proposition: Theorem relative_error_F2R_emin_ex : forall m, let x := F2R (Float beta m emin) in exists eps, (Rabs eps < bpow (-p + 1))%R /\ round beta fexp rnd x = (x * (1 + eps))%R.
proof: Proof. Proof with auto with typeclass_instances. intros m x. apply relative_error_lt_conversion... apply bpow_gt_0. now apply relative_error_F2R_emin. Qed.
imports: Coq(ZArith Reals Psatz) Core