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Reference-value-pointer

Reference-value-pointer->get

Get the get field from a reference-value-pointer.

Signature
(reference-value-pointer->get x) → get
Arguments: x — Guard (reference-valuep x).
Returns: get — Type (pointerp get).

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

Definitions and Theorems

Function: reference-value-pointer->get$inline

(defun reference-value-pointer->get$inline (x)
  (declare (xargs :guard (reference-valuep x)))
  (declare (xargs :guard (equal (reference-value-kind x)
                                :pointer)))
  (let ((__function__ 'reference-value-pointer->get))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (reference-value-kind x)
                             :pointer)
                      x)))
           (pointer-fix (std::da-nth 0 (cdr x))))
         :exec (std::da-nth 0 (cdr x)))))

Theorem: pointerp-of-reference-value-pointer->get

(defthm pointerp-of-reference-value-pointer->get
  (b* ((get (reference-value-pointer->get$inline x)))
    (pointerp get))
  :rule-classes :rewrite)

Theorem: reference-value-pointer->get$inline-of-reference-value-fix-x

(defthm reference-value-pointer->get$inline-of-reference-value-fix-x
  (equal
       (reference-value-pointer->get$inline (reference-value-fix x))
       (reference-value-pointer->get$inline x)))

Theorem: reference-value-pointer->get$inline-reference-value-equiv-congruence-on-x

(defthm
 reference-value-pointer->get$inline-reference-value-equiv-congruence-on-x
 (implies (reference-value-equiv x x-equiv)
          (equal (reference-value-pointer->get$inline x)
                 (reference-value-pointer->get$inline x-equiv)))
 :rule-classes :congruence)

Theorem: reference-value-pointer->get-when-wrong-kind

(defthm reference-value-pointer->get-when-wrong-kind
  (implies (not (equal (reference-value-kind x)
                       :pointer))
           (equal (reference-value-pointer->get x)
                  (pointer-fix nil))))