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Push/pop/top-frame-theorems

Theorems relating push-frame, pop-frame, and top-frame.

Definitions and Theorems

Theorem: top-frame-of-push-frame

(defthm top-frame-of-push-frame
  (equal (top-frame (push-frame frame compst))
         (frame-fix frame)))

Theorem: pop-frame-of-push-frame

(defthm pop-frame-of-push-frame
  (equal (pop-frame (push-frame frame compst))
         (compustate-fix compst)))

Theorem: push-frame-of-top-frame-and-pop-frame

(defthm push-frame-of-top-frame-and-pop-frame
  (implies (> (compustate-frames-number compst) 0)
           (equal (push-frame (top-frame compst)
                              (pop-frame compst))
                  (compustate-fix compst))))