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• Sv::vl-expr.lisp

Vl-svex-keyval-index-lookup

Signature

(vl-svex-keyval-index-lookup n x) → ans

Arguments

n — Guard (integerp n).

x — Guard (vl-svex-keyvallist-p x).

Returns

ans — Type (implies ans (sv::svex-p ans)).

Definitions and Theorems

Function: vl-svex-keyval-index-lookup

(defun vl-svex-keyval-index-lookup (n x)
 (declare (xargs :guard (and (integerp n)
                             (vl-svex-keyvallist-p x))))
 (let ((__function__ 'vl-svex-keyval-index-lookup))
  (declare (ignorable __function__))
  (b*
   ((x (vl-svex-keyvallist-fix x))
    ((when (atom x)) nil)
    (key (caar x))
    ((when
      (vl-patternkey-case key
                          :expr (and (vl-expr-resolved-p key.key)
                                     (eql (vl-resolved->val key.key)
                                          (lifix n)))
                          :otherwise nil))
     (cdar x)))
   (vl-svex-keyval-index-lookup n (cdr x)))))

Theorem: return-type-of-vl-svex-keyval-index-lookup

(defthm return-type-of-vl-svex-keyval-index-lookup
  (b* ((ans (vl-svex-keyval-index-lookup n x)))
    (implies ans (sv::svex-p ans)))
  :rule-classes :rewrite)

Theorem: vars-of-vl-svex-keyval-index-lookup

(defthm vars-of-vl-svex-keyval-index-lookup
  (b* ((?ans (vl-svex-keyval-index-lookup n x)))
    (implies (and ans
                  (not (member v (vl-svex-keyvallist-vars x))))
             (not (member v (sv::svex-vars ans))))))

Theorem: vl-svex-keyval-index-lookup-of-ifix-n

(defthm vl-svex-keyval-index-lookup-of-ifix-n
  (equal (vl-svex-keyval-index-lookup (ifix n) x)
         (vl-svex-keyval-index-lookup n x)))

Theorem: vl-svex-keyval-index-lookup-int-equiv-congruence-on-n

(defthm vl-svex-keyval-index-lookup-int-equiv-congruence-on-n
  (implies (acl2::int-equiv n n-equiv)
           (equal (vl-svex-keyval-index-lookup n x)
                  (vl-svex-keyval-index-lookup n-equiv x)))
  :rule-classes :congruence)

Theorem: vl-svex-keyval-index-lookup-of-vl-svex-keyvallist-fix-x

(defthm vl-svex-keyval-index-lookup-of-vl-svex-keyvallist-fix-x
  (equal (vl-svex-keyval-index-lookup n (vl-svex-keyvallist-fix x))
         (vl-svex-keyval-index-lookup n x)))

Theorem: vl-svex-keyval-index-lookup-vl-svex-keyvallist-equiv-congruence-on-x

(defthm
 vl-svex-keyval-index-lookup-vl-svex-keyvallist-equiv-congruence-on-x
 (implies (vl-svex-keyvallist-equiv x x-equiv)
          (equal (vl-svex-keyval-index-lookup n x)
                 (vl-svex-keyval-index-lookup n x-equiv)))
 :rule-classes :congruence)