+++ /dev/null
-(**************************************************************************)
-(* ___ *)
-(* ||M|| *)
-(* ||A|| A project by Andrea Asperti *)
-(* ||T|| *)
-(* ||I|| Developers: *)
-(* ||T|| The HELM team. *)
-(* ||A|| http://helm.cs.unibo.it *)
-(* \ / *)
-(* \ / This file is distributed under the terms of the *)
-(* v GNU General Public License Version 2 *)
-(* *)
-(**************************************************************************)
-
-include "ground/notation/relations/predicate_t_1.ma".
-include "ground/relocation/gr_pat.ma".
-
-(* TOTALITY CONDITION FOR GENERIC RELOCATION MAPS ***************************)
-
-(*** istot *)
-definition gr_ist: predicate gr_map ≝
- λf. ∀i. ∃j. @❪i,f❫ ≘ j.
-
-interpretation
- "totality condition (generic relocation maps)"
- 'PredicateT f = (gr_ist f).
-
-(* Basic inversions *********************************************************)
-
-(*** istot_inv_push *)
-lemma gr_ist_inv_push (g): 𝐓❪g❫ → ∀f. ⫯f = g → 𝐓❪f❫.
-#g #Hg #f #H #i elim (Hg (↑i)) -Hg
-#j #Hg elim (gr_pat_inv_succ_push … Hg … H) -Hg -H /2 width=3 by ex_intro/
-qed-.
-
-(*** istot_inv_next *)
-lemma gr_ist_inv_next (g): 𝐓❪g❫ → ∀f. ↑f = g → 𝐓❪f❫.
-#g #Hg #f #H #i elim (Hg i) -Hg
-#j #Hg elim (gr_pat_inv_next … Hg … H) -Hg -H /2 width=2 by ex_intro/
-qed-.
-
-(* Constructions with gr_tl *************************************************)
-
-(*** istot_tl *)
-lemma gr_ist_tl (f): 𝐓❪f❫ → 𝐓❪⫰f❫.
-#f cases (gr_map_split_tl f) *
-/2 width=3 by gr_ist_inv_next, gr_ist_inv_push/
-qed.