scalaz.Traverse1

Traverse1Law

trait Traverse1Law extends TraverseLaw

Source
Traverse1.scala
Linear Supertypes
Traverse1.TraverseLaw, Traverse1.FunctorLaw, Traverse1.InvariantFunctorLaw, AnyRef, Any
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  1. Traverse1Law
  2. TraverseLaw
  3. FunctorLaw
  4. InvariantFunctorLaw
  5. AnyRef
  6. Any
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Value Members

  1. final def !=(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef
  2. final def !=(arg0: Any): Boolean

    Definition Classes
    Any
  3. final def ##(): Int

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

    Definition Classes
    AnyRef
  5. final def ==(arg0: Any): Boolean

    Definition Classes
    Any
  6. final def asInstanceOf[T0]: T0

    Definition Classes
    Any
  7. def clone(): AnyRef

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  8. def composite[A, B, C](fa: F[A], f1: (A) ⇒ B, f2: (B) ⇒ C)(implicit FC: Equal[F[C]]): Boolean

    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
  9. final def eq(arg0: AnyRef): Boolean

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

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

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

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

    Definition Classes
    AnyRef → Any
  14. def identity[A](fa: F[A])(implicit FA: Equal[F[A]]): Boolean

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

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

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

    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
  16. def identityTraverse1[A, B](fa: F[A], f: (A) ⇒ B)(implicit FB: Equal[F[B]]): Boolean

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

  17. 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

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

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

    Definition Classes
    Any
  20. 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

    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
  21. 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

    naturality specialized to sequence1.

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

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

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

    Definition Classes
    AnyRef
  25. 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

    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
  26. 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

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

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

    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
  28. 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

    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
  29. 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

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

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

    Definition Classes
    AnyRef
  31. def toString(): String

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

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

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

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

Inherited from Traverse1.TraverseLaw

Inherited from Traverse1.FunctorLaw

Inherited from Traverse1.InvariantFunctorLaw

Inherited from AnyRef

Inherited from Any

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