update in ground static_2 basic_2 apps_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_transition / cnx.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnx.ma
index d4e3de738ab76b6999425160fd0ad8d7712255a2..e1673439e775303adbd008b2adc3520abdc45027 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnx.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnx.ma
@@ -28,8 +28,8 @@ interpretation
 (* Basic inversion lemmas ***************************************************)
 
 lemma cnx_inv_abst (G) (L):
-      â\88\80p,V,T. â\9dªG,Lâ\9d« ⊢ ⬈𝐍 ⓛ[p]V.T →
-      â\88§â\88§ â\9dªG,Lâ\9d« â\8a¢ â¬\88ð\9d\90\8d V & â\9dªG,L.â\93\9bVâ\9d« ⊢ ⬈𝐍 T.
+      â\88\80p,V,T. â\9d¨G,Lâ\9d© ⊢ ⬈𝐍 ⓛ[p]V.T →
+      â\88§â\88§ â\9d¨G,Lâ\9d© â\8a¢ â¬\88ð\9d\90\8d V & â\9d¨G,L.â\93\9bVâ\9d© ⊢ ⬈𝐍 T.
 #G #L #p #V1 #T1 #HVT1 @conj
 [ #V2 #HV2 lapply (HVT1 (ⓛ[p]V2.T1) ?) -HVT1 /2 width=2 by cpx_pair_sn/ -HV2
 | #T2 #HT2 lapply (HVT1 (ⓛ[p]V1.T2) ?) -HVT1 /2 width=2 by cpx_bind/ -HT2
@@ -39,8 +39,8 @@ qed-.
 
 (* Basic_2A1: was: cnx_inv_abbr *)
 lemma cnx_inv_abbr_neg (G) (L):
-      â\88\80V,T. â\9dªG,Lâ\9d« ⊢ ⬈𝐍 -ⓓV.T →
-      â\88§â\88§ â\9dªG,Lâ\9d« â\8a¢ â¬\88ð\9d\90\8d V & â\9dªG,L.â\93\93Vâ\9d« ⊢ ⬈𝐍 T.
+      â\88\80V,T. â\9d¨G,Lâ\9d© ⊢ ⬈𝐍 -ⓓV.T →
+      â\88§â\88§ â\9d¨G,Lâ\9d© â\8a¢ â¬\88ð\9d\90\8d V & â\9d¨G,L.â\93\93Vâ\9d© ⊢ ⬈𝐍 T.
 #G #L #V1 #T1 #HVT1 @conj
 [ #V2 #HV2 lapply (HVT1 (-ⓓV2.T1) ?) -HVT1 /2 width=2 by cpx_pair_sn/ -HV2
 | #T2 #HT2 lapply (HVT1 (-ⓓV1.T2) ?) -HVT1 /2 width=2 by cpx_bind/ -HT2
@@ -50,7 +50,7 @@ qed-.
 
 (* Basic_2A1: was: cnx_inv_eps *)
 lemma cnx_inv_cast (G) (L):
-      â\88\80V,T. â\9dªG,Lâ\9d« ⊢ ⬈𝐍 ⓝV.T → ⊥.
+      â\88\80V,T. â\9d¨G,Lâ\9d© ⊢ ⬈𝐍 ⓝV.T → ⊥.
 #G #L #V #T #H lapply (H T ?) -H
 /2 width=6 by cpx_eps, teqg_inv_pair_xy_y/
 qed-.
@@ -58,13 +58,13 @@ qed-.
 (* Basic properties *********************************************************)
 
 lemma cnx_sort (G) (L):
-      â\88\80s. â\9dªG,Lâ\9d« ⊢ ⬈𝐍 ⋆s.
+      â\88\80s. â\9d¨G,Lâ\9d© ⊢ ⬈𝐍 ⋆s.
 #G #L #s #X #H elim (cpx_inv_sort1 … H) -H
 /2 width=1 by teqg_sort/
 qed.
 
 lemma cnx_abst (G) (L):
-      â\88\80p,W,T. â\9dªG,Lâ\9d« â\8a¢ â¬\88ð\9d\90\8d W â\86\92 â\9dªG,L.â\93\9bWâ\9d« â\8a¢ â¬\88ð\9d\90\8d T â\86\92 â\9dªG,Lâ\9d« ⊢ ⬈𝐍 ⓛ[p]W.T.
+      â\88\80p,W,T. â\9d¨G,Lâ\9d© â\8a¢ â¬\88ð\9d\90\8d W â\86\92 â\9d¨G,L.â\93\9bWâ\9d© â\8a¢ â¬\88ð\9d\90\8d T â\86\92 â\9d¨G,Lâ\9d© ⊢ ⬈𝐍 ⓛ[p]W.T.
 #G #L #p #W #T #HW #HT #X #H
 elim (cpx_inv_abst1 … H) -H #W0 #T0 #HW0 #HT0 #H destruct
 @teqx_pair [ @HW | @HT ] // (**) (* auto fails because δ-expansion gets in the way *)