Section PerpBisect_3.
Context `{TnEQD:Tarski_neutral_dimensionless_with_decidable_point_equality}.

Lemma cong_mid_perp_bisect :
forall P Q A B,
P <> Q -> A <> B ->
Cong A P B P ->
Midpoint Q A B ->
Perp_bisect P Q A B.