update in delayed_updating

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

diff --git a/matita/matita/contribs/lambdadelta/delayed_updating/reduction/dbfr_ibfr.ma b/matita/matita/contribs/lambdadelta/delayed_updating/reduction/dbfr_ibfr.ma
index 572b250977bdac25373c6dc2258f03623784e0c1..387dc8f1562b89a3c7d8cafe19a00ed860455267 100644 (file)
--- a/matita/matita/contribs/lambdadelta/delayed_updating/reduction/dbfr_ibfr.ma
+++ b/matita/matita/contribs/lambdadelta/delayed_updating/reduction/dbfr_ibfr.ma
@@ -13,32 +13,40 @@
 (**************************************************************************)
 
 include "delayed_updating/reduction/dbfr.ma".
-include "delayed_updating/reduction/ibfr_unwind.ma".
+include "delayed_updating/reduction/ibfr.ma".
 
 include "delayed_updating/unwind/unwind2_prototerm_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_rmap_crux.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/path_closed_structure.ma".
+include "delayed_updating/syntax/path_structure_depth.ma".
 
 (* DELAYED BALANCED FOCUSED REDUCTION ***************************************)
 
 (* Main destructions with ibfr **********************************************)
 
-theorem dbfr_des_ibfr_push (f) (t1) (t2) (r): t1 ϵ 𝐓 →
-        t1 ➡𝐝𝐛𝐟[r] t2 → ▼[⫯f]t1 ➡𝐢𝐛𝐟[⊗r] ▼[⫯f]t2.
+theorem dbfr_des_ibfr (f) (t1) (t2) (r): t1 ϵ 𝐓 →
+        t1 ➡𝐝𝐛𝐟[r] t2 → ▼[f]t1 ➡𝐢𝐛𝐟[⊗r] ▼[f]t2.
 #f #t1 #t2 #r #H0t1
-* #p #b #q #m #n #Hr #Hp #Hb #Hm #Hn #Ht1 #Ht2 destruct
-@(ex7_5_intro … (⊗p) (⊗b) (⊗q) (♭b) (♭q))
-[ -H0t1 -Hp -Hb -Hm -Hn -Ht1 -Ht2 //
-| -H0t1 -Hb -Hm -Hn -Ht1 -Ht2 /2 width=1 by path_guard_structure/
-| -H0t1 -Hp -Hm -Hn -Ht1 -Ht2 //
-| -H0t1 -Hp -Hb -Hn -Ht1 -Ht2
+* #p #b #q #m #n #Hr #Hb #Hm #Hn #Ht1 #Ht2 destruct
+@(ex6_5_intro … (⊗p) (⊗b) (⊗q) (♭b) (♭q))
+[ -H0t1 -Hb -Hm -Hn -Ht1 -Ht2 //
+| -H0t1 -Hm -Hn -Ht1 -Ht2 //
+| -H0t1 -Hb -Hn -Ht1 -Ht2
   /2 width=2 by path_closed_structure_depth/
-| -H0t1 -Hp -Hb -Hm -Ht1 -Ht2
+| -H0t1 -Hb -Hm -Ht1 -Ht2
   /2 width=2 by path_closed_structure_depth/
-| lapply (in_comp_unwind2_path_term (⫯f) … Ht1) -H0t1 -Hp -Hb -Hm -Ht2 -Ht1
+| lapply (in_comp_unwind2_path_term f … Ht1) -H0t1 -Hb -Hm -Ht2 -Ht1
   <unwind2_path_d_dx <tr_pap_succ_nap >list_append_rcons_dx >list_append_assoc
   <nap_unwind2_rmap_append_closed_Lq_dx //
-| lapply (unwind2_term_eq_repl_dx (⫯f) … Ht2) -Ht2 #Ht2
+| lapply (unwind2_term_eq_repl_dx f … Ht2) -Ht2 #Ht2
   @(subset_eq_trans … Ht2) -t2
   @(subset_eq_trans … (unwind2_term_fsubst_ppc …))
   [ @fsubst_eq_repl [ // | // ]
@@ -56,10 +64,3 @@ theorem dbfr_des_ibfr_push (f) (t1) (t2) (r): t1 ϵ 𝐓 →
   ]
 ]
 qed-.
-
-theorem dbfr_des_ibfr (f) (t1) (t2) (r): t1 ϵ 𝐓 →
-        t1 ➡𝐝𝐛𝐟[r] t2 → ▼[f]t1 ➡𝐢𝐛𝐟[⊗r] ▼[f]t2.
-#f #t1 #t2 #r #Ht1 #Ht12
-lapply (dbfr_des_ibfr_push (𝐢) … Ht1 Ht12) -Ht1 -Ht12 #Ht12
-/2 width=1 by ibfr_structure_unwind_bi/
-qed.