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Representation-of-integers

Schar-from-integer

Constructor for values of type signed char.

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

Definitions and Theorems

Function: schar-from-integer

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

Theorem: scharp-of-schar-from-integer

(defthm scharp-of-schar-from-integer
  (b* ((y (schar-from-integer get)))
    (scharp y))
  :rule-classes :rewrite)

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

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

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

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