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Syntax-abstraction

Abstract-num-val

A num-val parse tree is abstracted to its corresponding numeric value notation.

Signature
(abstract-num-val tree) → num-val
Arguments: tree — Guard (treep tree).
Returns: num-val — Type (num-val-p num-val).

Definitions and Theorems

Function: abstract-num-val

(defun abstract-num-val (tree)
  (declare (xargs :guard (treep tree)))
  (b* (((fun (fail))
        (prog2$ (abstract-fail)
                (num-val-direct (num-base-bin) nil)))
       ((unless (tree-case tree :nonleaf))
        (fail))
       (treess (tree-nonleaf->branches tree))
       ((unless (and (consp treess)
                     (consp (cdr treess))))
        (fail))
       (trees (cadr treess))
       ((unless (consp trees)) (fail))
       (subtree (car trees)))
    (abstract-bin/dec/hex-val subtree)))

Theorem: num-val-p-of-abstract-num-val

(defthm num-val-p-of-abstract-num-val
  (b* ((num-val (abstract-num-val tree)))
    (num-val-p num-val))
  :rule-classes :rewrite)