		Search-engine friendly clone of the ACL2 documentation.

Syntax-abstraction

Abs-program-declaration

Abstract a program-declaration to a programdecl.

Signature
(abs-program-declaration tree) → decl
Arguments: tree — Guard (abnf::treep tree).
Returns: decl — Type (programdecl-resultp decl).

Definitions and Theorems

Function: abs-program-declaration

(defun abs-program-declaration (tree)
  (declare (xargs :guard (abnf::treep tree)))
  (let ((__function__ 'abs-program-declaration))
    (declare (ignorable __function__))
    (b* (((okf (abnf::tree-list-tuple5 sub))
          (abnf::check-tree-nonleaf-5 tree "program-declaration"))
         ((okf tree)
          (abnf::check-tree-list-1 sub.1st))
         ((okf &)
          (abnf::check-tree-schars tree "program"))
         ((okf tree)
          (abnf::check-tree-list-1 sub.2nd))
         ((okf id) (abs-program-id tree))
         ((okf tree)
          (abnf::check-tree-list-1 sub.3rd))
         ((okf &)
          (abnf::check-tree-ichars tree "{"))
         ((okf items)
          (abs-*-program-item sub.4th))
         ((okf tree)
          (abnf::check-tree-list-1 sub.5th))
         ((okf &)
          (abnf::check-tree-ichars tree "}")))
      (make-programdecl :id id
                        :items items))))

Theorem: programdecl-resultp-of-abs-program-declaration

(defthm programdecl-resultp-of-abs-program-declaration
  (b* ((decl (abs-program-declaration tree)))
    (programdecl-resultp decl))
  :rule-classes :rewrite)

Theorem: abs-program-declaration-of-tree-fix-tree

(defthm abs-program-declaration-of-tree-fix-tree
  (equal (abs-program-declaration (abnf::tree-fix tree))
         (abs-program-declaration tree)))

Theorem: abs-program-declaration-tree-equiv-congruence-on-tree

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