.type × Pull.type) × Number.type) × (Number.type × Pull.type)) =
               fanscript.associateRight
-            val four: (((Number × Pull) × Number) × (Number × Pull)) → (((Number × Pull) × Number) × (Pull × Number)) =
+            val four: (((Number.type × Pull.type) × Number.type) × (Number.type × Pull.type)) → (((Number.type × Pull.type) × Number.type) × (Pull.type × Number.type)) =
               fanscript.rbimap(fanscript.swap)
-            val five: (((Number × Pull) × Number) × (Pull × Number)) → ((((Number × Pull) × Number) × Pull) × Number) =
+            val five: (((Number.type × Pull.type) × Number.type) × (Pull.type × Number.type)) → ((((Number.type × Pull.type) × Number.type) × Pull.type) × Number.type) =
               fanscript.associateLeft
-            val six: ((((Number × Pull) × Number) × Pull) × Number) → (((Number × Pull) × (Number × Pull)) × Number) =
+            val six: ((((Number.type × Pull.type) × Number.type) × Pull.type) × Number.type) → (((Number.type × Pull.type) × (Number.type × Pull.type)) × Number.type) =
               fanscript.lbimap(fanscript.associateRight)
-            val seven: (((Number × Pull) × (Number × Pull)) × Number) → (((Number × Pull) × (Pull × Number)) × Number) =
+            val seven: (((Number.type × Pull.type) × (Number.type × Pull.type)) × Number.type) → (((Number.type × Pull.type) × (Pull.type × Number.type)) × Number.type) =
               fanscript.lbimap(fanscript.rbimap(fanscript.swap))
-            val eight: (((Number × Pull) × (Pull × Number)) × Number) → ((((Number × Pull) × Pull) × Number) × Number) =
+            val eight: (((Number.type × Pull.type) × (Pull.type × Number.type)) × Number.type) → ((((Number.type × Pull.type) × Pull.type) × Number.type) × Number.type) =
               fanscript.lbimap(fanscript.associateLeft)
 
             fanscript.andThen(
@@ -175,10 +175,10 @@ object Main {
         }
 
         // end, before -> end, index, sum, before
-        val addOutputs: (Pull × Pull) → (Pull × Number × Number × Pull) =
+        val addOutputs: (Pull.type × Pull.type) → (Pull.type × Number.type × Number.type × Pull.type) =
           fanscript.lbimap(fanscript.andThen(
-            fanscript.andThen[Pull, Pull × T, Pull × Number](fanscript.deunitorRight[Pull], fanscript.rbimap(getIndex)),
-            fanscript.andThen[Pull × Number, Pull × Number × T, Pull × Number × Number](fanscript.deunitorRight[Pull × Number], fanscript.rbimap(getSum))
+            fanscript.andThen[Pull.type, Pull.type × T.type, Pull.type × Number.type](fanscript.deunitorRight[Pull.type], fanscript.rbimap(getIndex)),
+            fanscript.andThen[Pull.type × Number.type, Pull.type × Number.type × T.type, Pull.type × Number.type × Number.type](fanscript.deunitorRight[Pull.type × Number.type], fanscript.rbimap(getSum))
           ))
 
         fanscript.andThen(nonNumbers, addOutputs)