Section Double_round_sqrt_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_sqrt_FLX :
forall choice1 choice2,
(2 * prec + 2 <= prec')%Z ->
forall x,
FLX_format beta prec x ->
round_round_eq (FLX_exp prec) (FLX_exp prec') choice1 choice2 (sqrt x).