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  • Cases

Downcase-string-list

Convert every string in a list to lower case.

Signature
(downcase-string-list x) → downcased
Arguments
x — Guard (string-listp x).
Returns
downcased — Type (string-listp downcased).

Definitions and Theorems

Function: downcase-string-list

(defun downcase-string-list (x)
       (declare (xargs :guard (string-listp x)))
       (let ((acl2::__function__ 'downcase-string-list))
            (declare (ignorable acl2::__function__))
            (mbe :logic (if (atom x)
                            nil
                            (cons (downcase-string (car x))
                                  (downcase-string-list (cdr x))))
                 :exec (reverse (downcase-string-list-aux x nil)))))

Theorem: string-listp-of-downcase-string-list

(defthm string-listp-of-downcase-string-list
        (b* ((downcased (downcase-string-list x)))
            (string-listp downcased))
        :rule-classes :rewrite)

Theorem: downcase-string-list-aux-is-downcase-string-list

(defthm downcase-string-list-aux-is-downcase-string-list
        (equal (downcase-string-list-aux x acc)
               (revappend (downcase-string-list x)
                          acc)))

Subtopics

Downcase-string-list-aux