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• Sv::vl-expr.lisp

Vttree-add-constraints

Signature

(vttree-add-constraints x vttree &key ctx) → new-vttree

Arguments

x — Guard (sv::constraintlist-p x).

vttree — Guard (vttree-p vttree).

Returns

new-vttree — Type (vttree-p new-vttree).

Definitions and Theorems

Function: vttree-add-constraints-fn

(defun vttree-add-constraints-fn (x vttree ctx)
 (declare (xargs :guard (and (sv::constraintlist-p x)
                             (vttree-p vttree))))
 (let ((__function__ 'vttree-add-constraints))
  (declare (ignorable __function__))
  (if (atom x)
      (vttree-fix vttree)
   (vttree-join
     (if ctx (make-vttree-context
                  :ctx ctx
                  :subtree (make-vttree-constraints :constraints x))
       (make-vttree-constraints :constraints x))
     vttree))))

Theorem: vttree-p-of-vttree-add-constraints

(defthm vttree-p-of-vttree-add-constraints
  (b* ((new-vttree (vttree-add-constraints-fn x vttree ctx)))
    (vttree-p new-vttree))
  :rule-classes :rewrite)

Theorem: vttree->warnings-of-vttree-add-constraints

(defthm vttree->warnings-of-vttree-add-constraints
  (b* ((?new-vttree (vttree-add-constraints-fn x vttree ctx)))
    (equal (vttree->warnings new-vttree)
           (vttree->warnings vttree))))

Theorem: vttree->constraints-of-vttree-add-constraints

(defthm vttree->constraints-of-vttree-add-constraints
  (b* ((?new-vttree (vttree-add-constraints-fn x vttree ctx)))
    (equal (vttree->constraints new-vttree)
           (append (constraintlist-add-ctx x ctx)
                   (vttree->constraints vttree)))))

Theorem: vttree-add-constraints-fn-of-constraintlist-fix-x

(defthm vttree-add-constraints-fn-of-constraintlist-fix-x
  (equal (vttree-add-constraints-fn (sv::constraintlist-fix x)
                                    vttree ctx)
         (vttree-add-constraints-fn x vttree ctx)))

Theorem: vttree-add-constraints-fn-constraintlist-equiv-congruence-on-x

(defthm
     vttree-add-constraints-fn-constraintlist-equiv-congruence-on-x
  (implies (sv::constraintlist-equiv x x-equiv)
           (equal (vttree-add-constraints-fn x vttree ctx)
                  (vttree-add-constraints-fn x-equiv vttree ctx)))
  :rule-classes :congruence)

Theorem: vttree-add-constraints-fn-of-vttree-fix-vttree

(defthm vttree-add-constraints-fn-of-vttree-fix-vttree
  (equal (vttree-add-constraints-fn x (vttree-fix vttree)
                                    ctx)
         (vttree-add-constraints-fn x vttree ctx)))

Theorem: vttree-add-constraints-fn-vttree-equiv-congruence-on-vttree

(defthm vttree-add-constraints-fn-vttree-equiv-congruence-on-vttree
  (implies (vttree-equiv vttree vttree-equiv)
           (equal (vttree-add-constraints-fn x vttree ctx)
                  (vttree-add-constraints-fn x vttree-equiv ctx)))
  :rule-classes :congruence)