proposition: Lemma Incl_M_R_unfolded_auxiliary_8: forall (a b c d:Q), d-c<>0 -> (d-c)*((b-a)*(-1 / 2 + (2 + 1) / 2))<=(d-c)*((d-c)*(1 / 2 + 1 / 2)) -> (b - a) / (d - c)<=1.
proof: Proof. intros a b c d Hdc; destruct (not_Qeq_inf _ _ Hdc); [ apply Incl_M_R_unfolded_auxiliary_82 | apply Incl_M_R_unfolded_auxiliary_81 ]; assumption. Qed.
imports: digits Raxioms RIneq QArithSternBrocot(R_addenda) Fourier_solvable_ineqs Bounded_M