		Search-engine friendly clone of the ACL2 documentation.

Grammar

Cst-whitespace-conc1-rep-elem

Signature
(cst-whitespace-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-whitespace-conc1-rep-elem

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

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

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

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

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

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

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

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

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