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Syntax-abstraction

Abs-constant-declaration

Abstract a constant-declaration to a constant declaration.

Signature
(abs-constant-declaration tree) → const
Arguments: tree — Guard (abnf::treep tree).
Returns: const — Type (constdecl-resultp const).

Definitions and Theorems

Function: abs-constant-declaration

(defun abs-constant-declaration (tree)
  (declare (xargs :guard (abnf::treep tree)))
  (let ((__function__ 'abs-constant-declaration))
    (declare (ignorable __function__))
    (b* (((okf (abnf::tree-list-tuple7 sub))
          (abnf::check-tree-nonleaf-7 tree "constant-declaration"))
         ((okf tree)
          (abnf::check-tree-list-1 sub.1st))
         ((okf &)
          (abnf::check-tree-schars tree "const"))
         ((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-constdecl :name id
                      :type type
                      :init expr))))

Theorem: constdecl-resultp-of-abs-constant-declaration

(defthm constdecl-resultp-of-abs-constant-declaration
  (b* ((const (abs-constant-declaration tree)))
    (constdecl-resultp const))
  :rule-classes :rewrite)

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

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

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

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