X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fground%2Frelocation%2Fpr_isu.ma;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fground%2Frelocation%2Fpr_isu.ma;h=5fdee719f0e85e465ff780c327557bbe42bd4ae6;hb=f8b4eb67c2437f7b5174d7dca46e102e0ac0d19d;hp=0000000000000000000000000000000000000000;hpb=8bbe582d87984526f40182c4409cbfd43108cb79;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/ground/relocation/pr_isu.ma b/matita/matita/contribs/lambdadelta/ground/relocation/pr_isu.ma
new file mode 100644
index 000000000..5fdee719f
--- /dev/null
+++ b/matita/matita/contribs/lambdadelta/ground/relocation/pr_isu.ma
@@ -0,0 +1,56 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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_u_1.ma".
+include "ground/relocation/pr_isi.ma".
+
+(* UNIFORMITY CONDITION FOR PARTIAL RELOCATION MAPS *************************)
+
+(*** isuni *)
+inductive pr_isu: predicate pr_map ≝
+(*** isuni_isid *)
+| pr_isu_isi (f): 𝐈❪f❫ → pr_isu f
+(*** isuni_next *)
+| pr_isu_next (f): pr_isu f → ∀g. ↑f = g → pr_isu g
+.
+
+interpretation
+  "uniformity condition (partial relocation maps)"
+  'PredicateU f = (pr_isu f).
+
+(* Basic inversions *********************************************************)
+
+(*** isuni_inv_push *)
+lemma pr_isu_inv_push (g): 𝐔❪g❫ → ∀f. ⫯f = g → 𝐈❪f❫.
+#g * -g
+[ /2 width=3 by pr_isi_inv_push/
+| #f #_ #g #H #x #Hx destruct
+  elim (eq_inv_pr_push_next … Hx)
+]
+qed-.
+
+(*** isuni_inv_next *)
+lemma pr_isu_inv_next (g): 𝐔❪g❫ → ∀f. ↑f = g → 𝐔❪f❫.
+#g * -g #f #Hf
+[ #x #Hx elim (pr_isi_inv_next … Hf … Hx)
+| #g #H #x #Hx destruct
+  >(eq_inv_pr_next_bi … Hx) -x //
+]
+qed-.
+
+(* Basic destructions *******************************************************)
+
+(*** isuni_fwd_push *)
+lemma pr_isu_fwd_push (g): 𝐔❪g❫ → ∀f. ⫯f = g → 𝐔❪f❫.
+/3 width=3 by pr_isu_inv_push, pr_isu_isi/ qed-.