update in ground

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

diff --git a/matita/matita/contribs/lambdadelta/ground/relocation/pr_sdj_isi.ma b/matita/matita/contribs/lambdadelta/ground/relocation/pr_sdj_isi.ma
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+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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/relocation/pr_isi.ma".
+include "ground/relocation/pr_sdj.ma".
+
+(* DISJOINTNESS FOR PARTIAL RELOCATION MAPS *********************************)
+
+(* Constructions with pr_isi ************************************************)
+
+(*** sdj_isid_dx *)
+corec lemma pr_sdj_isi_dx:
+            ∀f2. 𝐈❪f2❫ → ∀f1. f1 ∥ f2.
+#f2 * -f2
+#f2 #g2 #Hf2 #H2 #f1 cases (pr_map_split_tl f1) *
+/3 width=5 by pr_sdj_next_push, pr_sdj_push_bi/
+qed.
+
+(*** sdj_isid_sn *)
+corec lemma pr_sdj_isi_sn:
+            ∀f1. 𝐈❪f1❫ → ∀f2. f1 ∥ f2.
+#f1 * -f1
+#f1 #g1 #Hf1 #H1 #f2 cases (pr_map_split_tl f2) *
+/3 width=5 by pr_sdj_push_next, pr_sdj_push_bi/
+qed.
+
+(* Inversions with pr_isi ***************************************************)
+
+(*** sdj_inv_refl *)
+corec lemma pr_sdj_inv_refl:
+            ∀f. f ∥ f →  𝐈❪f❫.
+#f cases (pr_map_split_tl f) #Hf #H
+[ lapply (pr_sdj_inv_push_bi … H … Hf Hf) -H /3 width=3 by pr_isi_push/
+| elim (pr_sdj_inv_next_bi … H … Hf Hf)
+]
+qed-.