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Implementation-environments

Ienv->sint-min

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

Signature
(ienv->sint-min ienv) → min
Arguments: ienv — Guard (ienvp ienv).
Returns: min — Type (integerp min).

Definitions and Theorems

Function: ienv->sint-min

(defun ienv->sint-min (ienv)
 (declare (xargs :guard (ienvp ienv)))
 (let ((__function__ 'ienv->sint-min))
  (declare (ignorable __function__))
  (sinteger-format->min
   (uinteger+sinteger-format->signed
       (integer-format->pair
            (char+short+int+long+llong-format->int
                 (ienv->char+short+int+long+llong-format ienv)))))))

Theorem: integerp-of-ienv->sint-min

(defthm integerp-of-ienv->sint-min
  (b* ((min (ienv->sint-min ienv)))
    (integerp min))
  :rule-classes :rewrite)

Theorem: ienv->sint-min-of-ienv-fix-ienv

(defthm ienv->sint-min-of-ienv-fix-ienv
  (equal (ienv->sint-min (ienv-fix ienv))
         (ienv->sint-min ienv)))

Theorem: ienv->sint-min-ienv-equiv-congruence-on-ienv

(defthm ienv->sint-min-ienv-equiv-congruence-on-ienv
  (implies (ienv-equiv ienv ienv-equiv)
           (equal (ienv->sint-min ienv)
                  (ienv->sint-min ienv-equiv)))
  :rule-classes :congruence)