Section TriangleMidpointsTheorems.
Context `{TE:Tarski_euclidean}.

Lemma triangle_mid_par_flat_cong_aux : forall A B C P Q R,
B <> A ->
Col A B C ->
Midpoint P B C ->
Midpoint Q A C ->
Midpoint R A B ->
Par A B Q P /\ Cong A R P Q /\ Cong B R P Q.