(* Basic eliminators ********************************************************)
-lemma tpss_ind: ∀d,e,L,T1. ∀R: term → Prop. R T1 →
+lemma tpss_ind: ∀d,e,L,T1. ∀R:predicate term. R T1 →
(∀T,T2. L ⊢ T1 [d, e] ≫* T → L ⊢ T [d, e] ≫ T2 → R T → R T2) →
∀T2. L ⊢ T1 [d, e] ≫* T2 → R T2.
#d #e #L #T1 #R #HT1 #IHT1 #T2 #HT12 @(TC_star_ind … HT1 IHT1 … HT12) //