Packages

object Ran

Source
Kan.scala
Linear Supertypes
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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. def adjointToRan[F[_], G[_], A](f: F[A])(implicit A: Adjunction[F, G]): Ran[G, Id.Id, A]
  5. final def asInstanceOf[T0]: T0
    Definition Classes
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  6. def clone(): AnyRef
    Attributes
    protected[java.lang]
    Definition Classes
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    Annotations
    @throws(classOf[java.lang.CloneNotSupportedException]) @native()
  7. def composedAdjointToRan[F[_], G[_], H[_], A](h: H[F[A]])(implicit A: Adjunction[F, G], H: Functor[H]): Ran[G, H, A]
  8. final def eq(arg0: AnyRef): Boolean
    Definition Classes
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  9. def equals(arg0: AnyRef): Boolean
    Definition Classes
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  10. def finalize(): Unit
    Attributes
    protected[java.lang]
    Definition Classes
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    @throws(classOf[java.lang.Throwable])
  11. def fromRan[G[_], H[_], K[_], B](k: K[G[B]])(s: ~>[K, [γ$2$]Ran[G, H, γ$2$]]): H[B]

    toRan and fromRan witness an adjunction from Compose[G,_,_] to Ran[G,_,_].

  12. final def getClass(): Class[_ <: AnyRef]
    Definition Classes
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    Annotations
    @native()
  13. def gran[G[_], H[_], A](r: Ran[G, H, G[A]]): H[A]

    This is the natural transformation that defines a right Kan extension.

  14. def hashCode(): Int
    Definition Classes
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    Annotations
    @native()
  15. final def isInstanceOf[T0]: Boolean
    Definition Classes
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  16. final def ne(arg0: AnyRef): Boolean
    Definition Classes
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  17. final def notify(): Unit
    Definition Classes
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    @native()
  18. final def notifyAll(): Unit
    Definition Classes
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    @native()
  19. implicit def ranFunctor[G[_], H[_]]: Functor[[γ$0$]Ran[G, H, γ$0$]]
  20. def ranToAdjoint[F[_], G[_], A](r: Ran[G, Id.Id, A])(implicit A: Adjunction[F, G]): F[A]
  21. final def synchronized[T0](arg0: => T0): T0
    Definition Classes
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  22. def toRan[G[_], H[_], K[_], B](k: K[B])(s: ~>[[α]K[G[α]], H])(implicit arg0: Functor[K]): Ran[G, H, B]

    The universal property of a right Kan extension.

    The universal property of a right Kan extension. The functor Ran[G,H,_] and the natural transformation gran[G,H,_] are couniversal in the sense that for any functor K and a natural transformation s from K[G[_]] to H, a unique natural transformation toRan exists from K to Ran[G,H,_] such that for all k, gran(toRan(k)) = s(k).

  23. def toString(): String
    Definition Classes
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  24. final def wait(): Unit
    Definition Classes
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    Annotations
    @throws(classOf[java.lang.InterruptedException])
  25. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
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    Annotations
    @throws(classOf[java.lang.InterruptedException])
  26. final def wait(arg0: Long): Unit
    Definition Classes
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    Annotations
    @throws(classOf[java.lang.InterruptedException]) @native()

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