]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpm_simple.ma
update in basic_2 and apps_2
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_transition / cpm_simple.ma
index 33bd855b6b38bac50f7f8072eacd99571cbb0c6c..3b81e99bdb6a2470bb24f3dc6bb989bc397ff8b3 100644 (file)
@@ -20,10 +20,10 @@ include "basic_2/rt_transition/cpm.ma".
 (* Properties with simple terms *********************************************)
 
 (* Basic_2A1: includes: cpr_inv_appl1_simple *)
-lemma cpm_inv_appl1_simple: ∀n,h,G,L,V1,T1,U. ❪G,L❫ ⊢ ⓐV1.T1 ➡[n,h] U → 𝐒❪T1❫ →
-                            ∃∃V2,T2. ❪G,L❫ ⊢ V1 ➡[h] V2 & ❪G,L❫ ⊢ T1 ➡[n,h] T2 &
+lemma cpm_inv_appl1_simple: ∀h,n,G,L,V1,T1,U. ❪G,L❫ ⊢ ⓐV1.T1 ➡[h,n] U → 𝐒❪T1❫ →
+                            ∃∃V2,T2. ❪G,L❫ ⊢ V1 ➡[h,0] V2 & ❪G,L❫ ⊢ T1 ➡[h,n] T2 &
                                      U = ⓐV2.T2.
-#n #h #G #L #V1 #T1 #U * #c #Hc #H #HT1 elim (cpg_inv_appl1_simple … H HT1) -H -HT1
+#h #n #G #L #V1 #T1 #U * #c #Hc #H #HT1 elim (cpg_inv_appl1_simple … H HT1) -H -HT1
 #cV #cT #V2 #T2 #HV12 #HT12 #H1 #H2 destruct elim (isrt_inv_max … Hc) -Hc
 #nV #nT #HnV #HnT #H destruct elim (isrt_inv_shift … HnV) -HnV
 #HnV #H destruct /3 width=5 by ex3_2_intro, ex2_intro/