Class

scalaz

Isomorphisms

Related Doc: package scalaz

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sealed abstract class Isomorphisms extends AnyRef

Source
Isomorphism.scala
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Isomorphism
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Type Members

  1. type <=>[A, B] = Iso[Function1, A, B]

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    Alias for IsoSet

  2. type <~>[F[_], G[_]] = Iso2[NaturalTransformation, F, G]

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    Alias for IsoFunctor

  3. type <~~>[F[_, _], G[_, _]] = Iso3[~~>, F, G]

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    Alias for IsoBifunctor

  4. trait Iso[Arr[_, _], A, B] extends AnyRef

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    Isomorphism for arrows of kind * -> * -> *

  5. trait Iso2[Arr[_[_], _[_]], F[_], G[_]] extends AnyRef

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    Isomorphism for arrows of kind (* -> *) -> (* -> *) -> *

  6. trait Iso3[Arr[_[_, _], _[_, _]], F[_, _], G[_, _]] extends AnyRef

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    Isomorphism for arrows of kind (* -> * -> *) -> (* -> * -> *) -> *

  7. type IsoBifunctor[F[_, _], G[_, _]] = Iso3[~~>, F, G]

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  8. trait IsoBifunctorTemplate[F[_, _], G[_, _]] extends IsoBifunctor[F, G]

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    Convenience template trait to implement <~~>

  9. type IsoFunctor[F[_], G[_]] = Iso2[NaturalTransformation, F, G]

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    Natural isomorphism between functors

  10. trait IsoFunctorTemplate[F[_], G[_]] extends IsoFunctor[F, G]

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    Convenience template trait to implement <~>

  11. type IsoSet[A, B] = Iso[Function1, A, B]

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    Set isomorphism

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. object IsoFunctor

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  5. object IsoSet

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  6. final def asInstanceOf[T0]: T0

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  7. def clone(): AnyRef

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  8. def commutative[A, B](i: <=>[A, B]): <=>[B, A]

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    Set isomorphism is commutative

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

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  10. def equals(arg0: Any): Boolean

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  11. def finalize(): Unit

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

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  13. def hashCode(): Int

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  14. final def isInstanceOf[T0]: Boolean

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  15. def naturalCommutative[F[_], G[_]](i: <~>[F, G]): <~>[G, F]

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    Natural isomorphism is commutative

  16. def naturalRefl[F[_]]: <~>[F, F]

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    Natural isomorphism is reflexive

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

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  18. final def notify(): Unit

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  19. final def notifyAll(): Unit

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  20. def refl[A]: <=>[A, A]

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    Set isomorphism is reflexive

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

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  22. def toString(): String

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  23. final def wait(): Unit

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

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

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