update in ground_2, static_2, basic_2, apps_2, alpha_1

[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 0f45712626b3851ad7a6558089fd38632613cd75..4b9059643cf1676c9f0b83e38db9581a3b684821 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnx.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnx.ma
@@ -27,18 +27,18 @@ interpretation
 
 (* Basic inversion lemmas ***************************************************)
 
-lemma cnx_inv_abst: â\88\80h,p,G,L,V,T. â¦\83G,Lâ¦\84 â\8a¢ â¬\88[h] ð\9d\90\8dâ¦\83â\93\9b{p}V.Tâ¦\84 →
-                    â¦\83G,Lâ¦\84 â\8a¢ â¬\88[h] ð\9d\90\8dâ¦\83Vâ¦\84 â\88§ â¦\83G,L.â\93\9bVâ¦\84 â\8a¢ â¬\88[h] ð\9d\90\8dâ¦\83Tâ¦\84.
+lemma cnx_inv_abst: â\88\80h,p,G,L,V,T. â\9dªG,Lâ\9d« â\8a¢ â¬\88[h] ð\9d\90\8dâ\9dªâ\93\9b[p]V.Tâ\9d« →
+                    â\9dªG,Lâ\9d« â\8a¢ â¬\88[h] ð\9d\90\8dâ\9dªVâ\9d« â\88§ â\9dªG,L.â\93\9bVâ\9d« â\8a¢ â¬\88[h] ð\9d\90\8dâ\9dªTâ\9d«.
 #h #p #G #L #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
+[ #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
 ]
 #H elim (teqx_inv_pair … H) -H //
 qed-.
 
 (* Basic_2A1: was: cnx_inv_abbr *)
-lemma cnx_inv_abbr_neg: â\88\80h,G,L,V,T. â¦\83G,Lâ¦\84 â\8a¢ â¬\88[h] ð\9d\90\8dâ¦\83-â\93\93V.Tâ¦\84 →
-                        â¦\83G,Lâ¦\84 â\8a¢ â¬\88[h] ð\9d\90\8dâ¦\83Vâ¦\84 â\88§ â¦\83G,L.â\93\93Vâ¦\84 â\8a¢ â¬\88[h] ð\9d\90\8dâ¦\83Tâ¦\84.
+lemma cnx_inv_abbr_neg: â\88\80h,G,L,V,T. â\9dªG,Lâ\9d« â\8a¢ â¬\88[h] ð\9d\90\8dâ\9dª-â\93\93V.Tâ\9d« →
+                        â\9dªG,Lâ\9d« â\8a¢ â¬\88[h] ð\9d\90\8dâ\9dªVâ\9d« â\88§ â\9dªG,L.â\93\93Vâ\9d« â\8a¢ â¬\88[h] ð\9d\90\8dâ\9dªTâ\9d«.
 #h #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
@@ -47,20 +47,20 @@ lemma cnx_inv_abbr_neg: ∀h,G,L,V,T. ⦃G,L⦄ ⊢ ⬈[h] 𝐍⦃-ⓓV.T⦄ →
 qed-.
 
 (* Basic_2A1: was: cnx_inv_eps *)
-lemma cnx_inv_cast: â\88\80h,G,L,V,T. â¦\83G,Lâ¦\84 â\8a¢ â¬\88[h] ð\9d\90\8dâ¦\83â\93\9dV.Tâ¦\84 → ⊥.
+lemma cnx_inv_cast: â\88\80h,G,L,V,T. â\9dªG,Lâ\9d« â\8a¢ â¬\88[h] ð\9d\90\8dâ\9dªâ\93\9dV.Tâ\9d« → ⊥.
 #h #G #L #V #T #H lapply (H T ?) -H
 /2 width=6 by cpx_eps, teqx_inv_pair_xy_y/
 qed-.
 
 (* Basic properties *********************************************************)
 
-lemma cnx_sort: â\88\80h,G,L,s. â¦\83G,Lâ¦\84 â\8a¢ â¬\88[h] ð\9d\90\8dâ¦\83â\8b\86sâ¦\84.
+lemma cnx_sort: â\88\80h,G,L,s. â\9dªG,Lâ\9d« â\8a¢ â¬\88[h] ð\9d\90\8dâ\9dªâ\8b\86sâ\9d«.
 #h #G #L #s #X #H elim (cpx_inv_sort1 … H) -H
 /2 width=1 by teqx_sort/
 qed.
 
-lemma cnx_abst: â\88\80h,p,G,L,W,T. â¦\83G,Lâ¦\84 â\8a¢ â¬\88[h] ð\9d\90\8dâ¦\83Wâ¦\84 â\86\92 â¦\83G,L.â\93\9bWâ¦\84 â\8a¢ â¬\88[h] ð\9d\90\8dâ¦\83Tâ¦\84 →
-                â¦\83G,Lâ¦\84 â\8a¢ â¬\88[h] ð\9d\90\8dâ¦\83â\93\9b{p}W.Tâ¦\84.
+lemma cnx_abst: â\88\80h,p,G,L,W,T. â\9dªG,Lâ\9d« â\8a¢ â¬\88[h] ð\9d\90\8dâ\9dªWâ\9d« â\86\92 â\9dªG,L.â\93\9bWâ\9d« â\8a¢ â¬\88[h] ð\9d\90\8dâ\9dªTâ\9d« →
+                â\9dªG,Lâ\9d« â\8a¢ â¬\88[h] ð\9d\90\8dâ\9dªâ\93\9b[p]W.Tâ\9d«.
 #h #p #G #L #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 *)