(* Properties on relocation *************************************************)
lemma crr_lift: ∀K,T. K ⊢ 𝐑⦃T⦄ → ∀L,d,e. ⇩[d, e] L ≡ K →
- ∀U. ⇧[d, e] T ≡ U → L ⊢ 𝐑⦃U⦄.
+ ∀U. ⇧[d, e] T ≡ U → ⦃G, L⦄ ⊢ 𝐑⦃U⦄.
#K #T #H elim H -K -T
[ #K #K0 #V #i #HK0 #L #d #e #HLK #X #H
elim (lift_inv_lref1 … H) -H * #Hid #H destruct
]
qed.
-lemma crr_inv_lift: ∀L,U. L ⊢ 𝐑⦃U⦄ → ∀K,d,e. ⇩[d, e] L ≡ K →
+lemma crr_inv_lift: ∀L,U. ⦃G, L⦄ ⊢ 𝐑⦃U⦄ → ∀K,d,e. ⇩[d, e] L ≡ K →
∀T. ⇧[d, e] T ≡ U → K ⊢ 𝐑⦃T⦄.
#L #U #H elim H -L -U
[ #L #L0 #W #i #HK0 #K #d #e #HLK #X #H