X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Fcsx_simple.ma;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Fcsx_simple.ma;h=1fbc8de21a1cc0f16f08b07cbe8b6bd5eda85480;hb=57ae1762497a5f3ea75740e2908e04adb8642cc2;hp=765cc7a3c42bf96d173af3356b5c4efaef7a338b;hpb=ca7327c20c6031829fade8bb84a3a1bb66113f54;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_simple.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_simple.ma
index 765cc7a3c..1fbc8de21 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_simple.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_simple.ma
@@ -19,9 +19,10 @@ include "basic_2/rt_computation/csx_csx.ma".
 
 (* Properties with simple terms *********************************************)
 
-lemma csx_appl_simple: ∀h,G,L,V. ❪G,L❫ ⊢ ⬈*[h] 𝐒❪V❫ → ∀T1.
-                       (∀T2. ❪G,L❫ ⊢ T1 ⬈[h] T2 → (T1 ≛ T2 → ⊥) → ❪G,L❫ ⊢ ⬈*[h] 𝐒❪ⓐV.T2❫) →
-                       𝐒❪T1❫ → ❪G,L❫ ⊢ ⬈*[h] 𝐒❪ⓐV.T1❫.
+lemma csx_appl_simple (h) (G) (L):
+      ∀V. ❪G,L❫ ⊢ ⬈*𝐒[h] V → ∀T1.
+      (∀T2. ❪G,L❫ ⊢ T1 ⬈[h] T2 → (T1 ≛ T2 → ⊥) → ❪G,L❫ ⊢ ⬈*𝐒[h] ⓐV.T2) →
+      𝐒❪T1❫ → ❪G,L❫ ⊢ ⬈*𝐒[h] ⓐV.T1.
 #h #G #L #V #H @(csx_ind … H) -V
 #V #_ #IHV #T1 #IHT1 #HT1
 @csx_intro #X #H1 #H2