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diff --git a/matita/matita/contribs/lambdadelta/basic_2/reducibility/tpr_tpss.ma b/matita/matita/contribs/lambdadelta/basic_2/reducibility/tpr_tpss.ma
index ff5cfb6a1..597fe64eb 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/reducibility/tpr_tpss.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/reducibility/tpr_tpss.ma
@@ -36,16 +36,16 @@ lemma tpr_tps_ltpr: ∀T1,T2. T1 ➡ T2 →
   elim (tps_inv_bind1 … HY) -HY #WW #TT1 #_ #HTT1 #H destruct
   elim (IHV12 … HVV1 … HL12) -V1 #VV2 #HVV12 #HVV2
   elim (IHT12 … HTT1 (L2. ⓛWW) ?) -T1 /2 width=1/ -HL12 #TT2 #HTT12 #HTT2
-  lapply (tpss_lsubs_trans … HTT2 (L2. ⓓVV2) ?) -HTT2 /3 width=5/
+  lapply (tpss_lsubr_trans … HTT2 (L2. ⓓVV2) ?) -HTT2 /3 width=5/
 | #a #I #V1 #V2 #T1 #T #T2 #HV12 #_ #HT2 #IHV12 #IHT1 #L1 #d #e #X #H #L2 #HL12
   elim (tps_inv_bind1 … H) -H #W1 #U1 #HVW1 #HTU1 #H destruct
   elim (IHV12 … HVW1 … HL12) -V1 #W2 #HW12 #HVW2
   elim (IHT1 … HTU1 (L2. ⓑ{I} W2) ?) -T1 /2 width=1/ -HL12 #U #HU1 #HTU
   elim (tpss_strip_neq … HTU … HT2 ?) -T /2 width=1/ #U2 #HU2 #HTU2
-  lapply (tps_lsubs_trans … HU2 (L2. ⓑ{I} V2) ?) -HU2 /2 width=1/ #HU2
+  lapply (tps_lsubr_trans … HU2 (L2. ⓑ{I} V2) ?) -HU2 /2 width=1/ #HU2
   elim (ltpss_dx_tps_conf … HU2 (L2. ⓑ{I} W2) (d + 1) e ?) -HU2 /2 width=1/ #U3 #HU3 #HU23
-  lapply (tps_lsubs_trans … HU3 (⋆. ⓑ{I} W2) ?) -HU3 /2 width=1/ #HU3
-  lapply (tpss_lsubs_trans … HU23 (L2. ⓑ{I} W2) ?) -HU23 /2 width=1/ #HU23
+  lapply (tps_lsubr_trans … HU3 (⋆. ⓑ{I} W2) ?) -HU3 /2 width=1/ #HU3
+  lapply (tpss_lsubr_trans … HU23 (L2. ⓑ{I} W2) ?) -HU23 /2 width=1/ #HU23
   lapply (tpss_trans_eq … HTU2 … HU23) -U2 /3 width=5/
 | #a #V #V1 #V2 #W1 #W2 #T1 #T2 #_ #HV2 #_ #_ #IHV12 #IHW12 #IHT12 #L1 #d #e #X #H #L2 #HL12
   elim (tps_inv_flat1 … H) -H #VV1 #Y #HVV1 #HY #HX destruct