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• Symbols
• Symbol-name
• Symbol-listp

Symbol-list-names

Extract the name of every symbol in a list.

(symbol-list-names x) just maps symbol-name across the list x, returning a new list that has the names of all the symbols in x.

Example:

(symbol-list-names '(:foo acl2::bar str::baz))
  -->
("foo" "bar" "baz")

Definitions and Theorems

Function: symbol-list-names

(defun symbol-list-names (x)
  (declare (xargs :guard (symbol-listp x)))
  (if (atom x)
      nil
    (cons (symbol-name (car x))
          (symbol-list-names (cdr x)))))

Theorem: symbol-list-names-when-atom

(defthm symbol-list-names-when-atom
  (implies (atom x)
           (equal (symbol-list-names x) nil)))

Theorem: symbol-list-names-of-cons

(defthm symbol-list-names-of-cons
  (equal (symbol-list-names (cons a x))
         (cons (symbol-name a)
               (symbol-list-names x))))

Theorem: string-listp-of-symbol-list-names

(defthm string-listp-of-symbol-list-names
  (string-listp (symbol-list-names x)))

Theorem: list-equiv-implies-equal-symbol-list-names-1

(defthm list-equiv-implies-equal-symbol-list-names-1
  (implies (list-equiv x x-equiv)
           (equal (symbol-list-names x)
                  (symbol-list-names x-equiv)))
  :rule-classes (:congruence))

Theorem: symbol-list-names-of-append

(defthm symbol-list-names-of-append
  (equal (symbol-list-names (append x y))
         (append (symbol-list-names x)
                 (symbol-list-names y))))

Theorem: symbol-list-names-of-revappend

(defthm symbol-list-names-of-revappend
  (equal (symbol-list-names (revappend x y))
         (revappend (symbol-list-names x)
                    (symbol-list-names y))))

Theorem: symbol-list-names-of-rev

(defthm symbol-list-names-of-rev
  (equal (symbol-list-names (rev x))
         (rev (symbol-list-names x))))