		Search-engine friendly clone of the ACL2 documentation.

Object/data-data

Object/data-data->get

Get the get field from a object/data-data.

Signature
(object/data-data->get x) → get
Arguments: x — Guard (object/data-p x).
Returns: get — Type (data-item-p get).

This is an ordinary field accessor created by fty::defprod.

Definitions and Theorems

Function: object/data-data->get$inline

(defun object/data-data->get$inline (x)
  (declare (xargs :guard (object/data-p x)))
  (declare (xargs :guard (equal (object/data-kind x) :data)))
  (let ((__function__ 'object/data-data->get))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (object/data-kind x) :data)
                      x)))
           (data-item-fix (std::da-nth 0 (cdr x))))
         :exec (std::da-nth 0 (cdr x)))))

Theorem: data-item-p-of-object/data-data->get

(defthm data-item-p-of-object/data-data->get
  (b* ((get (object/data-data->get$inline x)))
    (data-item-p get))
  :rule-classes :rewrite)

Theorem: object/data-data->get$inline-of-object/data-fix-x

(defthm object/data-data->get$inline-of-object/data-fix-x
  (equal (object/data-data->get$inline (object/data-fix x))
         (object/data-data->get$inline x)))

Theorem: object/data-data->get$inline-object/data-equiv-congruence-on-x

(defthm
     object/data-data->get$inline-object/data-equiv-congruence-on-x
  (implies (object/data-equiv x x-equiv)
           (equal (object/data-data->get$inline x)
                  (object/data-data->get$inline x-equiv)))
  :rule-classes :congruence)

Theorem: object/data-data->get-when-wrong-kind

(defthm object/data-data->get-when-wrong-kind
  (implies (not (equal (object/data-kind x) :data))
           (equal (object/data-data->get x)
                  (data-item-fix nil))))