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Objdesign-of-var-of-create-var

How objdesign-of-var changes under create-var.

Definitions and Theorems

Theorem: objdesign-of-var-aux-of-create-var

(defthm objdesign-of-var-aux-of-create-var
 (b* ((compst1 (create-var var val compst))
      (scopes (frame->scopes (top-frame compst)))
      (scopes1 (frame->scopes (top-frame compst1))))
   (implies (and (not (errorp compst1))
                 (identp var)
                 (identp var1))
            (equal (objdesign-of-var-aux var1 frame scopes1)
                   (if (and (equal var1 var)
                            (> (compustate-frames-number compst) 0))
                       (objdesign-auto var frame (1- (len scopes)))
                     (objdesign-of-var-aux var1 frame scopes))))))

Theorem: objdesign-of-var-of-create-var

(defthm objdesign-of-var-of-create-var
 (b* ((compst1 (create-var var val compst)))
  (implies
   (and (not (errorp compst1))
        (identp var)
        (identp var1))
   (equal (objdesign-of-var var1 compst1)
          (if (equal var1 var)
              (if (equal (compustate-frames-number compst)
                         0)
                  (objdesign-static var)
                (objdesign-auto
                     var
                     (1- (compustate-frames-number compst))
                     (1- (len (frame->scopes (top-frame compst))))))
            (objdesign-of-var var1 compst))))))