End PerpBisect_1.
Hint Resolve perp_bisect_perp : perp.
Section PerpBisect_2.
Context `{TnEQD:Tarski_neutral_dimensionless_with_decidable_point_equality}.

(* Specifications: *)
Lemma perp_bisect_cong_1 :
forall P Q A B,
Perp_bisect P Q A B ->
Cong A P B P.
Lemma perp_bisect_cong_2 :
forall P Q A B,
Perp_bisect P Q A B ->
Cong A Q B Q.