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15 (* STATO: NON COMPILA: dev'essere aggiornato *)
17 set "baseuri" "cic:/matita/PREDICATIVE-TOPOLOGY/class_eq".
19 include "class_defs.ma".
21 theorem ceq_trans: \forall C. \xforall c1,c2. ceq C c1 c2 \to
22 \xforall c3. ceq ? c2 c3 \to ceq ? c1 c3.
26 apply ceq_intro; apply cle_trans; [|auto new timeout=100|auto new timeout=100||auto new timeout=100|auto new timeout=100].
29 theorem ceq_sym: \forall C,c1,c2. ceq C c1 c2 \to ceq C c2 c1.
30 intros; elim H; clear H.; auto new timeout=100.