proposition: Theorem relative_error_FLX_ex : forall x, exists eps, (Rabs eps < bpow (-prec + 1))%R /\ round beta (FLX_exp prec) rnd x = (x * (1 + eps))%R.
proof: Proof. Proof with auto with typeclass_instances. intros x. apply relative_error_lt_conversion... apply bpow_gt_0. now apply relative_error_FLX. Qed.
imports: Coq(ZArith Reals Psatz) Core