include "delayed_updating/reduction/ifr.ma".
-include "delayed_updating/unwind/unwind2_path_lift.ma".
-
include "delayed_updating/substitution/fsubst_lift.ma".
include "delayed_updating/substitution/fsubst_eq.ma".
-include "delayed_updating/substitution/lift_prototerm_eq.ma".
include "delayed_updating/substitution/lift_path_head.ma".
include "delayed_updating/substitution/lift_rmap_head.ma".
+include "ground/relocation/tr_uni_compose.ma".
+include "ground/relocation/tr_compose_eq.ma".
+
(* IMMEDIATE FOCUSED REDUCTION **********************************************)
(* Constructions with lift **************************************************)
@(subset_eq_trans … Ht2) -t2
@(subset_eq_trans … (lift_term_fsubst …))
@fsubst_eq_repl [ // | <lift_path_append // ]
-(*
- @(subset_eq_trans … (lift_term_iref …))
- @iref_eq_repl
- @(subset_eq_canc_sn … (lift_term_grafted_S …))
+ @(subset_eq_canc_sn … (lift_term_eq_repl_dx …))
+ [ @lift_term_grafted_S | skip ]
+ @(subset_eq_trans … (lift_term_after …))
+ @(subset_eq_canc_dx … (lift_term_after …))
@lift_term_eq_repl_sn
(* Note: crux of the proof begins *)
+ @(stream_eq_trans … (tr_compose_uni_dx …))
+ @tr_compose_eq_repl //
>list_append_rcons_sn in H1n; #H1n >lift_rmap_A_dx
/2 width=1 by tls_lift_rmap_append_closed/
(* Note: crux of the proof ends *)
]
qed.
-*)
\ No newline at end of file