Definition CongruentStrictTriangles (A B C A' B' C' : Point) :=
	CongruentTriangles A B C A' B' C' /\
	~Collinear A B C.

Lemma CongruentStrictTrianglesASABC : forall A B C A' B' C' : Point, Distance B C = Distance B' C' -> Angle A B C = Angle A' B' C' -> Angle B C A = Angle B' C' A' -> ~Collinear A B C -> CongruentStrictTriangles A B C A' B' C'.