(* Relocation properties ****************************************************)
-lemma cnx_lift: â\88\80h,g,G,L0,L,T,T0,s,d,e. â¦\83G, Lâ¦\84 â\8a¢ â\9e¡[h, g] ð\9d\90\8dâ¦\83Tâ¦\84 â\86\92 â\87©[s, d, e] L0 ≡ L →
- â\87§[d, e] T ≡ T0 → ⦃G, L0⦄ ⊢ ➡[h, g] 𝐍⦃T0⦄.
+lemma cnx_lift: â\88\80h,g,G,L0,L,T,T0,s,d,e. â¦\83G, Lâ¦\84 â\8a¢ â\9e¡[h, g] ð\9d\90\8dâ¦\83Tâ¦\84 â\86\92 â¬\87[s, d, e] L0 ≡ L →
+ â¬\86[d, e] T ≡ T0 → ⦃G, L0⦄ ⊢ ➡[h, g] 𝐍⦃T0⦄.
#h #g #G #L0 #L #T #T0 #s #d #e #HLT #HL0 #HT0 #X #H
elim (cpx_inv_lift1 … H … HL0 … HT0) -L0 #T1 #HT10 #HT1
<(HLT … HT1) in HT0; -L #HT0
>(lift_mono … HT10 … HT0) -T1 -X //
qed.
-lemma cnx_inv_lift: â\88\80h,g,G,L0,L,T,T0,s,d,e. â¦\83G, L0â¦\84 â\8a¢ â\9e¡[h, g] ð\9d\90\8dâ¦\83T0â¦\84 â\86\92 â\87©[s, d, e] L0 ≡ L →
- â\87§[d, e] T ≡ T0 → ⦃G, L⦄ ⊢ ➡[h, g] 𝐍⦃T⦄.
+lemma cnx_inv_lift: â\88\80h,g,G,L0,L,T,T0,s,d,e. â¦\83G, L0â¦\84 â\8a¢ â\9e¡[h, g] ð\9d\90\8dâ¦\83T0â¦\84 â\86\92 â¬\87[s, d, e] L0 ≡ L →
+ â¬\86[d, e] T ≡ T0 → ⦃G, L⦄ ⊢ ➡[h, g] 𝐍⦃T⦄.
#h #g #G #L0 #L #T #T0 #s #d #e #HLT0 #HL0 #HT0 #X #H
elim (lift_total X d e) #X0 #HX0
lapply (cpx_lift … H … HL0 … HT0 … HX0) -L #HTX0