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