scalaz

Lan

trait Lan[G[_], H[_], A] extends AnyRef

The left Kan extension of H along G

Self Type
Lan[G, H, A]
Source
Kan.scala
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Type Members

  1. abstract type I

Abstract Value Members

  1. abstract def f(gi: G[I]): A

  2. abstract def v: H[I]

Concrete Value Members

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

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

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  3. final def ##(): Int

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  4. final def ==(arg0: AnyRef): Boolean

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

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  6. final def asInstanceOf[T0]: T0

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  7. def clone(): AnyRef

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

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  9. def equals(arg0: Any): Boolean

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  10. def finalize(): Unit

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  11. final def getClass(): Class[_]

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  12. def hashCode(): Int

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  13. final def isInstanceOf[T0]: Boolean

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  14. def map[B](g: (A) ⇒ B): Lan[G, H, B]

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

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  16. final def notify(): Unit

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  17. final def notifyAll(): Unit

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

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  19. def toAdjoint[F[_]](implicit H: Functor[H], A: Adjunction[G, F]): H[F[A]]

    If G is left adjoint to F, there is a natural isomorphism between Lan[G,H,_] and H[F[_]]

  20. def toLan[F[_]](s: ~>[H, [α]F[G[α]]])(implicit arg0: Functor[F]): F[A]

    The universal property of a left Kan extension.

    The universal property of a left Kan extension. The functor Lan[G,H,_] and the natural transformation glan[G,H,_] are universal in the sense that for any functor F and a natural transformation s from H to F[G[_]], a unique natural transformation toLan exists from Lan[G,H,_] to F such that for all h, glan(h).toLan = s(h).

  21. def toString(): String

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  22. final def wait(): Unit

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

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

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