Class/Object

cats.free

Yoneda

Related Docs: object Yoneda | package free

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abstract class Yoneda[F[_], A] extends Serializable

The free functor generated by F. The Yoneda lemma says that Yoneda[F,A] is isomorphic to F[A] for any functor F. The homomorphism from Yoneda[F,A] to F[A] exists even when we have forgotten that F is a functor. Can be seen as a partially applied map for the functor F.

Self Type
Yoneda[F, A]
Linear Supertypes
Serializable, Serializable, AnyRef, Any
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  1. Yoneda
  2. Serializable
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Visibility
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Instance Constructors

  1. new Yoneda()

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Abstract Value Members

  1. abstract def apply[B](f: (A) ⇒ B): F[B]

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Concrete Value Members

  1. final def !=(arg0: Any): Boolean

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    Definition Classes
    AnyRef → Any
  2. final def ##(): Int

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    Definition Classes
    AnyRef → Any
  3. final def ==(arg0: Any): Boolean

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    Definition Classes
    AnyRef → Any
  4. final def asInstanceOf[T0]: T0

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    Definition Classes
    Any
  5. def clone(): AnyRef

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    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  6. final def eq(arg0: AnyRef): Boolean

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    Definition Classes
    AnyRef
  7. def equals(arg0: Any): Boolean

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    Definition Classes
    AnyRef → Any
  8. def finalize(): Unit

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    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  9. final def getClass(): Class[_]

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    Definition Classes
    AnyRef → Any
  10. def hashCode(): Int

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    Definition Classes
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  11. final def isInstanceOf[T0]: Boolean

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    Definition Classes
    Any
  12. def map[B](f: (A) ⇒ B): Yoneda[F, B]

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    Simple function composition.

    Simple function composition. Allows map fusion without traversing an F.

  13. final def ne(arg0: AnyRef): Boolean

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    Definition Classes
    AnyRef
  14. final def notify(): Unit

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    Definition Classes
    AnyRef
  15. final def notifyAll(): Unit

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    Definition Classes
    AnyRef
  16. def run: F[A]

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    Converts to F[A] even without a Functor instance for F.

  17. final def synchronized[T0](arg0: ⇒ T0): T0

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    Definition Classes
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  18. def toCoyoneda: Aux[F, A, A]

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    Converts to Coyoneda[F,A] even without a Functor instance for F.

  19. def toString(): String

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    Definition Classes
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  20. final def wait(): Unit

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    Annotations
    @throws( ... )
  21. final def wait(arg0: Long, arg1: Int): Unit

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    @throws( ... )
  22. final def wait(arg0: Long): Unit

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    Definition Classes
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Inherited from Serializable

Inherited from Serializable

Inherited from AnyRef

Inherited from Any

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