update in ground_2, static_2, basic_2, apps_2, alpha_1

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / i_dynamic / ntas_nta_ind.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/i_dynamic/ntas_nta_ind.ma b/matita/matita/contribs/lambdadelta/basic_2/i_dynamic/ntas_nta_ind.ma
index 41a304476b9269a629965ceed35c6f219ff9bf44..a012d50ade578cd13ee78874c3af05d3c114c3e2 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/i_dynamic/ntas_nta_ind.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/i_dynamic/ntas_nta_ind.ma
@@ -23,15 +23,15 @@ include "basic_2/i_dynamic/ntas_ntas.ma".
 (* Advanced eliminators for native type assignment **************************)
 
 lemma ntas_ind_bi_nta (h) (a) (G) (L) (Q:relation3 …):
-      (â\88\80T1,T2. â¦\83G,Lâ¦\84 â\8a¢ T1 ![h,a] â\86\92 â¦\83G,Lâ¦\84 â\8a¢ T2 ![h,a] â\86\92 â¦\83G,Lâ¦\84 ⊢ T1 ⬌*[h] T2 →
+      (â\88\80T1,T2. â\9dªG,Lâ\9d« â\8a¢ T1 ![h,a] â\86\92 â\9dªG,Lâ\9d« â\8a¢ T2 ![h,a] â\86\92 â\9dªG,Lâ\9d« ⊢ T1 ⬌*[h] T2 →
         Q 0 T1 T2
       ) →
-      (â\88\80T1,T2. â¦\83G,Lâ¦\84 ⊢ T1 :[h,a] T2 → Q 1 T1 T2
+      (â\88\80T1,T2. â\9dªG,Lâ\9d« ⊢ T1 :[h,a] T2 → Q 1 T1 T2
       ) →
-      (â\88\80n1,n2,T1,T2,T0.  â¦\83G,Lâ¦\84 â\8a¢ T1 :*[h,a,n1] T0 â\86\92 â¦\83G,Lâ¦\84 ⊢ T0 :*[h,a,n2] T2 →
+      (â\88\80n1,n2,T1,T2,T0.  â\9dªG,Lâ\9d« â\8a¢ T1 :*[h,a,n1] T0 â\86\92 â\9dªG,Lâ\9d« ⊢ T0 :*[h,a,n2] T2 →
         Q n1 T1 T0 → Q n2 T0 T2 → Q (n1+n2) T1 T2
       ) →
-      â\88\80n,T1,T2. â¦\83G,Lâ¦\84 ⊢ T1 :*[h,a,n] T2 → Q n T1 T2.
+      â\88\80n,T1,T2. â\9dªG,Lâ\9d« ⊢ T1 :*[h,a,n] T2 → Q n T1 T2.
 #h #a #G #L #Q #IH1 #IH2 #IH3 #n
 @(nat_elim1 n) -n * [| * ]
 [ #_ #T1 #T2 #H
@@ -48,33 +48,33 @@ qed-.
 lemma nta_ind_cnv (h) (a) (Q:relation4 …):
       (∀G,L,s. Q G L (⋆s) (⋆(⫯[h]s))) →
       (∀G,K,V,W,U.
-        â¦\83G,Kâ¦\84 ⊢ V :[h,a] W → ⇧*[1] W ≘ U →
+        â\9dªG,Kâ\9d« ⊢ V :[h,a] W → ⇧*[1] W ≘ U →
         Q G K V W → Q G (K.ⓓV) (#0) U
       ) →
-      (â\88\80G,K,W,U. â¦\83G,Kâ¦\84 ⊢ W ![h,a] → ⇧*[1] W ≘ U → Q G (K.ⓛW) (#0) U) →
+      (â\88\80G,K,W,U. â\9dªG,Kâ\9d« ⊢ W ![h,a] → ⇧*[1] W ≘ U → Q G (K.ⓛW) (#0) U) →
       (∀I,G,K,W,U,i.
-        â¦\83G,Kâ¦\84 ⊢ #i :[h,a] W → ⇧*[1] W ≘ U →
-        Q G K (#i) W → Q G (K.ⓘ{I}) (#↑i) U
+        â\9dªG,Kâ\9d« ⊢ #i :[h,a] W → ⇧*[1] W ≘ U →
+        Q G K (#i) W → Q G (K.ⓘ[I]) (#↑i) U
       ) →
       (∀p,I,G,K,V,T,U.
-        â¦\83G,Kâ¦\84 â\8a¢ V ![h,a] â\86\92 â¦\83G,K.â\93\91{I}Vâ¦\84 ⊢ T :[h,a] U →
-        Q G (K.ⓑ{I}V) T U → Q G K (ⓑ{p,I}V.T) (ⓑ{p,I}V.U)
+        â\9dªG,Kâ\9d« â\8a¢ V ![h,a] â\86\92 â\9dªG,K.â\93\91[I]Vâ\9d« ⊢ T :[h,a] U →
+        Q G (K.ⓑ[I]V) T U → Q G K (ⓑ[p,I]V.T) (ⓑ[p,I]V.U)
       ) →
       (∀p,G,L,V,W,T,U0,U. (**) (* one IH is missing *)
-        ad a 0 â\86\92 â¦\83G,Lâ¦\84 â\8a¢ V :[h,a] W â\86\92 â¦\83G,Lâ¦\84 â\8a¢ T :*[h,a,0] â\93\9b{p}W.U0 â\86\92 â¦\83G,L.â\93\9bWâ¦\84 ⊢ U0 :[h,a] U →
-        Q G L V W (* → Q G (L.ⓛW) U0 U *) → Q G L (ⓐV.T) (ⓐV.ⓛ{p}W.U)
+        ad a 0 â\86\92 â\9dªG,Lâ\9d« â\8a¢ V :[h,a] W â\86\92 â\9dªG,Lâ\9d« â\8a¢ T :*[h,a,0] â\93\9b[p]W.U0 â\86\92 â\9dªG,L.â\93\9bWâ\9d« ⊢ U0 :[h,a] U →
+        Q G L V W (* → Q G (L.ⓛW) U0 U *) → Q G L (ⓐV.T) (ⓐV.ⓛ[p]W.U)
       ) →
       (∀n,p,G,L,V,W,T,U,U0.
-        ad a (â\86\91n) â\86\92 â¦\83G,Lâ¦\84 â\8a¢ V :[h,a] W â\86\92 â¦\83G,Lâ¦\84 â\8a¢ T :[h,a] U â\86\92 â¦\83G,Lâ¦\84 â\8a¢ U :*[h,a,n] â\93\9b{p}W.U0 →
+        ad a (â\86\91n) â\86\92 â\9dªG,Lâ\9d« â\8a¢ V :[h,a] W â\86\92 â\9dªG,Lâ\9d« â\8a¢ T :[h,a] U â\86\92 â\9dªG,Lâ\9d« â\8a¢ U :*[h,a,n] â\93\9b[p]W.U0 →
         Q G L V W → Q G L T U → Q G L (ⓐV.T) (ⓐV.U)
       ) →
-      (â\88\80G,L,T,U. â¦\83G,Lâ¦\84 ⊢ T :[h,a] U → Q G L T U → Q G L (ⓝU.T) U
+      (â\88\80G,L,T,U. â\9dªG,Lâ\9d« ⊢ T :[h,a] U → Q G L T U → Q G L (ⓝU.T) U
       ) →
       (∀G,L,T,U1,U2.
-        â¦\83G,Lâ¦\84 â\8a¢ T :[h,a] U1 â\86\92 â¦\83G,Lâ¦\84 â\8a¢ U1 â¬\8c*[h] U2 â\86\92 â¦\83G,Lâ¦\84 ⊢ U2 ![h,a] →
+        â\9dªG,Lâ\9d« â\8a¢ T :[h,a] U1 â\86\92 â\9dªG,Lâ\9d« â\8a¢ U1 â¬\8c*[h] U2 â\86\92 â\9dªG,Lâ\9d« ⊢ U2 ![h,a] →
         Q G L T U1 → Q G L T U2
       ) →
-      â\88\80G,L,T,U. â¦\83G,Lâ¦\84 ⊢ T :[h,a] U → Q G L T U.
+      â\88\80G,L,T,U. â\9dªG,Lâ\9d« ⊢ T :[h,a] U → Q G L T U.
 #h #a #Q #IH1 #IH2 #IH3 #IH4 #IH5 #IH6 #IH7 #IH8 #H9 #G #L #T
 @(fqup_wf_ind_eq (Ⓣ) … G L T) -G -L -T #G0 #L0 #T0 #IH #G #L * * [|||| * ]
 [ #s #HG #HL #HT #X #H destruct -IH