(vl-plainarglist-weirdint-elim x warnings) → (mv warnings changedp new-x)
Function:
(defun vl-plainarglist-weirdint-elim (x warnings) (declare (xargs :guard (and (vl-plainarglist-p x) (vl-warninglist-p warnings)))) (let ((__function__ 'vl-plainarglist-weirdint-elim)) (declare (ignorable __function__)) (b* (((when (atom x)) (mv (ok) nil nil)) ((mv warnings car-changedp car-prime) (vl-plainarg-weirdint-elim (car x) warnings)) ((mv warnings cdr-changedp cdr-prime) (vl-plainarglist-weirdint-elim (cdr x) warnings)) (changedp (or car-changedp cdr-changedp)) (x-prime (if changedp (cons car-prime cdr-prime) (vl-plainarglist-fix x)))) (mv warnings changedp x-prime))))
Theorem:
(defthm vl-warninglist-p-of-vl-plainarglist-weirdint-elim.warnings (b* (((mv ?warnings ?changedp ?new-x) (vl-plainarglist-weirdint-elim x warnings))) (vl-warninglist-p warnings)) :rule-classes :rewrite)
Theorem:
(defthm booleanp-of-vl-plainarglist-weirdint-elim.changedp (b* (((mv ?warnings ?changedp ?new-x) (vl-plainarglist-weirdint-elim x warnings))) (booleanp changedp)) :rule-classes :type-prescription)
Theorem:
(defthm vl-plainarglist-p-of-vl-plainarglist-weirdint-elim.new-x (b* (((mv ?warnings ?changedp ?new-x) (vl-plainarglist-weirdint-elim x warnings))) (vl-plainarglist-p new-x)) :rule-classes :rewrite)
Theorem:
(defthm vl-plainarglist-weirdint-elim-of-vl-plainarglist-fix-x (equal (vl-plainarglist-weirdint-elim (vl-plainarglist-fix x) warnings) (vl-plainarglist-weirdint-elim x warnings)))
Theorem:
(defthm vl-plainarglist-weirdint-elim-vl-plainarglist-equiv-congruence-on-x (implies (vl-plainarglist-equiv x x-equiv) (equal (vl-plainarglist-weirdint-elim x warnings) (vl-plainarglist-weirdint-elim x-equiv warnings))) :rule-classes :congruence)
Theorem:
(defthm vl-plainarglist-weirdint-elim-of-vl-warninglist-fix-warnings (equal (vl-plainarglist-weirdint-elim x (vl-warninglist-fix warnings)) (vl-plainarglist-weirdint-elim x warnings)))
Theorem:
(defthm vl-plainarglist-weirdint-elim-vl-warninglist-equiv-congruence-on-warnings (implies (vl-warninglist-equiv warnings warnings-equiv) (equal (vl-plainarglist-weirdint-elim x warnings) (vl-plainarglist-weirdint-elim x warnings-equiv))) :rule-classes :congruence)