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Finalize-output

Finalize-output->reg

Get the reg field from a finalize-output.

Signature
(finalize-output->reg x) → reg
Arguments: x — Guard (finalizer-outputp x).
Returns: reg — Type (regaccessp reg).

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

Definitions and Theorems

Function: finalize-output->reg$inline

(defun finalize-output->reg$inline (x)
  (declare (xargs :guard (finalizer-outputp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'finalize-output->reg))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (regaccess-fix (cdr (std::da-nth 0 (cdr x)))))
         :exec (cdr (std::da-nth 0 (cdr x))))))

Theorem: regaccessp-of-finalize-output->reg

(defthm regaccessp-of-finalize-output->reg
  (b* ((reg (finalize-output->reg$inline x)))
    (regaccessp reg))
  :rule-classes :rewrite)

Theorem: finalize-output->reg$inline-of-finalize-output-fix-x

(defthm finalize-output->reg$inline-of-finalize-output-fix-x
  (equal (finalize-output->reg$inline (finalize-output-fix x))
         (finalize-output->reg$inline x)))

Theorem: finalize-output->reg$inline-finalize-output-equiv-congruence-on-x

(defthm
  finalize-output->reg$inline-finalize-output-equiv-congruence-on-x
  (implies (finalize-output-equiv x x-equiv)
           (equal (finalize-output->reg$inline x)
                  (finalize-output->reg$inline x-equiv)))
  :rule-classes :congruence)