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• Sv::vl-expr.lisp

Vl-svex-keyval-default-lookup

Signature

(vl-svex-keyval-default-lookup x) → ans

Arguments

x — Guard (vl-svex-keyvallist-p x).

Returns

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

Definitions and Theorems

Function: vl-svex-keyval-default-lookup

(defun vl-svex-keyval-default-lookup (x)
  (declare (xargs :guard (vl-svex-keyvallist-p x)))
  (let ((__function__ 'vl-svex-keyval-default-lookup))
    (declare (ignorable __function__))
    (b* ((x (vl-svex-keyvallist-fix x))
         ((when (atom x)) nil)
         (key (caar x))
         ((when (vl-patternkey-case key :default))
          (cdar x)))
      (vl-svex-keyval-default-lookup (cdr x)))))

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

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

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

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

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

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

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

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