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Abstract-dot/dash-1*hexdig

A ("." 1*HEXDIG) or ("-" 1*HEXDIG) parse tree is abstracted to the big-endian value of its hexadecimal digits.

Signature

(abstract-dot/dash-1*hexdig tree) → nat

Arguments

tree — Guard (treep tree).

Returns

nat — Type (natp nat).

Definitions and Theorems

Function: abstract-dot/dash-1*hexdig

(defun abstract-dot/dash-1*hexdig (tree)
  (declare (xargs :guard (treep tree)))
  (b* (((fun (fail))
        (prog2$ (abstract-fail) 0))
       ((unless (tree-case tree :nonleaf))
        (fail))
       (treess (tree-nonleaf->branches tree))
       ((unless (and (consp treess)
                     (consp (cdr treess))))
        (fail)))
    (abstract-*hexdig (cadr treess))))

Theorem: natp-of-abstract-dot/dash-1*hexdig

(defthm natp-of-abstract-dot/dash-1*hexdig
  (b* ((nat (abstract-dot/dash-1*hexdig tree)))
    (natp nat))
  :rule-classes :rewrite)