object Isomorphism extends Isomorphisms
- Source
- Isomorphism.scala
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- Isomorphism
- Isomorphisms
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Type Members
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type
<=>[A, B] = Iso[Function1, A, B]
Alias for IsoSet
Alias for IsoSet
- Definition Classes
- Isomorphisms
-
type
<~>[F[_], G[_]] = Iso2[NaturalTransformation, F, G]
Alias for IsoFunctor
Alias for IsoFunctor
- Definition Classes
- Isomorphisms
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type
<~~>[F[_, _], G[_, _]] = Iso3[~~>, F, G]
Alias for IsoBifunctor
Alias for IsoBifunctor
- Definition Classes
- Isomorphisms
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type
IsoBifunctor[F[_, _], G[_, _]] = Iso3[~~>, F, G]
- Definition Classes
- Isomorphisms
-
type
IsoFunctor[F[_], G[_]] = Iso2[NaturalTransformation, F, G]
Natural isomorphism between functors
Natural isomorphism between functors
- Definition Classes
- Isomorphisms
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type
IsoSet[A, B] = Iso[Function1, A, B]
Set isomorphism
Set isomorphism
- Definition Classes
- Isomorphisms
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trait
Iso
[Arr[_, _], A, B] extends AnyRef
Isomorphism for arrows of kind * -> * -> *
Isomorphism for arrows of kind * -> * -> *
- Definition Classes
- Isomorphisms
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trait
Iso2
[Arr[_[_], _[_]], F[_], G[_]] extends AnyRef
Isomorphism for arrows of kind (* -> *) -> (* -> *) -> *
Isomorphism for arrows of kind (* -> *) -> (* -> *) -> *
- Definition Classes
- Isomorphisms
-
trait
Iso3
[Arr[_[_, _], _[_, _]], F[_, _], G[_, _]] extends AnyRef
Isomorphism for arrows of kind (* -> * -> *) -> (* -> * -> *) -> *
Isomorphism for arrows of kind (* -> * -> *) -> (* -> * -> *) -> *
- Definition Classes
- Isomorphisms
-
trait
IsoBifunctorTemplate
[F[_, _], G[_, _]] extends IsoBifunctor[F, G]
Convenience template trait to implement
<~~>Convenience template trait to implement
<~~>- Definition Classes
- Isomorphisms
-
trait
IsoFunctorTemplate
[F[_], G[_]] extends IsoFunctor[F, G]
Convenience template trait to implement
<~>Convenience template trait to implement
<~>- Definition Classes
- Isomorphisms
Value Members
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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
- Definition Classes
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def
clone(): AnyRef
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- protected[java.lang]
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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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- protected[java.lang]
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final
def
getClass(): Class[_]
- Definition Classes
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def
hashCode(): Int
- Definition Classes
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final
def
isInstanceOf[T0]: Boolean
- Definition Classes
- Any
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implicit
def
isoCommutative[A, B](implicit i: <=>[A, B]): <=>[B, A]
Set isomorphism is commutative
Set isomorphism is commutative
- Definition Classes
- IsomorphismsLow1
-
implicit
def
isoNaturalCommutative[F[_], G[_]](implicit i: <~>[F, G]): <~>[G, F]
Natural isomorphism is commutative
Natural isomorphism is commutative
- Definition Classes
- IsomorphismsLow1
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implicit
def
isoNaturalRefl[F[_]]: <~>[F, F]
Natural isomorphism is reflexive
Natural isomorphism is reflexive
- Definition Classes
- IsomorphismsLow0
-
implicit
def
isoRefl[A]: <=>[A, A]
Set isomorphism is reflexive
Set isomorphism is reflexive
- Definition Classes
- IsomorphismsLow0
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final
def
ne(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef
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final
def
notify(): Unit
- Definition Classes
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final
def
notifyAll(): Unit
- Definition Classes
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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
- Definition Classes
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- @throws( ... )
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final
def
wait(arg0: Long, arg1: Int): Unit
- Definition Classes
- AnyRef
- Annotations
- @throws( ... )
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final
def
wait(arg0: Long): Unit
- Definition Classes
- AnyRef
- Annotations
- @throws( ... )
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object
IsoFunctor
- Definition Classes
- Isomorphisms
-
object
IsoSet
- Definition Classes
- Isomorphisms