reserve V for RealLinearSpace;
reserve u,u1,u2,v,v1,v2,w,w1,y for VECTOR of V;
reserve a,a1,a2,b,b1,b2,c1,c2 for Real;
reserve x,z for set;
reserve p,p1,q,q1 for Element of Lambda(OASpace(V));
reserve POS for non empty ParOrtStr;

theorem Th20:
  the AffinStruct of AMSpace(V,w,y) = Lambda(OASpace(V))
proof
  set Y = OASpace(V);
  the carrier of Lambda(Y) = the carrier of V by Th16;
  hence thesis by Th17;
end;
