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Syntax-abstraction

Abs-file

Abstract a file to a file.

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

Definitions and Theorems

Function: abs-file

(defun abs-file (tree)
  (declare (xargs :guard (abnf::treep tree)))
  (let ((__function__ 'abs-file))
    (declare (ignorable __function__))
    (b* (((okf (abnf::tree-list-tuple2 sub))
          (abnf::check-tree-nonleaf-2 tree "file"))
         ((okf imports)
          (abs-*-import-declaration sub.1st))
         ((okf tree)
          (abnf::check-tree-list-1 sub.2nd))
         ((okf program)
          (abs-program-declaration tree)))
      (make-file :imports imports
                 :program program))))

Theorem: file-resultp-of-abs-file

(defthm file-resultp-of-abs-file
  (b* ((file (abs-file tree)))
    (file-resultp file))
  :rule-classes :rewrite)

Theorem: abs-file-of-tree-fix-tree

(defthm abs-file-of-tree-fix-tree
  (equal (abs-file (abnf::tree-fix tree))
         (abs-file tree)))

Theorem: abs-file-tree-equiv-congruence-on-tree

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