
theorem
  for I being non degenerated domRing-like commutative Ring holds the
  carrier of the_Field_of_Quotients(I) = Quot.I & the addF of
the_Field_of_Quotients(I) = quotadd(I) & the multF of the_Field_of_Quotients(I)
= quotmult(I) & 0.the_Field_of_Quotients(I) = q0.I & 1.the_Field_of_Quotients(I
  ) = q1.I;
