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scalaz

# IsomorphismCobind 

#### trait IsomorphismCobind[F[_], G[_]] extends Cobind[F] with IsomorphismFunctor[F, G]

Source
Isomorphism.scala
Linear Supertypes
Known Subclasses
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2. By Inheritance
Inherited
1. IsomorphismCobind
2. IsomorphismFunctor
3. Cobind
4. Functor
5. InvariantFunctor
6. AnyRef
7. Any
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Visibility
1. Public
2. All

### Type Members

1. trait CobindLaws extends AnyRef
Definition Classes
Cobind
2. trait FunctorLaw extends InvariantFunctorLaw
Definition Classes
Functor
3. trait InvariantFunctorLaw extends AnyRef
Definition Classes
InvariantFunctor

### Abstract Value Members

1. implicit abstract def G: Cobind[G]
Definition Classes
IsomorphismCobindIsomorphismFunctor
2. abstract def iso: Isomorphism.<~>[F, G]
Definition Classes
IsomorphismFunctor

### Concrete Value Members

1. final def !=(arg0: Any)
Definition Classes
AnyRef → Any
2. final def ##(): Int
Definition Classes
AnyRef → Any
3. final def ==(arg0: Any)
Definition Classes
AnyRef → Any
4. def apply[A, B](fa: F[A])(f: (A) ⇒ B): F[B]

Alias for `map`.

Alias for `map`.

Definition Classes
Functor
5. final def asInstanceOf[T0]: T0
Definition Classes
Any
6. def bicompose[G[_, _]](implicit arg0: Bifunctor[G]): Bifunctor[[α, β]F[G[α, β]]]

The composition of Functor `F` and Bifunctor `G`, `[x, y]F[G[x, y]]`, is a Bifunctor

The composition of Functor `F` and Bifunctor `G`, `[x, y]F[G[x, y]]`, is a Bifunctor

Definition Classes
Functor
7. def clone()
Attributes
protected[lang]
Definition Classes
AnyRef
Annotations
@throws( ... ) @native()
8. def cobind[A, B](fa: F[A])(f: (F[A]) ⇒ B): F[B]

Also know as `extend`

Also know as `extend`

Definition Classes
IsomorphismCobindCobind
9. def cobindLaw
Definition Classes
Cobind
10. val cobindSyntax: CobindSyntax[F]
Definition Classes
Cobind
11. def cojoin[A](a: F[A]): F[F[A]]

Also known as `duplicate`

Also known as `duplicate`

Definition Classes
IsomorphismCobindCobind
12. def compose[G[_]](implicit G0: Functor[G]): Functor[[α]F[G[α]]]

The composition of Functors `F` and `G`, `[x]F[G[x]]`, is a Functor

The composition of Functors `F` and `G`, `[x]F[G[x]]`, is a Functor

Definition Classes
Functor
13. def counzip[A, B](a: \/[F[A], F[B]]): F[\/[A, B]]
Definition Classes
Functor
14. final def eq(arg0: AnyRef)
Definition Classes
AnyRef
15. def equals(arg0: Any)
Definition Classes
AnyRef → Any
16. final def extend[A, B](fa: F[A])(f: (F[A]) ⇒ B): F[B]
Definition Classes
Cobind
17. def finalize(): Unit
Attributes
protected[lang]
Definition Classes
AnyRef
Annotations
@throws( classOf[java.lang.Throwable] )
18. def fpair[A](fa: F[A]): F[(A, A)]

Twin all `A`s in `fa`.

Twin all `A`s in `fa`.

Definition Classes
Functor
19. def fproduct[A, B](fa: F[A])(f: (A) ⇒ B): F[(A, B)]

Pair all `A`s in `fa` with the result of function application.

Pair all `A`s in `fa` with the result of function application.

Definition Classes
Functor
20. def functorLaw
Definition Classes
Functor
21. val functorSyntax: FunctorSyntax[F]
Definition Classes
Functor
22. final def getClass(): Class[_]
Definition Classes
AnyRef → Any
Annotations
@native()
23. def hashCode(): Int
Definition Classes
AnyRef → Any
Annotations
@native()
24. def icompose[G[_]](implicit G0: Contravariant[G]): Contravariant[[α]F[G[α]]]

The composition of Functor F and Contravariant G, `[x]F[G[x]]`, is contravariant.

The composition of Functor F and Contravariant G, `[x]F[G[x]]`, is contravariant.

Definition Classes
Functor
25. def invariantFunctorLaw
Definition Classes
InvariantFunctor
26. val invariantFunctorSyntax
Definition Classes
InvariantFunctor
27. final def isInstanceOf[T0]
Definition Classes
Any
28. def lift[A, B](f: (A) ⇒ B): (F[A]) ⇒ F[B]

Lift `f` into `F`.

Lift `f` into `F`.

Definition Classes
Functor
29. def map[A, B](fa: F[A])(f: (A) ⇒ B): F[B]

Lift `f` into `F` and apply to `F[A]`.

Lift `f` into `F` and apply to `F[A]`.

Definition Classes
IsomorphismFunctorFunctor
30. def mapply[A, B](a: A)(f: F[(A) ⇒ B]): F[B]

Lift `apply(a)`, and apply the result to `f`.

Lift `apply(a)`, and apply the result to `f`.

Definition Classes
Functor
31. final def ne(arg0: AnyRef)
Definition Classes
AnyRef
32. final def notify(): Unit
Definition Classes
AnyRef
Annotations
@native()
33. final def notifyAll(): Unit
Definition Classes
AnyRef
Annotations
@native()
34. def product[G[_]](implicit G0: Functor[G]): Functor[[α](F[α], G[α])]

The product of Functors `F` and `G`, `[x](F[x], G[x]])`, is a Functor

The product of Functors `F` and `G`, `[x](F[x], G[x]])`, is a Functor

Definition Classes
Functor
35. def strengthL[A, B](a: A, f: F[B]): F[(A, B)]

Inject `a` to the left of `B`s in `f`.

Inject `a` to the left of `B`s in `f`.

Definition Classes
Functor
36. def strengthR[A, B](f: F[A], b: B): F[(A, B)]

Inject `b` to the right of `A`s in `f`.

Inject `b` to the right of `A`s in `f`.

Definition Classes
Functor
37. final def synchronized[T0](arg0: ⇒ T0): T0
Definition Classes
AnyRef
38. def toString()
Definition Classes
AnyRef → Any
39. def void[A](fa: F[A]): F[Unit]

Empty `fa` of meaningful pure values, preserving its structure.

Empty `fa` of meaningful pure values, preserving its structure.

Definition Classes
Functor
40. final def wait(): Unit
Definition Classes
AnyRef
Annotations
@throws( ... )
41. final def wait(arg0: Long, arg1: Int): Unit
Definition Classes
AnyRef
Annotations
@throws( ... )
42. final def wait(arg0: Long): Unit
Definition Classes
AnyRef
Annotations
@throws( ... ) @native()
43. def widen[A, B](fa: F[A])(implicit ev: <~<[A, B]): F[B]

Functors are covariant by nature, so we can treat an `F[A]` as an `F[B]` if `A` is a subtype of `B`.

Functors are covariant by nature, so we can treat an `F[A]` as an `F[B]` if `A` is a subtype of `B`.

Definition Classes
Functor
44. def xmap[A, B](fa: F[A], f: (A) ⇒ B, g: (B) ⇒ A): F[B]

Converts `ma` to a value of type `F[B]` using the provided functions `f` and `g`.

Converts `ma` to a value of type `F[B]` using the provided functions `f` and `g`.

Definition Classes
FunctorInvariantFunctor
45. def xmapb[A, B](ma: F[A])(b: Bijection[A, B]): F[B]

Converts `ma` to a value of type `F[B]` using the provided bijection.

Converts `ma` to a value of type `F[B]` using the provided bijection.

Definition Classes
InvariantFunctor
46. def xmapi[A, B](ma: F[A])(iso: Isomorphism.<=>[A, B]): F[B]

Converts `ma` to a value of type `F[B]` using the provided isomorphism.

Converts `ma` to a value of type `F[B]` using the provided isomorphism.

Definition Classes
InvariantFunctor