Require Export GeoCoq.Elements.OriginalProofs.lemma_NCdistinct.
Require Export GeoCoq.Elements.OriginalProofs.proposition_31short.
Require Export GeoCoq.Elements.OriginalProofs.lemma_collinearparallel.
Require Export GeoCoq.Elements.OriginalProofs.proposition_29.
Section Euclid.
Context `{Ax:euclidean_euclidean}.

Lemma proposition_32 :
forall A B C D,
Triangle A B C -> BetS B C D ->
SumA C A B A B C A C D.