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Grammar

Cst-definition-conc

Signature
(cst-definition-conc 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-definition-conc

(defun cst-definition-conc (abnf::cst)
  (declare (xargs :guard (abnf::treep abnf::cst)))
  (declare (xargs :guard (cst-matchp abnf::cst "definition")))
  (let ((__function__ 'cst-definition-conc))
    (declare (ignorable __function__))
    (abnf::tree-nonleaf->branches abnf::cst)))

Theorem: tree-list-listp-of-cst-definition-conc

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

Theorem: cst-definition-conc-match

(defthm cst-definition-conc-match
 (implies
  (cst-matchp abnf::cst "definition")
  (b* ((abnf::cstss (cst-definition-conc abnf::cst)))
   (cst-list-list-conc-matchp
    abnf::cstss
    "identifier \"(\" [ identifier *( \",\" identifier ) ] \")\" \":=\" \"{\" [ constraint *( \",\" constraint ) ] \"}\"")))
 :rule-classes :rewrite)

Theorem: cst-definition-conc-of-tree-fix-cst

(defthm cst-definition-conc-of-tree-fix-cst
  (equal (cst-definition-conc (abnf::tree-fix abnf::cst))
         (cst-definition-conc abnf::cst)))

Theorem: cst-definition-conc-tree-equiv-congruence-on-cst

(defthm cst-definition-conc-tree-equiv-congruence-on-cst
  (implies (abnf::tree-equiv abnf::cst cst-equiv)
           (equal (cst-definition-conc abnf::cst)
                  (cst-definition-conc cst-equiv)))
  :rule-classes :congruence)