Require Export E3_Congruence.
Section CONTINUITY.
(* D1 (Archimedes) : Given line segments AB and CD, there is a natural number n such that n copies of AB added together will be greater than CD. *)

Lemma D1 : forall A B C D : Point,
A <> B ->
C <> D ->
exists n : nat,
exists E : Point,
HalfLine A B E /\
Distance A E = DistTimesn n A B /\
LSlt (Distance C D) (Distance A E).