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Integer-ranges

Ullong-max

Maximum ACL2 integer value of type unsigned long long.

Signature
(ullong-max) → ullong-max
Returns: ullong-max — Type (integerp ullong-max).

Definitions and Theorems

Function: ullong-max

(defun ullong-max nil
  (declare (xargs :guard t))
  (let ((__function__ 'ullong-max))
    (declare (ignorable __function__))
    (1- (expt 2 (llong-bits)))))

Theorem: integerp-of-ullong-max

(defthm integerp-of-ullong-max
  (b* ((ullong-max (ullong-max)))
    (integerp ullong-max))
  :rule-classes :type-prescription)

Theorem: ullong-max-bound

(defthm ullong-max-bound
  (>= (ullong-max) 18446744073709551615)
  :rule-classes :linear)

Subtopics

Ulong-max-<=-ullong-max: General relation between unsigned long and unsigned long long maxima.
Ulong-max-vs-ullong-max: Relation between unsigned long and unsigned long long maxima.