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Grammar

Cst-statement-conc3

Signature
(cst-statement-conc3 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: cst-statement-conc3

(defun cst-statement-conc3 (abnf::cst)
  (declare (xargs :guard (abnf::treep abnf::cst)))
  (declare (xargs :guard (and (cst-matchp abnf::cst "statement")
                              (equal (cst-statement-conc? abnf::cst)
                                     3))))
  (let ((__function__ 'cst-statement-conc3))
    (declare (ignorable __function__))
    (abnf::tree-nonleaf->branches abnf::cst)))

Theorem: tree-list-listp-of-cst-statement-conc3

(defthm tree-list-listp-of-cst-statement-conc3
  (b* ((abnf::cstss (cst-statement-conc3 abnf::cst)))
    (abnf::tree-list-listp abnf::cstss))
  :rule-classes :rewrite)

Theorem: cst-statement-conc3-match

(defthm cst-statement-conc3-match
 (implies
     (and (cst-matchp abnf::cst "statement")
          (equal (cst-statement-conc? abnf::cst)
                 3))
     (b* ((abnf::cstss (cst-statement-conc3 abnf::cst)))
       (cst-list-list-conc-matchp abnf::cstss "if-then-statement")))
 :rule-classes :rewrite)

Theorem: cst-statement-conc3-of-tree-fix-cst

(defthm cst-statement-conc3-of-tree-fix-cst
  (equal (cst-statement-conc3 (abnf::tree-fix abnf::cst))
         (cst-statement-conc3 abnf::cst)))

Theorem: cst-statement-conc3-tree-equiv-congruence-on-cst

(defthm cst-statement-conc3-tree-equiv-congruence-on-cst
  (implies (abnf::tree-equiv abnf::cst cst-equiv)
           (equal (cst-statement-conc3 abnf::cst)
                  (cst-statement-conc3 cst-equiv)))
  :rule-classes :congruence)