update in ground_2, static_2, basic_2, apps_2, alpha_1

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_computation / cpxs_drops.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_drops.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_drops.ma
index 92c0ca4b611b72d97f7ee3ee6d05d41280e128e9..7f617b13aa267e0ceef7cb942c0af034d78bc723 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_drops.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_drops.ma
@@ -20,44 +20,44 @@ include "basic_2/rt_computation/cpxs.ma".
 
 (* Advanced properties ******************************************************)
 
-lemma cpxs_delta: â\88\80h,I,G,K,V1,V2. â¦\83G,Kâ¦\84 ⊢ V1 ⬈*[h] V2 →
-                  â\88\80W2. â\87§*[1] V2 â\89\98 W2 â\86\92 â¦\83G,K.â\93\91{I}V1â¦\84 ⊢ #0 ⬈*[h] W2.
+lemma cpxs_delta: â\88\80h,I,G,K,V1,V2. â\9dªG,Kâ\9d« ⊢ V1 ⬈*[h] V2 →
+                  â\88\80W2. â\87§*[1] V2 â\89\98 W2 â\86\92 â\9dªG,K.â\93\91[I]V1â\9d« ⊢ #0 ⬈*[h] W2.
 #h #I #G #K #V1 #V2 #H @(cpxs_ind … H) -V2
 [ /3 width=3 by cpx_cpxs, cpx_delta/
 | #V #V2 #_ #HV2 #IH #W2 #HVW2
-  elim (lifts_total V (ð\9d\90\94â\9d´1â\9dµ))
+  elim (lifts_total V (ð\9d\90\94â\9d¨1â\9d©))
   /5 width=11 by cpxs_strap1, cpx_lifts_bi, drops_refl, drops_drop/
 ]
 qed.
 
-lemma cpxs_lref: â\88\80h,I,G,K,T,i. â¦\83G,Kâ¦\84 ⊢ #i ⬈*[h] T →
-                 â\88\80U. â\87§*[1] T â\89\98 U â\86\92 â¦\83G,K.â\93\98{I}â¦\84 ⊢ #↑i ⬈*[h] U.
+lemma cpxs_lref: â\88\80h,I,G,K,T,i. â\9dªG,Kâ\9d« ⊢ #i ⬈*[h] T →
+                 â\88\80U. â\87§*[1] T â\89\98 U â\86\92 â\9dªG,K.â\93\98[I]â\9d« ⊢ #↑i ⬈*[h] U.
 #h #I #G #K #T #i #H @(cpxs_ind … H) -T
 [ /3 width=3 by cpx_cpxs, cpx_lref/
 | #T0 #T #_ #HT2 #IH #U #HTU
-  elim (lifts_total T0 (ð\9d\90\94â\9d´1â\9dµ))
+  elim (lifts_total T0 (ð\9d\90\94â\9d¨1â\9d©))
   /5 width=11 by cpxs_strap1, cpx_lifts_bi, drops_refl, drops_drop/
 ]
 qed.
 
 (* Basic_2A1: was: cpxs_delta *)
 lemma cpxs_delta_drops: ∀h,I,G,L,K,V1,V2,i.
-                        ⇩*[i] L ≘ K.ⓑ{I}V1 → ⦃G,K⦄ ⊢ V1 ⬈*[h] V2 →
-                        â\88\80W2. â\87§*[â\86\91i] V2 â\89\98 W2 â\86\92 â¦\83G,Lâ¦\84 ⊢ #i ⬈*[h] W2.
+                        ⇩*[i] L ≘ K.ⓑ[I]V1 → ❪G,K❫ ⊢ V1 ⬈*[h] V2 →
+                        â\88\80W2. â\87§*[â\86\91i] V2 â\89\98 W2 â\86\92 â\9dªG,Lâ\9d« ⊢ #i ⬈*[h] W2.
 #h #I #G #L #K #V1 #V2 #i #HLK #H @(cpxs_ind … H) -V2
 [ /3 width=7 by cpx_cpxs, cpx_delta_drops/
 | #V #V2 #_ #HV2 #IH #W2 #HVW2
-  elim (lifts_total V (ð\9d\90\94â\9d´â\86\91iâ\9dµ))
+  elim (lifts_total V (ð\9d\90\94â\9d¨â\86\91iâ\9d©))
   /4 width=11 by cpxs_strap1, cpx_lifts_bi, drops_isuni_fwd_drop2/
 ]
 qed.
 
 (* Advanced inversion lemmas ************************************************)
 
-lemma cpxs_inv_zero1: â\88\80h,G,L,T2. â¦\83G,Lâ¦\84 ⊢ #0 ⬈*[h] T2 →
+lemma cpxs_inv_zero1: â\88\80h,G,L,T2. â\9dªG,Lâ\9d« ⊢ #0 ⬈*[h] T2 →
                       T2 = #0 ∨
-                      â\88\83â\88\83I,K,V1,V2. â¦\83G,Kâ¦\84 ⊢ V1 ⬈*[h] V2 & ⇧*[1] V2 ≘ T2 &
-                                   L = K.ⓑ{I}V1.
+                      â\88\83â\88\83I,K,V1,V2. â\9dªG,Kâ\9d« ⊢ V1 ⬈*[h] V2 & ⇧*[1] V2 ≘ T2 &
+                                   L = K.ⓑ[I]V1.
 #h #G #L #T2 #H @(cpxs_ind … H) -T2 /2 width=1 by or_introl/
 #T #T2 #_ #HT2 *
 [ #H destruct
@@ -69,9 +69,9 @@ lemma cpxs_inv_zero1: ∀h,G,L,T2. ⦃G,L⦄ ⊢ #0 ⬈*[h] T2 →
 ]
 qed-.
 
-lemma cpxs_inv_lref1: â\88\80h,G,L,T2,i. â¦\83G,Lâ¦\84 ⊢ #↑i ⬈*[h] T2 →
+lemma cpxs_inv_lref1: â\88\80h,G,L,T2,i. â\9dªG,Lâ\9d« ⊢ #↑i ⬈*[h] T2 →
                       T2 = #(↑i) ∨
-                      â\88\83â\88\83I,K,T. â¦\83G,Kâ¦\84 â\8a¢ #i â¬\88*[h] T & â\87§*[1] T â\89\98 T2 & L = K.â\93\98{I}.
+                      â\88\83â\88\83I,K,T. â\9dªG,Kâ\9d« â\8a¢ #i â¬\88*[h] T & â\87§*[1] T â\89\98 T2 & L = K.â\93\98[I].
 #h #G #L #T2 #i #H @(cpxs_ind … H) -T2 /2 width=1 by or_introl/
 #T #T2 #_ #HT2 *
 [ #H destruct
@@ -84,9 +84,9 @@ lemma cpxs_inv_lref1: ∀h,G,L,T2,i. ⦃G,L⦄ ⊢ #↑i ⬈*[h] T2 →
 qed-.
 
 (* Basic_2A1: was: cpxs_inv_lref1 *)
-lemma cpxs_inv_lref1_drops: â\88\80h,G,L,T2,i. â¦\83G,Lâ¦\84 ⊢ #i ⬈*[h] T2 →
+lemma cpxs_inv_lref1_drops: â\88\80h,G,L,T2,i. â\9dªG,Lâ\9d« ⊢ #i ⬈*[h] T2 →
                             T2 = #i ∨
-                            ∃∃I,K,V1,T1. ⇩*[i] L ≘ K.ⓑ{I}V1 & ⦃G,K⦄ ⊢ V1 ⬈*[h] T1 &
+                            ∃∃I,K,V1,T1. ⇩*[i] L ≘ K.ⓑ[I]V1 & ❪G,K❫ ⊢ V1 ⬈*[h] T1 &
                                          ⇧*[↑i] T1 ≘ T2.
 #h #G #L #T2 #i #H @(cpxs_ind … H) -T2 /2 width=1 by or_introl/
 #T #T2 #_ #HT2 *