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• Hid-tools

Vl-hidexpr-resolved-p

Determines if every index throughout a vl-hidexpr-p is resolved.

Signature

(vl-hidexpr-resolved-p x) → bool

Arguments

x — Guard (vl-hidexpr-p x).

Definitions and Theorems

Function: vl-hidexpr-resolved-p

(defun vl-hidexpr-resolved-p (x)
  (declare (xargs :guard (vl-hidexpr-p x)))
  (let ((__function__ 'vl-hidexpr-resolved-p))
    (declare (ignorable __function__))
    (vl-hidexpr-case x
                     :end t
                     :dot (and (vl-hidindex-resolved-p x.first)
                               (vl-hidexpr-resolved-p x.rest)))))

Theorem: vl-hidexpr-resolved-p-when-endp

(defthm vl-hidexpr-resolved-p-when-endp
  (implies (vl-hidexpr-case x :end)
           (vl-hidexpr-resolved-p x)))

Theorem: vl-hidexpr-resolved-p-of-vl-hidexpr-dot

(defthm vl-hidexpr-resolved-p-of-vl-hidexpr-dot
  (equal (vl-hidexpr-resolved-p (make-vl-hidexpr-dot :first first
                                                     :rest rest))
         (and (vl-hidindex-resolved-p first)
              (vl-hidexpr-resolved-p rest))))

Theorem: vl-hidexpr-resolved-p-implies-dot

(defthm vl-hidexpr-resolved-p-implies-dot
  (implies (and (vl-hidexpr-resolved-p x)
                (vl-hidexpr-case x :dot))
           (and (vl-hidindex-resolved-p (vl-hidexpr-dot->first x))
                (vl-hidexpr-resolved-p (vl-hidexpr-dot->rest x)))))

Theorem: vl-hidexpr-resolved-p-of-vl-hidexpr-fix-x

(defthm vl-hidexpr-resolved-p-of-vl-hidexpr-fix-x
  (equal (vl-hidexpr-resolved-p (vl-hidexpr-fix x))
         (vl-hidexpr-resolved-p x)))

Theorem: vl-hidexpr-resolved-p-vl-hidexpr-equiv-congruence-on-x

(defthm vl-hidexpr-resolved-p-vl-hidexpr-equiv-congruence-on-x
  (implies (vl-hidexpr-equiv x x-equiv)
           (equal (vl-hidexpr-resolved-p x)
                  (vl-hidexpr-resolved-p x-equiv)))
  :rule-classes :congruence)