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Constraint-list-result-ok

Constraint-list-result-ok->get

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

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

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

Definitions and Theorems

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

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

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

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

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

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

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

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

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

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