update in delayed_updating

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

diff --git a/matita/matita/contribs/lambdadelta/delayed_updating/reduction/ifr_unwind.ma b/matita/matita/contribs/lambdadelta/delayed_updating/reduction/ifr_unwind.ma
index 7634974a54f9a0c6c9dffe13a44d75517c104e51..9bd4cd7c47f21e086d9798e24966f0b02c3c6cbf 100644 (file)
--- a/matita/matita/contribs/lambdadelta/delayed_updating/reduction/ifr_unwind.ma
+++ b/matita/matita/contribs/lambdadelta/delayed_updating/reduction/ifr_unwind.ma
@@ -17,13 +17,12 @@ include "delayed_updating/reduction/ifr.ma".
 include "delayed_updating/unwind/unwind2_constructors.ma".
 include "delayed_updating/unwind/unwind2_preterm_fsubst.ma".
 include "delayed_updating/unwind/unwind2_preterm_eq.ma".
-include "delayed_updating/unwind/unwind2_prototerm_lift.ma".
+include "delayed_updating/unwind/unwind2_prototerm_inner.ma".
 include "delayed_updating/unwind/unwind2_rmap_head.ma".
 
 include "delayed_updating/substitution/fsubst_eq.ma".
-include "delayed_updating/substitution/lift_prototerm_eq.ma".
 
-include "delayed_updating/syntax/prototerm_proper_constructors.ma".
+include "delayed_updating/syntax/prototerm_proper_inner.ma".
 include "delayed_updating/syntax/path_head_structure.ma".
 include "delayed_updating/syntax/path_structure_depth.ma".
 include "delayed_updating/syntax/path_structure_reverse.ma".
@@ -34,16 +33,16 @@ include "delayed_updating/syntax/path_depth_reverse.ma".
 (* Constructions with unwind ************************************************)
 
 theorem ifr_unwind_bi (f) (p) (q) (t1) (t2):
-        t1 ϵ 𝐓 → t1⋔(p◖𝗦) ϵ 𝐏 →
+        t1 ϵ 𝐓 → t1⋔(p◖𝗦) ⧸≬ 𝐈 →
         t1 ➡𝐟[p,q] t2 → ▼[f]t1 ➡𝐟[⊗p,⊗q] ▼[f]t2.
-#f #p #q #t1 #t2 #H1t1 #H2t1 
+#f #p #q #t1 #t2 #H1t1 #H2t1
 * #n * #H1n #Ht1 #Ht2
-@(ex_intro … (↑♭⊗q)) @and3_intro
-[ -H0t1 -Ht1 -Ht2
+@(ex_intro … (↑♭q)) @and3_intro
+[ -H1t1 -H2t1 -Ht1 -Ht2
   >structure_L_sn >structure_reverse
   >H1n >path_head_structure_depth <H1n -H1n //
-| lapply (in_comp_unwind2_path_term f … Ht1) -Ht2 -Ht1 -H0t1
-  <unwind2_path_d_dx <depth_structure
+| lapply (in_comp_unwind2_path_term f … Ht1) -Ht2 -Ht1 -H1t1 -H2t1
+  <unwind2_path_d_dx
   >list_append_rcons_sn in H1n; <reverse_append #H1n
   lapply (unwind2_rmap_append_pap_closed f … H1n)
   <reverse_lcons <depth_L_dx #H2n
@@ -52,11 +51,10 @@ theorem ifr_unwind_bi (f) (p) (q) (t1) (t2):
   @(subset_eq_trans … Ht2) -t2
   @(subset_eq_trans … (unwind2_term_fsubst …))
   [ @fsubst_eq_repl [ // | // ]
-(*  
-    @(subset_eq_trans … (unwind2_term_iref …))
-    @(subset_eq_canc_sn … (lift_term_eq_repl_dx …))
+    @(subset_eq_canc_dx … (unwind2_term_after …))
+    @(subset_eq_canc_sn … (unwind2_term_eq_repl_dx …))
     [ @unwind2_term_grafted_S /2 width=2 by ex_intro/ | skip ] -Ht1
-    @(subset_eq_trans … (unwind2_lift_term_after …))
+    @(subset_eq_trans … (unwind2_term_after …))
     @unwind2_term_eq_repl_sn
 (* Note: crux of the proof begins *)
     @nstream_eq_inv_ext #m
@@ -65,13 +63,13 @@ theorem ifr_unwind_bi (f) (p) (q) (t1) (t2):
     >list_append_rcons_sn in H1n; <reverse_append #H1n
     lapply (unwind2_rmap_append_pap_closed f … H1n) #H2n
     >nrplus_inj_dx in ⊢ (???%); <H2n -H2n
-    lapply (tls_unwind2_rmap_append_closed f … H1n) #H2n
-    <(tr_pap_eq_repl … H2n) -H2n -H1n //
+    lapply (tls_unwind2_rmap_append_closed f … H1n) -H1n #H2n
+    <(tr_pap_eq_repl … H2n) -H2n //
 (* Note: crux of the proof ends *)
-*)
   | //
   | /2 width=2 by ex_intro/
-  | //
+  | @term_proper_outer #H0 (**) (* full auto does not work *)
+    /3 width=2 by unwind2_term_des_inner/
   ]
 ]
 qed.