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Grammar

Cst-constraint-conc2

Signature
(cst-constraint-conc2 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-constraint-conc2

(defun cst-constraint-conc2 (abnf::cst)
 (declare (xargs :guard (abnf::treep abnf::cst)))
 (declare (xargs :guard (and (cst-matchp abnf::cst "constraint")
                             (equal (cst-constraint-conc? abnf::cst)
                                    2))))
 (let ((__function__ 'cst-constraint-conc2))
   (declare (ignorable __function__))
   (abnf::tree-nonleaf->branches abnf::cst)))

Theorem: tree-list-listp-of-cst-constraint-conc2

(defthm tree-list-listp-of-cst-constraint-conc2
  (b* ((abnf::cstss (cst-constraint-conc2 abnf::cst)))
    (abnf::tree-list-listp abnf::cstss))
  :rule-classes :rewrite)

Theorem: cst-constraint-conc2-match

(defthm cst-constraint-conc2-match
 (implies
   (and (cst-matchp abnf::cst "constraint")
        (equal (cst-constraint-conc? abnf::cst)
               2))
   (b* ((abnf::cstss (cst-constraint-conc2 abnf::cst)))
     (cst-list-list-conc-matchp abnf::cstss "relation-constraint")))
 :rule-classes :rewrite)

Theorem: cst-constraint-conc2-of-tree-fix-cst

(defthm cst-constraint-conc2-of-tree-fix-cst
  (equal (cst-constraint-conc2 (abnf::tree-fix abnf::cst))
         (cst-constraint-conc2 abnf::cst)))

Theorem: cst-constraint-conc2-tree-equiv-congruence-on-cst

(defthm cst-constraint-conc2-tree-equiv-congruence-on-cst
  (implies (abnf::tree-equiv abnf::cst cst-equiv)
           (equal (cst-constraint-conc2 abnf::cst)
                  (cst-constraint-conc2 cst-equiv)))
  :rule-classes :congruence)