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Implementation-environments

Ienv->schar-min

The ACL2 integer value of SCHAR_MIN [C17:5.2.4.2.1/1].

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

Although this currently does not depend on the implementation environment, we make that an input to this function for uniformity and extensibility.

Definitions and Theorems

Function: ienv->schar-min

(defun ienv->schar-min (ienv)
  (declare (xargs :guard (ienvp ienv)))
  (declare (ignore ienv))
  (declare
       (xargs :type-prescription (integerp (ienv->schar-min ienv))))
  -128)

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

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

Theorem: ienv->schar-min-correct

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

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

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

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

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