include "delayed_updating/reduction/ifr.ma".
include "delayed_updating/substitution/fsubst_lift.ma".
include "delayed_updating/substitution/fsubst_eq.ma".
-include "delayed_updating/substitution/lift_constructors.ma".
+include "delayed_updating/substitution/lift_constructors.ma".
+include "delayed_updating/substitution/lift_preterm_eq.ma".
include "delayed_updating/substitution/lift_structure_depth.ma".
include "delayed_updating/syntax/prototerm_proper_constructors.ma".
include "delayed_updating/syntax/path_structure_depth.ma".
[ <structure_append <structure_A_sn <structure_append <structure_L_sn
@fsubst_eq_repl [ // ]
@(subset_eq_trans … (lift_iref …))
+ @(subset_eq_canc_sn … (lift_term_eq_repl_dx …))
+ [ @lift_grafted_S /2 width=2 by ex_intro/ | skip ]
+ @(subset_eq_trans … (lift_term_after …))
+ @(subset_eq_canc_dx … (lift_term_after …))
+ @lift_term_eq_repl_sn -t1
| //
| /2 width=2 by ex_intro/
| //