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• Logior
• Logops-recursive-definitions-theory

Logior*

Recursive definition of logior.

Definitions and Theorems

Theorem: logior*

(defthm logior*
  (implies (and (force (integerp i))
                (force (integerp j)))
           (equal (logior i j)
                  (logcons (b-ior (logcar i) (logcar j))
                           (logior (logcdr i) (logcdr j)))))
  :rule-classes
  ((:definition :clique (binary-logior)
                :controller-alist ((binary-logior t t)))))