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Svtv-chase-evaldata

Svtv-chase-evaldata->updates

Get the updates field from a svtv-chase-evaldata.

Signature
(svtv-chase-evaldata->updates x) → updates
Arguments: x — Guard (svtv-chase-evaldata-p x).
Returns: updates — Type (svex-alist-p updates).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: svtv-chase-evaldata->updates$inline

(defun svtv-chase-evaldata->updates$inline (x)
  (declare (xargs :guard (svtv-chase-evaldata-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'svtv-chase-evaldata->updates))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (svex-alist-fix (std::da-nth 1 x)))
         :exec (std::da-nth 1 x))))

Theorem: svex-alist-p-of-svtv-chase-evaldata->updates

(defthm svex-alist-p-of-svtv-chase-evaldata->updates
  (b* ((updates (svtv-chase-evaldata->updates$inline x)))
    (svex-alist-p updates))
  :rule-classes :rewrite)

Theorem: svtv-chase-evaldata->updates$inline-of-svtv-chase-evaldata-fix-x

(defthm
   svtv-chase-evaldata->updates$inline-of-svtv-chase-evaldata-fix-x
 (equal
   (svtv-chase-evaldata->updates$inline (svtv-chase-evaldata-fix x))
   (svtv-chase-evaldata->updates$inline x)))

Theorem: svtv-chase-evaldata->updates$inline-svtv-chase-evaldata-equiv-congruence-on-x

(defthm
 svtv-chase-evaldata->updates$inline-svtv-chase-evaldata-equiv-congruence-on-x
 (implies (svtv-chase-evaldata-equiv x x-equiv)
          (equal (svtv-chase-evaldata->updates$inline x)
                 (svtv-chase-evaldata->updates$inline x-equiv)))
 :rule-classes :congruence)