Compute sizes and types of expressions throughout a vl-initiallist-p.
(vl-initiallist-exprsize x ss warnings) → (mv successp warnings new-x)
Function:
(defun vl-initiallist-exprsize (x ss warnings) (declare (xargs :guard (and (vl-initiallist-p x) (vl-scopestack-p ss) (vl-warninglist-p warnings)))) (let ((__function__ 'vl-initiallist-exprsize)) (declare (ignorable __function__)) (b* (((when (atom x)) (mv t (ok) nil)) ((mv car-successp warnings car-prime) (vl-initial-exprsize (car x) ss warnings)) ((mv cdr-successp warnings cdr-prime) (vl-initiallist-exprsize (cdr x) ss warnings)) (successp (and car-successp cdr-successp)) (x-prime (cons car-prime cdr-prime))) (mv successp warnings x-prime))))
Theorem:
(defthm booleanp-of-vl-initiallist-exprsize.successp (b* (((mv ?successp ?warnings ?new-x) (vl-initiallist-exprsize x ss warnings))) (booleanp successp)) :rule-classes :type-prescription)
Theorem:
(defthm vl-warninglist-p-of-vl-initiallist-exprsize.warnings (b* (((mv ?successp ?warnings ?new-x) (vl-initiallist-exprsize x ss warnings))) (vl-warninglist-p warnings)) :rule-classes :rewrite)
Theorem:
(defthm vl-initiallist-p-of-vl-initiallist-exprsize.new-x (b* (((mv ?successp ?warnings ?new-x) (vl-initiallist-exprsize x ss warnings))) (vl-initiallist-p new-x)) :rule-classes :rewrite)
Theorem:
(defthm true-listp-of-vl-initiallist-exprsize (true-listp (mv-nth 2 (vl-initiallist-exprsize x ss warnings))) :rule-classes :type-prescription)
Theorem:
(defthm vl-initiallist-exprsize-of-vl-initiallist-fix-x (equal (vl-initiallist-exprsize (vl-initiallist-fix x) ss warnings) (vl-initiallist-exprsize x ss warnings)))
Theorem:
(defthm vl-initiallist-exprsize-vl-initiallist-equiv-congruence-on-x (implies (vl-initiallist-equiv x x-equiv) (equal (vl-initiallist-exprsize x ss warnings) (vl-initiallist-exprsize x-equiv ss warnings))) :rule-classes :congruence)
Theorem:
(defthm vl-initiallist-exprsize-of-vl-scopestack-fix-ss (equal (vl-initiallist-exprsize x (vl-scopestack-fix ss) warnings) (vl-initiallist-exprsize x ss warnings)))
Theorem:
(defthm vl-initiallist-exprsize-vl-scopestack-equiv-congruence-on-ss (implies (vl-scopestack-equiv ss ss-equiv) (equal (vl-initiallist-exprsize x ss warnings) (vl-initiallist-exprsize x ss-equiv warnings))) :rule-classes :congruence)
Theorem:
(defthm vl-initiallist-exprsize-of-vl-warninglist-fix-warnings (equal (vl-initiallist-exprsize x ss (vl-warninglist-fix warnings)) (vl-initiallist-exprsize x ss warnings)))
Theorem:
(defthm vl-initiallist-exprsize-vl-warninglist-equiv-congruence-on-warnings (implies (vl-warninglist-equiv warnings warnings-equiv) (equal (vl-initiallist-exprsize x ss warnings) (vl-initiallist-exprsize x ss warnings-equiv))) :rule-classes :congruence)