How to define an Option type?

(Note: I know Kotlin has nullable types - I'm just asking to explore the type system and because Option types have other uses.)

Say I have:

trait Opt<T> {   fun get(): T   fun isEmpty(): Boolean } class Some<T>(private val x: T) : Opt<T> {   override fun get() = x   override fun isEmpty() = false } class None<T> : Opt<T> {   override fun get() = throw Exception()   override fun isEmpty() = true }

This works fine.  However, I'm wondering if I can instead define a singleton None, a la Scala.  I was hoping this would work since Nothing should be compatible with all types, but it doesn't:

object None : Opt<Nothing> {   override fun get() = throw Exception()   override fun isEmpty() = true }

You should declare Opt to ve covariant in T: Opt<out T>