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Vls-remove-from-scannedalist

Signature

(vls-remove-from-scannedalist names x) → new-x

Arguments

names — Guard (string-listp names).

x — Guard (vls-scannedalist-p x).

Returns

new-x — Type (vls-scannedalist-p new-x), given (vls-scannedalist-p x).

Definitions and Theorems

Function: vls-remove-from-scannedalist

(defun vls-remove-from-scannedalist (names x)
  (declare (xargs :guard (and (string-listp names)
                              (vls-scannedalist-p x))))
  (let ((__function__ 'vls-remove-from-scannedalist))
    (declare (ignorable __function__))
    (cond ((atom x) nil)
          ((member-equal (caar x) names)
           (vls-remove-from-scannedalist names (cdr x)))
          (t (cons (car x)
                   (vls-remove-from-scannedalist names (cdr x)))))))

Theorem: vls-scannedalist-p-of-vls-remove-from-scannedalist

(defthm vls-scannedalist-p-of-vls-remove-from-scannedalist
  (implies (vls-scannedalist-p x)
           (b* ((new-x (vls-remove-from-scannedalist names x)))
             (vls-scannedalist-p new-x)))
  :rule-classes :rewrite)