Function:
(defun http-cst-request-target-conc? (cst) (declare (xargs :guard (treep cst))) (declare (xargs :guard (http-cst-matchp cst "request-target"))) (let ((__function__ 'http-cst-request-target-conc?)) (declare (ignorable __function__)) (cond ((equal (tree-nonleaf->rulename? (nth 0 (nth 0 (tree-nonleaf->branches cst)))) (rulename "origin-form")) 1) ((equal (tree-nonleaf->rulename? (nth 0 (nth 0 (tree-nonleaf->branches cst)))) (rulename "absolute-form")) 2) ((equal (tree-nonleaf->rulename? (nth 0 (nth 0 (tree-nonleaf->branches cst)))) (rulename "authority-form")) 3) ((equal (tree-nonleaf->rulename? (nth 0 (nth 0 (tree-nonleaf->branches cst)))) (rulename "asterisk-form")) 4) (t (prog2$ (acl2::impossible) 1)))))
Theorem:
(defthm posp-of-http-cst-request-target-conc? (b* ((number (http-cst-request-target-conc? cst))) (posp number)) :rule-classes :rewrite)
Theorem:
(defthm http-cst-request-target-conc?-possibilities (b* ((number (http-cst-request-target-conc? cst))) (or (equal number 1) (equal number 2) (equal number 3) (equal number 4))) :rule-classes ((:forward-chaining :trigger-terms ((http-cst-request-target-conc? cst)))))
Theorem:
(defthm http-cst-request-target-conc?-of-tree-fix-cst (equal (http-cst-request-target-conc? (tree-fix cst)) (http-cst-request-target-conc? cst)))
Theorem:
(defthm http-cst-request-target-conc?-tree-equiv-congruence-on-cst (implies (tree-equiv cst cst-equiv) (equal (http-cst-request-target-conc? cst) (http-cst-request-target-conc? cst-equiv))) :rule-classes :congruence)
Theorem:
(defthm http-cst-request-target-conc?-1-iff-match-conc (implies (http-cst-matchp cst "request-target") (iff (equal (http-cst-request-target-conc? cst) 1) (http-cst-list-list-conc-matchp (tree-nonleaf->branches cst) "origin-form"))))
Theorem:
(defthm http-cst-request-target-conc?-2-iff-match-conc (implies (http-cst-matchp cst "request-target") (iff (equal (http-cst-request-target-conc? cst) 2) (http-cst-list-list-conc-matchp (tree-nonleaf->branches cst) "absolute-form"))))
Theorem:
(defthm http-cst-request-target-conc?-3-iff-match-conc (implies (http-cst-matchp cst "request-target") (iff (equal (http-cst-request-target-conc? cst) 3) (http-cst-list-list-conc-matchp (tree-nonleaf->branches cst) "authority-form"))))
Theorem:
(defthm http-cst-request-target-conc?-4-iff-match-conc (implies (http-cst-matchp cst "request-target") (iff (equal (http-cst-request-target-conc? cst) 4) (http-cst-list-list-conc-matchp (tree-nonleaf->branches cst) "asterisk-form"))))