Boolean function composition

gistfile1.scala

trait F[T] extends Function1[T, Boolean] {
  def apply(t: T): Boolean
  def &&(g: T => Boolean) = (a: T) =>  apply(a) && g(a)
  def ||(g: T => Boolean) = (a: T) =>  apply(a) || g(a)
  def ^ (g: T => Boolean) = (a: T) =>  apply(a) ^  g(a)
  def unary_!             = (a: T) => !apply(a)
}

implicit def toF[T](a: T => Boolean) = new F[T] { def apply(x: T) = a(x) }

// ***

val f: Int => Boolean
val g: Int => Boolean
val h: Int => Boolean

val c: Int => Boolean = !f && g || h