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c

scalaz

Isomorphisms

sealed abstract class Isomorphisms extends IsomorphismsLow0

Source
Isomorphism.scala
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  1. Isomorphisms
  2. IsomorphismsLow0
  3. IsomorphismsLow1
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Visibility
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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
    AnyRef → Any
  2. final def ##(): Int
    Definition Classes
    AnyRef → Any
  3. final def ==(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  4. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  5. def clone(): AnyRef
    Attributes
    protected[lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... ) @native()
  6. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  7. def equals(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  8. def finalize(): Unit
    Attributes
    protected[lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  9. final def getClass(): Class[_]
    Definition Classes
    AnyRef → Any
    Annotations
    @native()
  10. def hashCode(): Int
    Definition Classes
    AnyRef → Any
    Annotations
    @native()
  11. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  12. implicit def isoCommutative[A, B](implicit i: <=>[A, B]): <=>[B, A]

    Set isomorphism is commutative

    Set isomorphism is commutative

    Definition Classes
    IsomorphismsLow1
  13. implicit def isoNaturalCommutative[F[_], G[_]](implicit i: <~>[F, G]): <~>[G, F]

    Natural isomorphism is commutative

    Natural isomorphism is commutative

    Definition Classes
    IsomorphismsLow1
  14. implicit def isoNaturalRefl[F[_]]: <~>[F, F]

    Natural isomorphism is reflexive

    Natural isomorphism is reflexive

    Definition Classes
    IsomorphismsLow0
  15. implicit def isoRefl[A]: <=>[A, A]

    Set isomorphism is reflexive

    Set isomorphism is reflexive

    Definition Classes
    IsomorphismsLow0
  16. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  17. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native()
  18. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native()
  19. final def synchronized[T0](arg0: ⇒ T0): T0
    Definition Classes
    AnyRef
  20. def toString(): String
    Definition Classes
    AnyRef → Any
  21. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  22. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  23. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... ) @native()
  24. object IsoFunctor
  25. object IsoSet

Inherited from IsomorphismsLow0

Inherited from IsomorphismsLow1

Inherited from AnyRef

Inherited from Any

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