sealed abstract class Leibniz[-L, +H >: L, A >: L <: H, B >: L <: H] extends AnyRef
Leibnizian equality: a better =:=
This technique was first used in Typing Dynamic Typing (Baars and Swierstra, ICFP 2002).
It is generalized here to handle subtyping so that it can be used with constrained type constructors.
Leibniz[L,H,A,B] says that A = B, and that both of its types are between L and H. Subtyping lets you
loosen the bounds on L and H.
If you just need a witness that A = B, then you can use A===B which is a supertype of any Leibniz[L,H,A,B]
The more refined types are useful if you need to be able to substitute into restricted contexts.
- Source
- Leibniz.scala
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Abstract Value Members
- abstract def subst[F[_ >: L <: H]](p: F[A]): F[B]
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
- def andThen[L2 <: L, H2 >: H, C >: L2 <: H2](that: Leibniz[L2, H2, B, C]): Leibniz[L2, H2, A, C]
- def apply(a: A): B
- final def asInstanceOf[T0]: T0
- Definition Classes
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- def clone(): AnyRef
- Attributes
- protected[lang]
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.CloneNotSupportedException]) @native()
- def compose[L2 <: L, H2 >: H, C >: L2 <: H2](that: Leibniz[L2, H2, C, A]): Leibniz[L2, H2, C, B]
- final def eq(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef
- def equals(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef → Any
- def finalize(): Unit
- Attributes
- protected[lang]
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.Throwable])
- def flip: Leibniz[L, H, B, A]
- final def getClass(): Class[_ <: AnyRef]
- Definition Classes
- AnyRef → Any
- Annotations
- @native()
- def hashCode(): Int
- Definition Classes
- AnyRef → Any
- Annotations
- @native()
- final def isInstanceOf[T0]: Boolean
- Definition Classes
- Any
- def liskov: Liskov[A, B]
A === BimpliesA <~< B. - final def ne(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef
- final def notify(): Unit
- Definition Classes
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- @native()
- final def notifyAll(): Unit
- Definition Classes
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- @native()
- def onContra[FA](fa: FA)(implicit U: AuxA[Contravariant, FA, A]): (U)#M[B]
- def onCov[FA](fa: FA)(implicit U: AuxA[Functor, FA, A]): (U)#M[B]
- def onF[X](fa: (X) => A): (X) => B
- final def synchronized[T0](arg0: => T0): T0
- Definition Classes
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- def toString(): String
- Definition Classes
- AnyRef → Any
- final def wait(): Unit
- Definition Classes
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- @throws(classOf[java.lang.InterruptedException])
- final def wait(arg0: Long, arg1: Int): Unit
- Definition Classes
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- @throws(classOf[java.lang.InterruptedException])
- final def wait(arg0: Long): Unit
- Definition Classes
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- @throws(classOf[java.lang.InterruptedException]) @native()