(* Note: it does not hold replacing |L1| with |L2| *)
(* Basic_1: was only: pr2_change *)
-lemma cpr_lsubs_trans: ∀L1,T1,T2. L1 ⊢ T1 ➡ T2 →
+lemma cpr_lsubr_trans: ∀L1,T1,T2. L1 ⊢ T1 ➡ T2 →
∀L2. L2 ≼ [0, |L1|] L1 → L2 ⊢ T1 ➡ T2.
#L1 #T1 #T2 * #T #HT1 #HT2 #L2 #HL12
-lapply (tpss_lsubs_trans … HT2 … HL12) -HT2 -HL12 /3 width=4/
+lapply (tpss_lsubr_trans … HT2 … HL12) -HT2 -HL12 /3 width=4/
qed.
(* Basic inversion lemmas ***************************************************)