(* Basic eliminators ********************************************************)
-lemma ltpss_ind: ∀d,e,L1. ∀R: lenv → Prop. R L1 →
+lemma ltpss_ind: ∀d,e,L1. ∀R:predicate lenv. R L1 →
(∀L,L2. L1 [d, e] ≫* L → L [d, e] ≫ L2 → R L → R L2) →
∀L2. L1 [d, e] ≫* L2 → R L2.
#d #e #L1 #R #HL1 #IHL1 #L2 #HL12 @(TC_star_ind … HL1 IHL1 … HL12) //