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Pointed-integers

Uint-write

Representation of a write of a pointed type unsigned int.

Signature
(uint-write x) → x
Arguments: x — Guard (uintp x).
Returns: x — Type (star (uintp x)).

Definitions and Theorems

Function: uint-write

(defun uint-write (x)
  (declare (xargs :guard (uintp x)))
  (let ((__function__ 'uint-write))
    (declare (ignorable __function__))
    (uint-fix x)))

Theorem: return-type-of-uint-write

(defthm return-type-of-uint-write
  (b* ((x (uint-write x)))
    (star (uintp x)))
  :rule-classes :rewrite)

Theorem: uintp-of-uint-write

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

Theorem: uint-write-of-uint-fix-x

(defthm uint-write-of-uint-fix-x
  (equal (uint-write (uint-fix x))
         (uint-write x)))

Theorem: uint-write-uint-equiv-congruence-on-x

(defthm uint-write-uint-equiv-congruence-on-x
  (implies (uint-equiv x x-equiv)
           (equal (uint-write x)
                  (uint-write x-equiv)))
  :rule-classes :congruence)