scalaz

Isomorphism

object Isomorphism extends Isomorphisms

Source
Isomorphism.scala
Linear Supertypes
Isomorphisms, IsomorphismsLow0, IsomorphismsLow1, AnyRef, Any
Ordering
  1. Alphabetic
  2. By inheritance
Inherited
  1. Isomorphism
  2. Isomorphisms
  3. IsomorphismsLow0
  4. IsomorphismsLow1
  5. AnyRef
  6. Any
  1. Hide All
  2. Show all
Learn more about member selection
Visibility
  1. Public
  2. All

Type Members

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

    Alias for IsoSet

    Alias for IsoSet

    Definition Classes
    Isomorphisms

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

    Alias for IsoFunctor

    Alias for IsoFunctor

    Definition Classes
    Isomorphisms

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

    Alias for IsoBifunctor

    Alias for IsoBifunctor

    Definition Classes
    Isomorphisms

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

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

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

    Definition Classes
    Isomorphisms

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

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

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

    Definition Classes
    Isomorphisms

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

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

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

    Definition Classes
    Isomorphisms

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

    Definition Classes
    Isomorphisms

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

    Convenience template trait to implement <~~>

    Convenience template trait to implement <~~>

    Definition Classes
    Isomorphisms

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

    Natural isomorphism between functors

    Natural isomorphism between functors

    Definition Classes
    Isomorphisms

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

    Convenience template trait to implement <~>

    Convenience template trait to implement <~>

    Definition Classes
    Isomorphisms

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

    Set isomorphism

    Set isomorphism

    Definition Classes
    Isomorphisms

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

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

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

    Definition Classes
    AnyRef → Any

  10. def hashCode(): Int

    Definition Classes
    AnyRef → Any

  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

  18. final def notifyAll(): Unit

    Definition Classes
    AnyRef

  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( ... )

Inherited from Isomorphisms

Inherited from IsomorphismsLow0

Inherited from IsomorphismsLow1

Inherited from AnyRef

Inherited from Any

Ungrouped