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)abbrev category OASGP OrderedAbelianSemiGroup
++ Description:
++ Ordered sets which are also abelian semigroups, such that the addition
++ preserves the ordering.\br
++
++ Axiom\br
++ \tab{5} x < y => x+z < y+z

OrderedAbelianSemiGroup() : Category == SIG where

  SIG ==> Join(OrderedSet, AbelianSemiGroup)