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Abstract-syntax-standardp

S-char-list-standardp

Signature
(s-char-list-standardp s-char-list) → fty::result
Arguments: s-char-list — Guard (s-char-listp s-char-list).
Returns: fty::result — Type (booleanp fty::result).

Definitions and Theorems

Function: s-char-list-standardp

(defun s-char-list-standardp (s-char-list)
  (declare (xargs :guard (s-char-listp s-char-list)))
  (let ((__function__ 's-char-list-standardp))
    (declare (ignorable __function__))
    (cond ((endp s-char-list) t)
          (t (and (s-char-standardp (car s-char-list))
                  (s-char-list-standardp (cdr s-char-list)))))))

Theorem: booleanp-of-s-char-list-standardp

(defthm booleanp-of-s-char-list-standardp
  (b* ((fty::result (s-char-list-standardp s-char-list)))
    (booleanp fty::result))
  :rule-classes :rewrite)

Theorem: s-char-list-standardp-of-s-char-list-fix-s-char-list

(defthm s-char-list-standardp-of-s-char-list-fix-s-char-list
  (equal (s-char-list-standardp (s-char-list-fix s-char-list))
         (s-char-list-standardp s-char-list)))

Theorem: s-char-list-standardp-s-char-list-equiv-congruence-on-s-char-list

(defthm
  s-char-list-standardp-s-char-list-equiv-congruence-on-s-char-list
  (implies (s-char-list-equiv s-char-list s-char-list-equiv)
           (equal (s-char-list-standardp s-char-list)
                  (s-char-list-standardp s-char-list-equiv)))
  :rule-classes :congruence)