update in ground_2, static_2, basic_2, apps_2, alpha_1

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / dynamic / nta_cpms.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/nta_cpms.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/nta_cpms.ma
index f452902688aebfc2a977500512748fdeaa638244..3e125f3f873be05ec2cb811ffad33948db2dfa16 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/nta_cpms.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/nta_cpms.ma
@@ -23,8 +23,8 @@ include "basic_2/dynamic/nta.ma".
 (* Basic_2A1: uses by definition nta_appl ntaa_appl *)
 lemma nta_appl_abst (h) (a) (p) (G) (L):
       ∀n. ad a n →
-      â\88\80V,W. â¦\83G,Lâ¦\84 ⊢ V :[h,a] W →
-      â\88\80T,U. â¦\83G,L.â\93\9bWâ¦\84 â\8a¢ T :[h,a] U â\86\92 â¦\83G,Lâ¦\84 â\8a¢ â\93\90V.â\93\9b{p}W.T :[h,a] â\93\90V.â\93\9b{p}W.U.
+      â\88\80V,W. â\9dªG,Lâ\9d« ⊢ V :[h,a] W →
+      â\88\80T,U. â\9dªG,L.â\93\9bWâ\9d« â\8a¢ T :[h,a] U â\86\92 â\9dªG,Lâ\9d« â\8a¢ â\93\90V.â\93\9b[p]W.T :[h,a] â\93\90V.â\93\9b[p]W.U.
 #h #a #p #G #L #n #Ha #V #W #H1 #T #U #H2
 elim (cnv_inv_cast … H1) -H1 #X1 #HW #HV #HWX1 #HVX1
 elim (cnv_inv_cast … H2) -H2 #X2 #HU #HT #HUX2 #HTX2
@@ -35,14 +35,14 @@ qed.
 (* Basic_2A1: was nta_appl_old *)
 lemma nta_appl (h) (a) (p) (G) (L):
       ∀n. 1 ≤ n → ad a n →
-      â\88\80V,W. â¦\83G,Lâ¦\84 ⊢ V :[h,a] W →
-      â\88\80T,U. â¦\83G,Lâ¦\84 â\8a¢ T :[h,a] â\93\9b{p}W.U â\86\92 â¦\83G,Lâ¦\84 â\8a¢ â\93\90V.T :[h,a] â\93\90V.â\93\9b{p}W.U.
+      â\88\80V,W. â\9dªG,Lâ\9d« ⊢ V :[h,a] W →
+      â\88\80T,U. â\9dªG,Lâ\9d« â\8a¢ T :[h,a] â\93\9b[p]W.U â\86\92 â\9dªG,Lâ\9d« â\8a¢ â\93\90V.T :[h,a] â\93\90V.â\93\9b[p]W.U.
 #h #a #p #G #L #n #Hn #Ha #V #W #H1 #T #U #H2
 elim (cnv_inv_cast … H1) -H1 #X1 #HW #HV #HWX1 #HVX1
 elim (cnv_inv_cast … H2) -H2 #X2 #HU #HT #HUX2 #HTX2
 elim (cpms_inv_abst_sn … HUX2) #W0 #U0 #HW0 #HU0 #H destruct
 elim (cprs_conf … HWX1 … HW0) -HW0 #X0 #HX10 #HWX0
-@(cnv_cast … (ⓐV.ⓛ{p}W0.U0)) (**) (* full auto too slow *)
+@(cnv_cast … (ⓐV.ⓛ[p]W0.U0)) (**) (* full auto too slow *)
 [ /2 width=11 by cnv_appl_ge/
 | /3 width=11 by cnv_appl_ge, cpms_cprs_trans/
 | /2 width=1 by cpms_appl_dx/
@@ -53,8 +53,8 @@ qed.
 (* Inversion lemmas with advanced rt_computation for terms ******************)
 
 lemma nta_inv_abst_bi_cnv (h) (a) (p) (G) (K) (W):
-      â\88\80T,U. â¦\83G,Kâ¦\84 â\8a¢ â\93\9b{p}W.T :[h,a] â\93\9b{p}W.U →
-      â\88§â\88§ â¦\83G,Kâ¦\84 â\8a¢ W ![h,a] & â¦\83G,K.â\93\9bWâ¦\84 ⊢ T :[h,a] U.
+      â\88\80T,U. â\9dªG,Kâ\9d« â\8a¢ â\93\9b[p]W.T :[h,a] â\93\9b[p]W.U →
+      â\88§â\88§ â\9dªG,Kâ\9d« â\8a¢ W ![h,a] & â\9dªG,K.â\93\9bWâ\9d« ⊢ T :[h,a] U.
 #h #a #p #G #K #W #T #U #H
 elim (cnv_inv_cast … H) -H #X #HWU #HWT #HUX #HTX
 elim (cnv_inv_bind … HWU) -HWU #HW #HU