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Svtv

Svtv->nextstate

Get the nextstate field from a svtv.

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

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: svtv->nextstate$inline

(defun svtv->nextstate$inline (x)
  (declare (xargs :guard (svtv-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'svtv->nextstate))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (svex-alist-fix (std::da-nth 2 x)))
         :exec (std::da-nth 2 x))))

Theorem: svex-alist-p-of-svtv->nextstate

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

Theorem: svtv->nextstate$inline-of-svtv-fix-x

(defthm svtv->nextstate$inline-of-svtv-fix-x
  (equal (svtv->nextstate$inline (svtv-fix x))
         (svtv->nextstate$inline x)))

Theorem: svtv->nextstate$inline-svtv-equiv-congruence-on-x

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