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    • Values

    Value-integer->get

    Return the ACL2 integer from its meta representation.

    Signature
    (value-integer->get x) → x-integer
    Arguments
    x — Guard (and (valuep x) (value-case-integer x)).
    Returns
    x-integer — Type (integerp x-integer).

    The name of this function is analogous to the accessor value-number->get of the fixtype of values.

    Definitions and Theorems

    Function: value-integer->get

    (defun value-integer->get (x)
      (declare (xargs :guard (and (valuep x)
                                  (value-case-integer x))))
      (let ((__function__ 'value-integer->get))
        (declare (ignorable __function__))
        (if (mbt (value-case-integer (value-fix x)))
            (value-number->get (value-fix x))
          0)))

    Theorem: integerp-of-value-integer->get

    (defthm integerp-of-value-integer->get
      (b* ((x-integer (value-integer->get x)))
        (integerp x-integer))
      :rule-classes :rewrite)

    Theorem: value-integer->get-of-value-fix-x

    (defthm value-integer->get-of-value-fix-x
      (equal (value-integer->get (value-fix x))
             (value-integer->get x)))

    Theorem: value-integer->get-value-equiv-congruence-on-x

    (defthm value-integer->get-value-equiv-congruence-on-x
      (implies (value-equiv x x-equiv)
               (equal (value-integer->get x)
                      (value-integer->get x-equiv)))
      :rule-classes :congruence)