update in ground

[helm.git] / matita / matita / contribs / lambdadelta / ground / relocation / gr_isd.ma

diff --git a/matita/matita/contribs/lambdadelta/ground/relocation/gr_isd.ma b/matita/matita/contribs/lambdadelta/ground/relocation/gr_isd.ma
deleted file mode 100644 (file)
index 7ebdf86..0000000
--- a/matita/matita/contribs/lambdadelta/ground/relocation/gr_isd.ma
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@@ -1,51 +0,0 @@
-(**************************************************************************)
-(*       ___                                                              *)
-(*      ||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_omega_1.ma".
-include "ground/relocation/gr_map.ma".
-
-(* DIVERGENCE CONDITION FOR GENERIC RELOCATION MAPS *************************)
-
-(*** isdiv *)
-coinductive gr_isd: predicate gr_map ≝
-(*** isdiv_next *)
-| gr_isd_next (f) (g):
-  gr_isd f → ↑f = g → gr_isd g
-.
-
-interpretation
-  "divergence condition (generic relocation maps)"
-  'PredicateOmega f = (gr_isd f).
-
-(* Basic inversions *********************************************************)
-
-(*** isdiv_inv_gen *)
-lemma gr_isd_inv_gen (g): 𝛀❪g❫ → ∃∃f. 𝛀❪f❫ & ↑f = g.
-#g * -g
-#f #g #Hf * /2 width=3 by ex2_intro/
-qed-.
-
-(* Advanced inversions ******************************************************)
-
-(*** isdiv_inv_next *)
-lemma gr_isd_inv_next (g): 𝛀❪g❫ → ∀f. ↑f = g → 𝛀❪f❫.
-#g #H elim (gr_isd_inv_gen … H) -H
-#f #Hf * -g #g #H >(eq_inv_gr_next_bi … H) -H //
-qed-.
-
-(*** isdiv_inv_push *)
-lemma gr_isd_inv_push (g): 𝛀❪g❫ → ∀f. ⫯f = g → ⊥.
-#g #H elim (gr_isd_inv_gen … H) -H
-#f #Hf * -g #g #H elim (eq_inv_gr_push_next … H)
-qed-.