update in delayed_updating

[helm.git] / matita / matita / contribs / lambdadelta / delayed_updating / reduction / dfr_ifr.ma

diff --git a/matita/matita/contribs/lambdadelta/delayed_updating/reduction/dfr_ifr.ma b/matita/matita/contribs/lambdadelta/delayed_updating/reduction/dfr_ifr.ma
index 9a376bed0e223b86f80c4284aecd5ba9a80f02c2..17fcd859888ef3d4413bdf10049a5a5e848e6ad7 100644 (file)
--- a/matita/matita/contribs/lambdadelta/delayed_updating/reduction/dfr_ifr.ma
+++ b/matita/matita/contribs/lambdadelta/delayed_updating/reduction/dfr_ifr.ma
@@ -15,11 +15,17 @@
 include "delayed_updating/reduction/dfr.ma".
 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_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".
+include "ground/relocation/tr_uni_compose.ma".
 include "ground/relocation/tr_pap_pushs.ma".
 
+include "ground/lib/stream_eq_eq.ma".
+
 (* DELAYED FOCUSED REDUCTION ************************************************)
 
 lemma dfr_lift_bi (f) (p) (q) (t1) (t2): t1 ϵ 𝐓 →
@@ -31,11 +37,24 @@ lemma dfr_lift_bi (f) (p) (q) (t1) (t2): t1 ϵ 𝐓 →
 | #g <lift_rmap_structure <depth_structure
   >tr_pushs_swap <tr_pap_pushs_le //
 | lapply (in_comp_lift_bi f … Ht1) -Ht1 -H0t1 -Hb -Ht2
-  <lift_d_empty_dx //
+  <lift_path_d_empty_dx //
 | lapply (lift_term_eq_repl_dx f … Ht2) -Ht2 #Ht2
   @(subset_eq_trans … Ht2) -t2
   @(subset_eq_trans … (lift_fsubst …))
-  [ <structure_append <structure_A_sn <structure_append <structure_L_sn
+  [ <lift_rmap_append <lift_rmap_A_sn <lift_rmap_append <lift_rmap_L_sn
+    <structure_append <structure_A_sn <structure_append <structure_L_sn
+    <depth_plus <depth_L_sn <depth_structure <depth_structure
+    @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
+    @(stream_eq_trans … (tr_compose_uni_dx …))
+(*    
+    >nrplus_inj_dx <tr_pap_plus
+*)    
   | //
   | /2 width=2 by ex_intro/
   | //