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Vardecl-result-err

Vardecl-result-err->get

Get the get field from a vardecl-result-err.

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

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

Definitions and Theorems

Function: vardecl-result-err->get$inline

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

Theorem: reserrp-of-vardecl-result-err->get

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

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

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

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

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

Theorem: vardecl-result-err->get-when-wrong-kind

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