proposition: Theorem round_round_div_FLX : forall choice1 choice2, (exists n, (beta = 2 * n :> Z)%Z) -> (2 * prec <= prec')%Z -> forall x y, y <> 0 -> FLX_format beta prec x -> FLX_format beta prec y -> round_round_eq (FLX_exp prec) (FLX_exp prec') choice1 choice2 (x / y).
proof: Proof. intros choice1 choice2 Ebeta Hprec x y Nzy Fx Fy. apply round_round_div. - now apply FLX_exp_valid. - now apply FLX_exp_valid. - exact Ebeta. - now apply FLX_round_round_div_hyp. - exact Nzy. - now apply generic_format_FLX. - now apply generic_format_FLX. Qed.
imports: Coq(ZArith Reals Psatz) Core FTZ