Require Export GeoCoq.Elements.OriginalProofs.lemma_diagonalsmeet.
Require Export GeoCoq.Elements.OriginalProofs.proposition_29B.
Require Export GeoCoq.Elements.OriginalProofs.proposition_26A.
Section Euclid.
Context `{Ax:euclidean_euclidean}.

Lemma proposition_34 :
forall A B C D,
PG A C D B ->
Cong A B C D /\ Cong A C B D /\ CongA C A B B D C /\ CongA A B D D C A /\ Cong_3 C A B B D C.