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Value-list-result-err

Value-list-result-err->get

Get the get field from a value-list-result-err.

Signature
(value-list-result-err->get acl2::x) → get
Arguments: acl2::x — Guard (value-list-resultp acl2::x).
Returns: get — Type (reserrp get).

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

Definitions and Theorems

Function: value-list-result-err->get$inline

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

Theorem: reserrp-of-value-list-result-err->get

(defthm reserrp-of-value-list-result-err->get
  (b* ((get (value-list-result-err->get$inline acl2::x)))
    (reserrp get))
  :rule-classes :rewrite)

Theorem: value-list-result-err->get$inline-of-value-list-result-fix-x

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

Theorem: value-list-result-err->get$inline-value-list-result-equiv-congruence-on-x

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

Theorem: value-list-result-err->get-when-wrong-kind

(defthm value-list-result-err->get-when-wrong-kind
  (implies (not (equal (value-list-result-kind acl2::x)
                       :err))
           (equal (value-list-result-err->get acl2::x)
                  (fty::reserr-fix nil))))