matita/matita/contribs/lambdadelta/ground/relocation/pr_ist_isi.ma

   1 (**************************************************************************)
   2 (*       ___                                                              *)
   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
   6 (*      ||I||       Developers:                                           *)
   7 (*      ||T||         The HELM team.                                      *)
   8 (*      ||A||         http://helm.cs.unibo.it                             *)
   9 (*      \   /                                                             *)
  10 (*       \ /        This file is distributed under the terms of the       *)
  11 (*        v         GNU General Public License Version 2                  *)
  12 (*                                                                        *)
  13 (**************************************************************************)
  14
  15 include "ground/relocation/pr_isi_pat.ma".
  16 include "ground/relocation/pr_ist.ma".
  17
  18 (* TOTALITY CONDITION FOR PARTIAL RELOCATION MAPS ***************************)
  19
  20 (* Advanced constructions with pr_isi ***************************************)
  21
  22 (*** isid_at_total *)
  23 lemma pr_isi_pat_total: ∀f. 𝐓❨f❩ → (∀i1,i2. @❨i1,f❩ ≘ i2 → i1 = i2) → 𝐈❨f❩.
  24 #f #H1f #H2f @pr_isi_pat
  25 #i lapply (H1f i) -H1f *
  26 #j #Hf >(H2f … Hf) in ⊢ (???%); -H2f //
  27 qed.