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Pointed-integers

Ulong-write

Representation of a write of a pointed type unsigned long.

Signature
(ulong-write x) → x
Arguments: x — Guard (ulongp x).
Returns: x — Type (star (ulongp x)).

Definitions and Theorems

Function: ulong-write

(defun ulong-write (x)
  (declare (xargs :guard (ulongp x)))
  (let ((__function__ 'ulong-write))
    (declare (ignorable __function__))
    (ulong-fix x)))

Theorem: return-type-of-ulong-write

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

Theorem: ulongp-of-ulong-write

(defthm ulongp-of-ulong-write
  (b* ((x (ulong-write x))) (ulongp x))
  :rule-classes :rewrite)

Theorem: ulong-write-of-ulong-fix-x

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

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

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