proposition: Lemma anyQ_field_theory: field_theory zero one add mul sub opp anyQ.div inv eq.
proof: Proof. constructor. constructor; intros; qify; ring. exact neq_1_0. exact div_mul_inv. exact mul_inv_diag_l. Qed.
imports: Coq.QArith.QArith Bignums.SpecViaQ.QSig MathClasses.interfaces.abstract_algebra MathClasses.interfaces.orders MathClasses.interfaces.integers MathClasses.interfaces.rationals MathClasses.interfaces.additional_operations MathClasses.theory.rings MathClasses.theory.rationals