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• Abstract-hids

Vl-hidindex->indices

For instance, bar[3][4][5] → (3 4 5).

Signature

(vl-hidindex->indices x) → indices

Arguments

x — Guard (vl-expr-p x).

Returns

indices — Type (vl-exprlist-p indices).

Definitions and Theorems

Function: vl-hidindex->indices$inline

(defun vl-hidindex->indices$inline (x)
  (declare (xargs :guard (vl-expr-p x)))
  (declare (xargs :guard (vl-hidindex-p x)))
  (let ((__function__ 'vl-hidindex->indices))
    (declare (ignorable __function__))
    (mbe :logic
         (b* (((when (vl-atom-p x)) nil)
              ((vl-nonatom x) x))
           (append (vl-hidindex->indices (first x.args))
                   (list (vl-expr-fix (second x.args)))))
         :exec (vl-hidindex->indices-exec x nil))))

Theorem: vl-exprlist-p-of-vl-hidindex->indices

(defthm vl-exprlist-p-of-vl-hidindex->indices
  (b* ((indices (vl-hidindex->indices$inline x)))
    (vl-exprlist-p indices))
  :rule-classes :rewrite)

Theorem: vl-hidindex->indices-when-vl-atom-p

(defthm vl-hidindex->indices-when-vl-atom-p
  (implies (vl-atom-p x)
           (equal (vl-hidindex->indices x) nil)))

Theorem: vl-exprlist-count-of-vl-hidindex->indices-weak

(defthm vl-exprlist-count-of-vl-hidindex->indices-weak
  (implies (vl-hidindex-p x)
           (<= (vl-exprlist-count (vl-hidindex->indices x))
               (vl-expr-count x)))
  :rule-classes ((:rewrite) (:linear)))

Theorem: vl-exprlist-count-of-vl-hidindex->indices-strong

(defthm vl-exprlist-count-of-vl-hidindex->indices-strong
  (implies (and (vl-hidindex-p x)
                (not (vl-atom-p x)))
           (< (vl-exprlist-count (vl-hidindex->indices x))
              (vl-expr-count x)))
  :rule-classes ((:rewrite) (:linear)))

Theorem: vl-hidindex->indices$inline-of-vl-expr-fix-x

(defthm vl-hidindex->indices$inline-of-vl-expr-fix-x
  (equal (vl-hidindex->indices$inline (vl-expr-fix x))
         (vl-hidindex->indices$inline x)))

Theorem: vl-hidindex->indices$inline-vl-expr-equiv-congruence-on-x

(defthm vl-hidindex->indices$inline-vl-expr-equiv-congruence-on-x
  (implies (vl-expr-equiv x x-equiv)
           (equal (vl-hidindex->indices$inline x)
                  (vl-hidindex->indices$inline x-equiv)))
  :rule-classes :congruence)

Subtopics

Vl-hidindex->indices-exec