proposition: Theorem round_round_div_rna_FLX : (prec <= prec')%Z -> forall x y, y <> 0 -> FLX_format beta prec x -> FLX_format beta prec y -> round beta (FLX_exp prec) ZnearestA (round beta (FLX_exp prec') ZnearestA (x / y)) = round beta (FLX_exp prec) ZnearestA (x / y).
proof: Proof. intros Hprec x y Nzy Fx Fy. apply round_round_div_beta_odd_rna. - now apply FLX_exp_valid. - now apply FLX_exp_valid. - intro ex; unfold FLX_exp; lia. - exact Nzy. - now apply generic_format_FLX. - now apply generic_format_FLX. Qed.
imports: Coq(ZArith Reals Psatz) Flocq(Core FTZ Double_rounding)