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Address

Svar-addr-fix

Signature
(svar-addr-fix x) → x
Arguments: x — Guard (svar-p x).
Returns: x — Type (and (svar-p x) (svar-addr-p x)).

Definitions and Theorems

Function: svar-addr-fix

(defun svar-addr-fix (x)
  (declare (xargs :guard (svar-p x)))
  (declare (xargs :guard (svar-addr-p x)))
  (let ((__function__ 'svar-addr-fix))
    (declare (ignorable __function__))
    (mbe :logic
         (if (svar-addr-p x)
             (svar-fix x)
           (change-svar x
                        :name (svar->address x)
                        :bits (logand -256 (svar->bits x))))
         :exec x)))

Theorem: return-type-of-svar-addr-fix

(defthm return-type-of-svar-addr-fix
  (b* ((x (svar-addr-fix x)))
    (and (svar-p x) (svar-addr-p x)))
  :rule-classes :rewrite)

Theorem: svar-addr-fix-when-svar-addr-p

(defthm svar-addr-fix-when-svar-addr-p
  (implies (svar-addr-p x)
           (equal (svar-addr-fix x) (svar-fix x))))

Theorem: svar->address-of-svar-addr-fix

(defthm svar->address-of-svar-addr-fix
  (equal (svar->address (svar-addr-fix x))
         (svar->address x)))

Theorem: svar-addr-fix-of-svar-fix-x

(defthm svar-addr-fix-of-svar-fix-x
  (equal (svar-addr-fix (svar-fix x))
         (svar-addr-fix x)))

Theorem: svar-addr-fix-svar-equiv-congruence-on-x

(defthm svar-addr-fix-svar-equiv-congruence-on-x
  (implies (svar-equiv x x-equiv)
           (equal (svar-addr-fix x)
                  (svar-addr-fix x-equiv)))
  :rule-classes :congruence)