		Search-engine friendly clone of the ACL2 documentation.

Svstmt-compile.lisp

Svstate-clean

Signature
(svstate-clean x) → new-x
Arguments: x — Guard (svstate-p x).
Returns: new-x — Type (svstate-p new-x).

Definitions and Theorems

Function: svstate-clean

(defun svstate-clean (x)
  (declare (xargs :guard (svstate-p x)))
  (let ((__function__ 'svstate-clean))
    (declare (ignorable __function__))
    (b* (((svstate x)))
      (change-svstate x
                      :blkst (svstack-clean x.blkst)
                      :nonblkst (fast-alist-clean x.nonblkst)))))

Theorem: svstate-p-of-svstate-clean

(defthm svstate-p-of-svstate-clean
  (b* ((new-x (svstate-clean x)))
    (svstate-p new-x))
  :rule-classes :rewrite)

Theorem: vars-of-svstate-clean

(defthm vars-of-svstate-clean
  (b* ((?new-x (svstate-clean x)))
    (implies (not (member v (svstate-vars x)))
             (not (member v (svstate-vars new-x))))))

Theorem: nonblkst-of-svstate-clean

(defthm nonblkst-of-svstate-clean
  (b* ((?new-x (svstate-clean x)))
    (equal (svstate->nonblkst new-x)
           (fast-alist-clean (svstate->nonblkst x)))))

Theorem: svstate-clean-of-svstate-fix-x

(defthm svstate-clean-of-svstate-fix-x
  (equal (svstate-clean (svstate-fix x))
         (svstate-clean x)))

Theorem: svstate-clean-svstate-equiv-congruence-on-x

(defthm svstate-clean-svstate-equiv-congruence-on-x
  (implies (svstate-equiv x x-equiv)
           (equal (svstate-clean x)
                  (svstate-clean x-equiv)))
  :rule-classes :congruence)