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• Abstract-hids

Vl-hidindex-p

Recognizes well-formed index expressions into hierarchical identifier pieces, e.g., the bar[3][4][5] part of foo.bar[3][4][5].baz.

Signature

(vl-hidindex-p x) → bool

Arguments

x — Guard (vl-expr-p x).

Definitions and Theorems

Function: vl-hidindex-p

(defun vl-hidindex-p (x)
  (declare (xargs :guard (vl-expr-p x)))
  (let ((__function__ 'vl-hidindex-p))
    (declare (ignorable __function__))
    (b* (((when (vl-atom-p x)) (vl-hidname-p x))
         ((vl-nonatom x) x))
      (and (vl-op-equiv x.op :vl-index)
           (vl-hidindex-p (first x.args))))))

Theorem: vl-hidname-p-when-vl-hidindex-p

(defthm vl-hidname-p-when-vl-hidindex-p
  (implies (and (vl-hidindex-p x) (vl-atom-p x))
           (vl-hidname-p x)))

Theorem: vl-nonatom->op-when-vl-hidindex-p

(defthm vl-nonatom->op-when-vl-hidindex-p
  (implies (and (vl-hidindex-p x)
                (force (not (vl-atom-p x))))
           (equal (vl-nonatom->op x) :vl-index))
  :rule-classes ((:rewrite) (:forward-chaining)))

Theorem: arity-when-vl-hidindex-p

(defthm arity-when-vl-hidindex-p
  (implies (and (vl-hidindex-p x)
                (force (not (vl-atom-p x))))
           (equal (vl-op-arity (vl-nonatom->op x))
                  2)))

Theorem: len-of-vl-nonatom->args-when-vl-hidindex-p

(defthm len-of-vl-nonatom->args-when-vl-hidindex-p
  (implies (and (vl-hidindex-p x)
                (force (not (vl-atom-p x))))
           (and (equal (len (vl-nonatom->args x)) 2)
                (consp (vl-nonatom->args x))
                (consp (cdr (vl-nonatom->args x))))))

Theorem: vl-hidindex-p-of-vl-expr-fix-x

(defthm vl-hidindex-p-of-vl-expr-fix-x
  (equal (vl-hidindex-p (vl-expr-fix x))
         (vl-hidindex-p x)))

Theorem: vl-hidindex-p-vl-expr-equiv-congruence-on-x

(defthm vl-hidindex-p-vl-expr-equiv-congruence-on-x
  (implies (vl-expr-equiv x x-equiv)
           (equal (vl-hidindex-p x)
                  (vl-hidindex-p x-equiv)))
  :rule-classes :congruence)

Theorem: vl-hidindex-p-of-make-vl-atom

(defthm vl-hidindex-p-of-make-vl-atom
  (equal (vl-hidindex-p (make-vl-atom :guts guts
                                      :finalwidth finalwidth
                                      :finaltype finaltype))
         (or (vl-hidpiece-p (vl-atomguts-fix guts))
             (vl-id-p (vl-atomguts-fix guts)))))

Theorem: vl-hidindex-p-of-make-vl-nonatom

(defthm vl-hidindex-p-of-make-vl-nonatom
  (implies (force (vl-hidindex-p (first args)))
           (vl-hidindex-p (make-vl-nonatom :op :vl-index
                                           :args args
                                           :atts atts
                                           :finalwidth finalwidth
                                           :finaltype finaltype))))

Theorem: not-vl-hidindex-p-by-op

(defthm not-vl-hidindex-p-by-op
  (implies (and (not (eq (vl-nonatom->op x) :vl-index))
                (force (not (vl-atom-p x))))
           (not (vl-hidindex-p x))))

Theorem: vl-hidindex-p-of-first-of-vl-nonatom->args-when-vl-hidindex-p

(defthm
      vl-hidindex-p-of-first-of-vl-nonatom->args-when-vl-hidindex-p
  (implies (and (vl-hidindex-p x)
                (force (not (vl-atom-p x))))
           (vl-hidindex-p (first (vl-nonatom->args x)))))