(http-cst-uri-host-conc3 cst) → cstss
Function:
(defun http-cst-uri-host-conc3 (cst) (declare (xargs :guard (treep cst))) (declare (xargs :guard (and (http-cst-matchp cst "uri-host") (equal (http-cst-uri-host-conc? cst) 3)))) (let ((__function__ 'http-cst-uri-host-conc3)) (declare (ignorable __function__)) (tree-nonleaf->branches cst)))
Theorem:
(defthm tree-list-listp-of-http-cst-uri-host-conc3 (b* ((cstss (http-cst-uri-host-conc3 cst))) (tree-list-listp cstss)) :rule-classes :rewrite)
Theorem:
(defthm http-cst-uri-host-conc3-match (implies (and (http-cst-matchp cst "uri-host") (equal (http-cst-uri-host-conc? cst) 3)) (b* ((cstss (http-cst-uri-host-conc3 cst))) (http-cst-list-list-conc-matchp cstss "reg-name"))) :rule-classes :rewrite)
Theorem:
(defthm http-cst-uri-host-conc3-of-tree-fix-cst (equal (http-cst-uri-host-conc3 (tree-fix cst)) (http-cst-uri-host-conc3 cst)))
Theorem:
(defthm http-cst-uri-host-conc3-tree-equiv-congruence-on-cst (implies (tree-equiv cst cst-equiv) (equal (http-cst-uri-host-conc3 cst) (http-cst-uri-host-conc3 cst-equiv))) :rule-classes :congruence)