(* Properties with simple terms *********************************************)
(* Basic_2A1: includes: cpr_inv_appl1_simple *)
-lemma cpm_inv_appl1_simple: â\88\80n,h,G,L,V1,T1,U. â¦\83G,Lâ¦\84 â\8a¢ â\93\90V1.T1 â\9e¡[n,h] U â\86\92 ð\9d\90\92â¦\83T1â¦\84 →
- â\88\83â\88\83V2,T2. â¦\83G,Lâ¦\84 â\8a¢ V1 â\9e¡[h] V2 & â¦\83G,Lâ¦\84 ⊢ T1 ➡[n,h] T2 &
+lemma cpm_inv_appl1_simple: â\88\80n,h,G,L,V1,T1,U. â\9dªG,Lâ\9d« â\8a¢ â\93\90V1.T1 â\9e¡[n,h] 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] V2 & â\9dªG,Lâ\9d« ⊢ T1 ➡[n,h] T2 &
U = ⓐV2.T2.
#n #h #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