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Syntax-abstraction

Abs-struct-component-declarations

Abstract a struct-component-declarations to a list of compdecl.

Signature
(abs-struct-component-declarations tree) → ret-comps
Arguments: tree — Guard (abnf::treep tree).
Returns: ret-comps — Type (compdecl-list-resultp ret-comps).

Definitions and Theorems

Function: abs-struct-component-declarations

(defun abs-struct-component-declarations (tree)
  (declare (xargs :guard (abnf::treep tree)))
  (let ((__function__ 'abs-struct-component-declarations))
    (declare (ignorable __function__))
    (b* (((okf (abnf::tree-list-tuple3 sub))
          (abnf::check-tree-nonleaf-3
               tree "struct-component-declarations"))
         ((okf tree)
          (abnf::check-tree-list-1 sub.1st))
         ((okf comp)
          (abs-struct-component-declaration tree))
         ((okf comps)
          (abs-*-comma-struct-component-declaration sub.2nd))
         ((okf tree)
          (abnf::check-tree-list-1 sub.3rd))
         ((okf &) (check-?-comma tree)))
      (cons comp comps))))

Theorem: compdecl-list-resultp-of-abs-struct-component-declarations

(defthm compdecl-list-resultp-of-abs-struct-component-declarations
  (b* ((ret-comps (abs-struct-component-declarations tree)))
    (compdecl-list-resultp ret-comps))
  :rule-classes :rewrite)

Theorem: compdecl-listp-of-abs-struct-component-declarations

(defthm compdecl-listp-of-abs-struct-component-declarations
  (b* ((?ret-comps (abs-struct-component-declarations tree)))
    (implies (not (reserrp ret-comps))
             (compdecl-listp ret-comps))))

Theorem: abs-struct-component-declarations-of-tree-fix-tree

(defthm abs-struct-component-declarations-of-tree-fix-tree
  (equal (abs-struct-component-declarations (abnf::tree-fix tree))
         (abs-struct-component-declarations tree)))

Theorem: abs-struct-component-declarations-tree-equiv-congruence-on-tree

(defthm
    abs-struct-component-declarations-tree-equiv-congruence-on-tree
  (implies (abnf::tree-equiv tree tree-equiv)
           (equal (abs-struct-component-declarations tree)
                  (abs-struct-component-declarations tree-equiv)))
  :rule-classes :congruence)