(* Main properties **********************************************************)
(* Basic_1: was: iso_trans *)
-theorem tstc_trans: ∀T1,T. T1 ≃ T → ∀T2. T ≃ T2 → T1 ≃ T2.
+theorem tstc_trans: Transitive … tstc.
#T1 #T * -T1 -T //
#I #V1 #V #T1 #T #X #H
elim (tstc_inv_pair1 … H) -H #V2 #T2 #H destruct //
-qed.
+qed-.
-theorem tstc_canc_sn: â\88\80T,T1. T â\89\83 T1 â\86\92 â\88\80T2. T â\89\83 T2 â\86\92 T1 â\89\83 T2.
-/3 width=3/ qed.
+theorem tstc_canc_sn: â\88\80T,T1. T â\89\82 T1 â\86\92 â\88\80T2. T â\89\82 T2 â\86\92 T1 â\89\82 T2.
+/3 width=3 by tstc_trans, tstc_sym/ qed-.
-theorem tstc_canc_dx: â\88\80T1,T. T1 â\89\83 T â\86\92 â\88\80T2. T2 â\89\83 T â\86\92 T1 â\89\83 T2.
-/3 width=3/ qed.
+theorem tstc_canc_dx: â\88\80T1,T. T1 â\89\82 T â\86\92 â\88\80T2. T2 â\89\82 T â\86\92 T1 â\89\82 T2.
+/3 width=3 by tstc_trans, tstc_sym/ qed-.