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• Gather-paging-structures

Open-qword-paddr-list

Signature

(open-qword-paddr-list xs) → *

Definitions and Theorems

Function: open-qword-paddr-list

(defun open-qword-paddr-list (xs)
  (declare (xargs :guard (qword-paddr-listp xs)))
  (let ((__function__ 'open-qword-paddr-list))
    (declare (ignorable __function__))
    (if (endp xs)
        nil
      (append (addr-range 8 (car xs))
              (open-qword-paddr-list (cdr xs))))))

Theorem: open-qword-paddr-list-and-member-p

(defthm open-qword-paddr-list-and-member-p
  (implies (and (mult-8-qword-paddr-listp addrs)
                (member-p index addrs))
           (member-p index (open-qword-paddr-list addrs))))

Theorem: open-qword-paddr-list-and-subset-p

(defthm open-qword-paddr-list-and-subset-p
  (implies (member-p index addrs)
           (subset-p (addr-range 8 index)
                     (open-qword-paddr-list addrs))))

Theorem: open-qword-paddr-list-and-append

(defthm open-qword-paddr-list-and-append
  (equal (open-qword-paddr-list (append xs ys))
         (append (open-qword-paddr-list xs)
                 (open-qword-paddr-list ys))))