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

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