Object

scalaz

Isomorphism

Related Doc: package scalaz

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object Isomorphism extends Isomorphisms

Source
Isomorphism.scala
Linear Supertypes
Isomorphisms, IsomorphismsLow0, IsomorphismsLow1, AnyRef, Any
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Inherited
  1. Isomorphism
  2. Isomorphisms
  3. IsomorphismsLow0
  4. IsomorphismsLow1
  5. AnyRef
  6. Any
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Visibility
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Type Members

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

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    Alias for IsoSet

    Alias for IsoSet

    Definition Classes
    Isomorphisms

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

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    Alias for IsoFunctor

    Alias for IsoFunctor

    Definition Classes
    Isomorphisms

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

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    Alias for IsoBifunctor

    Alias for IsoBifunctor

    Definition Classes
    Isomorphisms

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

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

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

    Definition Classes
    Isomorphisms

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

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

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

    Definition Classes
    Isomorphisms

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

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

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

    Definition Classes
    Isomorphisms

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

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    Definition Classes
    Isomorphisms

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

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    Convenience template trait to implement <~~>

    Convenience template trait to implement <~~>

    Definition Classes
    Isomorphisms

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

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    Natural isomorphism between functors

    Natural isomorphism between functors

    Definition Classes
    Isomorphisms

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

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    Convenience template trait to implement <~>

    Convenience template trait to implement <~>

    Definition Classes
    Isomorphisms

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

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    Set isomorphism

    Set isomorphism

    Definition Classes
    Isomorphisms

Value Members

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

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    Definition Classes
    AnyRef → Any

  2. final def ##(): Int

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    Definition Classes
    AnyRef → Any

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

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    Definition Classes
    AnyRef → Any

  4. object IsoFunctor

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    Definition Classes
    Isomorphisms

  5. object IsoSet

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    Definition Classes
    Isomorphisms

  6. final def asInstanceOf[T0]: T0

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    Definition Classes
    Any

  7. def clone(): AnyRef

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    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

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

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    Definition Classes
    AnyRef

  9. def equals(arg0: Any): Boolean

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    Definition Classes
    AnyRef → Any

  10. def finalize(): Unit

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    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )

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

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    Definition Classes
    AnyRef → Any

  12. def hashCode(): Int

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    Definition Classes
    AnyRef → Any

  13. final def isInstanceOf[T0]: Boolean

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    Definition Classes
    Any

  14. implicit def isoCommutative[A, B](implicit i: <=>[A, B]): <=>[B, A]

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    Set isomorphism is commutative

    Set isomorphism is commutative

    Definition Classes
    IsomorphismsLow1

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

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    Natural isomorphism is commutative

    Natural isomorphism is commutative

    Definition Classes
    IsomorphismsLow1

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

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    Natural isomorphism is reflexive

    Natural isomorphism is reflexive

    Definition Classes
    IsomorphismsLow0

  17. implicit def isoRefl[A]: <=>[A, A]

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    Set isomorphism is reflexive

    Set isomorphism is reflexive

    Definition Classes
    IsomorphismsLow0

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

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    Definition Classes
    AnyRef

  19. final def notify(): Unit

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    Definition Classes
    AnyRef

  20. final def notifyAll(): Unit

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    Definition Classes
    AnyRef

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

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    Definition Classes
    AnyRef

  22. def toString(): String

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    Definition Classes
    AnyRef → Any

  23. final def wait(): Unit

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

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

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

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

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

Inherited from Isomorphisms

Inherited from IsomorphismsLow0

Inherited from IsomorphismsLow1

Inherited from AnyRef

Inherited from Any

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