(* Properties with simple terms *********************************************)
(* Note: the main property of simple terms *)
-lemma cpg_inv_appl1_simple: â\88\80Rt,c,h,G,L,V1,T1,U. â¦\83G,Lâ¦\84 â\8a¢ â\93\90V1.T1 â¬\88[Rt,c,h] U â\86\92 ð\9d\90\92â¦\83T1â¦\84 →
- â\88\83â\88\83cV,cT,V2,T2. â¦\83G,Lâ¦\84 â\8a¢ V1 â¬\88[Rt,cV,h] V2 & â¦\83G,Lâ¦\84 ⊢ T1 ⬈[Rt,cT,h] T2 &
+lemma cpg_inv_appl1_simple: â\88\80Rt,c,h,G,L,V1,T1,U. â\9dªG,Lâ\9d« â\8a¢ â\93\90V1.T1 â¬\88[Rt,c,h] U â\86\92 ð\9d\90\92â\9dªT1â\9d« →
+ â\88\83â\88\83cV,cT,V2,T2. â\9dªG,Lâ\9d« â\8a¢ V1 â¬\88[Rt,cV,h] V2 & â\9dªG,Lâ\9d« ⊢ T1 ⬈[Rt,cT,h] T2 &
U = ⓐV2.T2 & c = ((↕*cV)∨cT).
#Rt #c #h #G #L #V1 #T1 #U #H #HT1 elim (cpg_inv_appl1 … H) -H *
[ /2 width=8 by ex4_4_intro/