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