Global Instance IncidL_morphism' : Proper(eq ==> EqL ==> iff) IncidL.Global Instance IncidP_morphism' : Proper(eq ==> EqP ==> iff) IncidP.

(* Specifications: *)
Lemma colH_permut_231 : forall A B C, ColH A B C -> ColH B C A.
Lemma colH_permut_312 : forall A B C, ColH A B C -> ColH C A B.
Lemma colH_permut_213 : forall A B C, ColH A B C -> ColH B A C.
Lemma colH_permut_132 : forall A B C, ColH A B C -> ColH A C B.
Lemma colH_permut_321 : forall A B C, ColH A B C -> ColH C B A.
Lemma other_point_exists : forall A: Point, exists B, A <> B.
Lemma colH_trivial111 : forall A, ColH A A A.
Lemma colH_trivial112 : forall A B, ColH A A B.
Lemma colH_trivial122 : forall A B, ColH A B B.
Lemma colH_trivial121 : forall A B, ColH A B A.