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• Nat-to-oct-string-size

Nat-to-oct-string-size-aux

Signature

(nat-to-oct-string-size-aux n) → size

Arguments

n — Guard (natp n).

Returns

size — Type (natp size).

Definitions and Theorems

Function: nat-to-oct-string-size-aux

(defun nat-to-oct-string-size-aux (n)
  (declare (xargs :guard (natp n)))
  (let ((acl2::__function__ 'nat-to-oct-string-size-aux))
    (declare (ignorable acl2::__function__))
    (if (zp n)
        0
      (+ 1
         (nat-to-oct-string-size-aux (ash n -3))))))

Theorem: natp-of-nat-to-oct-string-size-aux

(defthm natp-of-nat-to-oct-string-size-aux
  (b* ((size (nat-to-oct-string-size-aux n)))
    (natp size))
  :rule-classes :type-prescription)

Theorem: nat-to-oct-string-size-aux-redef

(defthm nat-to-oct-string-size-aux-redef
  (equal (nat-to-oct-string-size-aux n)
         (len (basic-nat-to-oct-chars n))))