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

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