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Vl-maybe-usertype-resolve

Signature

(vl-maybe-usertype-resolve x) → new-x

Arguments

x — Guard (vl-datatype-p x).

Returns

new-x — Type (vl-datatype-p new-x).

Definitions and Theorems

Function: vl-maybe-usertype-resolve

(defun vl-maybe-usertype-resolve (x)
  (declare (xargs :guard (vl-datatype-p x)))
  (declare (xargs :guard (vl-datatype-resolved-p x)))
  (let ((__function__ 'vl-maybe-usertype-resolve))
    (declare (ignorable __function__))
    (b* ((x (vl-datatype-fix x))
         ((when (or (consp (vl-datatype->pdims x))
                    (consp (vl-datatype->udims x))))
          x))
      (vl-datatype-case x :vl-usertype
                        (if x.res (vl-maybe-usertype-resolve x.res)
                          x)
                        :otherwise x))))

Theorem: vl-datatype-p-of-vl-maybe-usertype-resolve

(defthm vl-datatype-p-of-vl-maybe-usertype-resolve
  (b* ((new-x (vl-maybe-usertype-resolve x)))
    (vl-datatype-p new-x))
  :rule-classes :rewrite)

Theorem: vl-datatype-count-of-vl-maybe-usertype-resolve

(defthm vl-datatype-count-of-vl-maybe-usertype-resolve
  (b* ((?new-x (vl-maybe-usertype-resolve x)))
    (<= (vl-datatype-count new-x)
        (vl-datatype-count x)))
  :rule-classes :linear)

Theorem: vl-datatype-resolved-p-of-vl-maybe-usertype-resolve

(defthm vl-datatype-resolved-p-of-vl-maybe-usertype-resolve
  (b* ((?new-x (vl-maybe-usertype-resolve x)))
    (implies (vl-datatype-resolved-p x)
             (vl-datatype-resolved-p new-x))))

Theorem: not-usertype-of-vl-maybe-usertype-resolve

(defthm not-usertype-of-vl-maybe-usertype-resolve
  (b* ((?new-x (vl-maybe-usertype-resolve x)))
    (implies (and (not (consp (vl-datatype->pdims new-x)))
                  (not (consp (vl-datatype->udims new-x)))
                  (vl-datatype-resolved-p x))
             (not (equal (vl-datatype-kind new-x)
                         :vl-usertype))))
  :rule-classes
  ((:forward-chaining
        :trigger-terms
        ((vl-datatype-kind (vl-maybe-usertype-resolve x))))))

Theorem: vl-maybe-usertype-resolve-of-vl-datatype-fix-x

(defthm vl-maybe-usertype-resolve-of-vl-datatype-fix-x
  (equal (vl-maybe-usertype-resolve (vl-datatype-fix x))
         (vl-maybe-usertype-resolve x)))

Theorem: vl-maybe-usertype-resolve-vl-datatype-equiv-congruence-on-x

(defthm vl-maybe-usertype-resolve-vl-datatype-equiv-congruence-on-x
  (implies (vl-datatype-equiv x x-equiv)
           (equal (vl-maybe-usertype-resolve x)
                  (vl-maybe-usertype-resolve x-equiv)))
  :rule-classes :congruence)