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Abstract-syntax-standardp

Ext-declon-list-standardp

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

Definitions and Theorems

Function: ext-declon-list-standardp

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

Theorem: booleanp-of-ext-declon-list-standardp

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

Theorem: ext-declon-list-standardp-of-ext-declon-list-fix-ext-declon-list

(defthm
   ext-declon-list-standardp-of-ext-declon-list-fix-ext-declon-list
 (equal
   (ext-declon-list-standardp (ext-declon-list-fix ext-declon-list))
   (ext-declon-list-standardp ext-declon-list)))

Theorem: ext-declon-list-standardp-ext-declon-list-equiv-congruence-on-ext-declon-list

(defthm
 ext-declon-list-standardp-ext-declon-list-equiv-congruence-on-ext-declon-list
 (implies
      (ext-declon-list-equiv ext-declon-list ext-declon-list-equiv)
      (equal (ext-declon-list-standardp ext-declon-list)
             (ext-declon-list-standardp ext-declon-list-equiv)))
 :rule-classes :congruence)