-theorem ceq_conf_rev: \forall C,c2,c1,c3.
- ceq C c3 c2 \to ceq ? c1 c2 \to ceq ? c1 c3.
-intros 5; elim H; clear H; clear c2;
- [ auto
- | lapply ceq_cl; [ decompose Hletin |||| apply H1 ].
- apply H2; apply ceq_sing_l; [||| apply H4 ]; auto
- | lapply ceq_cl; [ decompose Hletin |||| apply H1 ].
- apply H2; apply ceq_sing_r; [||| apply H4 ]; auto
- ].
+theorem ceq_trans: \forall C,c2,c1,c3.
+ ceq C c2 c3 \to ceq ? c1 c2 \to ceq ? c1 c3.
+intros; elim H; elim H1; clear H; clear H1.
+apply ceq_intro; apply cle_trans; [|auto|auto||auto|auto].