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Representation-of-integers

Ulong-from-integer

Constructor for values of type unsigned long.

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

Definitions and Theorems

Function: ulong-from-integer

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

Theorem: ulongp-of-ulong-from-integer

(defthm ulongp-of-ulong-from-integer
  (b* ((y (ulong-from-integer get)))
    (ulongp y))
  :rule-classes :rewrite)

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

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

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

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