(* Properties with simple terms *********************************************)
(* Basic_2A1: includes: cpr_inv_appl1_simple *)
-lemma cpm_inv_appl1_simple: â\88\80h,n,G,L,V1,T1,U. â\9dªG,Lâ\9d« â\8a¢ â\93\90V1.T1 â\9e¡[h,n] U â\86\92 ð\9d\90\92â\9dªT1â\9d« →
- â\88\83â\88\83V2,T2. â\9dªG,Lâ\9d« â\8a¢ V1 â\9e¡[h,0] V2 & â\9dªG,Lâ\9d« ⊢ T1 ➡[h,n] T2 &
+lemma cpm_inv_appl1_simple: â\88\80h,n,G,L,V1,T1,U. â\9d¨G,Lâ\9d© â\8a¢ â\93\90V1.T1 â\9e¡[h,n] U â\86\92 ð\9d\90\92â\9d¨T1â\9d© →
+ â\88\83â\88\83V2,T2. â\9d¨G,Lâ\9d© â\8a¢ V1 â\9e¡[h,0] V2 & â\9d¨G,Lâ\9d© ⊢ T1 ➡[h,n] T2 &
U = ⓐV2.T2.
#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