trait CommutativeArrowLaws[F[_, _]] extends ArrowLaws[F]

Reference: "Causal Commutative Arrows", Journal of Functional Programming Figure 4.

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

  1. implicit abstract def F: CommutativeArrow[F]

Concrete Value Members

  1. final def !=(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  2. final def ##(): Int
    Definition Classes
    AnyRef → Any
  3. final def ==(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  4. def arrowAssociation[A, B, C, D](f: F[A, B]): IsEq[F[((A, C), D), (B, (C, D))]]
    Definition Classes
    ArrowLaws
  5. def arrowCommutative[A, B, C, D](f: F[A, B], g: F[C, D]): IsEq[F[(A, C), (B, D)]]
  6. def arrowComposition[A, B, C](f: (A) ⇒ B, g: (B) ⇒ C): IsEq[F[A, C]]
    Definition Classes
    ArrowLaws
  7. def arrowExchange[A, B, C, D](f: F[A, B], g: (C) ⇒ D): IsEq[F[(A, C), (B, D)]]
    Definition Classes
    ArrowLaws
  8. def arrowExtension[A, B, C](g: (A) ⇒ B): IsEq[F[(A, C), (B, C)]]
    Definition Classes
    ArrowLaws
  9. def arrowFunctor[A, B, C, D](f: F[A, B], g: F[B, C]): IsEq[F[(A, D), (C, D)]]
    Definition Classes
    ArrowLaws
  10. def arrowIdentity[A]: IsEq[F[A, A]]
    Definition Classes
    ArrowLaws
  11. def arrowUnit[A, B, C](f: F[A, B]): IsEq[F[(A, C), B]]
    Definition Classes
    ArrowLaws
  12. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  13. def categoryLeftIdentity[A, B](f: F[A, B]): IsEq[F[A, B]]
    Definition Classes
    CategoryLaws
  14. def categoryRightIdentity[A, B](f: F[A, B]): IsEq[F[A, B]]
    Definition Classes
    CategoryLaws
  15. def clone(): AnyRef
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @native() @throws( ... )
  16. 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
  17. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  18. def equals(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  19. def finalize(): Unit
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  20. final def getClass(): Class[_]
    Definition Classes
    AnyRef → Any
    Annotations
    @native()
  21. def hashCode(): Int
    Definition Classes
    AnyRef → Any
    Annotations
    @native()
  22. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  23. def mergeConsistentWithAndThen[A, B, C](f: F[A, B], g: F[A, C]): IsEq[F[A, (B, C)]]
    Definition Classes
    ArrowLaws
  24. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  25. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native()
  26. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native()
  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 profunctorLmapComposition[A2, A1, A0, B](fab: F[A0, B], f: (A2) ⇒ A1, g: (A1) ⇒ A0): IsEq[F[A2, B]]
    Definition Classes
    ProfunctorLaws
  30. def profunctorLmapIdentity[A, B](fab: F[A, B]): IsEq[F[A, B]]
    Definition Classes
    ProfunctorLaws
  31. def profunctorRmapComposition[A, B2, B1, B0](fab: F[A, B0], f: (B0) ⇒ B1, g: (B1) ⇒ B2): IsEq[F[A, B2]]
    Definition Classes
    ProfunctorLaws
  32. def profunctorRmapIdentity[A, B](fab: F[A, B]): IsEq[F[A, B]]
    Definition Classes
    ProfunctorLaws
  33. def splitConsistentWithAndThen[A, B, C, D](f: F[A, B], g: F[C, D]): IsEq[F[(A, C), (B, D)]]
    Definition Classes
    ArrowLaws
  34. 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
  35. 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
  36. final def synchronized[T0](arg0: ⇒ T0): T0
    Definition Classes
    AnyRef
  37. def toString(): String
    Definition Classes
    AnyRef → Any
  38. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  39. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  40. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @throws( ... )

Inherited from ArrowLaws[F]

Inherited from StrongLaws[F]

Inherited from ProfunctorLaws[F]

Inherited from CategoryLaws[F]

Inherited from ComposeLaws[F]

Inherited from AnyRef

Inherited from Any

Ungrouped