(* Properties on relocation *************************************************)
-lemma crr_lift: â\88\80G,K,T. â¦\83G, Kâ¦\84 â\8a¢ â\9e¡ ð\9d\90\91â¦\83Tâ¦\84 â\86\92 â\88\80L,s,d,e. â\87©[s, d, e] L ≡ K →
- â\88\80U. â\87§[d, e] T ≡ U → ⦃G, L⦄ ⊢ ➡ 𝐑⦃U⦄.
+lemma crr_lift: â\88\80G,K,T. â¦\83G, Kâ¦\84 â\8a¢ â\9e¡ ð\9d\90\91â¦\83Tâ¦\84 â\86\92 â\88\80L,s,d,e. â¬\87[s, d, e] L ≡ K →
+ â\88\80U. â¬\86[d, e] T ≡ U → ⦃G, L⦄ ⊢ ➡ 𝐑⦃U⦄.
#G #K #T #H elim H -K -T
[ #K #K0 #V #i #HK0 #L #s #d #e #HLK #X #H
elim (lift_inv_lref1 … H) -H * #Hid #H destruct
]
qed.
-lemma crr_inv_lift: â\88\80G,L,U. â¦\83G, Lâ¦\84 â\8a¢ â\9e¡ ð\9d\90\91â¦\83Uâ¦\84 â\86\92 â\88\80K,s,d,e. â\87©[s, d, e] L ≡ K →
- â\88\80T. â\87§[d, e] T ≡ U → ⦃G, K⦄ ⊢ ➡ 𝐑⦃T⦄.
+lemma crr_inv_lift: â\88\80G,L,U. â¦\83G, Lâ¦\84 â\8a¢ â\9e¡ ð\9d\90\91â¦\83Uâ¦\84 â\86\92 â\88\80K,s,d,e. â¬\87[s, d, e] L ≡ K →
+ â\88\80T. â¬\86[d, e] T ≡ U → ⦃G, K⦄ ⊢ ➡ 𝐑⦃T⦄.
#G #L #U #H elim H -L -U
[ #L #L0 #W #i #HK0 #K #s #d #e #HLK #X #H
elim (lift_inv_lref2 … H) -H * #Hid #H destruct