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

Lemma FLT_round_round_sqrt_hyp :
(emin <= 0)%Z ->
((emin' <= emin - prec - 2)%Z
\/ (2 * emin' <= emin - 4 * prec - 2)%Z) ->
(2 * prec + 2 <= prec')%Z ->
round_round_sqrt_hyp (FLT_exp emin prec) (FLT_exp emin' prec').