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Representation-of-integers

Slong-fix

Fixer for values of type signed long.

Signature
(slong-fix x) → fixed-x
Arguments: x — Guard (slongp x).
Returns: fixed-x — Type (slongp fixed-x).

Definitions and Theorems

Function: slong-fix

(defun slong-fix (x)
  (declare (xargs :guard (slongp x)))
  (let ((__function__ 'slong-fix))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((get (slong-integer-fix (std::da-nth 0 (cdr x)))))
           (cons :slong (list get)))
         :exec x)))

Theorem: slongp-of-slong-fix

(defthm slongp-of-slong-fix
  (b* ((fixed-x (slong-fix x)))
    (slongp fixed-x))
  :rule-classes :rewrite)

Theorem: slong-fix-when-slongp

(defthm slong-fix-when-slongp
  (implies (slongp x)
           (equal (slong-fix x) x)))