sealed abstract class Isomorphisms extends AnyRef
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Type Members
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type
<=>[A, B] = Iso[Function1, A, B]
Alias for IsoSet
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type
<~>[F[_], G[_]] = Iso2[NaturalTransformation, F, G]
Alias for IsoFunctor
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type
<~~>[F[_, _], G[_, _]] = Iso3[~~>, F, G]
Alias for IsoBifunctor
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trait
Iso[Arr[_, _], A, B] extends AnyRef
Isomorphism for arrows of kind * -> * -> *
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trait
Iso2[Arr[_[_], _[_]], F[_], G[_]] extends AnyRef
Isomorphism for arrows of kind (* -> *) -> (* -> *) -> *
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trait
Iso3[Arr[_[_, _], _[_, _]], F[_, _], G[_, _]] extends AnyRef
Isomorphism for arrows of kind (* -> * -> *) -> (* -> * -> *) -> *
- type IsoBifunctor[F[_, _], G[_, _]] = Iso3[~~>, F, G]
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trait
IsoBifunctorTemplate[F[_, _], G[_, _]] extends IsoBifunctor[F, G]
Convenience template trait to implement
<~~> -
type
IsoFunctor[F[_], G[_]] = Iso2[NaturalTransformation, F, G]
Natural isomorphism between functors
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trait
IsoFunctorTemplate[F[_], G[_]] extends IsoFunctor[F, G]
Convenience template trait to implement
<~> -
type
IsoSet[A, B] = Iso[Function1, A, B]
Set isomorphism
Value Members
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final
def
!=(arg0: Any): Boolean
- Definition Classes
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final
def
##(): Int
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final
def
==(arg0: Any): Boolean
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final
def
asInstanceOf[T0]: T0
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def
clone(): AnyRef
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- protected[java.lang]
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- @native() @throws( ... )
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def
commutative[A, B](i: <=>[A, B]): <=>[B, A]
Set isomorphism is commutative
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final
def
eq(arg0: AnyRef): Boolean
- Definition Classes
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def
equals(arg0: Any): Boolean
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def
finalize(): Unit
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- @throws( classOf[java.lang.Throwable] )
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final
def
getClass(): Class[_]
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- @native()
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def
hashCode(): Int
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final
def
isInstanceOf[T0]: Boolean
- Definition Classes
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def
naturalCommutative[F[_], G[_]](i: <~>[F, G]): <~>[G, F]
Natural isomorphism is commutative
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def
naturalRefl[F[_]]: <~>[F, F]
Natural isomorphism is reflexive
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final
def
ne(arg0: AnyRef): Boolean
- Definition Classes
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final
def
notify(): Unit
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- @native()
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final
def
notifyAll(): Unit
- Definition Classes
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- @native()
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def
refl[A]: <=>[A, A]
Set isomorphism is reflexive
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final
def
synchronized[T0](arg0: ⇒ T0): T0
- Definition Classes
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def
toString(): String
- Definition Classes
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final
def
wait(): Unit
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- @throws( ... )
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final
def
wait(arg0: Long, arg1: Int): Unit
- Definition Classes
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final
def
wait(arg0: Long): Unit
- Definition Classes
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- @native() @throws( ... )
- object IsoFunctor
- object IsoSet