		Search-engine friendly clone of the ACL2 documentation.

Implementation-environments

Uint-max

Maximum mathematical integer value of type unsigned int.

Signature
(uint-max ienv) → val
Arguments: ienv — Guard (ienvp ienv).
Returns: val — Type (natp val).

This depends on the implementation environment.

Note that the minimum unsigned signed is just 0, so there is no need to introduce a function for it.

Definitions and Theorems

Function: uint-max

(defun uint-max (ienv)
  (declare (xargs :guard (ienvp ienv)))
  (let ((__function__ 'uint-max))
    (declare (ignorable __function__))
    (1- (expt 2 (* 8 (ienv->int-bytes ienv))))))

Theorem: natp-of-uint-max

(defthm natp-of-uint-max
  (b* ((val (uint-max ienv))) (natp val))
  :rule-classes (:rewrite :type-prescription))

Theorem: uint-max-of-ienv-fix-ienv

(defthm uint-max-of-ienv-fix-ienv
  (equal (uint-max (ienv-fix ienv))
         (uint-max ienv)))

Theorem: uint-max-ienv-equiv-congruence-on-ienv

(defthm uint-max-ienv-equiv-congruence-on-ienv
  (implies (ienv-equiv ienv ienv-equiv)
           (equal (uint-max ienv)
                  (uint-max ienv-equiv)))
  :rule-classes :congruence)