Trait/Object

cats.laws

ApplicativeLaws

Related Docs: object ApplicativeLaws | package laws

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

Laws that must be obeyed by any Applicative.

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Inherited
  1. ApplicativeLaws
  2. ApplyLaws
  3. SemigroupalLaws
  4. FunctorLaws
  5. InvariantLaws
  6. AnyRef
  7. Any
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Abstract Value Members

  1. implicit abstract def F: Applicative[F]

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Concrete Value Members

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

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    Definition Classes
    AnyRef → Any
  2. final def ##(): Int

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

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    Definition Classes
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  4. def apProductConsistent[A, B](fa: F[A], f: F[(A) ⇒ B]): IsEq[F[B]]

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

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    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.

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

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

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

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

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  10. def applicativeUnit[A](a: A): IsEq[F[A]]

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

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

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    Definition Classes
    Any
  13. def clone(): AnyRef

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

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

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    Definition Classes
    FunctorLaws
  16. final def eq(arg0: AnyRef): Boolean

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    Definition Classes
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  17. def equals(arg0: Any): Boolean

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    Definition Classes
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  18. def finalize(): Unit

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

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    Definition Classes
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  20. def hashCode(): Int

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

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

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

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    Definition Classes
    Any
  24. def map2EvalConsistency[A, B, C](fa: F[A], fb: F[B], f: (A, B) ⇒ C): IsEq[F[C]]

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    Definition Classes
    ApplyLaws
  25. def map2ProductConsistency[A, B, C](fa: F[A], fb: F[B], f: (A, B) ⇒ C): IsEq[F[C]]

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

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

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

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

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

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    Definition Classes
    AnyRef
  31. def productLConsistency[A, B](fa: F[A], fb: F[B]): IsEq[F[A]]

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    Definition Classes
    ApplyLaws
  32. def productRConsistency[A, B](fa: F[A], fb: F[B]): IsEq[F[B]]

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    Definition Classes
    ApplyLaws
  33. def semigroupalAssociativity[A, B, C](fa: F[A], fb: F[B], fc: F[C]): (F[(A, (B, C))], F[((A, B), C)])

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    Definition Classes
    SemigroupalLaws
  34. final def synchronized[T0](arg0: ⇒ T0): T0

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    Definition Classes
    AnyRef
  35. def toString(): String

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    Definition Classes
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  36. final def wait(): Unit

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

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

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    Definition Classes
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    Annotations
    @throws( ... )

Inherited from ApplyLaws[F]

Inherited from SemigroupalLaws[F]

Inherited from FunctorLaws[F]

Inherited from InvariantLaws[F]

Inherited from AnyRef

Inherited from Any

Ungrouped