(vl-interfacelist-prohibit-incexprs x) → new-x
Function:
(defun vl-interfacelist-prohibit-incexprs (x) (declare (xargs :guard (vl-interfacelist-p x))) (let ((__function__ 'vl-interfacelist-prohibit-incexprs)) (declare (ignorable __function__)) (b* (((when (atom x)) (b* nil x)) (car (vl-interface-prohibit-incexprs (car x))) (cdr (vl-interfacelist-prohibit-incexprs (cdr x)))) (cons-with-hint car cdr x))))
Theorem:
(defthm vl-interfacelist-p-of-vl-interfacelist-prohibit-incexprs (b* ((new-x (vl-interfacelist-prohibit-incexprs x))) (vl-interfacelist-p new-x)) :rule-classes :rewrite)
Theorem:
(defthm vl-interfacelist-prohibit-incexprs-of-vl-interfacelist-fix-x (equal (vl-interfacelist-prohibit-incexprs (vl-interfacelist-fix x)) (vl-interfacelist-prohibit-incexprs x)))
Theorem:
(defthm vl-interfacelist-prohibit-incexprs-vl-interfacelist-equiv-congruence-on-x (implies (vl-interfacelist-equiv x x-equiv) (equal (vl-interfacelist-prohibit-incexprs x) (vl-interfacelist-prohibit-incexprs x-equiv))) :rule-classes :congruence)