sealed abstract class Coyoneda[F[_], A] extends AnyRef
The dual view of the Yoneda lemma. Also a free functor on F.
This is isomorphic to F as long as F itself is a functor.
The homomorphism from F[A] to Coyoneda[F,A] exists even when
F is not a functor.
- Self Type
- Coyoneda[F, A]
- Source
- Coyoneda.scala
Linear Supertypes
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- abstract type I
The pivot between
fiandk, usually existential.
Abstract Value Members
Concrete Value Members
- final def !=(arg0: Any): Boolean
- Definition Classes
- AnyRef → Any
- final def ##(): Int
- Definition Classes
- AnyRef → Any
- final def ==(arg0: Any): Boolean
- Definition Classes
- AnyRef → Any
- final def asInstanceOf[T0]: T0
- Definition Classes
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- def clone(): AnyRef
- Attributes
- protected[java.lang]
- Definition Classes
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- Annotations
- @native() @throws(classOf[java.lang.CloneNotSupportedException])
- final def eq(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef
- def equals(arg0: Any): Boolean
- Definition Classes
- AnyRef → Any
- def extend[G[_]](f: ~>[[β$1$]Coyoneda[F, β$1$], G]): Coyoneda[G, A]
Coyonedais a comonad in an endofunctor category - def finalize(): Unit
- Attributes
- protected[java.lang]
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.Throwable])
- def flatMap[G[_]](f: ~>[F, [β$0$]Coyoneda[G, β$0$]]): Coyoneda[G, A]
Coyonedais a monad in an endofunctor category - final def getClass(): Class[_]
- Definition Classes
- AnyRef → Any
- Annotations
- @native()
- def hashCode(): Int
- Definition Classes
- AnyRef → Any
- Annotations
- @native()
- final def isInstanceOf[T0]: Boolean
- Definition Classes
- Any
- final def map[B](f: (A) ⇒ B): Aux[F, B, I]
Simple function composition.
Simple function composition. Allows map fusion without touching the underlying
F. - final def ne(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef
- final def notify(): Unit
- Definition Classes
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- Annotations
- @native()
- final def notifyAll(): Unit
- Definition Classes
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- Annotations
- @native()
- final def run(implicit F: Functor[F]): F[A]
Converts to
F[A]given thatFis a functor - final def synchronized[T0](arg0: ⇒ T0): T0
- Definition Classes
- AnyRef
- def toLan: Lan[Id.Id, F, A]
Coyoneda[F,_]is the left Kan extension ofFalongId - def toString(): String
- Definition Classes
- AnyRef → Any
- final def toYoneda(implicit F: Functor[F]): Yoneda[F, A]
Converts to
Yoneda[F,A]given thatFis a functor - final def trans[G[_]](f: ~>[F, G]): Aux[G, A, I]
- final def unlift(implicit F: Functor[F]): F[A]
Alias for
run.Alias for
run.- Annotations
- @inline()
- 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
- @native() @throws(classOf[java.lang.InterruptedException])