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Syntax-abstraction

Abs-variable-or-free-constant

Abstract a variable-or-free-constant to an identifier.

Signature
(abs-variable-or-free-constant tree) → ret-id
Arguments: tree — Guard (abnf::treep tree).
Returns: ret-id — Type (identifier-resultp ret-id).

Definitions and Theorems

Function: abs-variable-or-free-constant

(defun abs-variable-or-free-constant (tree)
 (declare (xargs :guard (abnf::treep tree)))
 (let ((__function__ 'abs-variable-or-free-constant))
  (declare (ignorable __function__))
  (b* (((okf tree)
        (abnf::check-tree-nonleaf-1-1
             tree "variable-or-free-constant"))
       ((okf rulename?)
        (abnf::check-tree-nonleaf? tree)))
   (cond
    ((equal rulename? "identifier")
     (b* (((okf id) (abs-identifier tree)))
       id))
    (t
     (reserrf
        (list :found-subtree (abnf::tree-info-for-error tree))))))))

Theorem: identifier-resultp-of-abs-variable-or-free-constant

(defthm identifier-resultp-of-abs-variable-or-free-constant
  (b* ((ret-id (abs-variable-or-free-constant tree)))
    (identifier-resultp ret-id))
  :rule-classes :rewrite)

Theorem: abs-variable-or-free-constant-of-tree-fix-tree

(defthm abs-variable-or-free-constant-of-tree-fix-tree
  (equal (abs-variable-or-free-constant (abnf::tree-fix tree))
         (abs-variable-or-free-constant tree)))

Theorem: abs-variable-or-free-constant-tree-equiv-congruence-on-tree

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