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

Theorem round_round_plus_FLX :
forall choice1 choice2,
(2 * prec + 1 <= prec')%Z ->
forall x y,
FLX_format beta prec x -> FLX_format beta prec y ->
round_round_eq (FLX_exp prec) (FLX_exp prec') choice1 choice2 (x + y).