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Ienv->slong-min

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

Signature

(ienv->slong-min ienv) → min

Arguments

ienv — Guard (ienvp ienv).

Returns

min — Type (integerp min).

Definitions and Theorems

Function: ienv->slong-min

(defun ienv->slong-min (ienv)
  (declare (xargs :guard (ienvp ienv)))
  (- (expt 2 (1- (* 8 (ienv->long-bytes ienv))))))

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

(defthm integerp-of-ienv->slong-min
  (b* ((min (ienv->slong-min ienv)))
    (integerp min))
  :rule-classes (:rewrite :type-prescription))

Theorem: ienv->slong-min-correct

(defthm ienv->slong-min-correct
  (equal (ienv->slong-min ienv)
         (c::ienv->slong-min (ldm-ienv ienv))))

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

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

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

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