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=c543e3f8610d51d2a95c068caebb388731081e77;hb=b0c6bbd5db69489a5ebd1b36de6685fa6de441b3;hp=7d4b85f06249ef0bb0f9ff78ba21ac99aff4f982;hpb=f308429a0fde273605a2330efc63268b4ac36c99;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 7d4b85f06..c543e3f86 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
@@ -20,10 +20,10 @@ include "basic_2/rt_transition/cpg.ma".
 (* Properties with simple terms *********************************************)
 
 (* Note: the main property of simple terms *)
-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 *
+lemma cpg_inv_appl1_simple (Rs) (Rk) (c) (G) (L):
+      ∀V1,T1,U. ❨G,L❩ ⊢ ⓐV1.T1 ⬈[Rs,Rk,c] U → 𝐒❨T1❩ →
+      ∃∃cV,cT,V2,T2. ❨G,L❩ ⊢ V1 ⬈[Rs,Rk,cV] V2 & ❨G,L❩ ⊢ T1 ⬈[Rs,Rk,cT] T2 & U = ⓐV2.T2 & c = ((↕*cV)∨cT).
+#Rs #Rk #c #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)