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  • Multiplication is a function and divisibility is a relation, so in order to compare apples and apples, consider the 3-term relation M(x,y,z) := x*y=z and the axioms ???x:M(x,0,0) and ???x:???y:???u:???v:M(x,Sy,u)???M(x,y,v)???v+x=u and also the fact that M is a function ???x:???y:???u:???v:(M(x,y,u)???M(x,y,v))???u=v. Now D can be defined in terms of M by D(x,y) := ???z:M(z,x,y).
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