X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fdelayed_updating%2Funwind%2Funwind2_preterm_fsubst.ma;h=19634dccc1b2a0866c00e12a9194af04738525b4;hb=61bc42e04598a9f5e489c3867af72e700c7fda04;hp=452c913e54b0154e374b811ae3e8dd5a884e91ba;hpb=5c2d38b46908f662cbb717156b29101ff30f8352;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/delayed_updating/unwind/unwind2_preterm_fsubst.ma b/matita/matita/contribs/lambdadelta/delayed_updating/unwind/unwind2_preterm_fsubst.ma
index 452c913e5..19634dccc 100644
--- a/matita/matita/contribs/lambdadelta/delayed_updating/unwind/unwind2_preterm_fsubst.ma
+++ b/matita/matita/contribs/lambdadelta/delayed_updating/unwind/unwind2_preterm_fsubst.ma
@@ -13,33 +13,33 @@
 (**************************************************************************)
 
 include "delayed_updating/unwind/unwind2_prototerm_eq.ma".
-include "delayed_updating/unwind/unwind2_path_structure.ma".
+include "delayed_updating/unwind/unwind2_path_append.ma".
 include "delayed_updating/substitution/fsubst.ma".
 include "delayed_updating/syntax/preterm.ma".
 include "delayed_updating/syntax/prototerm_proper.ma".
 
-(* UNWIND FOR PRETERM *******************************************************)
+(* TAILED UNWIND FOR PRETERM ************************************************)
 
 (* Constructions with fsubst ************************************************)
 
 lemma unwind2_term_fsubst_sn (f) (t) (u) (p): u ϵ 𝐏 →
-      (▼[f]t)[⋔(⊗p)←▼[▶[f]pᴿ]u] ⊆ ▼[f](t[⋔p←u]).
+      (▼[f]t)[⋔(⊗p)←▼[▶[f]p]u] ⊆ ▼[f](t[⋔p←u]).
 #f #t #u #p #Hu #ql * *
 [ #rl * #r #Hr #H1 #H2 destruct
   >unwind2_path_append_proper_dx
   /4 width=5 by in_comp_unwind2_path_term, in_comp_tpc_trans, or_introl, ex2_intro/
 | * #q #Hq #H1 #H0
   @(ex2_intro … H1) @or_intror @conj // *
-  [ <list_append_empty_dx #H2 destruct
+  [ <list_append_empty_sn #H2 destruct
     elim (unwind2_path_root f q) #r #_ #Hr /2 width=2 by/
   | #l #r #H2 destruct
-    @H0 -H0 [| <unwind2_path_append_proper_dx /2 width=3 by ppc_lcons/ ]
+    @H0 -H0 [| <unwind2_path_append_proper_dx /2 width=3 by ppc_rcons/ ]
   ]
 ]
 qed-.
 
 lemma unwind2_term_fsubst_dx (f) (t) (u) (p): u ϵ 𝐏 → p ϵ ▵t → t ϵ 𝐓 →
-      ▼[f](t[⋔p←u]) ⊆ (▼[f]t)[⋔(⊗p)←▼[▶[f]pᴿ]u].
+      ▼[f](t[⋔p←u]) ⊆ (▼[f]t)[⋔(⊗p)←▼[▶[f]p]u].
 #f #t #u #p #Hu #H1p #H2p #ql * #q * *
 [ #r #Hu #H1 #H2 destruct
   @or_introl @ex2_intro
@@ -47,9 +47,9 @@ lemma unwind2_term_fsubst_dx (f) (t) (u) (p): u ϵ 𝐏 → p ϵ ▵t → t ϵ 
   /2 width=3 by ex2_intro/
 | #Hq #H0 #H1 destruct
   @or_intror @conj [ /2 width=1 by in_comp_unwind2_path_term/ ] *
-  [ <list_append_empty_dx #Hr @(H0 … (𝐞)) -H0
-    <list_append_empty_dx @H2p -H2p
-    /2 width=2 by unwind_gen_des_structure, prototerm_in_comp_root/
+  [ <list_append_empty_sn #Hr @(H0 … (𝐞)) -H0
+    <list_append_empty_sn @H2p -H2p
+    /2 width=2 by unwind2_path_des_structure, prototerm_in_comp_root/
   | #l #r #Hr
     elim (unwind2_path_inv_append_proper_dx … Hr) -Hr // #s1 #s2 #Hs1 #_ #H1 destruct
     lapply (H2p … Hs1) -H2p -Hs1 /2 width=2 by ex_intro/
@@ -58,5 +58,5 @@ lemma unwind2_term_fsubst_dx (f) (t) (u) (p): u ϵ 𝐏 → p ϵ ▵t → t ϵ 
 qed-.
 
 lemma unwind2_term_fsubst (f) (t) (u) (p): u ϵ 𝐏 → p ϵ ▵t → t ϵ 𝐓 →
-      (▼[f]t)[⋔(⊗p)←▼[▶[f]pᴿ]u] ⇔ ▼[f](t[⋔p←u]).
+      (▼[f]t)[⋔(⊗p)←▼[▶[f]p]u] ⇔ ▼[f](t[⋔p←u]).
 /4 width=3 by unwind2_term_fsubst_sn, conj, unwind2_term_fsubst_dx/ qed.