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15 include "basic_2/unfold/ldrops.ma".
16 include "basic_2/static/aaa_lift.ma".
18 (* ATONIC ARITY ASSIGNMENT ON TERMS *****************************************)
20 (* Properties concerning generic relocation *********************************)
22 lemma aaa_lifts: ∀L1,L2,T2,A,des. ⇩*[des] L2 ≡ L1 → ∀T1. ⇧*[des] T1 ≡ T2 →
23 L1 ⊢ T1 ⁝ A → L2 ⊢ T2 ⁝ A.
24 #L1 #L2 #T2 #A #des #H elim H -L1 -L2 -des
26 <(lifts_inv_nil … H) -H //
27 | #L1 #L #L2 #des #d #e #_ #HL2 #IHL1 #T1 #H #HT1
28 elim (lifts_inv_cons … H) -H /3 width=9/