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Grammar-old

Ocst-statement-conc9

Signature
(ocst-statement-conc9 abnf::cst) → abnf::cstss
Arguments: abnf::cst — Guard (abnf::treep abnf::cst).
Returns: abnf::cstss — Type (abnf::tree-list-listp abnf::cstss).

Definitions and Theorems

Function: ocst-statement-conc9

(defun ocst-statement-conc9 (abnf::cst)
 (declare (xargs :guard (abnf::treep abnf::cst)))
 (declare (xargs :guard (and (ocst-matchp abnf::cst "statement")
                             (equal (ocst-statement-conc? abnf::cst)
                                    9))))
 (let ((__function__ 'ocst-statement-conc9))
   (declare (ignorable __function__))
   (abnf::tree-nonleaf->branches abnf::cst)))

Theorem: tree-list-listp-of-ocst-statement-conc9

(defthm tree-list-listp-of-ocst-statement-conc9
  (b* ((abnf::cstss (ocst-statement-conc9 abnf::cst)))
    (abnf::tree-list-listp abnf::cstss))
  :rule-classes :rewrite)

Theorem: ocst-statement-conc9-match

(defthm ocst-statement-conc9-match
  (implies
       (and (ocst-matchp abnf::cst "statement")
            (equal (ocst-statement-conc? abnf::cst)
                   9))
       (b* ((abnf::cstss (ocst-statement-conc9 abnf::cst)))
         (ocst-list-list-conc-matchp abnf::cstss "breakcontinue")))
  :rule-classes :rewrite)

Theorem: ocst-statement-conc9-of-tree-fix-cst

(defthm ocst-statement-conc9-of-tree-fix-cst
  (equal (ocst-statement-conc9 (abnf::tree-fix abnf::cst))
         (ocst-statement-conc9 abnf::cst)))

Theorem: ocst-statement-conc9-tree-equiv-congruence-on-cst

(defthm ocst-statement-conc9-tree-equiv-congruence-on-cst
  (implies (abnf::tree-equiv abnf::cst cst-equiv)
           (equal (ocst-statement-conc9 abnf::cst)
                  (ocst-statement-conc9 cst-equiv)))
  :rule-classes :congruence)