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• Vl-svstmt.lisp

Vttree-constraints-to-svstmts

Signature

(vttree-constraints-to-svstmts x) → svstmts

Arguments

x — Guard (vttree-p x).

Returns

svstmts — Type (sv::svstmtlist-p svstmts).

Definitions and Theorems

Function: vttree-constraints-to-svstmts

(defun vttree-constraints-to-svstmts (x)
 (declare (xargs :guard (vttree-p x)))
 (let ((__function__ 'vttree-constraints-to-svstmts))
  (declare (ignorable __function__))
  (b* ((constraints (vttree->constraints x)))
   (if (atom constraints)
       nil
    (list
         (sv::make-svstmt-constraints :constraints constraints))))))

Theorem: svstmtlist-p-of-vttree-constraints-to-svstmts

(defthm svstmtlist-p-of-vttree-constraints-to-svstmts
  (b* ((svstmts (vttree-constraints-to-svstmts x)))
    (sv::svstmtlist-p svstmts))
  :rule-classes :rewrite)

Theorem: vars-of-vttree-constraints-to-svstmts

(defthm vars-of-vttree-constraints-to-svstmts
 (b* ((?svstmts (vttree-constraints-to-svstmts x)))
  (implies
    (not (member v
                 (sv::constraintlist-vars (vttree->constraints x))))
    (not (member v (sv::svstmtlist-vars svstmts))))))

Theorem: vttree-constraints-to-svstmts-of-vttree-fix-x

(defthm vttree-constraints-to-svstmts-of-vttree-fix-x
  (equal (vttree-constraints-to-svstmts (vttree-fix x))
         (vttree-constraints-to-svstmts x)))

Theorem: vttree-constraints-to-svstmts-vttree-equiv-congruence-on-x

(defthm vttree-constraints-to-svstmts-vttree-equiv-congruence-on-x
  (implies (vttree-equiv x x-equiv)
           (equal (vttree-constraints-to-svstmts x)
                  (vttree-constraints-to-svstmts x-equiv)))
  :rule-classes :congruence)