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Representation-of-integers

Sint-fix

Fixer for values of type signed int.

Signature
(sint-fix x) → fixed-x
Arguments: x — Guard (sintp x).
Returns: fixed-x — Type (sintp fixed-x).

Definitions and Theorems

Function: sint-fix

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

Theorem: sintp-of-sint-fix

(defthm sintp-of-sint-fix
  (b* ((fixed-x (sint-fix x)))
    (sintp fixed-x))
  :rule-classes :rewrite)

Theorem: sint-fix-when-sintp

(defthm sint-fix-when-sintp
  (implies (sintp x)
           (equal (sint-fix x) x)))