(* Basic_1: was: csubc_drop1_conf_rev *)
lemma ldrops_lsubc_trans: ∀RR,RS,RP.
acp RR RS RP → acr RR RS RP (λL,T. RP L T) →
- ∀L1,K1,des. ⇩*[des] L1 ≡ K1 → ∀K2. K1 [RP] ⊑ K2 →
- ∃∃L2. L1 [RP] ⊑ L2 & ⇩*[des] L2 ≡ K2.
+ ∀L1,K1,des. ⇩*[des] L1 ≡ K1 → ∀K2. K1 ⊑[RP] K2 →
+ ∃∃L2. L1 ⊑[RP] L2 & ⇩*[des] L2 ≡ K2.
#RR #RS #RP #Hacp #Hacr #L1 #K1 #des #H elim H -L1 -K1 -des
[ /2 width=3/
| #L1 #L #K1 #des #d #e #_ #HLK1 #IHL #K2 #HK12