cats.laws

ArrowLaws

trait ArrowLaws[F[_, _]] extends CategoryLaws[F] with SplitLaws[F] with StrongLaws[F]

Laws that must be obeyed by any cats.arrow.Arrow.

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Inherited
  1. ArrowLaws
  2. StrongLaws
  3. ProfunctorLaws
  4. SplitLaws
  5. CategoryLaws
  6. ComposeLaws
  7. AnyRef
  8. Any
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Abstract Value Members

  1. implicit abstract def F: Arrow[F]

    Definition Classes
    ArrowLawsStrongLawsProfunctorLawsSplitLawsCategoryLawsComposeLaws

Concrete 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. def arrowAssociation[A, B, C, D](f: F[A, B]): IsEq[F[((A, C), D), (B, (C, D))]]

  7. def arrowComposition[A, B, C](f: (A) ⇒ B, g: (B) ⇒ C): IsEq[F[A, C]]

  8. def arrowExchange[A, B, C, D](f: F[A, B], g: (C) ⇒ D): IsEq[F[(A, C), (B, D)]]

  9. def arrowExtension[A, B, C](g: (A) ⇒ B): IsEq[F[(A, C), (B, C)]]

  10. def arrowFunctor[A, B, C, D](f: F[A, B], g: F[B, C]): IsEq[F[(A, D), (C, D)]]

  11. def arrowIdentity[A]: IsEq[F[A, A]]

  12. def arrowUnit[A, B, C](f: F[A, B]): IsEq[F[(A, C), B]]

  13. final def asInstanceOf[T0]: T0

    Definition Classes
    Any
  14. def categoryLeftIdentity[A, B](f: F[A, B]): IsEq[F[A, B]]

    Definition Classes
    CategoryLaws
  15. def categoryRightIdentity[A, B](f: F[A, B]): IsEq[F[A, B]]

    Definition Classes
    CategoryLaws
  16. def clone(): AnyRef

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  17. def composeAssociativity[A, B, C, D](fab: F[A, B], fbc: F[B, C], fcd: F[C, D]): IsEq[F[A, D]]

    Definition Classes
    ComposeLaws
  18. final def eq(arg0: AnyRef): Boolean

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

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

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

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

    Definition Classes
    AnyRef → Any
  23. final def isInstanceOf[T0]: Boolean

    Definition Classes
    Any
  24. final def ne(arg0: AnyRef): Boolean

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

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

    Definition Classes
    AnyRef
  27. def profunctorComposition[A2, A1, A0, B0, B1, B2](fab: F[A0, B0], f2: (A2) ⇒ A1, f1: (A1) ⇒ A0, g1: (B0) ⇒ B1, g2: (B1) ⇒ B2): IsEq[F[A2, B2]]

    Definition Classes
    ProfunctorLaws
  28. def profunctorIdentity[A, B](fab: F[A, B]): IsEq[F[A, B]]

    Definition Classes
    ProfunctorLaws
  29. def splitInterchange[A1, A2, A3, B1, B2, B3](f1: F[A1, A2], f2: F[A2, A3], g1: F[B1, B2], g2: F[B2, B3]): IsEq[F[(A1, B1), (A3, B3)]]

    Definition Classes
    SplitLaws
  30. def strongFirstDistributivity[A0, A1, B1, B2, C](fab: F[A1, B1], f: (A0) ⇒ A1, g: (B1) ⇒ B2): IsEq[F[(A0, C), (B2, C)]]

    Definition Classes
    StrongLaws
  31. def strongSecondDistributivity[A0, A1, B1, B2, C](fab: F[A1, B1], f: (A0) ⇒ A1, g: (B1) ⇒ B2): IsEq[F[(C, A0), (C, B2)]]

    Definition Classes
    StrongLaws
  32. final def synchronized[T0](arg0: ⇒ T0): T0

    Definition Classes
    AnyRef
  33. def toString(): String

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

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

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

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

Inherited from StrongLaws[F]

Inherited from ProfunctorLaws[F]

Inherited from SplitLaws[F]

Inherited from CategoryLaws[F]

Inherited from ComposeLaws[F]

Inherited from AnyRef

Inherited from Any

Ungrouped