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Jcbody-element-member

Jcbody-element-member->get

Get the get field from a jcbody-element-member.

Signature
(jcbody-element-member->get x) → get
Arguments: x — Guard (jcbody-element-p x).
Returns: get — Type (jcmemberp get).

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

Definitions and Theorems

Function: jcbody-element-member->get$inline

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

Theorem: jcmemberp-of-jcbody-element-member->get

(defthm jcmemberp-of-jcbody-element-member->get
  (b* ((get (jcbody-element-member->get$inline x)))
    (jcmemberp get))
  :rule-classes :rewrite)

Theorem: jcbody-element-member->get$inline-of-jcbody-element-fix-x

(defthm jcbody-element-member->get$inline-of-jcbody-element-fix-x
  (equal (jcbody-element-member->get$inline (jcbody-element-fix x))
         (jcbody-element-member->get$inline x)))

Theorem: jcbody-element-member->get$inline-jcbody-element-equiv-congruence-on-x

(defthm
 jcbody-element-member->get$inline-jcbody-element-equiv-congruence-on-x
 (implies (jcbody-element-equiv x x-equiv)
          (equal (jcbody-element-member->get$inline x)
                 (jcbody-element-member->get$inline x-equiv)))
 :rule-classes :congruence)

Theorem: jcbody-element-member->get-when-wrong-kind

(defthm jcbody-element-member->get-when-wrong-kind
  (implies (not (equal (jcbody-element-kind x) :member))
           (equal (jcbody-element-member->get x)
                  (jcmember-fix nil))))