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Pop-frame-of-write-object

How write-object changes under pop-frame.

Definitions and Theorems

Theorem: pop-frame-of-write-object-static/alloc

(defthm pop-frame-of-write-object-static/alloc
  (implies (and (member-equal (objdesign-kind objdes)
                              '(:static :alloc))
                (not (errorp (write-object objdes val compst))))
           (equal (pop-frame (write-object objdes val compst))
                  (write-object objdes val (pop-frame compst)))))

Theorem: pop-frame-of-write-object-top-static/alloc

(defthm pop-frame-of-write-object-top-static/alloc
 (implies (and (member-equal (objdesign-kind (objdesign-top objdes))
                             '(:static :alloc))
               (not (errorp (write-object objdes val compst))))
          (equal (pop-frame (write-object objdes val compst))
                 (write-object objdes val (pop-frame compst)))))

Theorem: pop-frame-of-write-object-auto

(defthm pop-frame-of-write-object-auto
  (implies (and (equal (objdesign-kind objdes) :auto)
                (not (errorp (write-object objdes val compst))))
           (equal (pop-frame (write-object objdes val compst))
                  (if (equal (objdesign-auto->frame objdes)
                             (1- (compustate-frames-number compst)))
                      (pop-frame compst)
                    (write-object objdes val (pop-frame compst))))))

Theorem: pop-frame-of-write-object-top-auto

(defthm pop-frame-of-write-object-top-auto
 (implies
    (and (equal (objdesign-kind (objdesign-top objdes))
                :auto)
         (not (errorp (write-object objdes val compst))))
    (equal (pop-frame (write-object objdes val compst))
           (if (equal (objdesign-auto->frame (objdesign-top objdes))
                      (1- (compustate-frames-number compst)))
               (pop-frame compst)
             (write-object objdes val (pop-frame compst))))))

Theorem: pop-frame-of-write-object

(defthm pop-frame-of-write-object
 (implies
  (not (errorp (write-object objdes val compst)))
  (equal
      (pop-frame (write-object objdes val compst))
      (if (and (equal (objdesign-kind (objdesign-top objdes))
                      :auto)
               (equal (objdesign-auto->frame (objdesign-top objdes))
                      (1- (compustate-frames-number compst))))
          (pop-frame compst)
        (write-object objdes val (pop-frame compst))))))