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Intern-list

Generate a list of symbols in some package.

Examples:

(intern-list '("FOO" "BAR"))           --> (acl2::foo acl2::bar)
(intern-list '("FOO" "BAR") 'str::foo) --> (str::foo str::bar)

(intern-list x &optional (pkg ''acl2::acl2-pkg-witness)) is a macro that takes

names, a list of strings that will become the symbol-names of the new symbols, and optionally
pkg, a symbol that is used as a package indicator, as in intern-in-package-of-symbol.

Definitions and Theorems

Function: intern-list-fn

(defun intern-list-fn (x pkg)
  (declare (xargs :guard (and (string-listp x) (symbolp pkg))))
  (if (atom x)
      nil
    (cons (intern-in-package-of-symbol (car x)
                                       pkg)
          (intern-list-fn (cdr x) pkg))))

Theorem: intern-list-fn-when-atom

(defthm intern-list-fn-when-atom
  (implies (atom x)
           (equal (intern-list-fn x pkg) nil)))

Theorem: intern-list-fn-of-cons

(defthm intern-list-fn-of-cons
  (equal (intern-list-fn (cons a x) pkg)
         (cons (intern-in-package-of-symbol a pkg)
               (intern-list-fn x pkg))))

Theorem: symbol-listp-of-intern-list-fn

(defthm symbol-listp-of-intern-list-fn
  (symbol-listp (intern-list-fn x pkg)))

Theorem: list-equiv-implies-equal-intern-list-fn-1

(defthm list-equiv-implies-equal-intern-list-fn-1
  (implies (list-equiv x x-equiv)
           (equal (intern-list-fn x pkg)
                  (intern-list-fn x-equiv pkg)))
  :rule-classes (:congruence))

Theorem: intern-list-fn-of-append

(defthm intern-list-fn-of-append
  (equal (intern-list-fn (append x y) pkg)
         (append (intern-list-fn x pkg)
                 (intern-list-fn y pkg))))

Theorem: intern-list-fn-of-revappend

(defthm intern-list-fn-of-revappend
  (equal (intern-list-fn (revappend x y) pkg)
         (revappend (intern-list-fn x pkg)
                    (intern-list-fn y pkg))))

Theorem: intern-list-fn-of-rev

(defthm intern-list-fn-of-rev
  (equal (intern-list-fn (rev x) pkg)
         (rev (intern-list-fn x pkg))))