Trait

scalaz

IsomorphismDivisible

Related Doc: package scalaz

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trait IsomorphismDivisible[F[_], G[_]] extends Divisible[F] with IsomorphismDivide[F, G] with IsomorphismInvariantApplicative[F, G]

Source
Divisible.scala
Linear Supertypes
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Inherited
  1. IsomorphismDivisible
  2. IsomorphismInvariantApplicative
  3. IsomorphismDivide
  4. IsomorphismContravariant
  5. IsomorphismInvariantFunctor
  6. Divisible
  7. InvariantApplicative
  8. Divide
  9. Contravariant
  10. InvariantFunctor
  11. AnyRef
  12. Any
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Visibility
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Type Members

  1. trait ContravariantLaw extends InvariantFunctorLaw

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    Definition Classes
    Contravariant
  2. trait DivideLaw extends ContravariantLaw

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    Definition Classes
    Divide
  3. trait DivisibleLaw extends DivideLaw

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    Definition Classes
    Divisible
  4. trait InvariantFunctorLaw extends AnyRef

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    Definition Classes
    InvariantFunctor

Abstract Value Members

  1. implicit abstract def G: Divisible[G]

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

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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 ==(arg0: Any): Boolean

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    Definition Classes
    AnyRef → Any
  4. final def asInstanceOf[T0]: T0

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    Definition Classes
    Any
  5. def clone(): AnyRef

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    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  6. def compose[G[_]](implicit G0: Contravariant[G]): Functor[[α]F[G[α]]]

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    The composition of Contravariant F and G, [x]F[G[x]], is covariant.

    The composition of Contravariant F and G, [x]F[G[x]], is covariant.

    Definition Classes
    Contravariant
  7. def conquer[A]: F[A]

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    Universally quantified instance of F[_]

    Universally quantified instance of F[_]

    Definition Classes
    IsomorphismDivisibleDivisible
  8. def contramap[A, B](r: F[A])(f: (B) ⇒ A): F[B]

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    Transform A.

    Transform A.

    Definition Classes
    IsomorphismContravariantContravariant
    Note

    contramap(r)(identity) = r

  9. def contravariantLaw: ContravariantLaw

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    Definition Classes
    Contravariant
  10. val contravariantSyntax: ContravariantSyntax[F]

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    Definition Classes
    Contravariant
  11. final def divide[A, B, C](fa: ⇒ F[A], fb: ⇒ F[B])(f: (C) ⇒ (A, B)): F[C]

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    Definition Classes
    Divide
  12. final def divide1[A1, Z](a1: F[A1])(f: (Z) ⇒ A1): F[Z]

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    Definition Classes
    Divide
  13. def divide2[A, B, C](fa: ⇒ F[A], fb: ⇒ F[B])(f: (C) ⇒ (A, B)): F[C]

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    Definition Classes
    IsomorphismDivideDivide
  14. def divide3[A1, A2, A3, Z](a1: ⇒ F[A1], a2: ⇒ F[A2], a3: ⇒ F[A3])(f: (Z) ⇒ (A1, A2, A3)): F[Z]

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    Definition Classes
    Divide
  15. def divide4[A1, A2, A3, A4, Z](a1: ⇒ F[A1], a2: ⇒ F[A2], a3: ⇒ F[A3], a4: ⇒ F[A4])(f: (Z) ⇒ (A1, A2, A3, A4)): F[Z]

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    Definition Classes
    Divide
  16. def divideLaw: DivideLaw

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    Definition Classes
    Divide
  17. val divideSyntax: DivideSyntax[F]

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    Definition Classes
    Divide
  18. final def dividing1[A1, Z](f: (Z) ⇒ A1)(implicit a1: F[A1]): F[Z]

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    Definition Classes
    Divide
  19. final def dividing2[A1, A2, Z](f: (Z) ⇒ (A1, A2))(implicit a1: F[A1], a2: F[A2]): F[Z]

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    Definition Classes
    Divide
  20. final def dividing3[A1, A2, A3, Z](f: (Z) ⇒ (A1, A2, A3))(implicit a1: F[A1], a2: F[A2], a3: F[A3]): F[Z]

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    Definition Classes
    Divide
  21. final def dividing4[A1, A2, A3, A4, Z](f: (Z) ⇒ (A1, A2, A3, A4))(implicit a1: F[A1], a2: F[A2], a3: F[A3], a4: F[A4]): F[Z]

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    Definition Classes
    Divide
  22. def divisibleLaw: DivisibleLaw

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    Definition Classes
    Divisible
  23. val divisibleSyntax: DivisibleSyntax[F]

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    Definition Classes
    Divisible
  24. final def eq(arg0: AnyRef): Boolean

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

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

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    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  27. final def getClass(): Class[_]

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

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    Definition Classes
    AnyRef → Any
  29. def icompose[G[_]](implicit G0: Functor[G]): Contravariant[[α]F[G[α]]]

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    The composition of Contravariant F and Functor G, [x]F[G[x]], is contravariant.

    The composition of Contravariant F and Functor G, [x]F[G[x]], is contravariant.

    Definition Classes
    Contravariant
  30. val invariantApplicativeSyntax: InvariantApplicativeSyntax[F]

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    Definition Classes
    InvariantApplicative
  31. def invariantFunctorLaw: InvariantFunctorLaw

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    Definition Classes
    InvariantFunctor
  32. val invariantFunctorSyntax: InvariantFunctorSyntax[F]

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    Definition Classes
    InvariantFunctor
  33. final def isInstanceOf[T0]: Boolean

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    Definition Classes
    Any
  34. def narrow[A, B](fa: F[A])(implicit ev: <~<[B, A]): F[B]

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    Definition Classes
    Contravariant
  35. final def ne(arg0: AnyRef): Boolean

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

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

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    Definition Classes
    AnyRef
  38. def product[G[_]](implicit G0: Contravariant[G]): Contravariant[[α](F[α], G[α])]

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    The product of Contravariant F and G, [x](F[x], G[x]]), is contravariant.

    The product of Contravariant F and G, [x](F[x], G[x]]), is contravariant.

    Definition Classes
    Contravariant
  39. final def synchronized[T0](arg0: ⇒ T0): T0

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    Definition Classes
    AnyRef
  40. def toString(): String

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    Definition Classes
    AnyRef → Any
  41. def tuple2[A1, A2](a1: ⇒ F[A1], a2: ⇒ F[A2]): F[(A1, A2)]

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    Definition Classes
    Divide
  42. final def wait(): Unit

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

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

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  45. final def xderiving0[Z](z: ⇒ Z): F[Z]

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    Definition Classes
    InvariantApplicative
  46. final def xderiving1[Z, A1](f: (A1) ⇒ Z, g: (Z) ⇒ A1)(implicit a1: F[A1]): F[Z]

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    Definition Classes
    InvariantApplicative
  47. final def xderiving2[Z, A1, A2](f: (A1, A2) ⇒ Z, g: (Z) ⇒ (A1, A2))(implicit a1: F[A1], a2: F[A2]): F[Z]

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    Definition Classes
    InvariantApplicative
  48. final def xderiving3[Z, A1, A2, A3](f: (A1, A2, A3) ⇒ Z, g: (Z) ⇒ (A1, A2, A3))(implicit a1: F[A1], a2: F[A2], a3: F[A3]): F[Z]

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    Definition Classes
    InvariantApplicative
  49. final def xderiving4[Z, A1, A2, A3, A4](f: (A1, A2, A3, A4) ⇒ Z, g: (Z) ⇒ (A1, A2, A3, A4))(implicit a1: F[A1], a2: F[A2], a3: F[A3], a4: F[A4]): F[Z]

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    Definition Classes
    InvariantApplicative
  50. def xmap[A, B](ma: F[A], f: (A) ⇒ B, g: (B) ⇒ A): F[B]

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    Converts ma to a value of type F[B] using the provided functions f and g.

    Converts ma to a value of type F[B] using the provided functions f and g.

    Definition Classes
    IsomorphismInvariantFunctorInvariantFunctor
  51. def xmapb[A, B](ma: F[A])(b: Bijection[A, B]): F[B]

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    Converts ma to a value of type F[B] using the provided bijection.

    Converts ma to a value of type F[B] using the provided bijection.

    Definition Classes
    InvariantFunctor
  52. def xmapi[A, B](ma: F[A])(iso: Isomorphism.<=>[A, B]): F[B]

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    Converts ma to a value of type F[B] using the provided isomorphism.

    Converts ma to a value of type F[B] using the provided isomorphism.

    Definition Classes
    InvariantFunctor
  53. def xproduct0[Z](z: ⇒ Z): F[Z]

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  54. def xproduct1[Z, A1](a1: ⇒ F[A1])(f: (A1) ⇒ Z, g: (Z) ⇒ A1): F[Z]

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  55. def xproduct2[Z, A1, A2](a1: ⇒ F[A1], a2: ⇒ F[A2])(f: (A1, A2) ⇒ Z, g: (Z) ⇒ (A1, A2)): F[Z]

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  56. def xproduct3[Z, A1, A2, A3](a1: ⇒ F[A1], a2: ⇒ F[A2], a3: ⇒ F[A3])(f: (A1, A2, A3) ⇒ Z, g: (Z) ⇒ (A1, A2, A3)): F[Z]

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  57. def xproduct4[Z, A1, A2, A3, A4](a1: ⇒ F[A1], a2: ⇒ F[A2], a3: ⇒ F[A3], a4: ⇒ F[A4])(f: (A1, A2, A3, A4) ⇒ Z, g: (Z) ⇒ (A1, A2, A3, A4)): F[Z]

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Inherited from IsomorphismInvariantApplicative[F, G]

Inherited from IsomorphismDivide[F, G]

Inherited from IsomorphismContravariant[F, G]

Inherited from IsomorphismInvariantFunctor[F, G]

Inherited from Divisible[F]

Inherited from InvariantApplicative[F]

Inherited from Divide[F]

Inherited from Contravariant[F]

Inherited from InvariantFunctor[F]

Inherited from AnyRef

Inherited from Any

Ungrouped