1 (**************************************************************************)
4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
8 (* ||A|| http://helm.cs.unibo.it *)
10 (* \ / This file is distributed under the terms of the *)
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15 include "delayed_updating/relocation/sbr_pap.ma".
16 include "ground/relocation/tr_eq.ma".
18 (* POSITIVE APPLICATION FOR STACKS OF BASIC RELOCATION MAPS *****************)
20 (* Main constructions with stream_eq ****************************************)
22 theorem sbr_pap_eq_repl_sn (i):
23 stream_eq_repl … (λf1,f2. f1❘@❨i❩ = f2❘@❨i❩).
24 #i elim i -i [| #i #IH ]
25 * [ #p1 | * [| #p1 ]] #f1
27 elim (stream_eq_inv_cons_bi … H) -H [1,8,15: |*: // ] #Hp #Hf destruct //
28 <sbr_pap_unfold_unit_succ <sbr_pap_unfold_unit_succ