Class TOTAL-ORDER-RELATION

A relation R is an total-order if it is partial-order for which either R(x,y) or R(y,x) for every x or y in its exact-domain.
Subclass-Of: Partial-order-relation
Axioms:
(<=> (Total-Order-Relation ?R)
     (And (Partial-Order-Relation ?R)
          (=> (And (Instance-Of ?X (Exact-Domain ?R))
                   (Instance-Of ?Y (Exact-Domain ?R)))
              (Or (Holds ?R ?X ?Y) (Holds ?R ?Y ?X)))))