proposition: Lemma lemma_TCreflexive : forall A B C, Triangle A B C -> Cong_3 A B C A B C.
proof: Proof. intros. assert (Cong A B A B) by (conclude cn_congruencereflexive). assert (Cong B C B C) by (conclude cn_congruencereflexive). assert (Cong A C A C) by (conclude cn_congruencereflexive). assert (Cong_3 A B C A B C) by (conclude_def Cong_3 ). close. Qed.
imports: GeoCoq.Elements.OriginalProofs.euclidean_tactics