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Address

Svar-addr-p

An svar containing an address.

Signature
(svar-addr-p x) → *
Arguments: x — Guard (svar-p x).

Definitions and Theorems

Function: svar-addr-p

(defun svar-addr-p (x)
  (declare (xargs :guard (svar-p x)))
  (let ((__function__ 'svar-addr-p))
    (declare (ignorable __function__))
    (b* (((svar x)))
      (and (address-p x.name)
           (equal (loghead 8 x.bits) 0)))))

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

(defthm svar-addr-p-of-address->svar
  (svar-addr-p (address->svar x)))

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

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

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

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