milestone update in basic_2, update in ground and static_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_computation / csx_simple.ma

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 1fbc8de21a1cc0f16f08b07cbe8b6bd5eda85480..1f732d61de1301712fd21341983588b9f64ead04 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_simple.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_simple.ma
@@ -15,15 +15,15 @@
 include "basic_2/rt_transition/cpx_simple.ma".
 include "basic_2/rt_computation/csx_csx.ma".
 
-(* STRONGLY NORMALIZING TERMS FOR UNBOUND PARALLEL RT-TRANSITION ************)
+(* STRONGLY NORMALIZING TERMS FOR EXTENDED PARALLEL RT-TRANSITION ***********)
 
 (* Properties with simple terms *********************************************)
 
-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
+lemma csx_appl_simple (G) (L):
+      ∀V. ❪G,L❫ ⊢ ⬈*𝐒 V → ∀T1.
+      (∀T2. ❪G,L❫ ⊢ T1 ⬈ T2 → (T1 ≛ T2 → ⊥) → ❪G,L❫ ⊢ ⬈*𝐒 ⓐV.T2) →
+      𝐒❪T1❫ → ❪G,L❫ ⊢ ⬈*𝐒 ⓐV.T1.
+#G #L #V #H @(csx_ind … H) -V
 #V #_ #IHV #T1 #IHT1 #HT1
 @csx_intro #X #H1 #H2
 elim (cpx_inv_appl1_simple … H1) // -H1