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Integer-ranges

Ushort-max

Maximum ACL2 integer value of type unsigned short.

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

Definitions and Theorems

Function: ushort-max

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

Theorem: integerp-of-ushort-max

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

Theorem: ushort-max-bound

(defthm ushort-max-bound
  (>= (ushort-max) 65535)
  :rule-classes :linear)

Subtopics

Ushort-max-<=-uint-max: General relation between unsigned short and unsigned int maxima.
Ushort-max-vs-uint-max: Relation between unsigned short and unsigned int maxima.
Ushort-max-vs-slong-max: Relation between unsigned char and signed int maxima.
Ushort-max-vs-sllong-max: Relation between unsigned int and signed long long maxima.
Ushort-max-vs-sint-max: Relation between unsigned short and signed int maxima.
Uchar-max-<=-ushort-max: General relation between unsigned char and unsigned short maxima.
Uchar-max-vs-ushort-max: Relation between unsigned char and unsigned short maxima.