(* Properties with generic relocation ***************************************)
(* Basic_1: was just: sn3_lift *)
(* Basic_2A1: was just: csx_lift *)
(* Properties with generic relocation ***************************************)
(* Basic_1: was just: sn3_lift *)
(* Basic_2A1: was just: csx_lift *)
#T1 #_ #IH #b #f #L #HLK #U1 #HTU1
@csx_intro #U2 #HU12 #HnU12
elim (cpx_inv_lifts_sn … HU12 … HLK … HTU1) -HU12
#T1 #_ #IH #b #f #L #HLK #U1 #HTU1
@csx_intro #U2 #HU12 #HnU12
elim (cpx_inv_lifts_sn … HU12 … HLK … HTU1) -HU12
qed-.
(* Inversion lemmas with generic slicing ************************************)
(* Basic_1: was just: sn3_gen_lift *)
(* Basic_2A1: was just: csx_inv_lift *)
qed-.
(* Inversion lemmas with generic slicing ************************************)
(* Basic_1: was just: sn3_gen_lift *)
(* Basic_2A1: was just: csx_inv_lift *)
-lemma csx_inv_lifts: ∀h,o,G. d_deliftable1 … (csx h o G).
-#h #o #G #L #U #H @(csx_ind … H) -U
+lemma csx_inv_lifts (G):
+ d_deliftable1 … (csx G).
+#G #L #U #H @(csx_ind … H) -U
#U1 #_ #IH #b #f #K #HLK #T1 #HTU1
@csx_intro #T2 #HT12 #HnT12
elim (cpx_lifts_sn … HT12 … HLK … HTU1) -HT12
#U1 #_ #IH #b #f #K #HLK #T1 #HTU1
@csx_intro #T2 #HT12 #HnT12
elim (cpx_lifts_sn … HT12 … HLK … HTU1) -HT12