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sealed abstract class Coyoneda[F[_], A] extends AnyRef

The dual view of the Yoneda lemma. Also a free functor on F. This is isomorphic to F as long as F itself is a functor. The homomorphism from F[A] to Coyoneda[F,A] exists even when F is not a functor.

Self Type
Coyoneda[F, A]
Source
Coyoneda.scala
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Type Members

  1. abstract type I

    The pivot between fi and k, usually existential.

Abstract Value Members

  1. abstract val fi: F[I]

    The underlying value.

  2. abstract val k: (I) ⇒ A

    The transformer function, to be lifted into F by run.

Concrete Value Members

  1. final def !=(arg0: Any): Boolean
    Definition Classes
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  2. final def ##(): Int
    Definition Classes
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  3. final def ==(arg0: Any): Boolean
    Definition Classes
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  4. final def asInstanceOf[T0]: T0
    Definition Classes
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  5. def clone(): AnyRef
    Attributes
    protected[lang]
    Definition Classes
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    Annotations
    @throws( ... ) @native()
  6. final def eq(arg0: AnyRef): Boolean
    Definition Classes
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  7. def equals(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  8. def extend[G[_]](f: ~>[[β$1$]Coyoneda[F, β$1$], G]): Coyoneda[G, A]

    Coyoneda is a comonad in an endofunctor category

  9. def finalize(): Unit
    Attributes
    protected[lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  10. def flatMap[G[_]](f: ~>[F, [β$0$]Coyoneda[G, β$0$]]): Coyoneda[G, A]

    Coyoneda is a monad in an endofunctor category

  11. final def getClass(): Class[_]
    Definition Classes
    AnyRef → Any
    Annotations
    @native()
  12. def hashCode(): Int
    Definition Classes
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    Annotations
    @native()
  13. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  14. final def map[B](f: (A) ⇒ B): Aux[F, B, I]

    Simple function composition.

    Simple function composition. Allows map fusion without touching the underlying F.

  15. final def ne(arg0: AnyRef): Boolean
    Definition Classes
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  16. final def notify(): Unit
    Definition Classes
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    Annotations
    @native()
  17. final def notifyAll(): Unit
    Definition Classes
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    Annotations
    @native()
  18. final def run(implicit F: Functor[F]): F[A]

    Converts to F[A] given that F is a functor

  19. final def synchronized[T0](arg0: ⇒ T0): T0
    Definition Classes
    AnyRef
  20. def toLan: Lan[Id.Id, F, A]

    Coyoneda[F,_] is the left Kan extension of F along Id

  21. def toString(): String
    Definition Classes
    AnyRef → Any
  22. final def toYoneda(implicit F: Functor[F]): Yoneda[F, A]

    Converts to Yoneda[F,A] given that F is a functor

  23. final def trans[G[_]](f: ~>[F, G]): Aux[G, A, I]
  24. final def unlift(implicit F: Functor[F]): F[A]

    Alias for run.

    Alias for run.

    Annotations
    @inline()
  25. final def wait(): Unit
    Definition Classes
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    Annotations
    @throws( ... )
  26. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
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    Annotations
    @throws( ... )
  27. final def wait(arg0: Long): Unit
    Definition Classes
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    Annotations
    @throws( ... ) @native()

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