Get the paren-nested-conds field from a priopt.
This is an ordinary field accessor created by fty::defprod.
Function:
(defun priopt->paren-nested-conds$inline (x) (declare (xargs :guard (prioptp x))) (declare (xargs :guard t)) (let ((__function__ 'priopt->paren-nested-conds)) (declare (ignorable __function__)) (mbe :logic (b* ((x (and t x))) (bool-fix (cdr (std::da-nth 1 x)))) :exec (cdr (std::da-nth 1 x)))))
Theorem:
(defthm booleanp-of-priopt->paren-nested-conds (b* ((paren-nested-conds (priopt->paren-nested-conds$inline x))) (booleanp paren-nested-conds)) :rule-classes :rewrite)
Theorem:
(defthm priopt->paren-nested-conds$inline-of-priopt-fix-x (equal (priopt->paren-nested-conds$inline (priopt-fix x)) (priopt->paren-nested-conds$inline x)))
Theorem:
(defthm priopt->paren-nested-conds$inline-priopt-equiv-congruence-on-x (implies (priopt-equiv x x-equiv) (equal (priopt->paren-nested-conds$inline x) (priopt->paren-nested-conds$inline x-equiv))) :rule-classes :congruence)