Hypothesis (Hnb_steps : (1 < nb_steps)%Z).

Theorem inbetween_step_Hi_Mi_even :
forall x k l,
inbetween (start + Z2R k * step) (start + Z2R (k + 1) * step) x l ->
l <> loc_Exact ->
(2 * k = nb_steps)%Z ->
inbetween start (start + Z2R nb_steps * step) x (loc_Inexact Gt).