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Output-syntax-abstraction

Abs-output-item

Abstract an output-item to an input item.

Signature
(abs-output-item tree) → outitem
Arguments: tree — Guard (abnf::treep tree).
Returns: outitem — Type (output-item-resultp outitem).

Definitions and Theorems

Function: abs-output-item

(defun abs-output-item (tree)
  (declare (xargs :guard (abnf::treep tree)))
  (let ((__function__ 'abs-output-item))
    (declare (ignorable __function__))
    (b* (((okf (abnf::tree-list-tuple2 sub))
          (abnf::check-tree-nonleaf-2 tree "output-item"))
         ((okf tree)
          (abnf::check-tree-list-1 sub.1st))
         ((okf outexpr)
          (abs-output-expression tree))
         ((okf tree)
          (abnf::check-tree-list-1 sub.2nd))
         ((okf &)
          (abnf::check-tree-ichars tree ";")))
      (output-item outexpr))))

Theorem: output-item-resultp-of-abs-output-item

(defthm output-item-resultp-of-abs-output-item
  (b* ((outitem (abs-output-item tree)))
    (output-item-resultp outitem))
  :rule-classes :rewrite)

Theorem: abs-output-item-of-tree-fix-tree

(defthm abs-output-item-of-tree-fix-tree
  (equal (abs-output-item (abnf::tree-fix tree))
         (abs-output-item tree)))

Theorem: abs-output-item-tree-equiv-congruence-on-tree

(defthm abs-output-item-tree-equiv-congruence-on-tree
  (implies (abnf::tree-equiv tree tree-equiv)
           (equal (abs-output-item tree)
                  (abs-output-item tree-equiv)))
  :rule-classes :congruence)