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c

scalaz

Isomorphisms

sealed abstract class Isomorphisms extends AnyRef

Source
Isomorphism.scala
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Type Members

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

    Alias for IsoSet

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

    Alias for IsoFunctor

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

    Alias for IsoBifunctor

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

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

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

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

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

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

  7. type IsoBifunctor[F[_, _], G[_, _]] = Iso3[~~>, F, G]
  8. trait IsoBifunctorTemplate[F[_, _], G[_, _]] extends IsoBifunctor[F, G]

    Convenience template trait to implement <~~>

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

    Natural isomorphism between functors

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

    Convenience template trait to implement <~>

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

    Set isomorphism

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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    @throws(classOf[java.lang.CloneNotSupportedException]) @native()
  6. def commutative[A, B](i: <=>[A, B]): <=>[B, A]

    Set isomorphism is commutative

  7. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  8. def equals(arg0: AnyRef): Boolean
    Definition Classes
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  9. def finalize(): Unit
    Attributes
    protected[lang]
    Definition Classes
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    @throws(classOf[java.lang.Throwable])
  10. final def getClass(): Class[_ <: AnyRef]
    Definition Classes
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    Annotations
    @native()
  11. def hashCode(): Int
    Definition Classes
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    Annotations
    @native()
  12. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  13. def naturalCommutative[F[_], G[_]](i: <~>[F, G]): <~>[G, F]

    Natural isomorphism is commutative

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

    Natural isomorphism is reflexive

  15. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  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. def refl[A]: <=>[A, A]

    Set isomorphism is reflexive

  19. final def synchronized[T0](arg0: => T0): T0
    Definition Classes
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  20. def toString(): String
    Definition Classes
    AnyRef → Any
  21. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException])
  22. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
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    Annotations
    @throws(classOf[java.lang.InterruptedException])
  23. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException]) @native()
  24. object IsoFunctor
  25. object IsoSet

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