cats.laws

ApplicativeLaws

trait ApplicativeLaws[F[_]] extends ApplyLaws[F]

Laws that must be obeyed by any Applicative.

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  1. ApplicativeLaws
  2. ApplyLaws
  3. CartesianLaws
  4. FunctorLaws
  5. InvariantLaws
  6. AnyRef
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Abstract Value Members

  1. implicit abstract def F: Applicative[F]

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 apProductConsistent[A, B](fa: F[A], f: F[(A) ⇒ B]): IsEq[F[B]]

  7. def applicativeComposition[A, B, C](fa: F[A], fab: F[(A) ⇒ B], fbc: F[(B) ⇒ C]): IsEq[F[C]]

    This law is applyComposition stated in terms of pure.

    This law is applyComposition stated in terms of pure. It is a combination of applyComposition and applicativeMap and hence not strictly necessary.

  8. def applicativeHomomorphism[A, B](a: A, f: (A) ⇒ B): IsEq[F[B]]

  9. def applicativeIdentity[A](fa: F[A]): IsEq[F[A]]

  10. def applicativeInterchange[A, B](a: A, ff: F[(A) ⇒ B]): IsEq[F[B]]

  11. def applicativeMap[A, B](fa: F[A], f: (A) ⇒ B): IsEq[F[B]]

  12. def applyComposition[A, B, C](fa: F[A], fab: F[(A) ⇒ B], fbc: F[(B) ⇒ C]): IsEq[F[C]]

    Definition Classes
    ApplyLaws
  13. final def asInstanceOf[T0]: T0

    Definition Classes
    Any
  14. def cartesianAssociativity[A, B, C](fa: F[A], fb: F[B], fc: F[C]): (F[(A, (B, C))], F[((A, B), C)])

    Definition Classes
    CartesianLaws
  15. def clone(): AnyRef

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  16. def covariantComposition[A, B, C](fa: F[A], f: (A) ⇒ B, g: (B) ⇒ C): IsEq[F[C]]

    Definition Classes
    FunctorLaws
  17. def covariantIdentity[A](fa: F[A]): IsEq[F[A]]

    Definition Classes
    FunctorLaws
  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. def invariantComposition[A, B, C](fa: F[A], f1: (A) ⇒ B, f2: (B) ⇒ A, g1: (B) ⇒ C, g2: (C) ⇒ B): IsEq[F[C]]

    Definition Classes
    InvariantLaws
  24. def invariantIdentity[A](fa: F[A]): IsEq[F[A]]

    Definition Classes
    InvariantLaws
  25. final def isInstanceOf[T0]: Boolean

    Definition Classes
    Any
  26. def monoidalLeftIdentity[A](fa: F[A]): (F[(Unit, A)], F[A])

  27. def monoidalRightIdentity[A](fa: F[A]): (F[(A, Unit)], F[A])

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

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

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

    Definition Classes
    AnyRef
  31. final def synchronized[T0](arg0: ⇒ T0): T0

    Definition Classes
    AnyRef
  32. def toString(): String

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

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

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

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

Inherited from ApplyLaws[F]

Inherited from CartesianLaws[F]

Inherited from FunctorLaws[F]

Inherited from InvariantLaws[F]

Inherited from AnyRef

Inherited from Any

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