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Grammar

Cst-lexeme-conc1-rep-elem

Signature
(cst-lexeme-conc1-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: cst-lexeme-conc1-rep-elem

(defun cst-lexeme-conc1-rep-elem (abnf::cst)
  (declare (xargs :guard (abnf::treep abnf::cst)))
  (declare (xargs :guard (and (cst-matchp abnf::cst "lexeme")
                              (equal (cst-lexeme-conc? abnf::cst)
                                     1))))
  (let ((__function__ 'cst-lexeme-conc1-rep-elem))
    (declare (ignorable __function__))
    (abnf::tree-fix (nth 0 (cst-lexeme-conc1-rep abnf::cst)))))

Theorem: treep-of-cst-lexeme-conc1-rep-elem

(defthm treep-of-cst-lexeme-conc1-rep-elem
  (b* ((abnf::cst1 (cst-lexeme-conc1-rep-elem abnf::cst)))
    (abnf::treep abnf::cst1))
  :rule-classes :rewrite)

Theorem: cst-lexeme-conc1-rep-elem-match

(defthm cst-lexeme-conc1-rep-elem-match
  (implies (and (cst-matchp abnf::cst "lexeme")
                (equal (cst-lexeme-conc? abnf::cst) 1))
           (b* ((abnf::cst1 (cst-lexeme-conc1-rep-elem abnf::cst)))
             (cst-matchp abnf::cst1 "token")))
  :rule-classes :rewrite)

Theorem: cst-lexeme-conc1-rep-elem-of-tree-fix-cst

(defthm cst-lexeme-conc1-rep-elem-of-tree-fix-cst
  (equal (cst-lexeme-conc1-rep-elem (abnf::tree-fix abnf::cst))
         (cst-lexeme-conc1-rep-elem abnf::cst)))

Theorem: cst-lexeme-conc1-rep-elem-tree-equiv-congruence-on-cst

(defthm cst-lexeme-conc1-rep-elem-tree-equiv-congruence-on-cst
  (implies (abnf::tree-equiv abnf::cst cst-equiv)
           (equal (cst-lexeme-conc1-rep-elem abnf::cst)
                  (cst-lexeme-conc1-rep-elem cst-equiv)))
  :rule-classes :congruence)