Require Export C11_Mediatrice.
Section OPPOSED_ANGLE.

(* Specifications: *)
Lemma BetweenHalfLineBetween : forall A B C D : Point,
Between A B C ->
HalfLine B C D ->
Between A B D.
Lemma CongruentOppParallelogramm : forall A B C D E : Point,
Between B A D ->
Between C A E ->
Distance A B = Distance A C ->
Distance A B = Distance A D ->
Distance A B = Distance A E ->
~Collinear A B C ->
Angle B A C = Angle E A D.
Lemma CongruentOpp : forall A B C D E : Point,
Between B A D ->
Between C A E ->
~Collinear A B C ->
Angle B A C = Angle E A D.
Lemma CongruentOpposedStrictTriangles : forall A B C D I : Point,
Between A I C ->
Between B I D ->
Distance I A = Distance I C ->
Distance I B = Distance I D ->
~Collinear A I B ->
CongruentStrictTriangles A I B C I D.