
theorem
  for V being RealLinearSpace, v1,v2 being VECTOR of V, L being
Linear_Combination of V st L is convex & Carrier(L) = {v1,v2} & v1 <> v2 holds
  L.v1 + L.v2 = 1 & L.v1 >= 0 & L.v2 >= 0 by Lm12;
