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Representation-of-integers

Uchar-fix

Fixer for values of type unsigned char.

Signature
(uchar-fix x) → fixed-x
Arguments: x — Guard (ucharp x).
Returns: fixed-x — Type (ucharp fixed-x).

Definitions and Theorems

Function: uchar-fix

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

Theorem: ucharp-of-uchar-fix

(defthm ucharp-of-uchar-fix
  (b* ((fixed-x (uchar-fix x)))
    (ucharp fixed-x))
  :rule-classes :rewrite)

Theorem: uchar-fix-when-ucharp

(defthm uchar-fix-when-ucharp
  (implies (ucharp x)
           (equal (uchar-fix x) x)))