IsomorphismCovariantDerives

implicit abstract def G: CovariantDerives[G]

abstract def iso: Isomorphism.<~>[F, G]

final def !=(arg0: Any): Boolean

final def ##(): Int

final def ==(arg0: Any): Boolean

def ap[A, B](fa: ⇒ F[A])(f: ⇒ F[(A) ⇒ B]): F[B]

Sequence f, then fa, combining their results by function application.

def ap2[A, B, C](fa: ⇒ F[A], fb: ⇒ F[B])(f: F[(A, B) ⇒ C]): F[C]

def ap3[A, B, C, D](fa: ⇒ F[A], fb: ⇒ F[B], fc: ⇒ F[C])(f: F[(A, B, C) ⇒ D]): F[D]

def ap4[A, B, C, D, E](fa: ⇒ F[A], fb: ⇒ F[B], fc: ⇒ F[C], fd: ⇒ F[D])(f: F[(A, B, C, D) ⇒ E]): F[E]

def ap5[A, B, C, D, E, R](fa: ⇒ F[A], fb: ⇒ F[B], fc: ⇒ F[C], fd: ⇒ F[D], fe: ⇒ F[E])(f: F[(A, B, C, D, E) ⇒ R]): F[R]

def ap6[A, B, C, D, E, FF, R](fa: ⇒ F[A], fb: ⇒ F[B], fc: ⇒ F[C], fd: ⇒ F[D], fe: ⇒ F[E], ff: ⇒ F[FF])(f: F[(A, B, C, D, E, FF) ⇒ R]): F[R]

def ap7[A, B, C, D, E, FF, G, R](fa: ⇒ F[A], fb: ⇒ F[B], fc: ⇒ F[C], fd: ⇒ F[D], fe: ⇒ F[E], ff: ⇒ F[FF], fg: ⇒ F[G])(f: F[(A, B, C, D, E, FF, G) ⇒ R]): F[R]

def ap8[A, B, C, D, E, FF, G, H, R](fa: ⇒ F[A], fb: ⇒ F[B], fc: ⇒ F[C], fd: ⇒ F[D], fe: ⇒ F[E], ff: ⇒ F[FF], fg: ⇒ F[G], fh: ⇒ F[H])(f: F[(A, B, C, D, E, FF, G, H) ⇒ R]): F[R]

def apF[A, B](f: ⇒ F[(A) ⇒ B]): (F[A]) ⇒ F[B]

Flipped variant of ap.

val applicativeDivisibleSyntax: ApplicativeDivisibleSyntax[F]

def applicativeLaw: ApplicativeLaw

val applicativeSyntax: ApplicativeSyntax[F]

def apply[A, B](fa: F[A])(f: (A) ⇒ B): F[B]

Alias for map.

def apply10[A, B, C, D, E, FF, G, H, I, J, R](fa: ⇒ F[A], fb: ⇒ F[B], fc: ⇒ F[C], fd: ⇒ F[D], fe: ⇒ F[E], ff: ⇒ F[FF], fg: ⇒ F[G], fh: ⇒ F[H], fi: ⇒ F[I], fj: ⇒ F[J])(f: (A, B, C, D, E, FF, G, H, I, J) ⇒ R): F[R]

def apply11[A, B, C, D, E, FF, G, H, I, J, K, R](fa: ⇒ F[A], fb: ⇒ F[B], fc: ⇒ F[C], fd: ⇒ F[D], fe: ⇒ F[E], ff: ⇒ F[FF], fg: ⇒ F[G], fh: ⇒ F[H], fi: ⇒ F[I], fj: ⇒ F[J], fk: ⇒ F[K])(f: (A, B, C, D, E, FF, G, H, I, J, K) ⇒ R): F[R]

def apply12[A, B, C, D, E, FF, G, H, I, J, K, L, R](fa: ⇒ F[A], fb: ⇒ F[B], fc: ⇒ F[C], fd: ⇒ F[D], fe: ⇒ F[E], ff: ⇒ F[FF], fg: ⇒ F[G], fh: ⇒ F[H], fi: ⇒ F[I], fj: ⇒ F[J], fk: ⇒ F[K], fl: ⇒ F[L])(f: (A, B, C, D, E, FF, G, H, I, J, K, L) ⇒ R): F[R]

def apply2[A, B, C](fa: ⇒ F[A], fb: ⇒ F[B])(f: (A, B) ⇒ C): F[C]

def apply3[A, B, C, D](fa: ⇒ F[A], fb: ⇒ F[B], fc: ⇒ F[C])(f: (A, B, C) ⇒ D): F[D]

def apply4[A, B, C, D, E](fa: ⇒ F[A], fb: ⇒ F[B], fc: ⇒ F[C], fd: ⇒ F[D])(f: (A, B, C, D) ⇒ E): F[E]

def apply5[A, B, C, D, E, R](fa: ⇒ F[A], fb: ⇒ F[B], fc: ⇒ F[C], fd: ⇒ F[D], fe: ⇒ F[E])(f: (A, B, C, D, E) ⇒ R): F[R]

def apply6[A, B, C, D, E, FF, R](fa: ⇒ F[A], fb: ⇒ F[B], fc: ⇒ F[C], fd: ⇒ F[D], fe: ⇒ F[E], ff: ⇒ F[FF])(f: (A, B, C, D, E, FF) ⇒ R): F[R]

def apply7[A, B, C, D, E, FF, G, R](fa: ⇒ F[A], fb: ⇒ F[B], fc: ⇒ F[C], fd: ⇒ F[D], fe: ⇒ F[E], ff: ⇒ F[FF], fg: ⇒ F[G])(f: (A, B, C, D, E, FF, G) ⇒ R): F[R]

def apply8[A, B, C, D, E, FF, G, H, R](fa: ⇒ F[A], fb: ⇒ F[B], fc: ⇒ F[C], fd: ⇒ F[D], fe: ⇒ F[E], ff: ⇒ F[FF], fg: ⇒ F[G], fh: ⇒ F[H])(f: (A, B, C, D, E, FF, G, H) ⇒ R): F[R]

def apply9[A, B, C, D, E, FF, G, H, I, R](fa: ⇒ F[A], fb: ⇒ F[B], fc: ⇒ F[C], fd: ⇒ F[D], fe: ⇒ F[E], ff: ⇒ F[FF], fg: ⇒ F[G], fh: ⇒ F[H], fi: ⇒ F[I])(f: (A, B, C, D, E, FF, G, H, I) ⇒ R): F[R]

def applyApplicative: Applicative[[α]\/[F[α], α]]

Add a unit to any Apply to form an Applicative.

val applyDivideSyntax: ApplyDivideSyntax[F]

def applyLaw: ApplyLaw

val applySyntax: ApplySyntax[F]

final def applying1[Z, A1](f: (A1) ⇒ Z)(implicit a1: F[A1]): F[Z]

final def applying2[Z, A1, A2](f: (A1, A2) ⇒ Z)(implicit a1: F[A1], a2: F[A2]): F[Z]

final def applying3[Z, A1, A2, A3](f: (A1, A2, A3) ⇒ Z)(implicit a1: F[A1], a2: F[A2], a3: F[A3]): F[Z]

final def applying4[Z, A1, A2, A3, A4](f: (A1, A2, A3, A4) ⇒ Z)(implicit a1: F[A1], a2: F[A2], a3: F[A3], a4: F[A4]): F[Z]

final def asInstanceOf[T0]: T0

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

def clone(): AnyRef

val coapplicativeCodivideSyntax: CoapplicativeCodivideSyntax[F]

val coapplicativeSyntax: CoapplicativeSyntax[F]

def coapply1[Z, A1](a1: ⇒ F[A1])(f: (A1) ⇒ Z): F[Z]

def coapply2[Z, A1, A2](a1: ⇒ F[A1], a2: ⇒ F[A2])(f: (\/[A1, A2]) ⇒ Z): F[Z]

def coapply3[Z, A1, A2, A3](a1: ⇒ F[A1], a2: ⇒ F[A2], a3: ⇒ F[A3])(f: (\/[A1, \/[A2, A3]]) ⇒ Z): F[Z]

def coapply4[Z, A1, A2, A3, A4](a1: ⇒ F[A1], a2: ⇒ F[A2], a3: ⇒ F[A3], a4: ⇒ F[A4])(f: (\/[A1, \/[A2, \/[A3, A4]]]) ⇒ Z): F[Z]

final def coapplying1[Z, A1](f: (A1) ⇒ Z)(implicit a1: F[A1]): F[Z]

final def coapplying2[Z, A1, A2](f: (\/[A1, A2]) ⇒ Z)(implicit a1: F[A1], a2: F[A2]): F[Z]

final def coapplying3[Z, A1, A2, A3](f: (\/[A1, \/[A2, A3]]) ⇒ Z)(implicit a1: F[A1], a2: F[A2], a3: F[A3]): F[Z]

final def coapplying4[Z, A1, A2, A3, A4](f: (\/[A1, \/[A2, \/[A3, A4]]]) ⇒ Z)(implicit a1: F[A1], a2: F[A2], a3: F[A3], a4: F[A4]): F[Z]

def compose[G[_]](implicit G0: Applicative[G]): Applicative[[α]F[G[α]]]

The composition of Applicatives F and G, [x]F[G[x]], is an Applicative

def compose[G[_]](implicit G0: Apply[G]): Apply[[α]F[G[α]]]

The composition of Applys F and G, [x]F[G[x]], is a Apply

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

def counzip[A, B](a: \/[F[A], F[B]]): F[\/[A, B]]

val covariantDerivesSyntax: CovariantDerivesSyntax[F]

val derivesSyntax: DerivesSyntax[F]

def discardLeft[A, B](fa: ⇒ F[A], fb: ⇒ F[B]): F[B]

Combine fa and fb according to Apply[F] with a function that discards the A(s)

def discardRight[A, B](fa: ⇒ F[A], fb: ⇒ F[B]): F[A]

Combine fa and fb according to Apply[F] with a function that discards the B(s)

def either2[A1, A2](a1: ⇒ F[A1], a2: ⇒ F[A2]): F[\/[A1, A2]]

final def eq(arg0: AnyRef): Boolean

def equals(arg0: Any): Boolean

def filterM[A](l: IList[A])(f: (A) ⇒ F[Boolean]): F[IList[A]]

Filter l according to an applicative predicate.

def filterM[A](l: List[A])(f: (A) ⇒ F[Boolean]): F[List[A]]

Filter l according to an applicative predicate.

def finalize(): Unit

def flip: Applicative[F]

An Applicative for F in which effects happen in the opposite order.

def forever[A, B](fa: F[A]): F[B]

Repeats an applicative action infinitely

def fpair[A](fa: F[A]): F[(A, A)]

Twin all As in fa.

def fproduct[A, B](fa: F[A])(f: (A) ⇒ B): F[(A, B)]

Pair all As in fa with the result of function application.

def functorLaw: FunctorLaw

val functorSyntax: FunctorSyntax[F]

final def getClass(): Class[_]

def hashCode(): Int

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.

def invariantFunctorLaw: InvariantFunctorLaw

val invariantFunctorSyntax: InvariantFunctorSyntax[F]

final def isInstanceOf[T0]: Boolean

def lift[A, B](f: (A) ⇒ B): (F[A]) ⇒ F[B]

Lift f into F.

def lift10[A, B, C, D, E, FF, G, H, I, J, R](f: (A, B, C, D, E, FF, G, H, I, J) ⇒ R): (F[A], F[B], F[C], F[D], F[E], F[FF], F[G], F[H], F[I], F[J]) ⇒ F[R]

def lift11[A, B, C, D, E, FF, G, H, I, J, K, R](f: (A, B, C, D, E, FF, G, H, I, J, K) ⇒ R): (F[A], F[B], F[C], F[D], F[E], F[FF], F[G], F[H], F[I], F[J], F[K]) ⇒ F[R]

def lift12[A, B, C, D, E, FF, G, H, I, J, K, L, R](f: (A, B, C, D, E, FF, G, H, I, J, K, L) ⇒ R): (F[A], F[B], F[C], F[D], F[E], F[FF], F[G], F[H], F[I], F[J], F[K], F[L]) ⇒ F[R]

def lift2[A, B, C](f: (A, B) ⇒ C): (F[A], F[B]) ⇒ F[C]

def lift3[A, B, C, D](f: (A, B, C) ⇒ D): (F[A], F[B], F[C]) ⇒ F[D]

def lift4[A, B, C, D, E](f: (A, B, C, D) ⇒ E): (F[A], F[B], F[C], F[D]) ⇒ F[E]

def lift5[A, B, C, D, E, R](f: (A, B, C, D, E) ⇒ R): (F[A], F[B], F[C], F[D], F[E]) ⇒ F[R]

def lift6[A, B, C, D, E, FF, R](f: (A, B, C, D, E, FF) ⇒ R): (F[A], F[B], F[C], F[D], F[E], F[FF]) ⇒ F[R]

def lift7[A, B, C, D, E, FF, G, R](f: (A, B, C, D, E, FF, G) ⇒ R): (F[A], F[B], F[C], F[D], F[E], F[FF], F[G]) ⇒ F[R]

def lift8[A, B, C, D, E, FF, G, H, R](f: (A, B, C, D, E, FF, G, H) ⇒ R): (F[A], F[B], F[C], F[D], F[E], F[FF], F[G], F[H]) ⇒ F[R]

def lift9[A, B, C, D, E, FF, G, H, I, R](f: (A, B, C, D, E, FF, G, H, I) ⇒ R): (F[A], F[B], F[C], F[D], F[E], F[FF], F[G], F[H], F[I]) ⇒ F[R]

def liftReducer[A, B](implicit r: Reducer[A, B]): Reducer[F[A], F[B]]

def map[A, B](fa: F[A])(f: (A) ⇒ B): F[B]

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

def mapply[A, B](a: A)(f: F[(A) ⇒ B]): F[B]

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

final def ne(arg0: AnyRef): Boolean

final def notify(): Unit

final def notifyAll(): Unit

def point[A](a: ⇒ A): F[A]

def product[G[_]](implicit G0: Applicative[G]): Applicative[[α](F[α], G[α])]

The product of Applicatives F and G, [x](F[x], G[x]]), is an Applicative

def product[G[_]](implicit G0: Apply[G]): Apply[[α](F[α], G[α])]

The product of Applys F and G, [x](F[x], G[x]]), is a Apply

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

final def pure[A](a: ⇒ A): F[A]

def replicateM[A](n: Int, fa: F[A]): F[IList[A]]

Performs the action n times, returning the list of results.

def replicateM_[A](n: Int, fa: F[A]): F[Unit]

Performs the action n times, returning nothing.

def sequence[A, G[_]](as: G[F[A]])(implicit arg0: Traverse[G]): F[G[A]]

def sequence1[A, G[_]](as: G[F[A]])(implicit arg0: Traverse1[G]): F[G[A]]

def strengthL[A, B](a: A, f: F[B]): F[(A, B)]

Inject a to the left of Bs in f.

def strengthR[A, B](f: F[A], b: B): F[(A, B)]

Inject b to the right of As in f.

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

def toString(): String

def traverse[A, G[_], B](value: G[A])(f: (A) ⇒ F[B])(implicit G: Traverse[G]): F[G[B]]

def traverse1[A, G[_], B](value: G[A])(f: (A) ⇒ F[B])(implicit G: Traverse1[G]): F[G[B]]

def tuple2[A, B](fa: ⇒ F[A], fb: ⇒ F[B]): F[(A, B)]

def tuple3[A, B, C](fa: ⇒ F[A], fb: ⇒ F[B], fc: ⇒ F[C]): F[(A, B, C)]

def tuple4[A, B, C, D](fa: ⇒ F[A], fb: ⇒ F[B], fc: ⇒ F[C], fd: ⇒ F[D]): F[(A, B, C, D)]

def tuple5[A, B, C, D, E](fa: ⇒ F[A], fb: ⇒ F[B], fc: ⇒ F[C], fd: ⇒ F[D], fe: ⇒ F[E]): F[(A, B, C, D, E)]

def unfoldrOpt[S, A, B](seed: S)(f: (S) ⇒ Maybe[(F[A], S)])(implicit R: Reducer[A, B]): Maybe[F[B]]

Unfold seed to the right and combine effects left-to-right, using the given Reducer to combine values.

def unlessM[A](cond: Boolean)(f: ⇒ F[A]): F[Unit]

Returns the given argument if cond is false, otherwise, unit lifted into F.

def void[A](fa: F[A]): F[Unit]

Empty fa of meaningful pure values, preserving its structure.

final def wait(): Unit

final def wait(arg0: Long, arg1: Int): Unit

final def wait(arg0: Long): Unit

def whenM[A](cond: Boolean)(f: ⇒ F[A]): F[Unit]

Returns the given argument if cond is true, otherwise, unit lifted into F.

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.

def xcoderiving1[Z, A1](f: (A1) ⇒ Z, g: (Z) ⇒ A1)(implicit a1: F[A1]): F[Z]

def xcoderiving2[Z, A1, A2](f: (\/[A1, A2]) ⇒ Z, g: (Z) ⇒ \/[A1, A2])(implicit a1: F[A1], a2: F[A2]): F[Z]

def xcoderiving3[Z, A1, A2, A3](f: (\/[A1, \/[A2, A3]]) ⇒ Z, g: (Z) ⇒ \/[A1, \/[A2, A3]])(implicit a1: F[A1], a2: F[A2], a3: F[A3]): F[Z]

def xcoderiving4[Z, A1, A2, A3, A4](f: (\/[A1, \/[A2, \/[A3, A4]]]) ⇒ Z, g: (Z) ⇒ \/[A1, \/[A2, \/[A3, A4]]])(implicit a1: F[A1], a2: F[A2], a3: F[A3], a4: F[A4]): F[Z]

def xcoproduct1[Z, A1](a1: ⇒ F[A1])(f: (A1) ⇒ Z, g: (Z) ⇒ A1): F[Z]

def xcoproduct2[Z, A1, A2](a1: ⇒ F[A1], a2: ⇒ F[A2])(f: (\/[A1, A2]) ⇒ Z, g: (Z) ⇒ \/[A1, A2]): F[Z]

def xcoproduct3[Z, A1, A2, A3](a1: ⇒ F[A1], a2: ⇒ F[A2], a3: ⇒ F[A3])(f: (\/[A1, \/[A2, A3]]) ⇒ Z, g: (Z) ⇒ \/[A1, \/[A2, A3]]): F[Z]

def xcoproduct4[Z, A1, A2, A3, A4](a1: ⇒ F[A1], a2: ⇒ F[A2], a3: ⇒ F[A3], a4: ⇒ F[A4])(f: (\/[A1, \/[A2, \/[A3, A4]]]) ⇒ Z, g: (Z) ⇒ \/[A1, \/[A2, \/[A3, A4]]]): F[Z]

final def xderiving0[Z](z: Z): F[Z]

final def xderiving1[Z, A1](f: (A1) ⇒ Z, g: (Z) ⇒ A1)(implicit a1: F[A1]): F[Z]

final def xderiving2[Z, A1, A2](f: (A1, A2) ⇒ Z, g: (Z) ⇒ (A1, A2))(implicit a1: F[A1], a2: F[A2]): F[Z]

final def xderiving3[Z, A1, A2, A3](f: (A1, A2, A3) ⇒ Z, g: (Z) ⇒ (A1, A2, A3))(implicit a1: F[A1], a2: F[A2], a3: F[A3]): F[Z]

final def xderiving4[Z, A1, A2, A3, A4](f: (A1, A2, A3, A4) ⇒ Z, g: (Z) ⇒ (A1, A2, A3, A4))(implicit a1: F[A1], a2: F[A2], a3: F[A3], a4: F[A4]): F[Z]

def xmap[A, B](ma: 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.

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.

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.

def xproduct0[Z](f: ⇒ Z): F[Z]

def xproduct1[Z, A1](a1: F[A1])(f: (A1) ⇒ Z, g: (Z) ⇒ A1): F[Z]

def xproduct2[Z, A1, A2](a1: ⇒ F[A1], a2: ⇒ F[A2])(f: (A1, A2) ⇒ Z, g: (Z) ⇒ (A1, A2)): F[Z]

def xproduct3[Z, A1, A2, A3](a1: ⇒ F[A1], a2: ⇒ F[A2], a3: ⇒ F[A3])(f: (A1, A2, A3) ⇒ Z, g: (Z) ⇒ (A1, A2, A3)): F[Z]

def xproduct4[Z, A1, A2, A3, A4](a1: ⇒ F[A1], a2: ⇒ F[A2], a3: ⇒ F[A3], a4: ⇒ F[A4])(f: (A1, A2, A3, A4) ⇒ Z, g: (Z) ⇒ (A1, A2, A3, A4)): F[Z]