Ltac lg_instance l A B :=
assert(tempo_sg:= ex_points_lg l);
match goal with
|H: Q_Cong l |-  _ => assert(tempo_H:=H); apply tempo_sg in tempo_H; elim tempo_H; intros A ; let tempoHP := fresh "tempo_HP" in intro tempoHP; clear tempo_H; elim tempoHP; intro B; intro; clear tempoHP
end;
clear tempo_sg.
Section Length_2.
Context `{TnEQD:Tarski_neutral_dimensionless_with_decidable_point_equality}.

Lemma ex_point_lg_out : forall l A P, A <> P -> Q_Cong l -> ~ Q_Cong_Null l -> exists B, l A B /\ Out A B P.