(uri-cst-path-conc4 cst) → cstss
Function:
(defun uri-cst-path-conc4 (cst) (declare (xargs :guard (treep cst))) (declare (xargs :guard (and (uri-cst-matchp cst "path") (equal (uri-cst-path-conc? cst) 4)))) (let ((__function__ 'uri-cst-path-conc4)) (declare (ignorable __function__)) (tree-nonleaf->branches cst)))
Theorem:
(defthm tree-list-listp-of-uri-cst-path-conc4 (b* ((cstss (uri-cst-path-conc4 cst))) (tree-list-listp cstss)) :rule-classes :rewrite)
Theorem:
(defthm uri-cst-path-conc4-match (implies (and (uri-cst-matchp cst "path") (equal (uri-cst-path-conc? cst) 4)) (b* ((cstss (uri-cst-path-conc4 cst))) (uri-cst-list-list-conc-matchp cstss "path-rootless"))) :rule-classes :rewrite)
Theorem:
(defthm uri-cst-path-conc4-of-tree-fix-cst (equal (uri-cst-path-conc4 (tree-fix cst)) (uri-cst-path-conc4 cst)))
Theorem:
(defthm uri-cst-path-conc4-tree-equiv-congruence-on-cst (implies (tree-equiv cst cst-equiv) (equal (uri-cst-path-conc4 cst) (uri-cst-path-conc4 cst-equiv))) :rule-classes :congruence)