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• Std/lists/abstract

Elementlist-mapappend

Generic mapappend over a typed list.

Definitions and Theorems

Function: elementlist-mapappend

(defun elementlist-mapappend (x)
       (if (atom x)
           nil
           (append (element-listxformer (car x))
                   (elementlist-mapappend (cdr x)))))

Theorem: outelement-list-p-of-elementlist-mapappend

(defthm outelement-list-p-of-elementlist-mapappend
        (implies (element-list-p x)
                 (outelement-list-p (elementlist-mapappend x)))
        :rule-classes :rewrite)

Theorem: elementlist-mapappend-of-cons

(defthm elementlist-mapappend-of-cons
        (equal (elementlist-mapappend (cons a b))
               (append (element-listxformer a)
                       (elementlist-mapappend b)))
        :rule-classes :rewrite)

Theorem: elementlist-mapappend-when-not-consp

(defthm elementlist-mapappend-when-not-consp
        (implies (not (consp x))
                 (equal (elementlist-mapappend x) nil))
        :rule-classes :rewrite)

Theorem: elementlist-mapappend-of-append

(defthm elementlist-mapappend-of-append
        (equal (elementlist-mapappend (append a b))
               (append (elementlist-mapappend a)
                       (elementlist-mapappend b)))
        :rule-classes :rewrite)