Trait

scalaz.Traverse

TraverseLaw

Related Doc: package Traverse

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trait TraverseLaw extends FunctorLaw

Source
Traverse.scala
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  1. TraverseLaw
  2. FunctorLaw
  3. 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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  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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  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

  14. 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
  15. def invariantIdentity[A](fa: F[A])(implicit FA: Equal[F[A]]): Boolean

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    InvariantFunctorLaw
  16. final def isInstanceOf[T0]: Boolean

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  17. 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))

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

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  19. final def notify(): Unit

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  20. final def notifyAll(): Unit

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  21. 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.

  22. 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

  23. 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

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

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  25. def toString(): String

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  26. final def wait(): Unit

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

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

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Inherited from Traverse.FunctorLaw

Inherited from AnyRef

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