Get the sub field from a svl-aliasdb.
(svl-aliasdb->sub x) → sub
This is an ordinary field accessor created by fty::defprod.
Function:
(defun svl-aliasdb->sub$inline (x) (declare (xargs :guard (svl-aliasdb-p x))) (declare (xargs :guard t)) (let ((acl2::__function__ 'svl-aliasdb->sub)) (declare (ignorable acl2::__function__)) (mbe :logic (b* ((x (and t x))) (svl-aliasdb-alist-fix (std::da-nth 1 x))) :exec (std::da-nth 1 x))))
Theorem:
(defthm svl-aliasdb-alist-p-of-svl-aliasdb->sub (b* ((sub (svl-aliasdb->sub$inline x))) (svl-aliasdb-alist-p sub)) :rule-classes :rewrite)
Theorem:
(defthm svl-aliasdb->sub$inline-of-svl-aliasdb-fix-x (equal (svl-aliasdb->sub$inline (svl-aliasdb-fix x)) (svl-aliasdb->sub$inline x)))
Theorem:
(defthm svl-aliasdb->sub$inline-svl-aliasdb-equiv-congruence-on-x (implies (svl-aliasdb-equiv x x-equiv) (equal (svl-aliasdb->sub$inline x) (svl-aliasdb->sub$inline x-equiv))) :rule-classes :congruence)