(* Basic properties *********************************************************)
-lemma lreq_eq_repl_back: ∀L1,L2. eq_stream_repl_back … (λf. L1 ≡[f] L2).
+lemma lreq_eq_repl_back: ∀L1,L2. eq_repl_back … (λf. L1 ≡[f] L2).
/2 width=3 by lexs_eq_repl_back/ qed-.
-lemma lreq_eq_repl_fwd: ∀L1,L2. eq_stream_repl_fwd … (λf. L1 ≡[f] L2).
+lemma lreq_eq_repl_fwd: ∀L1,L2. eq_repl_fwd … (λf. L1 ≡[f] L2).
/2 width=3 by lexs_eq_repl_fwd/ qed-.
lemma sle_lreq_trans: ∀L1,L2,f2. L1 ≡[f2] L2 →
lemma lreq_inv_push: ∀I1,I2,L1,L2,V1,V2,f.
L1.ⓑ{I1}V1 ≡[↑f] (L2.ⓑ{I2}V2) →
L1 ≡[f] L2 ∧ I1 = I2.
-#I1 #I2 #L1 #L2 #V1 #V2 #f #H elim (lexs_inv_push … H) -H /2 width=1 by conj/
+#I1 #I2 #L1 #L2 #V1 #V2 #f #H elim (lexs_inv_push … H) -H /2 width=1 by conj/
qed-.
+lemma lreq_inv_tl: ∀I,L1,L2,V,f. L1 ≡[⫱f] L2 → L1.ⓑ{I}V ≡[f] L2.ⓑ{I}V.
+/2 width=1 by lexs_inv_tl/ qed-.
+
(* Basic_2A1: removed theorems 5:
lreq_pair_lt lreq_succ_lt lreq_pair_O_Y lreq_O2 lreq_inv_O_Y
*)