update in ground

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

diff --git a/matita/matita/contribs/lambdadelta/ground/relocation/pr_after_isu.ma b/matita/matita/contribs/lambdadelta/ground/relocation/pr_after_isu.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_isu_uni.ma".
+include "ground/relocation/pr_after_uni.ma".
+
+(* RELATIONAL COMPOSITION FOR PARTIAL RELOCATION MAPS ***********************)
+
+(* Constructions with pr_isu ************************************************)
+
+(*** after_isid_isuni *)
+lemma pr_after_isu_isi_next:
+      ∀f1,f2. 𝐈❪f2❫ → 𝐔❪f1❫ → f1 ⊚ ↑f2 ≘ ↑f1.
+#f1 #f2 #Hf2 #H
+elim (pr_isu_inv_uni … H) -H #h #H
+/5 width=7 by pr_after_uni_isi_next, pr_after_eq_repl_back, pr_after_eq_repl_back_sn, pr_eq_next/
+qed.
+
+(*** after_uni_next2 *)
+lemma pr_after_isu_next_sn:
+      ∀f2. 𝐔❪f2❫ → ∀f1,f. ↑f2 ⊚ f1 ≘ f → f2 ⊚ ↑f1 ≘ f.
+#f2 #H #f1 #f #Hf
+elim (pr_isu_inv_uni … H) -H #h #H
+/5 width=7 by pr_after_uni_next_sn, pr_after_eq_repl_fwd_sn, pr_after_eq_repl_back_sn, pr_eq_next/
+qed.