Ltac anga_instance1 a A B C :=
assert(tempo_anga:= anga_const a A B);
match goal with
|H: Q_CongA_Acute a |-  _ => assert(tempo_H:= H); apply tempo_anga in tempo_H; ex_elim tempo_H C
end;
clear tempo_anga.
Section Angles_5.
Context `{TnEQD:Tarski_neutral_dimensionless_with_decidable_point_equality}.

Lemma out_out_anga : forall a A B C A' B' C', Q_CongA_Acute a -> Out B A C -> Out B' A' C' -> a A B C -> a A' B' C'.