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Representation-of-integers

Slong-from-integer

Constructor for values of type signed long.

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

Definitions and Theorems

Function: slong-from-integer

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

Theorem: slongp-of-slong-from-integer

(defthm slongp-of-slong-from-integer
  (b* ((y (slong-from-integer get)))
    (slongp y))
  :rule-classes :rewrite)

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

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

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

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