lemma tstc_dec: ∀T1,T2. Decidable (T1 ≃ T2).
* #I1 [2: #V1 #T1 ] * #I2 [2,4: #V2 #T2 ]
-[ elim (item2_eq_dec I1 I2) #HI12
+[ elim (eq_item2_dec I1 I2) #HI12
[ destruct /2 width=1/
| @or_intror #H
elim (tstc_inv_pair1 … H) -H #V #T #H destruct /2 width=1/
lapply (tstc_inv_atom1 … H) -H #H destruct
| @or_intror #H
lapply (tstc_inv_atom2 … H) -H #H destruct
-| elim (item0_eq_dec I1 I2) #HI12
+| elim (eq_item0_dec I1 I2) #HI12
[ destruct /2 width=1/
| @or_intror #H
lapply (tstc_inv_atom2 … H) -H #H destruct /2 width=1/