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Grammar-old

Ocst-case-conc

Signature
(ocst-case-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: ocst-case-conc

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

Theorem: tree-list-listp-of-ocst-case-conc

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

Theorem: ocst-case-conc-match

(defthm ocst-case-conc-match
  (implies (ocst-matchp abnf::cst "case")
           (b* ((abnf::cstss (ocst-case-conc abnf::cst)))
             (ocst-list-list-conc-matchp
                  abnf::cstss "%s\"case\" literal block")))
  :rule-classes :rewrite)

Theorem: ocst-case-conc-of-tree-fix-cst

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

Theorem: ocst-case-conc-tree-equiv-congruence-on-cst

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