End PerpBisect_2.
Hint Resolve perp_bisect_cong_1 perp_bisect_cong_2 : cong.
Section PerpBisect_3.
Context `{TnEQD:Tarski_neutral_dimensionless_with_decidable_point_equality}.

Lemma perp_mid_perp_bisect : forall A B C D,
Midpoint C A B -> Perp C D A B ->
Perp_bisect C D A B.