update in ground

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

diff --git a/matita/matita/contribs/lambdadelta/ground/relocation/gr_pat_eq.ma b/matita/matita/contribs/lambdadelta/ground/relocation/gr_pat_eq.ma
deleted file mode 100644 (file)
index 8cd42b5..0000000
--- a/matita/matita/contribs/lambdadelta/ground/relocation/gr_pat_eq.ma
+++ /dev/null
@@ -1,58 +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/relocation/gr_tl_eq.ma".
-include "ground/relocation/gr_pat_lt.ma".
-
-(* POSITIVE APPLICATION FOR GENERIC RELOCATION MAPS *************************)
-
-(* Constructions with gr_eq *************************************************)
-
-(*** at_eq_repl_back *)
-corec lemma gr_pat_eq_repl_back (i1) (i2):
-            gr_eq_repl_back (λf. @❪i1,f❫ ≘ i2).
-#f1 * -f1 -i1 -i2
-[ #f1 #g1 #j1 #j2 #H #H1 #H2 #f2 #H12
-  cases (gr_eq_inv_push_sn … H12 … H) -g1 /2 width=2 by gr_pat_refl/
-| #f1 #i1 #i2 #Hf1 #g1 #j1 #j2 #H #H1 #H2 #f2 #H12
-  cases (gr_eq_inv_push_sn … H12 … H) -g1 /3 width=7 by gr_pat_push/
-| #f1 #i1 #i2 #Hf1 #g1 #j2 #H #H2 #f2 #H12
-  cases (gr_eq_inv_next_sn … H12 … H) -g1 /3 width=5 by gr_pat_next/
-]
-qed-.
-
-(*** at_eq_repl_fwd *)
-lemma gr_pat_eq_repl_fwd (i1) (i2):
-      gr_eq_repl_fwd (λf. @❪i1,f❫ ≘ i2).
-#i1 #i2 @gr_eq_repl_sym /2 width=3 by gr_pat_eq_repl_back/
-qed-.
-
-lemma gr_pat_eq (f): ⫯f ≡ f → ∀i. @❪i,f❫ ≘ i.
-#f #Hf #i elim i -i
-[ /3 width=3 by gr_pat_eq_repl_back, gr_pat_refl/
-| /3 width=7 by gr_pat_eq_repl_back, gr_pat_push/
-]
-qed.
-
-(* Inversions with gr_eq ****************************************************)
-
-corec lemma gr_pat_inv_eq (f):
-            (∀i. @❪i,f❫ ≘ i) → ⫯f ≡ f.
-#Hf
-lapply (Hf (𝟏)) #H
-lapply (gr_pat_des_id … H) -H #H
-cases H in Hf; -H #Hf
-@gr_eq_push [3:|*: // ]
-/3 width=7 by gr_pat_inv_succ_push_succ/
-qed-.