Get the get field from a system-result-ok.
(system-result-ok->get acl2::x) → get
This is an ordinary field accessor created by fty::defprod.
Function:
(defun system-result-ok->get$inline (acl2::x) (declare (xargs :guard (system-resultp acl2::x))) (declare (xargs :guard (equal (system-result-kind acl2::x) :ok))) (let ((__function__ 'system-result-ok->get)) (declare (ignorable __function__)) (mbe :logic (b* ((acl2::x (and (equal (system-result-kind acl2::x) :ok) acl2::x))) (system-fix acl2::x)) :exec acl2::x)))
Theorem:
(defthm systemp-of-system-result-ok->get (b* ((get (system-result-ok->get$inline acl2::x))) (systemp get)) :rule-classes :rewrite)
Theorem:
(defthm system-result-ok->get$inline-of-system-result-fix-x (equal (system-result-ok->get$inline (system-result-fix acl2::x)) (system-result-ok->get$inline acl2::x)))
Theorem:
(defthm system-result-ok->get$inline-system-result-equiv-congruence-on-x (implies (system-result-equiv acl2::x x-equiv) (equal (system-result-ok->get$inline acl2::x) (system-result-ok->get$inline x-equiv))) :rule-classes :congruence)
Theorem:
(defthm system-result-ok->get-when-wrong-kind (implies (not (equal (system-result-kind acl2::x) :ok)) (equal (system-result-ok->get acl2::x) (system-fix nil))))