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Grammar

Cst-not-star-not-slash-conc1-rep-elem

Signature
(cst-not-star-not-slash-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-not-star-not-slash-conc1-rep-elem

(defun cst-not-star-not-slash-conc1-rep-elem (abnf::cst)
 (declare (xargs :guard (abnf::treep abnf::cst)))
 (declare
  (xargs :guard (and (cst-matchp abnf::cst "not-star-not-slash")
                     (equal (cst-not-star-not-slash-conc? abnf::cst)
                            1))))
 (abnf::tree-fix
      (nth 0
           (cst-not-star-not-slash-conc1-rep abnf::cst))))

Theorem: treep-of-cst-not-star-not-slash-conc1-rep-elem

(defthm treep-of-cst-not-star-not-slash-conc1-rep-elem
  (b*
    ((abnf::cst1 (cst-not-star-not-slash-conc1-rep-elem abnf::cst)))
    (abnf::treep abnf::cst1))
  :rule-classes :rewrite)

Theorem: cst-not-star-not-slash-conc1-rep-elem-match

(defthm cst-not-star-not-slash-conc1-rep-elem-match
 (implies
   (and (cst-matchp abnf::cst "not-star-not-slash")
        (equal (cst-not-star-not-slash-conc? abnf::cst)
               1))
   (b*
    ((abnf::cst1 (cst-not-star-not-slash-conc1-rep-elem abnf::cst)))
    (cst-matchp abnf::cst1 "input-character")))
 :rule-classes :rewrite)

Theorem: cst-not-star-not-slash-conc1-rep-elem-of-tree-fix-cst

(defthm cst-not-star-not-slash-conc1-rep-elem-of-tree-fix-cst
 (equal
  (cst-not-star-not-slash-conc1-rep-elem (abnf::tree-fix abnf::cst))
  (cst-not-star-not-slash-conc1-rep-elem abnf::cst)))

Theorem: cst-not-star-not-slash-conc1-rep-elem-tree-equiv-congruence-on-cst

(defthm
 cst-not-star-not-slash-conc1-rep-elem-tree-equiv-congruence-on-cst
 (implies (abnf::tree-equiv abnf::cst cst-equiv)
          (equal (cst-not-star-not-slash-conc1-rep-elem abnf::cst)
                 (cst-not-star-not-slash-conc1-rep-elem cst-equiv)))
 :rule-classes :congruence)