update in ground_2, static_2, basic_2, apps_2, alpha_1

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/i_dynamic/ntas.ma b/matita/matita/contribs/lambdadelta/basic_2/i_dynamic/ntas.ma
index c0d2b0cf1c1aa89bb4766d35638a795b4ccd71f7..7f74c5f063971899044f2ae726f2fef2c4f3002c 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/i_dynamic/ntas.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/i_dynamic/ntas.ma
@@ -18,7 +18,7 @@ include "basic_2/dynamic/cnv.ma".
 (* ITERATED NATIVE TYPE ASSIGNMENT FOR TERMS ********************************)
 
 definition ntas (h) (a) (n) (G) (L): relation term ≝ λT,U.
-           â\88\83â\88\83U0. â¦\83G,Lâ¦\84 â\8a¢ U ![h,a] & â¦\83G,Lâ¦\84 â\8a¢ T ![h,a] & â¦\83G,Lâ¦\84 â\8a¢ U â\9e¡*[h] U0 & â¦\83G,Lâ¦\84 ⊢ T ➡*[n,h] U0.
+           â\88\83â\88\83U0. â\9dªG,Lâ\9d« â\8a¢ U ![h,a] & â\9dªG,Lâ\9d« â\8a¢ T ![h,a] & â\9dªG,Lâ\9d« â\8a¢ U â\9e¡*[h] U0 & â\9dªG,Lâ\9d« ⊢ T ➡*[n,h] U0.
 
 interpretation "iterated native type assignment (term)"
    'ColonStar h a n G L T U = (ntas h a n G L T U).
@@ -26,24 +26,24 @@ interpretation "iterated native type assignment (term)"
 (* Basic properties *********************************************************)
 
 lemma ntas_intro (h) (a) (n) (G) (L):
-      â\88\80U. â¦\83G,Lâ¦\84 â\8a¢ U ![h,a] â\86\92 â\88\80T. â¦\83G,Lâ¦\84 ⊢ T ![h,a] →
-      â\88\80U0. â¦\83G,Lâ¦\84 â\8a¢ U â\9e¡*[h] U0 â\86\92 â¦\83G,Lâ¦\84 â\8a¢ T â\9e¡*[n,h] U0 â\86\92 â¦\83G,Lâ¦\84 ⊢ T :*[h,a,n] U.
+      â\88\80U. â\9dªG,Lâ\9d« â\8a¢ U ![h,a] â\86\92 â\88\80T. â\9dªG,Lâ\9d« ⊢ T ![h,a] →
+      â\88\80U0. â\9dªG,Lâ\9d« â\8a¢ U â\9e¡*[h] U0 â\86\92 â\9dªG,Lâ\9d« â\8a¢ T â\9e¡*[n,h] U0 â\86\92 â\9dªG,Lâ\9d« ⊢ T :*[h,a,n] U.
 /2 width=3 by ex4_intro/ qed.
 
 lemma ntas_refl (h) (a) (G) (L):
-      â\88\80T. â¦\83G,Lâ¦\84 â\8a¢ T ![h,a] â\86\92 â¦\83G,Lâ¦\84 ⊢ T :*[h,a,0] T.
+      â\88\80T. â\9dªG,Lâ\9d« â\8a¢ T ![h,a] â\86\92 â\9dªG,Lâ\9d« ⊢ T :*[h,a,0] T.
 /2 width=3 by ntas_intro/ qed.
 
 lemma ntas_sort (h) (a) (n) (G) (L):
-      â\88\80s. â¦\83G,Lâ¦\84 ⊢ ⋆s :*[h,a,n] ⋆((next h)^n s).
+      â\88\80s. â\9dªG,Lâ\9d« ⊢ ⋆s :*[h,a,n] ⋆((next h)^n s).
 #h #a #n #G #L #s
 /2 width=3 by ntas_intro, cnv_sort, cpms_sort/
 qed.
 
 lemma ntas_bind_cnv (h) (a) (n) (G) (K):
-      â\88\80V. â¦\83G,Kâ¦\84 ⊢ V ![h,a] →
-      â\88\80I,T,U. â¦\83G,K.â\93\91{I}Vâ¦\84 ⊢ T :*[h,a,n] U →
-      â\88\80p. â¦\83G,Kâ¦\84 â\8a¢ â\93\91{p,I}V.T :*[h,a,n] â\93\91{p,I}V.U.
+      â\88\80V. â\9dªG,Kâ\9d« ⊢ V ![h,a] →
+      â\88\80I,T,U. â\9dªG,K.â\93\91[I]Vâ\9d« ⊢ T :*[h,a,n] U →
+      â\88\80p. â\9dªG,Kâ\9d« â\8a¢ â\93\91[p,I]V.T :*[h,a,n] â\93\91[p,I]V.U.
 #h #a #n #G #K #V #HV #I #T #U
 * #X #HU #HT #HUX #HTX #p
 /3 width=5 by ntas_intro, cnv_bind, cpms_bind_dx/
@@ -52,14 +52,14 @@ qed.
 (* Basic_forward lemmas *****************************************************)
 
 lemma ntas_fwd_cnv_sn (h) (a) (n) (G) (L):
-      â\88\80T,U. â¦\83G,Lâ¦\84 â\8a¢ T :*[h,a,n] U â\86\92 â¦\83G,Lâ¦\84 ⊢ T ![h,a].
+      â\88\80T,U. â\9dªG,Lâ\9d« â\8a¢ T :*[h,a,n] U â\86\92 â\9dªG,Lâ\9d« ⊢ T ![h,a].
 #h #a #n #G #L #T #U
 * #X #_ #HT #_ #_ //
 qed-.
 
 (* Note: this is ntas_fwd_correct_cnv *)
 lemma ntas_fwd_cnv_dx (h) (a) (n) (G) (L):
-      â\88\80T,U. â¦\83G,Lâ¦\84 â\8a¢ T :*[h,a,n] U â\86\92 â¦\83G,Lâ¦\84 ⊢ U ![h,a].
+      â\88\80T,U. â\9dªG,Lâ\9d« â\8a¢ T :*[h,a,n] U â\86\92 â\9dªG,Lâ\9d« ⊢ U ![h,a].
 #h #a #n #G #L #T #U
 * #X #HU #_ #_ #_ //
 qed-.