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Grammar

Cst-expression-conc-rep-elem

Signature
(cst-expression-conc-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-expression-conc-rep-elem

(defun cst-expression-conc-rep-elem (abnf::cst)
  (declare (xargs :guard (abnf::treep abnf::cst)))
  (declare (xargs :guard (cst-matchp abnf::cst "expression")))
  (let ((__function__ 'cst-expression-conc-rep-elem))
    (declare (ignorable __function__))
    (abnf::tree-fix (nth 0
                         (cst-expression-conc-rep abnf::cst)))))

Theorem: treep-of-cst-expression-conc-rep-elem

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

Theorem: cst-expression-conc-rep-elem-match

(defthm cst-expression-conc-rep-elem-match
  (implies
       (cst-matchp abnf::cst "expression")
       (b* ((abnf::cst1 (cst-expression-conc-rep-elem abnf::cst)))
         (cst-matchp abnf::cst1 "addition-expression")))
  :rule-classes :rewrite)

Theorem: cst-expression-conc-rep-elem-of-tree-fix-cst

(defthm cst-expression-conc-rep-elem-of-tree-fix-cst
  (equal (cst-expression-conc-rep-elem (abnf::tree-fix abnf::cst))
         (cst-expression-conc-rep-elem abnf::cst)))

Theorem: cst-expression-conc-rep-elem-tree-equiv-congruence-on-cst

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