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• Sv::vl-expr.lisp

Vl-convert-dollarsign-to-expr

Signature

(vl-convert-dollarsign-to-expr x dollar-expr) → new-x

Arguments

x — Guard (vl-expr-p x).

dollar-expr — Guard (vl-expr-p dollar-expr).

Returns

new-x — Type (vl-expr-p new-x).

Definitions and Theorems

Function: vl-convert-dollarsign-to-expr

(defun vl-convert-dollarsign-to-expr (x dollar-expr)
  (declare (xargs :guard (and (vl-expr-p x)
                              (vl-expr-p dollar-expr))))
  (let ((__function__ 'vl-convert-dollarsign-to-expr))
    (declare (ignorable __function__))
    (b* ((x (vl-expr-fix x))
         (dollar-expr (vl-expr-fix dollar-expr)))
      (vl-expr-case x :vl-special
                    (if (vl-specialkey-equiv x.key :vl-$)
                        dollar-expr
                      x)
                    :otherwise x))))

Theorem: vl-expr-p-of-vl-convert-dollarsign-to-expr

(defthm vl-expr-p-of-vl-convert-dollarsign-to-expr
  (b* ((new-x (vl-convert-dollarsign-to-expr x dollar-expr)))
    (vl-expr-p new-x))
  :rule-classes :rewrite)

Theorem: vl-expr-count-of-convert-dollarsign-to-expr

(defthm vl-expr-count-of-convert-dollarsign-to-expr
  (b* ((?new-x (vl-convert-dollarsign-to-expr x dollar-expr)))
    (< (vl-expr-count new-x)
       (+ (vl-expr-count dollar-expr)
          (vl-expr-count x))))
  :rule-classes :linear)

Theorem: vl-convert-dollarsign-to-expr-of-vl-expr-fix-x

(defthm vl-convert-dollarsign-to-expr-of-vl-expr-fix-x
  (equal (vl-convert-dollarsign-to-expr (vl-expr-fix x)
                                        dollar-expr)
         (vl-convert-dollarsign-to-expr x dollar-expr)))

Theorem: vl-convert-dollarsign-to-expr-vl-expr-equiv-congruence-on-x

(defthm vl-convert-dollarsign-to-expr-vl-expr-equiv-congruence-on-x
  (implies
       (vl-expr-equiv x x-equiv)
       (equal (vl-convert-dollarsign-to-expr x dollar-expr)
              (vl-convert-dollarsign-to-expr x-equiv dollar-expr)))
  :rule-classes :congruence)

Theorem: vl-convert-dollarsign-to-expr-of-vl-expr-fix-dollar-expr

(defthm vl-convert-dollarsign-to-expr-of-vl-expr-fix-dollar-expr
  (equal (vl-convert-dollarsign-to-expr x (vl-expr-fix dollar-expr))
         (vl-convert-dollarsign-to-expr x dollar-expr)))

Theorem: vl-convert-dollarsign-to-expr-vl-expr-equiv-congruence-on-dollar-expr

(defthm
 vl-convert-dollarsign-to-expr-vl-expr-equiv-congruence-on-dollar-expr
 (implies
      (vl-expr-equiv dollar-expr dollar-expr-equiv)
      (equal (vl-convert-dollarsign-to-expr x dollar-expr)
             (vl-convert-dollarsign-to-expr x dollar-expr-equiv)))
 :rule-classes :congruence)