Require Export GeoCoq.Elements.OriginalProofs.lemma_betweennotequal.
Section Euclid.
Context `{Ax1:euclidean_neutral}.

(* Specifications: *)
Lemma lemma_lessthannotequal :
forall A B C D,
Lt A B C D ->
neq A B /\ neq C D.
Lemma lemma_raystrict :
forall A B C,
Out A B C ->
neq A C.