Require Export GeoCoq.Tarski_dev.Ch10_line_reflexivity_2.
Section PerpBisect_1.
Context `{TnEQD:Tarski_neutral_dimensionless_with_decidable_point_equality}.

(* Specifications: *)
Lemma perp_bisect_equiv_def :
forall P Q A B, Perp_bisect P Q A B <-> Perp_bisect_bis P Q A B.
Lemma perp_bisect_sym_1 :
forall P Q A B,
Perp_bisect P Q A B ->
Perp_bisect Q P A B.
Lemma perp_bisect_sym_2 :
forall P Q A B,
Perp_bisect P Q A B ->
Perp_bisect P Q B A.
Lemma perp_bisect_sym_3 : forall A B C D,
Perp_bisect A B C D ->
Perp_bisect B A D C.
Lemma perp_bisect_perp :
forall P Q A B,
Perp_bisect P Q A B ->
Perp P Q A B.