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Representation-of-integers

Sllong-fix

Fixer for values of type signed long long.

Signature
(sllong-fix x) → fixed-x
Arguments: x — Guard (sllongp x).
Returns: fixed-x — Type (sllongp fixed-x).

Definitions and Theorems

Function: sllong-fix

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

Theorem: sllongp-of-sllong-fix

(defthm sllongp-of-sllong-fix
  (b* ((fixed-x (sllong-fix x)))
    (sllongp fixed-x))
  :rule-classes :rewrite)

Theorem: sllong-fix-when-sllongp

(defthm sllong-fix-when-sllongp
  (implies (sllongp x)
           (equal (sllong-fix x) x)))