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Mappingdecl-result-ok

Mappingdecl-result-ok->get

Get the get field from a mappingdecl-result-ok.

Signature
(mappingdecl-result-ok->get acl2::x) → get
Arguments: acl2::x — Guard (mappingdecl-resultp acl2::x).
Returns: get — Type (mappingdeclp get).

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

Definitions and Theorems

Function: mappingdecl-result-ok->get$inline

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

Theorem: mappingdeclp-of-mappingdecl-result-ok->get

(defthm mappingdeclp-of-mappingdecl-result-ok->get
  (b* ((get (mappingdecl-result-ok->get$inline acl2::x)))
    (mappingdeclp get))
  :rule-classes :rewrite)

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

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

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

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

Theorem: mappingdecl-result-ok->get-when-wrong-kind

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