		Search-engine friendly clone of the ACL2 documentation.

Pointed-integers

Ullong-write

Representation of a write of a pointed type unsigned long long.

Signature
(ullong-write x) → x
Arguments: x — Guard (ullongp x).
Returns: x — Type (star (ullongp x)).

Definitions and Theorems

Function: ullong-write

(defun ullong-write (x)
  (declare (xargs :guard (ullongp x)))
  (let ((__function__ 'ullong-write))
    (declare (ignorable __function__))
    (ullong-fix x)))

Theorem: return-type-of-ullong-write

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

Theorem: ullongp-of-ullong-write

(defthm ullongp-of-ullong-write
  (b* ((x (ullong-write x))) (ullongp x))
  :rule-classes :rewrite)

Theorem: ullong-write-of-ullong-fix-x

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

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

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