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Input-syntax-abstraction

Abs-input-section

Abstract an input-section to an input section.

Signature
(abs-input-section tree) → insec
Arguments: tree — Guard (abnf::treep tree).
Returns: insec — Type (input-section-option-resultp insec).

Definitions and Theorems

Function: abs-input-section

(defun abs-input-section (tree)
  (declare (xargs :guard (abnf::treep tree)))
  (let ((__function__ 'abs-input-section))
    (declare (ignorable __function__))
    (b* (((okf (abnf::tree-list-tuple2 sub))
          (abnf::check-tree-nonleaf-2 tree "input-section"))
         ((okf tree)
          (abnf::check-tree-list-1 sub.1st))
         ((okf intitle) (abs-input-title tree))
         ((okf initems)
          (abs-*-input-item sub.2nd))
         ((unless (mbt (input-title-optionp intitle)))
          (reserrf :cannot-happen))
         ((when (null intitle)) nil))
      (make-input-section :title intitle
                          :items initems))))

Theorem: input-section-option-resultp-of-abs-input-section

(defthm input-section-option-resultp-of-abs-input-section
  (b* ((insec (abs-input-section tree)))
    (input-section-option-resultp insec))
  :rule-classes :rewrite)

Theorem: abs-input-section-of-tree-fix-tree

(defthm abs-input-section-of-tree-fix-tree
  (equal (abs-input-section (abnf::tree-fix tree))
         (abs-input-section tree)))

Theorem: abs-input-section-tree-equiv-congruence-on-tree

(defthm abs-input-section-tree-equiv-congruence-on-tree
  (implies (abnf::tree-equiv tree tree-equiv)
           (equal (abs-input-section tree)
                  (abs-input-section tree-equiv)))
  :rule-classes :congruence)