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Syntax-abstraction

Abs-variable-declaration

Abstract a variable-declaration to a variable declaration.

Signature
(abs-variable-declaration tree) → var
Arguments: tree — Guard (abnf::treep tree).
Returns: var — Type (vardecl-resultp var).

Definitions and Theorems

Function: abs-variable-declaration

(defun abs-variable-declaration (tree)
  (declare (xargs :guard (abnf::treep tree)))
  (let ((__function__ 'abs-variable-declaration))
    (declare (ignorable __function__))
    (b* (((okf (abnf::tree-list-tuple7 sub))
          (abnf::check-tree-nonleaf-7 tree "variable-declaration"))
         ((okf tree)
          (abnf::check-tree-list-1 sub.1st))
         ((okf &)
          (abnf::check-tree-schars tree "let"))
         ((okf tree)
          (abnf::check-tree-list-1 sub.2nd))
         ((okf id) (abs-identifier tree))
         ((okf tree)
          (abnf::check-tree-list-1 sub.3rd))
         ((okf &)
          (abnf::check-tree-ichars tree ":"))
         ((okf tree)
          (abnf::check-tree-list-1 sub.4th))
         ((okf type) (abs-type tree))
         ((okf tree)
          (abnf::check-tree-list-1 sub.5th))
         ((okf &)
          (abnf::check-tree-ichars tree "="))
         ((okf tree)
          (abnf::check-tree-list-1 sub.6th))
         ((okf expr) (abs-expression tree))
         ((okf tree)
          (abnf::check-tree-list-1 sub.7th))
         ((okf &)
          (abnf::check-tree-ichars tree ";")))
      (make-vardecl :name id
                    :type type
                    :init expr))))

Theorem: vardecl-resultp-of-abs-variable-declaration

(defthm vardecl-resultp-of-abs-variable-declaration
  (b* ((var (abs-variable-declaration tree)))
    (vardecl-resultp var))
  :rule-classes :rewrite)

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

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

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

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