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Representation-of-integers

Uchar-from-integer

Constructor for values of type unsigned char.

Signature
(uchar-from-integer get) → y
Arguments: get — Guard (uchar-integerp get).
Returns: y — Type (ucharp y).

Definitions and Theorems

Function: uchar-from-integer

(defun uchar-from-integer (get)
  (declare (xargs :guard (uchar-integerp get)))
  (let ((__function__ 'uchar-from-integer))
    (declare (ignorable __function__))
    (b* ((get (mbe :logic (uchar-integer-fix get)
                   :exec get)))
      (cons :uchar (list get)))))

Theorem: ucharp-of-uchar-from-integer

(defthm ucharp-of-uchar-from-integer
  (b* ((y (uchar-from-integer get)))
    (ucharp y))
  :rule-classes :rewrite)

Theorem: uchar-from-integer-of-uchar-integer-fix-get

(defthm uchar-from-integer-of-uchar-integer-fix-get
  (equal (uchar-from-integer (uchar-integer-fix get))
         (uchar-from-integer get)))

Theorem: uchar-from-integer-uchar-integer-equiv-congruence-on-get

(defthm uchar-from-integer-uchar-integer-equiv-congruence-on-get
  (implies (uchar-integer-equiv get get-equiv)
           (equal (uchar-from-integer get)
                  (uchar-from-integer get-equiv)))
  :rule-classes :congruence)