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Svjumpstate

Svjumpstate->constraints

Get the constraints field from a svjumpstate.

Signature
(svjumpstate->constraints x) → constraints
Arguments: x — Guard (svjumpstate-p x).
Returns: constraints — Type (constraintlist-p constraints).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: svjumpstate->constraints$inline

(defun svjumpstate->constraints$inline (x)
  (declare (xargs :guard (svjumpstate-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'svjumpstate->constraints))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (constraintlist-fix (cdr (std::da-nth 0 x))))
         :exec (cdr (std::da-nth 0 x)))))

Theorem: constraintlist-p-of-svjumpstate->constraints

(defthm constraintlist-p-of-svjumpstate->constraints
  (b* ((constraints (svjumpstate->constraints$inline x)))
    (constraintlist-p constraints))
  :rule-classes :rewrite)

Theorem: svjumpstate->constraints$inline-of-svjumpstate-fix-x

(defthm svjumpstate->constraints$inline-of-svjumpstate-fix-x
  (equal (svjumpstate->constraints$inline (svjumpstate-fix x))
         (svjumpstate->constraints$inline x)))

Theorem: svjumpstate->constraints$inline-svjumpstate-equiv-congruence-on-x

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