Get the get field from a proof-list-outcome-assertions.
(proof-list-outcome-assertions->get x) → get
This is an ordinary field accessor created by fty::defprod.
Function:
(defun proof-list-outcome-assertions->get$inline (x) (declare (xargs :guard (proof-list-outcomep x))) (declare (xargs :guard (equal (proof-list-outcome-kind x) :assertions))) (let ((__function__ 'proof-list-outcome-assertions->get)) (declare (ignorable __function__)) (mbe :logic (b* ((x (and (equal (proof-list-outcome-kind x) :assertions) x))) (assertion-list-fix (std::da-nth 0 (cdr x)))) :exec (std::da-nth 0 (cdr x)))))
Theorem:
(defthm assertion-listp-of-proof-list-outcome-assertions->get (b* ((get (proof-list-outcome-assertions->get$inline x))) (assertion-listp get)) :rule-classes :rewrite)
Theorem:
(defthm proof-list-outcome-assertions->get$inline-of-proof-list-outcome-fix-x (equal (proof-list-outcome-assertions->get$inline (proof-list-outcome-fix x)) (proof-list-outcome-assertions->get$inline x)))
Theorem:
(defthm proof-list-outcome-assertions->get$inline-proof-list-outcome-equiv-congruence-on-x (implies (proof-list-outcome-equiv x x-equiv) (equal (proof-list-outcome-assertions->get$inline x) (proof-list-outcome-assertions->get$inline x-equiv))) :rule-classes :congruence)
Theorem:
(defthm proof-list-outcome-assertions->get-when-wrong-kind (implies (not (equal (proof-list-outcome-kind x) :assertions)) (equal (proof-list-outcome-assertions->get x) (assertion-list-fix nil))))