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Syntax-abstraction

Abs-comma-expression

Abstract a ( "," expression ) to an expression.

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

Definitions and Theorems

Function: abs-comma-expression

(defun abs-comma-expression (tree)
  (declare (xargs :guard (abnf::treep tree)))
  (let ((__function__ 'abs-comma-expression))
    (declare (ignorable __function__))
    (b* (((okf (abnf::tree-list-tuple2 sub))
          (check-tree-nonleaf-2 tree nil))
         ((okf tree) (check-tree-list-1 sub.1st))
         ((okf &) (check-tree-ichars tree ","))
         ((okf tree)
          (check-tree-list-1 sub.2nd)))
      (abs-expression tree))))

Theorem: expression-resultp-of-abs-comma-expression

(defthm expression-resultp-of-abs-comma-expression
  (b* ((expr (abs-comma-expression tree)))
    (expression-resultp expr))
  :rule-classes :rewrite)

Theorem: abs-comma-expression-of-tree-fix-tree

(defthm abs-comma-expression-of-tree-fix-tree
  (equal (abs-comma-expression (abnf::tree-fix tree))
         (abs-comma-expression tree)))

Theorem: abs-comma-expression-tree-equiv-congruence-on-tree

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