(vl-initial-prohibit-incexprs-aux x warnings) → warnings-out
Function:
(defun vl-initial-prohibit-incexprs-aux (x warnings) (declare (xargs :guard (and (vl-initial-p x) (vl-warninglist-p warnings)))) (let ((__function__ 'vl-initial-prohibit-incexprs-aux)) (declare (ignorable __function__)) (b* (((vl-initial x) (vl-initial-fix x))) (b* ((warnings (vl-stmt-prohibit-incexprs x.stmt warnings))) warnings))))
Theorem:
(defthm vl-warninglist-p-of-vl-initial-prohibit-incexprs-aux (b* ((warnings-out (vl-initial-prohibit-incexprs-aux x warnings))) (vl-warninglist-p warnings-out)) :rule-classes :rewrite)
Theorem:
(defthm vl-initial-prohibit-incexprs-aux-of-vl-initial-fix-x (equal (vl-initial-prohibit-incexprs-aux (vl-initial-fix x) warnings) (vl-initial-prohibit-incexprs-aux x warnings)))
Theorem:
(defthm vl-initial-prohibit-incexprs-aux-vl-initial-equiv-congruence-on-x (implies (vl-initial-equiv x x-equiv) (equal (vl-initial-prohibit-incexprs-aux x warnings) (vl-initial-prohibit-incexprs-aux x-equiv warnings))) :rule-classes :congruence)
Theorem:
(defthm vl-initial-prohibit-incexprs-aux-of-vl-warninglist-fix-warnings (equal (vl-initial-prohibit-incexprs-aux x (vl-warninglist-fix warnings)) (vl-initial-prohibit-incexprs-aux x warnings)))
Theorem:
(defthm vl-initial-prohibit-incexprs-aux-vl-warninglist-equiv-congruence-on-warnings (implies (vl-warninglist-equiv warnings warnings-equiv) (equal (vl-initial-prohibit-incexprs-aux x warnings) (vl-initial-prohibit-incexprs-aux x warnings-equiv))) :rule-classes :congruence)