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Name-list-result-ok

Name-list-result-ok->get

Get the get field from a name-list-result-ok.

Signature
(name-list-result-ok->get acl2::x) → get
Arguments: acl2::x — Guard (name-list-resultp acl2::x).
Returns: get — Type (name-listp get).

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

Definitions and Theorems

Function: name-list-result-ok->get$inline

(defun name-list-result-ok->get$inline (acl2::x)
  (declare (xargs :guard (name-list-resultp acl2::x)))
  (declare (xargs :guard (equal (name-list-result-kind acl2::x)
                                :ok)))
  (let ((__function__ 'name-list-result-ok->get))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((acl2::x (and (equal (name-list-result-kind acl2::x)
                                   :ok)
                            acl2::x)))
           (name-list-fix acl2::x))
         :exec acl2::x)))

Theorem: name-listp-of-name-list-result-ok->get

(defthm name-listp-of-name-list-result-ok->get
  (b* ((get (name-list-result-ok->get$inline acl2::x)))
    (name-listp get))
  :rule-classes :rewrite)

Theorem: name-list-result-ok->get$inline-of-name-list-result-fix-x

(defthm name-list-result-ok->get$inline-of-name-list-result-fix-x
 (equal
    (name-list-result-ok->get$inline (name-list-result-fix acl2::x))
    (name-list-result-ok->get$inline acl2::x)))

Theorem: name-list-result-ok->get$inline-name-list-result-equiv-congruence-on-x

(defthm
 name-list-result-ok->get$inline-name-list-result-equiv-congruence-on-x
 (implies (name-list-result-equiv acl2::x x-equiv)
          (equal (name-list-result-ok->get$inline acl2::x)
                 (name-list-result-ok->get$inline x-equiv)))
 :rule-classes :congruence)

Theorem: name-list-result-ok->get-when-wrong-kind

(defthm name-list-result-ok->get-when-wrong-kind
  (implies (not (equal (name-list-result-kind acl2::x)
                       :ok))
           (equal (name-list-result-ok->get acl2::x)
                  (name-list-fix nil))))