trait ApplicativeLaws[F[_]] extends ApplyLaws[F]
Laws that must be obeyed by any Applicative.
- Source
- ApplicativeLaws.scala
Linear Supertypes
Known Subclasses
Type Hierarchy
Ordering
- Alphabetic
- By Inheritance
Inherited
- ApplicativeLaws
- ApplyLaws
- SemigroupalLaws
- FunctorLaws
- InvariantLaws
- AnyRef
- Any
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Visibility
- Public
- Protected
Abstract Value Members
- implicit abstract def F: Applicative[F]
- Definition Classes
- ApplicativeLaws → ApplyLaws → SemigroupalLaws → FunctorLaws → InvariantLaws
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 apProductConsistent[A, B](fa: F[A], f: F[(A) => B]): IsEq[F[B]]
- 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. - def applicativeHomomorphism[A, B](a: A, f: (A) => B): IsEq[F[B]]
- def applicativeIdentity[A](fa: F[A]): IsEq[F[A]]
- def applicativeInterchange[A, B](a: A, ff: F[(A) => B]): IsEq[F[B]]
- def applicativeMap[A, B](fa: F[A], f: (A) => B): IsEq[F[B]]
- def applicativeUnit[A](a: A): IsEq[F[A]]
- def applyComposition[A, B, C](fa: F[A], fab: F[(A) => B], fbc: F[(B) => C]): IsEq[F[C]]
- Definition Classes
- ApplyLaws
- final def asInstanceOf[T0]: T0
- Definition Classes
- Any
- def clone(): AnyRef
- Attributes
- protected[lang]
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.CloneNotSupportedException]) @native()
- def covariantComposition[A, B, C](fa: F[A], f: (A) => B, g: (B) => C): IsEq[F[C]]
- Definition Classes
- FunctorLaws
- def covariantIdentity[A](fa: F[A]): IsEq[F[A]]
- Definition Classes
- FunctorLaws
- final def eq(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef
- def equals(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef → Any
- def finalize(): Unit
- Attributes
- protected[lang]
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.Throwable])
- final def getClass(): Class[_ <: AnyRef]
- Definition Classes
- AnyRef → Any
- Annotations
- @native()
- def hashCode(): Int
- Definition Classes
- AnyRef → Any
- Annotations
- @native()
- 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
- def invariantIdentity[A](fa: F[A]): IsEq[F[A]]
- Definition Classes
- InvariantLaws
- final def isInstanceOf[T0]: Boolean
- Definition Classes
- Any
- def map2EvalConsistency[A, B, C](fa: F[A], fb: F[B], f: (A, B) => C): IsEq[F[C]]
- Definition Classes
- ApplyLaws
- def map2ProductConsistency[A, B, C](fa: F[A], fb: F[B], f: (A, B) => C): IsEq[F[C]]
- Definition Classes
- ApplyLaws
- def monoidalLeftIdentity[A](fa: F[A]): (F[(Unit, A)], F[A])
- def monoidalRightIdentity[A](fa: F[A]): (F[(A, Unit)], F[A])
- final def ne(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef
- final def notify(): Unit
- Definition Classes
- AnyRef
- Annotations
- @native()
- final def notifyAll(): Unit
- Definition Classes
- AnyRef
- Annotations
- @native()
- def productLConsistency[A, B](fa: F[A], fb: F[B]): IsEq[F[A]]
- Definition Classes
- ApplyLaws
- def productRConsistency[A, B](fa: F[A], fb: F[B]): IsEq[F[B]]
- Definition Classes
- ApplyLaws
- def replicateAVoidReplicateA_Consistent[A](n: Int, fa: F[A]): IsEq[F[Unit]]
- def semigroupalAssociativity[A, B, C](fa: F[A], fb: F[B], fc: F[C]): (F[(A, (B, C))], F[((A, B), C)])
- Definition Classes
- SemigroupalLaws
- 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(classOf[java.lang.InterruptedException])
- final def wait(arg0: Long, arg1: Int): Unit
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.InterruptedException])
- final def wait(arg0: Long): Unit
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.InterruptedException]) @native()