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• Abstract-hids

Vl-hidexpr->first

Get the leftmost vl-hidindex-p in a hid expression.

Signature

(vl-hidexpr->first x) → first

Arguments

x — Guard (vl-expr-p x).

Returns

first — Type (and (vl-expr-p first) (implies (vl-hidexpr-p x) (vl-hidindex-p first))) .

Examples:

foo           --> foo
foo.bar       --> foo
foo[3].bar    --> foo[3]
foo[3][4].bar --> foo[3][4]

Definitions and Theorems

Function: vl-hidexpr->first

(defun vl-hidexpr->first (x)
  (declare (xargs :guard (vl-expr-p x)))
  (declare (xargs :guard (vl-hidexpr-p x)))
  (let ((__function__ 'vl-hidexpr->first))
    (declare (ignorable __function__))
    (if (and (not (vl-atom-p x))
             (eq (vl-nonatom->op x) :vl-hid-dot))
        (first (vl-nonatom->args x))
      (vl-expr-fix x))))

Theorem: return-type-of-vl-hidexpr->first

(defthm return-type-of-vl-hidexpr->first
  (b* ((first (vl-hidexpr->first x)))
    (and (vl-expr-p first)
         (implies (vl-hidexpr-p x)
                  (vl-hidindex-p first))))
  :rule-classes :rewrite)

Theorem: vl-hidexpr->first-of-vl-expr-fix-x

(defthm vl-hidexpr->first-of-vl-expr-fix-x
  (equal (vl-hidexpr->first (vl-expr-fix x))
         (vl-hidexpr->first x)))

Theorem: vl-hidexpr->first-vl-expr-equiv-congruence-on-x

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