Section Double_round_div_FLX.
Variable prec : Z.
Variable prec' : Z.
Context { prec_gt_0_ : Prec_gt_0 prec }.
Context { prec_gt_0_' : Prec_gt_0 prec' }.

(* Specifications: *)
Lemma FLX_double_round_div_hyp :
(2 * prec <= prec')%Z ->
double_round_div_hyp (FLX_exp prec) (FLX_exp prec').
Theorem double_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 ->
double_round_eq (FLX_exp prec) (FLX_exp prec') choice1 choice2 (x / y).
Lemma FLX_double_round_div_hyp :
(2 * prec <= prec')%Z ->
double_round_div_hyp (FLX_exp prec) (FLX_exp prec').
Theorem double_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 ->
double_round_eq (FLX_exp prec) (FLX_exp prec') choice1 choice2 (x / y).