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Representation-of-integers

Ulong-fix

Fixer for values of type unsigned long.

Signature
(ulong-fix x) → fixed-x
Arguments: x — Guard (ulongp x).
Returns: fixed-x — Type (ulongp fixed-x).

Definitions and Theorems

Function: ulong-fix

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

Theorem: ulongp-of-ulong-fix

(defthm ulongp-of-ulong-fix
  (b* ((fixed-x (ulong-fix x)))
    (ulongp fixed-x))
  :rule-classes :rewrite)

Theorem: ulong-fix-when-ulongp

(defthm ulong-fix-when-ulongp
  (implies (ulongp x)
           (equal (ulong-fix x) x)))