Require Export GeoCoq.Elements.OriginalProofs.proposition_23.
Require Export GeoCoq.Elements.OriginalProofs.proposition_11B.
Require Export GeoCoq.Elements.OriginalProofs.lemma_Euclid4.
Require Export GeoCoq.Elements.OriginalProofs.lemma_equalanglesflip.
Require Export GeoCoq.Elements.OriginalProofs.lemma_9_5.
Section Euclid.
Context `{Ax:euclidean_neutral_ruler_compass}.

Lemma proposition_23B :
forall A B C D E P,
neq A B -> nCol D C E -> nCol A B P ->
exists X Y, Out A B Y /\ CongA X A Y D C E /\ TS X A B P.