Require Export GeoCoq.Elements.OriginalProofs.lemma_tworays.
Require Export GeoCoq.Elements.OriginalProofs.lemma_together.
Require Export GeoCoq.Elements.OriginalProofs.lemma_lessthanadditive.
Require Export GeoCoq.Elements.OriginalProofs.lemma_lessthantransitive.
Require Export GeoCoq.Elements.OriginalProofs.lemma_rayimpliescollinear.
Section Euclid.
Context `{Ax1:euclidean_neutral_ruler_compass}.

Lemma lemma_together2 :
forall A B C F G M N a b c,
TG A a C c B b -> Cong F G B b -> Out F G M -> Cong F M A a -> Out G F N -> Cong G N C c ->
Out M F N.