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Svtv

Svtv->labels

Get the labels field from a svtv.

Signature
(svtv->labels x) → labels
Arguments: x — Guard (svtv-p x).
Returns: labels — Type (symbol-listp labels).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: svtv->labels$inline

(defun svtv->labels$inline (x)
  (declare (xargs :guard (svtv-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'svtv->labels))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (acl2::symbol-list-fix (std::da-nth 14 x)))
         :exec (std::da-nth 14 x))))

Theorem: symbol-listp-of-svtv->labels

(defthm symbol-listp-of-svtv->labels
  (b* ((labels (svtv->labels$inline x)))
    (symbol-listp labels))
  :rule-classes :rewrite)

Theorem: svtv->labels$inline-of-svtv-fix-x

(defthm svtv->labels$inline-of-svtv-fix-x
  (equal (svtv->labels$inline (svtv-fix x))
         (svtv->labels$inline x)))

Theorem: svtv->labels$inline-svtv-equiv-congruence-on-x

(defthm svtv->labels$inline-svtv-equiv-congruence-on-x
  (implies (svtv-equiv x x-equiv)
           (equal (svtv->labels$inline x)
                  (svtv->labels$inline x-equiv)))
  :rule-classes :congruence)