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=02146309fead4ad02e2dada921fd0167475a1181;hb=3c7b4071a9ac096b02334c1d47468776b948e2de;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..02146309f 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
@@ -15,11 +15,13 @@
 include "basic_2/rt_transition/cpg_simple.ma".
 include "basic_2/rt_transition/cpx.ma".
 
-(* UNCOUNTED CONTEXT-SENSITIVE PARALLEL REDUCTION FOR TERMS *****************)
+(* EXTENDED 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 &
-                                     U = ⓐV2.T2.
-#h #G #L #V1 #T1 #U * #c #H #HT1 elim (cpg_inv_appl1_simple … H) -H
+(* Inversion lemmas with simple terms ***************************************)
+
+lemma cpx_inv_appl1_simple (G) (L):
+      ∀V1,T1,U. ❪G,L❫ ⊢ ⓐV1.T1 ⬈ U → 𝐒❪T1❫ →
+      ∃∃V2,T2. ❪G,L❫ ⊢ V1 ⬈ V2 & ❪G,L❫ ⊢ T1 ⬈ T2 & U = ⓐV2.T2.
+#G #L #V1 #T1 #U * #c #H #HT1 elim (cpg_inv_appl1_simple … H) -H
 /3 width=5 by ex3_2_intro, ex_intro/
 qed-.