trait ApplicativeLaw extends ApplyLaw
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final
def
!=(arg0: Any): Boolean
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##(): Int
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def
composite[A, B, C](fa: F[A], f1: (A) ⇒ B, f2: (B) ⇒ C)(implicit FC: Equal[F[C]]): Boolean
A series of maps may be freely rewritten as a single map on a composed function.
A series of maps may be freely rewritten as a single map on a composed function.
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- FunctorLaw
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def
composition[A, B, C](fbc: F[(B) ⇒ C], fab: F[(A) ⇒ B], fa: F[A])(implicit FC: Equal[F[C]]): Boolean
Lifted functions can be fused.
Lifted functions can be fused.
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- ApplyLaw
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final
def
eq(arg0: AnyRef): Boolean
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equals(arg0: Any): Boolean
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hashCode(): Int
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def
homomorphism[A, B](ab: (A) ⇒ B, a: A)(implicit FB: Equal[F[B]]): Boolean
point
distributes over function applications. -
def
identity[A](fa: F[A])(implicit FA: Equal[F[A]]): Boolean
The identity function, lifted, is a no-op.
The identity function, lifted, is a no-op.
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- FunctorLaw
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def
identityAp[A](fa: F[A])(implicit FA: Equal[F[A]]): Boolean
point(identity)
is a no-op. -
def
interchange[A, B](f: F[(A) ⇒ B], a: A)(implicit FB: Equal[F[B]]): Boolean
point
is a left and right identity, F-wise. -
def
invariantComposite[A, B, C](fa: F[A], f1: (A) ⇒ B, g1: (B) ⇒ A, f2: (B) ⇒ C, g2: (C) ⇒ B)(implicit FC: Equal[F[C]]): Boolean
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def
invariantIdentity[A](fa: F[A])(implicit FA: Equal[F[A]]): Boolean
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final
def
isInstanceOf[T0]: Boolean
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def
mapLikeDerived[A, B](f: (A) ⇒ B, fa: F[A])(implicit FB: Equal[F[B]]): Boolean
map
is like the one derived frompoint
andap
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ne(arg0: AnyRef): Boolean
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notify(): Unit
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notifyAll(): Unit
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synchronized[T0](arg0: ⇒ T0): T0
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