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