libref.proof

MinLemmas

object MinLemmas

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@library()
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  1. final def !=(arg0: AnyRef): Boolean

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  2. final def !=(arg0: Any): Boolean

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  3. final def ##(): Int

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  4. final def ==(arg0: AnyRef): Boolean

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  5. final def ==(arg0: Any): Boolean

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  6. final def asInstanceOf[T0]: T0

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  7. def clone(): AnyRef

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    protected[java.lang]
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    @throws( ... )
  8. final def eq(arg0: AnyRef): Boolean

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  9. def equals(arg0: Any): Boolean

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  10. def finalize(): Unit

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    protected[java.lang]
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    @throws( classOf[java.lang.Throwable] )
  11. final def getClass(): Class[_]

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  12. def hashCode(): Int

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  13. final def isInstanceOf[T0]: Boolean

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  14. def is_min(l: List[BigInt], n: BigInt): Boolean

  15. def min_concat_comm(l1: List[BigInt], l2: List[BigInt]): Boolean

    Assert that min(l1 ++ l2) == min(l2 ++ l1)

  16. def min_concat_lemma(l1: List[BigInt], l2: List[BigInt]): Boolean

    Assert that min(l1 ++ l2) == min(min(l1), min(l2))

    Assert that min(l1 ++ l2) == min(min(l1), min(l2))

    Annotations
    @induct()
  17. def min_contains(list: List[BigInt], m: BigInt): Boolean

    Annotations
    @induct()
  18. def min_content(l1: List[BigInt], l2: List[BigInt]): Boolean

  19. def min_delete(l: List[BigInt], m: BigInt): Boolean

    Annotations
    @induct()
  20. def min_lemma(list: List[BigInt], m: BigInt): Boolean

    Assert that a number is either > min(list) or <= all elements of list.

    Assert that a number is either > min(list) or <= all elements of list.

    Annotations
    @induct()
  21. def min_lemma2(list: List[BigInt]): Boolean

    Assert that min(list) is indeed the minimal element of list.

  22. def min_not_contains(list: List[BigInt], e: BigInt): Boolean

    Annotations
    @induct()
  23. def min_permutation(l1: List[BigInt], l2: List[BigInt]): Boolean

  24. final def ne(arg0: AnyRef): Boolean

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  25. final def notify(): Unit

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  26. final def notifyAll(): Unit

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

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  28. def toString(): String

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  29. final def wait(): Unit

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    @throws( ... )
  30. final def wait(arg0: Long, arg1: Int): Unit

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    @throws( ... )
  31. final def wait(arg0: Long): Unit

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    @throws( ... )

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