X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Fcpxs_drops.ma;h=7f617b13aa267e0ceef7cb942c0af034d78bc723;hb=bd53c4e895203eb049e75434f638f26b5a161a2b;hp=0fd54e95ac94f0c5ab05ba76c7f6b96bd971fb46;hpb=75f395f0febd02de8e0f881d918a8812b1425c8d;p=helm.git

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 0fd54e95a..7f617b13a 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_drops.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_drops.ma
@@ -12,52 +12,52 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/relocation/drops_lstar.ma".
+include "static_2/relocation/drops_ctc.ma".
 include "basic_2/rt_transition/cpx_drops.ma".
 include "basic_2/rt_computation/cpxs.ma".
 
-(* UNCOUNTED CONTEXT-SENSITIVE PARALLEL RT-COMPUTATION FOR TERMS ************)
+(* UNBOUND CONTEXT-SENSITIVE PARALLEL RT-COMPUTATION FOR TERMS **************)
 
 (* Advanced properties ******************************************************)
 
-lemma cpxs_delta: ∀h,I,G,K,V1,V2. ⦃G, K⦄ ⊢ V1 ⬈*[h] V2 →
-                  ∀W2. ⬆*[1] V2 ≘ W2 → ⦃G, K.ⓑ{I}V1⦄ ⊢ #0 ⬈*[h] W2.
+lemma cpxs_delta: ∀h,I,G,K,V1,V2. ❪G,K❫ ⊢ V1 ⬈*[h] V2 →
+                  ∀W2. ⇧*[1] V2 ≘ W2 → ❪G,K.ⓑ[I]V1❫ ⊢ #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 (𝐔❴1❵))
+  elim (lifts_total V (𝐔❨1❩))
   /5 width=11 by cpxs_strap1, cpx_lifts_bi, drops_refl, drops_drop/
 ]
 qed.
 
-lemma cpxs_lref: ∀h,I,G,K,T,i. ⦃G, K⦄ ⊢ #i ⬈*[h] T →
-                 ∀U. ⬆*[1] T ≘ U → ⦃G, K.ⓘ{I}⦄ ⊢ #⫯i ⬈*[h] U.
+lemma cpxs_lref: ∀h,I,G,K,T,i. ❪G,K❫ ⊢ #i ⬈*[h] T →
+                 ∀U. ⇧*[1] T ≘ U → ❪G,K.ⓘ[I]❫ ⊢ #↑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 (𝐔❴1❵))
+  elim (lifts_total T0 (𝐔❨1❩))
   /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 →
-                        ∀W2. ⬆*[⫯i] V2 ≘ W2 → ⦃G, L⦄ ⊢ #i ⬈*[h] W2.
+                        ⇩*[i] L ≘ K.ⓑ[I]V1 → ❪G,K❫ ⊢ V1 ⬈*[h] V2 →
+                        ∀W2. ⇧*[↑i] V2 ≘ W2 → ❪G,L❫ ⊢ #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 (𝐔❴⫯i❵))
+  elim (lifts_total V (𝐔❨↑i❩))
   /4 width=11 by cpxs_strap1, cpx_lifts_bi, drops_isuni_fwd_drop2/
 ]
 qed.
 
 (* Advanced inversion lemmas ************************************************)
 
-lemma cpxs_inv_zero1: ∀h,G,L,T2. ⦃G, L⦄ ⊢ #0 ⬈*[h] T2 →
+lemma cpxs_inv_zero1: ∀h,G,L,T2. ❪G,L❫ ⊢ #0 ⬈*[h] T2 →
                       T2 = #0 ∨
-                      ∃∃I,K,V1,V2. ⦃G, K⦄ ⊢ V1 ⬈*[h] V2 & ⬆*[1] V2 ≘ T2 &
-                                   L = K.ⓑ{I}V1.
+                      ∃∃I,K,V1,V2. ❪G,K❫ ⊢ 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: ∀h,G,L,T2,i. ⦃G, L⦄ ⊢ #⫯i ⬈*[h] T2 →
-                      T2 = #(⫯i) ∨
-                      ∃∃I,K,T. ⦃G, K⦄ ⊢ #i ⬈*[h] T & ⬆*[1] T ≘ T2 & L = K.ⓘ{I}.
+lemma cpxs_inv_lref1: ∀h,G,L,T2,i. ❪G,L❫ ⊢ #↑i ⬈*[h] T2 →
+                      T2 = #(↑i) ∨
+                      ∃∃I,K,T. ❪G,K❫ ⊢ #i ⬈*[h] T & ⇧*[1] T ≘ T2 & L = K.ⓘ[I].
 #h #G #L #T2 #i #H @(cpxs_ind … H) -T2 /2 width=1 by or_introl/
 #T #T2 #_ #HT2 *
 [ #H destruct
@@ -84,10 +84,10 @@ 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: ∀h,G,L,T2,i. ⦃G, L⦄ ⊢ #i ⬈*[h] T2 →
+lemma cpxs_inv_lref1_drops: ∀h,G,L,T2,i. ❪G,L❫ ⊢ #i ⬈*[h] T2 →
                             T2 = #i ∨
-                            ∃∃I,K,V1,T1. ⬇*[i] L ≘ K.ⓑ{I}V1 & ⦃G, K⦄ ⊢ V1 ⬈*[h] T1 &
-                                         ⬆*[⫯i] T1 ≘ T2.
+                            ∃∃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 *
 [ #H destruct