X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_transition%2Fcpg_simple.ma;h=4785791d03bb84445f154b2bc4533273349df5c2;hb=bd53c4e895203eb049e75434f638f26b5a161a2b;hp=5dcf8ece0ffdff50a57f4da0c31bd06595481478;hpb=7e80b8d7a4b2c38729512dee28b3e0ecf9595c2a;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpg_simple.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpg_simple.ma
index 5dcf8ece0..4785791d0 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpg_simple.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpg_simple.ma
@@ -12,18 +12,18 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/grammar/term_simple.ma".
+include "static_2/syntax/term_simple.ma".
 include "basic_2/rt_transition/cpg.ma".
 
-(* COUNTED CONTEXT-SENSITIVE PARALLEL RT-TRANSITION FOR TERMS ***************)
+(* BOUND CONTEXT-SENSITIVE PARALLEL RT-TRANSITION FOR TERMS *****************)
 
 (* Properties with simple terms *********************************************)
 
 (* Note: the main property of simple terms *)
-lemma cpg_inv_appl1_simple: ∀c,h,G,L,V1,T1,U. ⦃G, L⦄ ⊢ ⓐV1.T1 ➡[c, h] U → 𝐒⦃T1⦄ →
-                            ∃∃cV,cT,V2,T2. ⦃G, L⦄ ⊢ V1 ➡[cV, h] V2 & ⦃G, L⦄ ⊢ T1 ➡[cT, h] T2 &
-                                           U = ⓐV2.T2 & c = (↓cV)+cT.
-#c #h #G #L #V1 #T1 #U #H #HT1 elim (cpg_inv_appl1 … H) -H *
+lemma cpg_inv_appl1_simple: ∀Rt,c,h,G,L,V1,T1,U. ❪G,L❫ ⊢ ⓐV1.T1 ⬈[Rt,c,h] U → 𝐒❪T1❫ →
+                            ∃∃cV,cT,V2,T2. ❪G,L❫ ⊢ V1 ⬈[Rt,cV,h] V2 & ❪G,L❫ ⊢ T1 ⬈[Rt,cT,h] T2 &
+                                           U = ⓐV2.T2 & c = ((↕*cV)∨cT).
+#Rt #c #h #G #L #V1 #T1 #U #H #HT1 elim (cpg_inv_appl1 … H) -H *
 [ /2 width=8 by ex4_4_intro/
 | #cV #cW #cT #p #V2 #W1 #W2 #U1 #U2 #_ #_ #_ #H destruct
   elim (simple_inv_bind … HT1)