Notation format := (generic_format beta (FLX_exp prec)).Notation cexp := (canonic_exp beta (FLX_exp prec)).

(* Specifications: *)
Theorem div_error_FLX : forall rnd { Zrnd : Valid_rnd rnd } x y, format x -> format y -> format (x - round beta (FLX_exp prec) rnd (x/y) * y)%R.
Theorem sqrt_error_FLX_N : forall x, format x -> format (x - Rsqr (round beta (FLX_exp prec) (Znearest choice) (sqrt x)))%R.
Theorem div_error_FLX : forall rnd { Zrnd : Valid_rnd rnd } x y, format x -> format y -> format (x - round beta (FLX_exp prec) rnd (x/y) * y)%R.
Theorem sqrt_error_FLX_N : forall x, format x -> format (x - Rsqr (round beta (FLX_exp prec) (Znearest choice) (sqrt x)))%R.