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Regaccess

Regaccess->base

Get the base field from a regaccess.

Signature
(regaccess->base x) → base
Arguments: x — Guard (regaccessp x).
Returns: base — Type (registerp base).

This is an ordinary field accessor created by fty::defprod.

Definitions and Theorems

Function: regaccess->base$inline

(defun regaccess->base$inline (x)
  (declare (xargs :guard (regaccessp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'regaccess->base))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (register-fix (cdr (std::da-nth 0 (cdr x)))))
         :exec (cdr (std::da-nth 0 (cdr x))))))

Theorem: registerp-of-regaccess->base

(defthm registerp-of-regaccess->base
  (b* ((base (regaccess->base$inline x)))
    (registerp base))
  :rule-classes :rewrite)

Theorem: regaccess->base$inline-of-regaccess-fix-x

(defthm regaccess->base$inline-of-regaccess-fix-x
  (equal (regaccess->base$inline (regaccess-fix x))
         (regaccess->base$inline x)))

Theorem: regaccess->base$inline-regaccess-equiv-congruence-on-x

(defthm regaccess->base$inline-regaccess-equiv-congruence-on-x
  (implies (regaccess-equiv x x-equiv)
           (equal (regaccess->base$inline x)
                  (regaccess->base$inline x-equiv)))
  :rule-classes :congruence)