Trait

scalaz.Traverse1

Traverse1Law

Related Doc: package Traverse1

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trait Traverse1Law extends TraverseLaw

Source
Traverse1.scala
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  1. Traverse1Law
  2. TraverseLaw
  3. FunctorLaw
  4. InvariantFunctorLaw
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  1. final def !=(arg0: Any): Boolean

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  2. final def ##(): Int

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

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  4. final def asInstanceOf[T0]: T0

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  5. def clone(): AnyRef

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    protected[java.lang]
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    @throws( ... )
  6. def composite[A, B, C](fa: F[A], f1: (A) ⇒ B, f2: (B) ⇒ C)(implicit FC: Equal[F[C]]): Boolean

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    A series of maps may be freely rewritten as a single map on a composed function.

    A series of maps may be freely rewritten as a single map on a composed function.

    Definition Classes
    FunctorLaw
  7. final def eq(arg0: AnyRef): Boolean

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  8. def equals(arg0: Any): Boolean

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  9. def finalize(): Unit

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    protected[java.lang]
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    @throws( classOf[java.lang.Throwable] )
  10. final def getClass(): Class[_]

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  11. def hashCode(): Int

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  12. def identity[A](fa: F[A])(implicit FA: Equal[F[A]]): Boolean

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    The identity function, lifted, is a no-op.

    The identity function, lifted, is a no-op.

    Definition Classes
    FunctorLaw
  13. def identityTraverse[A, B](fa: F[A], f: (A) ⇒ B)(implicit FB: Equal[F[B]]): Boolean

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    Traversal through the scalaz.Id effect is equivalent to Functor#map

    Traversal through the scalaz.Id effect is equivalent to Functor#map

    Definition Classes
    TraverseLaw
  14. def identityTraverse1[A, B](fa: F[A], f: (A) ⇒ B)(implicit FB: Equal[F[B]]): Boolean

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    Traversal through the scalaz.Id effect is equivalent to Functor#map.

  15. def invariantComposite[A, B, C](fa: F[A], f1: (A) ⇒ B, g1: (B) ⇒ A, f2: (B) ⇒ C, g2: (C) ⇒ B)(implicit FC: Equal[F[C]]): Boolean

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    Definition Classes
    InvariantFunctorLaw
  16. def invariantIdentity[A](fa: F[A])(implicit FA: Equal[F[A]]): Boolean

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    Definition Classes
    InvariantFunctorLaw
  17. final def isInstanceOf[T0]: Boolean

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  18. def naturality[N[_], M[_], A](nat: ~>[M, N])(fma: F[M[A]])(implicit N: Applicative[N], M: Applicative[M], NFA: Equal[N[F[A]]]): Boolean

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    nat

    A natural transformation from M to N for which these properties hold: (a: A) => nat(Applicative[M].point[A](a)) === Applicative[N].point[A](a) (f: M[A => B], ma: M[A]) => nat(Applicative[M].ap(ma)(f)) === Applicative[N].ap(nat(ma))(nat(f))

    Definition Classes
    TraverseLaw
  19. def naturality1[N[_], M[_], A](nat: ~>[M, N])(fma: F[M[A]])(implicit N: Apply[N], M: Apply[M], NFA: Equal[N[F[A]]]): Boolean

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    naturality specialized to sequence1.

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

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  21. final def notify(): Unit

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  22. final def notifyAll(): Unit

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  23. def parallelFusion[N[_], M[_], A, B](fa: F[A], amb: (A) ⇒ M[B], anb: (A) ⇒ N[B])(implicit N: Applicative[N], M: Applicative[M], MN: Equal[(M[F[B]], N[F[B]])]): Boolean

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    Two independent effects can be fused into a single effect, their product.

    Two independent effects can be fused into a single effect, their product.

    Definition Classes
    TraverseLaw
  24. def parallelFusion1[N[_], M[_], A, B](fa: F[A], amb: (A) ⇒ M[B], anb: (A) ⇒ N[B])(implicit N: Apply[N], M: Apply[M], MN: Equal[(M[F[B]], N[F[B]])]): Boolean

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    Two independent effects can be fused into a single effect, their product.

  25. def purity[G[_], A](fa: F[A])(implicit G: Applicative[G], GFA: Equal[G[F[A]]]): Boolean

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    Traversal with the point function is the same as applying the point function directly

    Traversal with the point function is the same as applying the point function directly

    Definition Classes
    TraverseLaw
  26. def sequentialFusion[N[_], M[_], A, B, C](fa: F[A], amb: (A) ⇒ M[B], bnc: (B) ⇒ N[C])(implicit N: Applicative[N], M: Applicative[M], MN: Equal[M[N[F[C]]]]): Boolean

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    Two sequentially dependent effects can be fused into one, their composition

    Two sequentially dependent effects can be fused into one, their composition

    Definition Classes
    TraverseLaw
  27. def sequentialFusion1[N[_], M[_], A, B, C](fa: F[A], amb: (A) ⇒ M[B], bnc: (B) ⇒ N[C])(implicit N: Apply[N], M: Apply[M], MN: Equal[M[N[F[C]]]]): Boolean

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    Two sequentially dependent effects can be fused into one, their composition.

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

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  29. def toString(): String

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  30. final def wait(): Unit

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    @throws( ... )
  31. final def wait(arg0: Long, arg1: Int): Unit

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

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Inherited from Traverse1.TraverseLaw

Inherited from Traverse1.FunctorLaw

Inherited from AnyRef

Inherited from Any

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