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• Abstract-hids

Vl-indexexpr->scopeexpr

Signature

(vl-indexexpr->scopeexpr x) → scopeexpr

Arguments

x — Guard (vl-expr-p x).

Returns

scopeexpr — Type (vl-expr-p scopeexpr).

Definitions and Theorems

Function: vl-indexexpr->scopeexpr

(defun vl-indexexpr->scopeexpr (x)
  (declare (xargs :guard (vl-expr-p x)))
  (declare (xargs :guard (vl-indexexpr-p x)))
  (let ((__function__ 'vl-indexexpr->scopeexpr))
    (declare (ignorable __function__))
    (b* ((x (vl-expr-fix x))
         ((when (vl-atom-p x)) x)
         ((vl-nonatom x))
         ((when (or (vl-op-equiv x.op :vl-index)
                    (vl-op-equiv x.op :vl-bitselect)))
          (vl-indexexpr->scopeexpr (first x.args))))
      x)))

Theorem: vl-expr-p-of-vl-indexexpr->scopeexpr

(defthm vl-expr-p-of-vl-indexexpr->scopeexpr
  (b* ((scopeexpr (vl-indexexpr->scopeexpr x)))
    (vl-expr-p scopeexpr))
  :rule-classes :rewrite)

Theorem: vl-scopeexpr-p-of-vl-indexexpr->scopeexpr

(defthm vl-scopeexpr-p-of-vl-indexexpr->scopeexpr
  (b* nil
    (implies (vl-indexexpr-p x)
             (vl-scopeexpr-p (vl-indexexpr->scopeexpr x)))))

Theorem: vl-indexexpr->scopeexpr-of-vl-expr-fix-x

(defthm vl-indexexpr->scopeexpr-of-vl-expr-fix-x
  (equal (vl-indexexpr->scopeexpr (vl-expr-fix x))
         (vl-indexexpr->scopeexpr x)))

Theorem: vl-indexexpr->scopeexpr-vl-expr-equiv-congruence-on-x

(defthm vl-indexexpr->scopeexpr-vl-expr-equiv-congruence-on-x
  (implies (vl-expr-equiv x x-equiv)
           (equal (vl-indexexpr->scopeexpr x)
                  (vl-indexexpr->scopeexpr x-equiv)))
  :rule-classes :congruence)