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Funenv-result-err

Funenv-result-err->get

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

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

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

Definitions and Theorems

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

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

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

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

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

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

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

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

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

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