		Search-engine friendly clone of the ACL2 documentation.

Lhs.lisp

Driverlist-vars

Signature
(driverlist-vars x) → vars
Arguments: x — Guard (driverlist-p x).
Returns: vars — Type (svarlist-p vars).

Definitions and Theorems

Function: driverlist-vars

(defun driverlist-vars (x)
  (declare (xargs :guard (driverlist-p x)))
  (let ((__function__ 'driverlist-vars))
    (declare (ignorable __function__))
    (if (atom x)
        nil
      (append (svex-vars (driver->value (car x)))
              (driverlist-vars (cdr x))))))

Theorem: svarlist-p-of-driverlist-vars

(defthm svarlist-p-of-driverlist-vars
  (b* ((vars (driverlist-vars x)))
    (svarlist-p vars))
  :rule-classes :rewrite)

Theorem: driverlist-vars-of-cons

(defthm driverlist-vars-of-cons
  (equal (driverlist-vars (cons x y))
         (append (svex-vars (driver->value x))
                 (driverlist-vars y))))

Theorem: driverlist-vars-of-driverlist-fix-x

(defthm driverlist-vars-of-driverlist-fix-x
  (equal (driverlist-vars (driverlist-fix x))
         (driverlist-vars x)))

Theorem: driverlist-vars-driverlist-equiv-congruence-on-x

(defthm driverlist-vars-driverlist-equiv-congruence-on-x
  (implies (driverlist-equiv x x-equiv)
           (equal (driverlist-vars x)
                  (driverlist-vars x-equiv)))
  :rule-classes :congruence)