update in ground

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

diff --git a/matita/matita/contribs/lambdadelta/ground/relocation/gr_after_uni.ma b/matita/matita/contribs/lambdadelta/ground/relocation/gr_after_uni.ma
deleted file mode 100644 (file)
index 41f35ee..0000000
--- a/matita/matita/contribs/lambdadelta/ground/relocation/gr_after_uni.ma
+++ /dev/null
@@ -1,53 +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/arith/nat_plus.ma".
-(* * it should not depend on gr_isi *)
-include "ground/relocation/gr_isi_uni.ma".
-include "ground/relocation/gr_after_isi.ma".
-
-(* RELATIONAL COMPOSITION FOR GENERIC RELOCATION MAPS ***********************)
-
-(* Constructions with gr_uni ************************************************)
-
-(*** after_uni *)
-lemma gr_after_uni (h1) (h2): 𝐮❨h1❩ ⊚ 𝐮❨h2❩ ≘ 𝐮❨h2+h1❩.
-#h1 @(nat_ind_succ … h1) -h1
-/3 width=5 by gr_after_isi_sn, gr_after_next, eq_f/
-qed.
-
-(*** after_uni_sn_pushs *)
-lemma gr_after_uni_sn_pushs (h):
-      ∀f. 𝐮❨h❩ ⊚ f ≘ ↑*[h]f.
-#h @(nat_ind_succ … h) -h
-/2 width=5 by gr_after_isi_sn, gr_after_next/
-qed.
-
-lemma gr_after_uni_isi_next (h1):
-      ∀f2. 𝐈❪f2❫ → 𝐮❨h1❩ ⊚ ↑f2 ≘ ↑𝐮❨h1❩.
-#h1 @(nat_ind_succ … h1) -h1
-/5 width=7 by gr_after_isi_dx, gr_after_eq_repl_back_sn, gr_after_next, gr_after_push, gr_isi_inv_eq_push/
-qed.
-
-lemma gr_after_uni_next_sn (h2):
-      ∀f1,f. ↑𝐮❨h2❩ ⊚ f1 ≘ f → 𝐮❨h2❩ ⊚ ↑f1 ≘ f.
-#h2 @(nat_ind_succ … h2) -h2
-[ #f1 #f #Hf
-  elim (gr_after_inv_next_sn … Hf) -Hf [2,3: // ] #g #Hg #H0 destruct
-  /4 width=7 by gr_after_isi_inv_sn, gr_after_isi_sn, gr_after_eq_repl_back, gr_eq_next/
-| #h2 #IH #f1 #f #Hf
-  elim (gr_after_inv_next_sn … Hf) -Hf [2,3: // ] #g #Hg #H0 destruct
-  /3 width=5 by gr_after_next/
-]
-qed.