proposition: Lemma DtoQ_slow_preserves_0 : DtoQ_slow' 0 = 0.
proof: Proof. unfold DtoQ_slow. simpl. rewrite rings.preserves_0. ring. Qed.
imports: Coq.setoid_ring.Ring MathClasses.interfaces.abstract_algebra MathClasses.interfaces.integers MathClasses.interfaces.naturals MathClasses.interfaces.rationals MathClasses.interfaces.additional_operations MathClasses.interfaces.orders MathClasses.orders.minmax MathClasses.orders.integers MathClasses.orders.rationals MathClasses.implementations.nonneg_integers_naturals MathClasses.implementations.stdlib_rationals MathClasses.theory.rationals MathClasses.theory.shiftl MathClasses.theory.int_pow MathClasses.theory.nat_pow MathClasses.theory.abs