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Reference-internal

Reference-internal->get

Get the get field from a reference-internal.

Signature
(reference-internal->get x) → get
Arguments: x — Guard (referencep x).
Returns: get — Type (identifierp get).

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

Definitions and Theorems

Function: reference-internal->get$inline

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

Theorem: identifierp-of-reference-internal->get

(defthm identifierp-of-reference-internal->get
  (b* ((get (reference-internal->get$inline x)))
    (identifierp get))
  :rule-classes :rewrite)

Theorem: reference-internal->get$inline-of-reference-fix-x

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

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

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

Theorem: reference-internal->get-when-wrong-kind

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