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

Lemma CongruentStrictTrianglesBC : forall A B C A' B' C' : Point, CongruentStrictTriangles A B C A' B' C' -> Distance B C = Distance B' C'.