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4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
8 (* ||A|| http://helm.cs.unibo.it *)
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15 include "static_2/relocation/lifts_tueq.ma".
16 include "basic_2/rt_transition/cnu.ma".
18 (* NORMAL TERMS FOR T-UNUNBOUND RT-TRANSITION *******************************)
20 (* Advanced properties with uniform relocation for terms ********************)
22 lemma cnu_lref (h) (I) (G) (L):
23 ∀i. ⦃G,L⦄ ⊢ ⥲[h] 𝐍⦃#i⦄ → ⦃G,L.ⓘ{I}⦄ ⊢ ⥲[h] 𝐍⦃#↑i⦄.
24 #h #I #G #L #i #Hi #n #X #H
25 elim (cpm_inv_lref1 … H) -H *
27 | #J #K #V #HV #HVX #H destruct
28 lapply (Hi … HV) -Hi -HV #HV
29 elim (tueq_lifts_dx … HV … HVX) -V #Xi #Hi #HX
30 lapply (lifts_inv_lref1_uni … Hi) -Hi #H destruct //