Packages

  • package root
    Definition Classes
    root
  • package typequux
    Definition Classes
    root
  • object Nat

    Contains implementation traits for Nat and typeconstructor aliases that make usage more pleasant.

    Contains implementation traits for Nat and typeconstructor aliases that make usage more pleasant.

    1. Additive commutativity: +[A, B] =:= +[B, A]

    2. Additive associativity: +[A, +[B, C]] =:= +[+[A, B], C]

    3. Additive identity: +[A, _0] =:= A =:= +[_0, A]

    4. Multiplicative commutativity: *[A, B] =:= *[B, A]

    5. Multiplicative associativity: *[A, *[B, C]] =:= *[*[A, B], C]

    6. Multiplicative identity: *[A, _1] =:= A =:= *[_1, A]

    7. Distributivity: *[A, +[B, C]] =:= +[*[A, B], *[A, C]]

    8. Zero exponent: ^[A, _0] =:= _1

    9. One exponent: ^[_1, A] =:= _1

    10. Exponent Identity: ^[A, _1] =:= A

    11. Total Order

    Author:

    Harshad Deo

    Definition Classes
    typequux
    Since

    0.1

  • ExpFold
  • IncFold
  • Nat0
  • NatRep
  • ProdFold
  • Succ
  • SumFold

object NatRep

Provides implicit definitions to build a value level representation of a Nat

Author:

Harshad Deo

Since

0.1

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  1. final def !=(arg0: Any): Boolean
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  3. final def ==(arg0: Any): Boolean
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  6. final def eq(arg0: AnyRef): Boolean
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  10. final def isInstanceOf[T0]: Boolean
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  11. implicit val natRep0: NatRep[Nat0]

    Implements NatRep for Nat0

    Implements NatRep for Nat0

    Author:

    Harshad Deo

    Since

    0.1

  12. implicit def natRepSucc[N <: Nat](implicit ev: NatRep[N]): NatRep[Succ[N]]

    Builds NatRep for Succ

    Builds NatRep for Succ

    Author:

    Harshad Deo

    Since

    0.1

  13. final def ne(arg0: AnyRef): Boolean
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  14. final def notify(): Unit
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  15. final def notifyAll(): Unit
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  16. final def synchronized[T0](arg0: => T0): T0
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  18. final def wait(arg0: Long, arg1: Int): Unit
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  19. final def wait(arg0: Long): Unit
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  20. final def wait(): Unit
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  1. def finalize(): Unit
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    Deprecated

    (Since version ) see corresponding Javadoc for more information.

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