Trait/Object

scalaz

IsCovariant

Related Docs: object IsCovariant | package scalaz

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trait IsCovariant[F[_]] extends AnyRef

Type constructors that are covariant with respect to subtyping.

A type constructor F[_] admits an instance IsCovariant[F] iff F[A] is a subtype of F[B] whenever A is a subtype of B.

The Scala language represents this natively using the [+A] notation on type constructors. The factory scalaCovariant provides an instance of this typeclass for any such type. However, type constructors which behave covariantly despite not being thus notated can also implement this typeclass. The factory force constructs an instance of IsCovariant for any type, based on the programmer's assertion that it is indeed covariant.

Note the relationship between this typeclass and Functor: whereas Functor instances are covariant functors in the "category" of Scala types and functions, instances of this typeclass are covariant functors in the "category" of Scala types and subtyping relations.

Self Type
IsCovariant[F]
Source
IsCovariant.scala
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Abstract Value Members

  1. abstract def liftLiskovCo[A, B](implicit ev: <~<[A, B]): <~<[F[A], F[B]]

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Concrete Value Members

  1. final def !=(arg0: Any): Boolean

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  2. final def ##(): Int

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  3. final def ==(arg0: Any): Boolean

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  4. final def asInstanceOf[T0]: T0

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  5. def clone(): AnyRef

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  6. final def eq(arg0: AnyRef): Boolean

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  7. def equals(arg0: Any): Boolean

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  8. def finalize(): Unit

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    @throws( classOf[java.lang.Throwable] )
  9. final def getClass(): Class[_]

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  10. def hashCode(): Int

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  11. val isCovariantSyntax: IsCovariantSyntax[F]

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  12. final def isInstanceOf[T0]: Boolean

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  13. final def ne(arg0: AnyRef): Boolean

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  14. final def notify(): Unit

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  15. final def notifyAll(): Unit

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  16. def substCo[G[+_], A, B](g: G[F[A]])(implicit ev: <~<[A, B]): G[F[B]]

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  17. def substCt[G[-_], A, B](g: G[F[B]])(implicit ev: <~<[A, B]): G[F[A]]

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  18. final def synchronized[T0](arg0: ⇒ T0): T0

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  19. def toString(): String

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  20. final def wait(): Unit

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  21. final def wait(arg0: Long, arg1: Int): Unit

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  22. final def wait(arg0: Long): Unit

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  23. def widen[A, B](fa: F[A])(implicit ev: <~<[A, B]): F[B]

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