ArrowChoiceLaws

Abstract Value Members

implicit abstract def F: ArrowChoice[F]

Definition Classes
ArrowChoiceLaws → ChoiceLaws → ArrowLaws → StrongLaws → ProfunctorLaws → CategoryLaws → ComposeLaws
implicit abstract def Function: ArrowChoice[Function1]

Concrete Value Members

final def !=(arg0: Any): Boolean

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

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

Definition Classes
AnyRef → Any
def arrowAssociation[A, B, C, D](f: F[A, B]): IsEq[F[((A, C), D), (B, (C, D))]]

Definition Classes
ArrowLaws
def arrowComposition[A, B, C](f: (A) ⇒ B, g: (B) ⇒ C): IsEq[F[A, C]]

Definition Classes
ArrowLaws
def arrowExchange[A, B, C, D](f: F[A, B], g: (C) ⇒ D): IsEq[F[(A, C), (B, D)]]

Definition Classes
ArrowLaws
def arrowExtension[A, B, C](g: (A) ⇒ B): IsEq[F[(A, C), (B, C)]]

Definition Classes
ArrowLaws
def arrowFunctor[A, B, C, D](f: F[A, B], g: F[B, C]): IsEq[F[(A, D), (C, D)]]

Definition Classes
ArrowLaws
def arrowIdentity[A]: IsEq[F[A, A]]

Definition Classes
ArrowLaws
def arrowUnit[A, B, C](f: F[A, B]): IsEq[F[(A, C), B]]

Definition Classes
ArrowLaws
final def asInstanceOf[T0]: T0

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

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

Definition Classes
CategoryLaws
def choiceCompositionDistributivity[A, B, C, D](fac: F[A, C], fbc: F[B, C], fcd: F[C, D]): IsEq[F[Either[A, B], D]]

Definition Classes
ChoiceLaws
def clone(): AnyRef

Attributes
protected[java.lang]
Definition Classes
AnyRef
Annotations
@throws( ... )
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
final def eq(arg0: AnyRef): Boolean

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

Definition Classes
AnyRef → Any
def finalize(): Unit

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

Definition Classes
AnyRef → Any
def hashCode(): Int

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

Definition Classes
Any
def leftAndThenLiftedLeftApplyCommutes[A, B, C](f: F[A, B]): IsEq[F[A, Either[B, C]]]
def leftAndThenRightIdentityCommutes[A, B, C, D](f: F[A, B], g: (C) ⇒ D): IsEq[F[Either[A, C], Either[B, D]]]
def leftComposeCommute[A, B, C, D](f: F[A, B], g: F[B, C]): IsEq[F[Either[A, D], Either[C, D]]]
def leftLiftCommute[A, B, C](f: (A) ⇒ B): IsEq[F[Either[A, C], Either[B, C]]]
def leftRightConsistent[A, B, C](f: (A) ⇒ B): IsEq[F[Either[C, A], Either[C, B]]]
def leftTwiceCommutesWithSumAssociation[A, B, C, D](f: F[A, D]): IsEq[F[Either[Either[A, B], C], Either[D, Either[B, C]]]]
def mergeConsistentWithAndThen[A, B, C](f: F[A, B], g: F[A, C]): IsEq[F[A, (B, C)]]

Definition Classes
ArrowLaws
final def ne(arg0: AnyRef): Boolean

Definition Classes
AnyRef
final def notify(): Unit

Definition Classes
AnyRef
final def notifyAll(): Unit

Definition Classes
AnyRef
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
def profunctorIdentity[A, B](fab: F[A, B]): IsEq[F[A, B]]

Definition Classes
ProfunctorLaws
def profunctorLmapComposition[A2, A1, A0, B](fab: F[A0, B], f: (A2) ⇒ A1, g: (A1) ⇒ A0): IsEq[F[A2, B]]

Definition Classes
ProfunctorLaws
def profunctorLmapIdentity[A, B](fab: F[A, B]): IsEq[F[A, B]]

Definition Classes
ProfunctorLaws
def profunctorRmapComposition[A, B2, B1, B0](fab: F[A, B0], f: (B0) ⇒ B1, g: (B1) ⇒ B2): IsEq[F[A, B2]]

Definition Classes
ProfunctorLaws
def profunctorRmapIdentity[A, B](fab: F[A, B]): IsEq[F[A, B]]

Definition Classes
ProfunctorLaws
def splitConsistentWithAndThen[A, B, C, D](f: F[A, B], g: F[C, D]): IsEq[F[(A, C), (B, D)]]

Definition Classes
ArrowLaws
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
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
def sumAssoc[A, B, C](e: Either[Either[A, B], C]): Either[A, Either[B, C]]
final def synchronized[T0](arg0: ⇒ T0): T0

Definition Classes
AnyRef
def toString(): String

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

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

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

Definition Classes
AnyRef
Annotations
@throws( ... )

Related Docs: object ArrowChoiceLaws | package laws

trait ArrowChoiceLaws[F[_, _]] extends ArrowLaws[F] with ChoiceLaws[F]

Abstract Value Members

implicit abstract def F: ArrowChoice[F]

implicit abstract def Function: ArrowChoice[Function1]

Concrete Value Members

final def !=(arg0: Any): Boolean

final def ##(): Int

final def ==(arg0: Any): Boolean

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

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

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

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

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

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

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

final def asInstanceOf[T0]: T0

def categoryLeftIdentity[A, B](f: F[A, B]): IsEq[F[A, B]]

def categoryRightIdentity[A, B](f: F[A, B]): IsEq[F[A, B]]

def choiceCompositionDistributivity[A, B, C, D](fac: F[A, C], fbc: F[B, C], fcd: F[C, D]): IsEq[F[Either[A, B], D]]

def clone(): AnyRef

def composeAssociativity[A, B, C, D](fab: F[A, B], fbc: F[B, C], fcd: F[C, D]): IsEq[F[A, D]]

final def eq(arg0: AnyRef): Boolean

def equals(arg0: Any): Boolean

def finalize(): Unit

final def getClass(): Class[_]

def hashCode(): Int

final def isInstanceOf[T0]: Boolean

def leftAndThenLiftedLeftApplyCommutes[A, B, C](f: F[A, B]): IsEq[F[A, Either[B, C]]]

def leftAndThenRightIdentityCommutes[A, B, C, D](f: F[A, B], g: (C) ⇒ D): IsEq[F[Either[A, C], Either[B, D]]]

def leftComposeCommute[A, B, C, D](f: F[A, B], g: F[B, C]): IsEq[F[Either[A, D], Either[C, D]]]

def leftLiftCommute[A, B, C](f: (A) ⇒ B): IsEq[F[Either[A, C], Either[B, C]]]

def leftRightConsistent[A, B, C](f: (A) ⇒ B): IsEq[F[Either[C, A], Either[C, B]]]

def leftTwiceCommutesWithSumAssociation[A, B, C, D](f: F[A, D]): IsEq[F[Either[Either[A, B], C], Either[D, Either[B, C]]]]

def mergeConsistentWithAndThen[A, B, C](f: F[A, B], g: F[A, C]): IsEq[F[A, (B, C)]]

final def ne(arg0: AnyRef): Boolean

final def notify(): Unit

final def notifyAll(): Unit

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]]

def profunctorIdentity[A, B](fab: F[A, B]): IsEq[F[A, B]]

def profunctorLmapComposition[A2, A1, A0, B](fab: F[A0, B], f: (A2) ⇒ A1, g: (A1) ⇒ A0): IsEq[F[A2, B]]

def profunctorLmapIdentity[A, B](fab: F[A, B]): IsEq[F[A, B]]

def profunctorRmapComposition[A, B2, B1, B0](fab: F[A, B0], f: (B0) ⇒ B1, g: (B1) ⇒ B2): IsEq[F[A, B2]]

def profunctorRmapIdentity[A, B](fab: F[A, B]): IsEq[F[A, B]]

def splitConsistentWithAndThen[A, B, C, D](f: F[A, B], g: F[C, D]): IsEq[F[(A, C), (B, D)]]

def strongFirstDistributivity[A0, A1, B1, B2, C](fab: F[A1, B1], f: (A0) ⇒ A1, g: (B1) ⇒ B2): IsEq[F[(A0, C), (B2, C)]]

def strongSecondDistributivity[A0, A1, B1, B2, C](fab: F[A1, B1], f: (A0) ⇒ A1, g: (B1) ⇒ B2): IsEq[F[(C, A0), (C, B2)]]

def sumAssoc[A, B, C](e: Either[Either[A, B], C]): Either[A, Either[B, C]]

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

def toString(): String

final def wait(): Unit

final def wait(arg0: Long, arg1: Int): Unit

final def wait(arg0: Long): Unit

Inherited from ChoiceLaws[F]

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