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 *)
13 (**************************************************************************)
15 include "ground/relocation/gr_isd.ma".
16 include "ground/relocation/gr_sle.ma".
18 (* INCLUSION FOR GENERIC RELOCATION MAPS ************************************)
20 (* Constructions with gr_isd ************************************************)
23 corec lemma gr_sle_isd_dx:
24 ∀f2. 𝛀❪f2❫ → ∀f1. f1 ⊆ f2.
26 #f2 #g2 #Hf2 #H2 #f1 cases (gr_map_split_tl f1) *
27 /3 width=5 by gr_sle_weak, gr_sle_next/
30 (* Inversions with gr_isd ***************************************************)
32 (*** sle_inv_isdiv_sn *)
33 corec lemma gr_sle_inv_isd_sn:
34 ∀f1,f2. f1 ⊆ f2 → 𝛀❪f1❫ → 𝛀❪f2❫.
36 #f1 #f2 #g1 #g2 #Hf * * #H
37 [1,3: elim (gr_isd_inv_push … H) // ]
38 lapply (gr_isd_inv_next … H ??) -H
39 /3 width=3 by gr_isd_next/