(* *)
(**************************************************************************)
+include "basic_2/relocation/lifts_tdeq.ma".
include "basic_2/rt_transition/cpx_drops.ma".
include "basic_2/rt_transition/cnx.ma".
#I #K #V1 #V2 #HLK lapply (drops_mono … Hi … HLK) -L #H destruct
qed.
+(* Basic_2A1: includes: cnx_lift *)
+lemma cnx_lifts: ∀h,o,G. d_liftable1 … (cnx h o G).
+#h #o #G #K #T #HT #b #f #L #HLK #U #HTU #U0 #H
+elim (cpx_inv_lifts_sn … H … HLK … HTU) -b -L #T0 #HTU0 #HT0
+lapply (HT … HT0) -G -K /2 width=6 by tdeq_lifts_bi/
+qed-.
+
(* Inversion lemmas with generic slicing ************************************)
(* Basic_2A1: was: cnx_inv_delta *)
/2 width=5 by lifts_inv_lref2_uni_lt/
qed-.
-(*
-(* Relocation properties ****************************************************)
-
-lemma cnx_lift: ∀h,o,G,L0,L,T,T0,c,l,k. ⦃G, L⦄ ⊢ ➡[h, o] 𝐍⦃T⦄ → ⬇[c, l, k] L0 ≡ L →
- ⬆[l, k] T ≡ T0 → ⦃G, L0⦄ ⊢ ➡[h, o] 𝐍⦃T0⦄.
-#h #o #G #L0 #L #T #T0 #c #l #k #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: ∀h,o,G,L0,L,T,T0,c,l,k. ⦃G, L0⦄ ⊢ ➡[h, o] 𝐍⦃T0⦄ → ⬇[c, l, k] L0 ≡ L →
- ⬆[l, k] T ≡ T0 → ⦃G, L⦄ ⊢ ➡[h, o] 𝐍⦃T⦄.
-#h #o #G #L0 #L #T #T0 #c #l #k #HLT0 #HL0 #HT0 #X #H
-elim (lift_total X l k) #X0 #HX0
-lapply (cpx_lift … H … HL0 … HT0 … HX0) -L #HTX0
->(HLT0 … HTX0) in HX0; -L0 -X0 #H
->(lift_inj … H … HT0) -T0 -X -l -k //
+(* Basic_2A1: includes: cnx_inv_lift *)
+lemma cnx_inv_lifts: ∀h,o,G. d_deliftable1 … (cnx h o G).
+#h #o #G #L #U #HU #b #f #K #HLK #T #HTU #T0 #H
+elim (cpx_lifts_sn … H … HLK … HTU) -b -K #U0 #HTU0 #HU0
+lapply (HU … HU0) -G -L /2 width=6 by tdeq_inv_lifts_bi/
qed-.
-*)