Lift check-alternative to lists.
(check-alternative-list alternatives ctxt) → (mv err? obligs)
Function:
(defun check-alternative-list (alternatives ctxt) (declare (xargs :guard (and (alternative-listp alternatives) (contextp ctxt)))) (declare (xargs :guard (and (null (context->functions ctxt)) (omap::emptyp (context->variables ctxt)) (null (context->obligation-vars ctxt)) (null (context->obligation-hyps ctxt))))) (let ((__function__ 'check-alternative-list)) (declare (ignorable __function__)) (b* (((when (endp alternatives)) (mv nil nil)) ((mv err? obligs) (check-alternative (car alternatives) ctxt)) ((when err?) (mv err? nil)) ((mv err? more-obligs) (check-alternative-list (cdr alternatives) ctxt)) ((when err?) (mv err? nil))) (mv nil (append obligs more-obligs)))))
Theorem:
(defthm proof-obligation-listp-of-check-alternative-list.obligs (b* (((mv ?err? ?obligs) (check-alternative-list alternatives ctxt))) (proof-obligation-listp obligs)) :rule-classes :rewrite)
Theorem:
(defthm check-alternative-list-of-alternative-list-fix-alternatives (equal (check-alternative-list (alternative-list-fix alternatives) ctxt) (check-alternative-list alternatives ctxt)))
Theorem:
(defthm check-alternative-list-alternative-list-equiv-congruence-on-alternatives (implies (alternative-list-equiv alternatives alternatives-equiv) (equal (check-alternative-list alternatives ctxt) (check-alternative-list alternatives-equiv ctxt))) :rule-classes :congruence)
Theorem:
(defthm check-alternative-list-of-context-fix-ctxt (equal (check-alternative-list alternatives (context-fix ctxt)) (check-alternative-list alternatives ctxt)))
Theorem:
(defthm check-alternative-list-context-equiv-congruence-on-ctxt (implies (context-equiv ctxt ctxt-equiv) (equal (check-alternative-list alternatives ctxt) (check-alternative-list alternatives ctxt-equiv))) :rule-classes :congruence)