-lemma cpg_inv_appl1_simple: ∀c,h,G,L,V1,T1,U. ⦃G, L⦄ ⊢ ⓐV1.T1 ⬈[c, h] U → 𝐒⦃T1⦄ →
- â\88\83â\88\83cV,cT,V2,T2. â¦\83G, Lâ¦\84 â\8a¢ V1 â¬\88[cV, h] V2 & â¦\83G, Lâ¦\84 â\8a¢ T1 â¬\88[cT, h] T2 &
- U = â\93\90V2.T2 & c = ((â\86\93cV)∨cT).
-#c #h #G #L #V1 #T1 #U #H #HT1 elim (cpg_inv_appl1 … H) -H *
+lemma cpg_inv_appl1_simple: ∀Rt,c,h,G,L,V1,T1,U. ❪G,L❫ ⊢ ⓐV1.T1 ⬈[Rt,c,h] U → 𝐒❪T1❫ →
+ 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« â\8a¢ T1 â¬\88[Rt,cT,h] T2 &
+ U = â\93\90V2.T2 & c = ((â\86\95*cV)∨cT).
+#Rt #c #h #G #L #V1 #T1 #U #H #HT1 elim (cpg_inv_appl1 … H) -H *