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Representation-of-integers

Uint-fix

Fixer for values of type unsigned int.

Signature
(uint-fix x) → fixed-x
Arguments: x — Guard (uintp x).
Returns: fixed-x — Type (uintp fixed-x).

Definitions and Theorems

Function: uint-fix

(defun uint-fix (x)
  (declare (xargs :guard (uintp x)))
  (let ((__function__ 'uint-fix))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((get (uint-integer-fix (std::da-nth 0 (cdr x)))))
           (cons :uint (list get)))
         :exec x)))

Theorem: uintp-of-uint-fix

(defthm uintp-of-uint-fix
  (b* ((fixed-x (uint-fix x)))
    (uintp fixed-x))
  :rule-classes :rewrite)

Theorem: uint-fix-when-uintp

(defthm uint-fix-when-uintp
  (implies (uintp x)
           (equal (uint-fix x) x)))