update in ground

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

diff --git a/matita/matita/contribs/lambdadelta/ground/relocation/gr_sand_eq.ma b/matita/matita/contribs/lambdadelta/ground/relocation/gr_sand_eq.ma
deleted file mode 100644 (file)
index 86c2a71..0000000
--- a/matita/matita/contribs/lambdadelta/ground/relocation/gr_sand_eq.ma
+++ /dev/null
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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/gr_tl_eq.ma".
-include "ground/relocation/gr_sand.ma".
-
-(* RELATIONAL INTERSECTION FOR GENERIC RELOCATION MAPS **********************)
-
-(* Constructions with gr_eq *************************************************)
-
-(*** sand_eq_repl_back1 *)
-corec lemma gr_sand_eq_repl_back_sn:
-            ∀f2,f. gr_eq_repl_back … (λf1. f1 ⋒ f2 ≘ f).
-#f2 #f #f1 * -f1 -f2 -f
-#f1 #f2 #f #g1 #g2 #g #Hf #H1 #H2 #H0 #x #Hx
-try cases (gr_eq_inv_push_sn … Hx … H1) try cases (gr_eq_inv_next_sn … Hx … H1) -g1
-/3 width=7 by gr_sand_push_bi, gr_sand_next_push, gr_sand_push_next, gr_sand_next_bi/
-qed-.
-
-(*** sand_eq_repl_fwd1 *)
-lemma gr_sand_eq_repl_fwd_sn:
-      ∀f2,f. gr_eq_repl_fwd … (λf1. f1 ⋒ f2 ≘ f).
-#f2 #f @gr_eq_repl_sym /2 width=3 by gr_sand_eq_repl_back_sn/
-qed-.
-
-(*** sand_eq_repl_back2 *)
-corec lemma gr_sand_eq_repl_back_dx:
-            ∀f1,f. gr_eq_repl_back … (λf2. f1 ⋒ f2 ≘ f).
-#f1 #f #f2 * -f1 -f2 -f
-#f1 #f2 #f #g1 #g2 #g #Hf #H #H2 #H0 #x #Hx
-try cases (gr_eq_inv_push_sn … Hx … H2) try cases (gr_eq_inv_next_sn … Hx … H2) -g2
-/3 width=7 by gr_sand_push_bi, gr_sand_next_push, gr_sand_push_next, gr_sand_next_bi/
-qed-.
-
-(*** sand_eq_repl_fwd2 *)
-lemma sand_eq_repl_fwd_dx:
-      ∀f1,f. gr_eq_repl_fwd … (λf2. f1 ⋒ f2 ≘ f).
-#f1 #f @gr_eq_repl_sym /2 width=3 by gr_sand_eq_repl_back_dx/
-qed-.
-
-(*** sand_eq_repl_back3 *)
-corec lemma gr_sand_eq_repl_back:
-            ∀f1,f2. gr_eq_repl_back … (λf. f1 ⋒ f2 ≘ f).
-#f1 #f2 #f * -f1 -f2 -f
-#f1 #f2 #f #g1 #g2 #g #Hf #H #H2 #H0 #x #Hx
-try cases (gr_eq_inv_push_sn … Hx … H0) try cases (gr_eq_inv_next_sn … Hx … H0) -g
-/3 width=7 by gr_sand_push_bi, gr_sand_next_push, gr_sand_push_next, gr_sand_next_bi/
-qed-.
-
-(*** sand_eq_repl_fwd3 *)
-lemma gr_sand_eq_repl_fwd:
-      ∀f1,f2. gr_eq_repl_fwd … (λf. f1 ⋒ f2 ≘ f).
-#f1 #f2 @gr_eq_repl_sym /2 width=3 by gr_sand_eq_repl_back/
-qed-.