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Fsm->nextstate

Get the nextstate field from a fsm.

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

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: fsm->nextstate$inline

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

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

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

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

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

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

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