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Svstmt-compile.lisp

Svstate-push-scope

Signature
(svstate-push-scope x locals) → new-x
Arguments: x — Guard (svstate-p x).; locals — Guard (svarlist-p locals).
Returns: new-x — Type (svstate-p new-x).

Definitions and Theorems

Function: svstate-push-scope

(defun svstate-push-scope (x locals)
  (declare (xargs :guard (and (svstate-p x)
                              (svarlist-p locals))))
  (let ((__function__ 'svstate-push-scope))
    (declare (ignorable __function__))
    (b* (((svstate x)))
      (change-svstate x
                      :blkst (cons (svstmt-initialize-locals locals)
                                   x.blkst)))))

Theorem: svstate-p-of-svstate-push-scope

(defthm svstate-p-of-svstate-push-scope
  (b* ((new-x (svstate-push-scope x locals)))
    (svstate-p new-x))
  :rule-classes :rewrite)

Theorem: vars-of-svstate-push-scope

(defthm vars-of-svstate-push-scope
  (b* ((?new-x (svstate-push-scope x locals)))
    (implies (and (not (member v (svstate-vars x)))
                  (not (member v (svarlist-fix locals))))
             (not (member v (svstate-vars new-x))))))

Theorem: svstate-push-scope-of-svstate-fix-x

(defthm svstate-push-scope-of-svstate-fix-x
  (equal (svstate-push-scope (svstate-fix x)
                             locals)
         (svstate-push-scope x locals)))

Theorem: svstate-push-scope-svstate-equiv-congruence-on-x

(defthm svstate-push-scope-svstate-equiv-congruence-on-x
  (implies (svstate-equiv x x-equiv)
           (equal (svstate-push-scope x locals)
                  (svstate-push-scope x-equiv locals)))
  :rule-classes :congruence)

Theorem: svstate-push-scope-of-svarlist-fix-locals

(defthm svstate-push-scope-of-svarlist-fix-locals
  (equal (svstate-push-scope x (svarlist-fix locals))
         (svstate-push-scope x locals)))

Theorem: svstate-push-scope-svarlist-equiv-congruence-on-locals

(defthm svstate-push-scope-svarlist-equiv-congruence-on-locals
  (implies (svarlist-equiv locals locals-equiv)
           (equal (svstate-push-scope x locals)
                  (svstate-push-scope x locals-equiv)))
  :rule-classes :congruence)