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Svjumpstate

Svjumpstate->breakst

Get the breakst field from a svjumpstate.

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

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: svjumpstate->breakst$inline

(defun svjumpstate->breakst$inline (x)
  (declare (xargs :guard (svjumpstate-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'svjumpstate->breakst))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (svstate-fix (cdr (std::da-nth 2 x))))
         :exec (cdr (std::da-nth 2 x)))))

Theorem: svstate-p-of-svjumpstate->breakst

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

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

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

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

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