		Search-engine friendly clone of the ACL2 documentation.

Implementation-environments

Char-min

Minimum mathematical integer value of the type char.

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

This is either schar-min or 0, based on the flag in the implementation environment.

Definitions and Theorems

Function: char-min

(defun char-min (ienv)
  (declare (xargs :guard (ienvp ienv)))
  (let ((__function__ 'char-min))
    (declare (ignorable __function__))
    (if (ienv->plain-char-signedp ienv)
        (schar-min)
      0)))

Theorem: integerp-of-char-min

(defthm integerp-of-char-min
  (b* ((val (char-min ienv)))
    (integerp val))
  :rule-classes :rewrite)

Theorem: char-min-of-ienv-fix-ienv

(defthm char-min-of-ienv-fix-ienv
  (equal (char-min (ienv-fix ienv))
         (char-min ienv)))

Theorem: char-min-ienv-equiv-congruence-on-ienv

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