X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_transition%2Fcpx_simple.ma;h=d0b3e453e1ab52d7137604408a3e06e4e1bc8331;hb=bd53c4e895203eb049e75434f638f26b5a161a2b;hp=70e2d3dd3472e3f45e53b68715787c9d96833cba;hpb=7e80b8d7a4b2c38729512dee28b3e0ecf9595c2a;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_simple.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_simple.ma
index 70e2d3dd3..d0b3e453e 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_simple.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_simple.ma
@@ -15,10 +15,12 @@
 include "basic_2/rt_transition/cpg_simple.ma".
 include "basic_2/rt_transition/cpx.ma".
 
-(* UNCOUNTED CONTEXT-SENSITIVE PARALLEL REDUCTION FOR TERMS *****************)
+(* UNBOUND CONTEXT-SENSITIVE PARALLEL RT-TRANSITION FOR TERMS ***************)
 
-lemma cpx_inv_appl1_simple: ∀h,G,L,V1,T1,U. ⦃G, L⦄ ⊢ ⓐV1.T1 ➡[h] U → 𝐒⦃T1⦄ →
-                            ∃∃V2,T2. ⦃G, L⦄ ⊢ V1 ➡[h] V2 & ⦃G, L⦄ ⊢ T1 ➡[h] T2 &
+(* Inversion lemmas with simple terms ***************************************)
+
+lemma cpx_inv_appl1_simple: ∀h,G,L,V1,T1,U. ❪G,L❫ ⊢ ⓐV1.T1 ⬈[h] U → 𝐒❪T1❫ →
+                            ∃∃V2,T2. ❪G,L❫ ⊢ V1 ⬈[h] V2 & ❪G,L❫ ⊢ T1 ⬈[h] T2 &
                                      U = ⓐV2.T2.
 #h #G #L #V1 #T1 #U * #c #H #HT1 elim (cpg_inv_appl1_simple … H) -H
 /3 width=5 by ex3_2_intro, ex_intro/