Remark select_loc_l_monotone:
forall l q1 q2,
OrderedEquation'.eq q1 q2 \/ OrderedEquation'.lt q1 q2 ->
select_loc_l l q1 = true -> select_loc_l l q2 = true.
Remark select_loc_h_monotone:
forall l q1 q2,
OrderedEquation'.eq q1 q2 \/ OrderedEquation'.lt q2 q1 ->
select_loc_h l q1 = true -> select_loc_h l q2 = true.
Remark select_loc_charact:
forall l q,
select_loc_l l q = false \/ select_loc_h l q = false <-> Loc.diff l (eloc q).

Lemma loc_unconstrained_sound:
forall l e q,
loc_unconstrained l e = true ->
EqSet.In q e ->
Loc.diff l (eloc q).