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4 (* ||A|| A project by Andrea Asperti *)
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7 (* ||T|| The HELM team. *)
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15 include "basic_2/relocation/lift_lift.ma".
16 include "basic_2/relocation/lift_vector.ma".
18 (* BASIC TERM VECTOR RELOCATION *********************************************)
20 (* Main properies ***********************************************************)
22 theorem liftv_mono: ∀Ts,U1s,d,e. ⇧[d,e] Ts ≡ U1s →
23 ∀U2s:list term. ⇧[d,e] Ts ≡ U2s → U1s = U2s.
24 #Ts #U1s #d #e #H elim H -Ts -U1s
25 [ #U2s #H >(liftv_inv_nil1 … H) -H //
26 | #Ts #U1s #T #U1 #HTU1 #_ #IHTU1s #X #H destruct
27 elim (liftv_inv_cons1 … H) -H #U2 #U2s #HTU2 #HTU2s #H destruct
28 >(lift_mono … HTU1 … HTU2) -T /3 width=1/