		Search-engine friendly clone of the ACL2 documentation.

Representation-of-integers

Sint-from-integer

Constructor for values of type signed int.

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

Definitions and Theorems

Function: sint-from-integer

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

Theorem: sintp-of-sint-from-integer

(defthm sintp-of-sint-from-integer
  (b* ((y (sint-from-integer get)))
    (sintp y))
  :rule-classes :rewrite)

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

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

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

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