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diff --git a/matita/matita/contribs/lambdadelta/ground/relocation/tr_pap_hdtl_eq.ma b/matita/matita/contribs/lambdadelta/ground/relocation/tr_pap_hdtl_eq.ma
new file mode 100644
index 000000000..9fcff7858
--- /dev/null
+++ b/matita/matita/contribs/lambdadelta/ground/relocation/tr_pap_hdtl_eq.ma
@@ -0,0 +1,26 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||M||                                                             *)
+(*      ||A||       A project by Andrea Asperti                           *)
+(*      ||T||                                                             *)
+(*      ||I||       Developers:                                           *)
+(*      ||T||         The HELM team.                                      *)
+(*      ||A||         http://helm.cs.unibo.it                             *)
+(*      \   /                                                             *)
+(*       \ /        This file is distributed under the terms of the       *)
+(*        v         GNU General Public License Version 2                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+include "ground/relocation/tr_pap_hdtl.ma".
+include "ground/lib/stream_hdtl_eq.ma".
+
+(* POSITIVE APPLICATION FOR TOTAL RELOCATION MAPS ***************************)
+
+(* Inversions with stream_eq and stream_tl **********************************)
+
+lemma tr_eq_inv_pap_unit_tl_bi (f1) (f2):
+      f1＠⧣❨𝟏❩ = f2＠⧣❨𝟏❩ → ⇂f1 ≗ ⇂f2 → f1 ≗ f2.
+#f1 #f2 #H1 #H2
+/2 width=1 by stream_eq_inv_hd_tl_bi/
+qed-.