Trait

scalaz

IsomorphismArrow

Related Doc: package scalaz

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trait IsomorphismArrow[F[_, _], G[_, _]] extends Arrow[F] with IsomorphismSplit[F, G] with IsomorphismStrong[F, G] with IsomorphismCategory[F, G]

Source
Isomorphism.scala
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Inherited
  1. IsomorphismArrow
  2. IsomorphismCategory
  3. IsomorphismStrong
  4. IsomorphismProfunctor
  5. IsomorphismSplit
  6. IsomorphismCompose
  7. Arrow
  8. ArrowParent
  9. Category
  10. Strong
  11. Profunctor
  12. Split
  13. Compose
  14. AnyRef
  15. Any
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Type Members

  1. trait CategoryLaw extends ComposeLaw

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    Definition Classes
    Category
  2. trait ComposeLaw extends AnyRef

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    Definition Classes
    Compose
  3. trait ComposePlus extends Plus[[α]=>:[α, α]]

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    Attributes
    protected[this]
    Definition Classes
    Compose
  4. trait ComposeSemigroup[A] extends Semigroup[=>:[A, A]]

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    Attributes
    protected[this]
    Definition Classes
    Compose
  5. trait SndCovariant[C] extends Functor[[β$0$]=>:[C, β$0$]]

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    Attributes
    protected[this]
    Definition Classes
    Profunctor

Abstract Value Members

  1. implicit abstract def G: Arrow[G]

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  2. abstract def iso: Isomorphism.<~~>[F, G]

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    Definition Classes
    IsomorphismProfunctor

Concrete 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 <<<[A, B, C](fbc: F[B, C], fab: F[A, B]): F[A, C]

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    Alias for compose.

    Alias for compose.

    Definition Classes
    Arrow
  4. final def ==(arg0: Any): Boolean

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    Definition Classes
    AnyRef → Any
  5. def >>>[A, B, C](fab: F[A, B], fbc: F[B, C]): F[A, C]

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    Flipped <<<.

    Flipped <<<.

    Definition Classes
    Arrow
  6. def arr[A, B](f: (A) ⇒ B): F[A, B]

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    Lift an ordinary function.

    Lift an ordinary function.

    Definition Classes
    IsomorphismArrowArrow
  7. val arrowSyntax: ArrowSyntax[F]

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    Definition Classes
    Arrow
  8. final def asInstanceOf[T0]: T0

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    Definition Classes
    Any
  9. def categoryLaw: CategoryLaw

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    Definition Classes
    Category
  10. val categorySyntax: CategorySyntax[F]

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    Definition Classes
    Category
  11. def clone(): AnyRef

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    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  12. def combine[A, B, C](fab: F[A, B], fac: F[A, C]): F[A, (B, C)]

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    Run fab and fac on the same A.

    Run fab and fac on the same A. Sometimes &&&.

    Definition Classes
    Arrow
  13. def compose[A, B, C](f: F[B, C], g: F[A, B]): F[A, C]

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    Associative =>: binary operator.

    Associative =>: binary operator.

    Definition Classes
    IsomorphismComposeCompose
  14. def composeLaw: ComposeLaw

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    Definition Classes
    Compose
  15. val composeSyntax: ComposeSyntax[F]

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    Definition Classes
    Compose
  16. def contravariantInstance[C]: Contravariant[[α$2$]F[α$2$, C]]

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    Definition Classes
    Profunctor
  17. def covariantInstance[C]: Applicative[[β$0$]F[C, β$0$]]

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    Definition Classes
    ArrowProfunctor
  18. def dimap[A, B, C, D](fab: F[A, B])(f: (C) ⇒ A)(g: (B) ⇒ D): F[C, D]

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    Functor map on A and B.

    Functor map on A and B.

    Definition Classes
    Profunctor
  19. def empty: PlusEmpty[[α]F[α, α]]

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    monoid, but universally quantified.

    monoid, but universally quantified.

    Definition Classes
    Category
  20. final def eq(arg0: AnyRef): Boolean

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    Definition Classes
    AnyRef
  21. def equals(arg0: Any): Boolean

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    Definition Classes
    AnyRef → Any
  22. def finalize(): Unit

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    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  23. def first[A, B, C](fa: F[A, B]): F[(A, C), (B, C)]

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    Definition Classes
    IsomorphismStrongStrong
  24. final def getClass(): Class[_]

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    Definition Classes
    AnyRef → Any
  25. def hashCode(): Int

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    Definition Classes
    AnyRef → Any
  26. def id[A]: F[A, A]

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    The left and right identity over compose.

    The left and right identity over compose.

    Definition Classes
    IsomorphismCategoryCategory
  27. def invariantFunctor: InvariantFunctor[[α]F[α, α]]

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    Definition Classes
    Profunctor
  28. final def isInstanceOf[T0]: Boolean

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    Definition Classes
    Any
  29. def mapfst[A, B, C](fab: F[A, B])(f: (C) ⇒ A): F[C, B]

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    Contramap on A.

    Contramap on A.

    Definition Classes
    IsomorphismProfunctorProfunctor
  30. def mapsnd[A, B, C](fab: F[A, B])(f: (B) ⇒ C): F[A, C]

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    Functor map on B.

    Functor map on B.

    Definition Classes
    IsomorphismProfunctorProfunctor
  31. def monoid[A]: Monoid[F[A, A]]

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    The endomorphism monoid, where zero=id and append=compose.

    The endomorphism monoid, where zero=id and append=compose.

    Definition Classes
    Category
  32. final def ne(arg0: AnyRef): Boolean

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    Definition Classes
    AnyRef
  33. final def notify(): Unit

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    Definition Classes
    AnyRef
  34. final def notifyAll(): Unit

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    Definition Classes
    AnyRef
  35. def plus: Plus[[α]F[α, α]]

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    semigroup, but universally quantified.

    semigroup, but universally quantified.

    Definition Classes
    Compose
  36. def product[A, B](fab: F[A, B]): F[(A, A), (B, B)]

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    Run two fabs alongside each other.

    Run two fabs alongside each other.

    Definition Classes
    Arrow
  37. val profunctorSyntax: ProfunctorSyntax[F]

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    Definition Classes
    Profunctor
  38. def second[A, B, C](fa: F[A, B]): F[(C, A), (C, B)]

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    Definition Classes
    IsomorphismStrongStrong
  39. def semigroup[A]: Semigroup[F[A, A]]

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    The endomorphism semigroup, where append=compose.

    The endomorphism semigroup, where append=compose.

    Definition Classes
    Compose
  40. def split[A, B, C, D](f: F[A, B], g: F[C, D]): F[(A, C), (B, D)]

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    Definition Classes
    IsomorphismSplitSplit
  41. final def splitA[A, B, C, D](fab: F[A, B], fcd: F[C, D]): F[(A, C), (B, D)]

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    Alias for split.

    Alias for split.

    Definition Classes
    Arrow
  42. val splitSyntax: SplitSyntax[F]

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    Definition Classes
    Split
  43. val strongSyntax: StrongSyntax[F]

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    Definition Classes
    Strong
  44. final def synchronized[T0](arg0: ⇒ T0): T0

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    Definition Classes
    AnyRef
  45. def toString(): String

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    Definition Classes
    AnyRef → Any
  46. final def wait(): Unit

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  47. final def wait(arg0: Long, arg1: Int): Unit

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  48. final def wait(arg0: Long): Unit

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

Inherited from IsomorphismCategory[F, G]

Inherited from IsomorphismStrong[F, G]

Inherited from IsomorphismProfunctor[F, G]

Inherited from IsomorphismSplit[F, G]

Inherited from IsomorphismCompose[F, G]

Inherited from Arrow[F]

Inherited from ArrowParent[F]

Inherited from Category[F]

Inherited from Strong[F]

Inherited from Profunctor[F]

Inherited from Split[F]

Inherited from Compose[F]

Inherited from AnyRef

Inherited from Any

Ungrouped