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 *)
11 (* v GNU General Public License Version 2 *)
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15 include "delayed_updating/unwind/unwind2_rmap.ma".
16 include "ground/relocation/tr_uni_compose.ma".
17 include "ground/relocation/tr_compose_eq.ma".
18 include "ground/relocation/tr_pn_eq.ma".
19 include "ground/arith/nat_rplus_pplus.ma".
21 (* UNWIND MAP FOR PATH ******************************************************)
23 (* Constructions with stream_eq *********************************************)
25 lemma unwind2_rmap_eq_repl (p):
26 stream_eq_repl … (λf1,f2. ▶[f1]p ≗ ▶[f2]p).
28 * [ #n ] #p #IH #f1 #f2 #Hf
29 [ /3 width=1 by tr_compose_eq_repl/
31 | /3 width=1 by tr_push_eq_repl/
37 lemma tls_unwind2_rmap_d_sn (f) (p) (m) (n):
38 ⇂*[m+n]▶[f]p ≗ ⇂*[m]▶[f](𝗱n◗p).
40 <unwind2_rmap_d_sn >nrplus_inj_dx
41 /2 width=1 by tr_tls_compose_uni_dx/