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Grammar-old

Ocst-statement-conc9-rep-elem

Signature
(ocst-statement-conc9-rep-elem abnf::cst) → abnf::cst1
Arguments: abnf::cst — Guard (abnf::treep abnf::cst).
Returns: abnf::cst1 — Type (abnf::treep abnf::cst1).

Definitions and Theorems

Function: ocst-statement-conc9-rep-elem

(defun ocst-statement-conc9-rep-elem (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-rep-elem))
   (declare (ignorable __function__))
   (abnf::tree-fix (nth 0
                        (ocst-statement-conc9-rep abnf::cst)))))

Theorem: treep-of-ocst-statement-conc9-rep-elem

(defthm treep-of-ocst-statement-conc9-rep-elem
  (b* ((abnf::cst1 (ocst-statement-conc9-rep-elem abnf::cst)))
    (abnf::treep abnf::cst1))
  :rule-classes :rewrite)

Theorem: ocst-statement-conc9-rep-elem-match

(defthm ocst-statement-conc9-rep-elem-match
  (implies
       (and (ocst-matchp abnf::cst "statement")
            (equal (ocst-statement-conc? abnf::cst)
                   9))
       (b* ((abnf::cst1 (ocst-statement-conc9-rep-elem abnf::cst)))
         (ocst-matchp abnf::cst1 "breakcontinue")))
  :rule-classes :rewrite)

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

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

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

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