Section TriangleMidpointsTheorems.
Context `{TE:Tarski_euclidean}.

Lemma triangle_mid_par_strict_cong_aux : forall A B C P Q R,
~Col A B C ->
Midpoint P B C ->
Midpoint Q A C ->
Midpoint R A B ->
Par_strict A B Q P  /\ Cong A R P Q /\ Cong B R P Q.