theorem aacr_aaa_csubc_lifts: ∀RR,RS,RP.
acp RR RS RP → acr RR RS RP (λG,L,T. RP G L T) →
∀G,L1,T,A. ⦃G, L1⦄ ⊢ T ⁝ A → ∀L0,des. ⇩*[Ⓕ, des] L0 ≡ L1 →
- â\88\80T0. â\87§*[des] T â\89¡ T0 â\86\92 â\88\80L2. G â\8a¢ L2 â\8a\91[RP] L0 →
+ â\88\80T0. â\87§*[des] T â\89¡ T0 â\86\92 â\88\80L2. G â\8a¢ L2 â«\83[RP] L0 →
⦃G, L2, T0⦄ ϵ[RP] 〚A〛.
#RR #RS #RP #H1RP #H2RP #G #L1 #T #A #H elim H -G -L1 -T -A
[ #G #L #k #L0 #des #HL0 #X #H #L2 #HL20