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Finalization

Finalization->command

Get the command field from a finalization.

Signature
(finalization->command x) → command
Arguments: x — Guard (finalizationp x).
Returns: command — Type (finalize-commandp command).

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

Definitions and Theorems

Function: finalization->command$inline

(defun finalization->command$inline (x)
  (declare (xargs :guard (finalizationp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'finalization->command))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (finalize-command-fix (cdr (std::da-nth 0 (cdr x)))))
         :exec (cdr (std::da-nth 0 (cdr x))))))

Theorem: finalize-commandp-of-finalization->command

(defthm finalize-commandp-of-finalization->command
  (b* ((command (finalization->command$inline x)))
    (finalize-commandp command))
  :rule-classes :rewrite)

Theorem: finalization->command$inline-of-finalization-fix-x

(defthm finalization->command$inline-of-finalization-fix-x
  (equal (finalization->command$inline (finalization-fix x))
         (finalization->command$inline x)))

Theorem: finalization->command$inline-finalization-equiv-congruence-on-x

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