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Implementation-environments

Ienv->sshort-max

The ACL2 integer value of SHRT_MAX [C17:5.2.4.2.1].

Signature
(ienv->sshort-max ienv) → max
Arguments: ienv — Guard (ienvp ienv).
Returns: max — Type (posp max).

Definitions and Theorems

Function: ienv->sshort-max

(defun ienv->sshort-max (ienv)
  (declare (xargs :guard (ienvp ienv)))
  (integer-format->signed-max
       (char+short+int+long+llong+bool-format->short
            (ienv->char+short+int+long+llong+bool-format ienv))))

Theorem: posp-of-ienv->sshort-max

(defthm posp-of-ienv->sshort-max
  (b* ((max (ienv->sshort-max ienv)))
    (posp max))
  :rule-classes :rewrite)

Theorem: ienv->sshort-max-of-ienv-fix-ienv

(defthm ienv->sshort-max-of-ienv-fix-ienv
  (equal (ienv->sshort-max (ienv-fix ienv))
         (ienv->sshort-max ienv)))

Theorem: ienv->sshort-max-ienv-equiv-congruence-on-ienv

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