update in ground

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

diff --git a/matita/matita/contribs/lambdadelta/ground/relocation/gr_coafter_coafter_ist.ma b/matita/matita/contribs/lambdadelta/ground/relocation/gr_coafter_coafter_ist.ma
deleted file mode 100644 (file)
index 9d79801..0000000
--- a/matita/matita/contribs/lambdadelta/ground/relocation/gr_coafter_coafter_ist.ma
+++ /dev/null
@@ -1,61 +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_pat_tls.ma".
-include "ground/relocation/gr_ist_tls.ma".
-include "ground/relocation/gr_coafter_nat_tls.ma".
-
-(* RELATIONAL CO-COMPOSITION FOR GENERIC RELOCATION MAPS ********************)
-
-(*** H_coafter_inj *)
-definition H_gr_coafter_inj: predicate gr_map ≝
-           λf1. 𝐓❪f1❫ →
-           ∀f,f21,f22. f1 ~⊚ f21 ≘ f → f1 ~⊚ f22 ≘ f → f21 ≡ f22.
-
-(* Main destructions with gr_ist ********************************************)
-
-(*** coafter_inj_O_aux *)
-corec fact gr_coafter_inj_unit_aux:
-           ∀f1. @❪𝟏, f1❫ ≘ 𝟏 → H_gr_coafter_inj f1.
-#f1 #H1f1 #H2f1 #f #f21 #f22 #H1f #H2f
-cases (gr_pat_inv_unit_bi … H1f1) -H1f1 [ |*: // ] #g1 #H1
-lapply (gr_ist_inv_push … H2f1 … H1) -H2f1 #H2g1
-cases (H2g1 (𝟏)) #n #Hn
-cases (gr_coafter_inv_push_sn … H1f … H1) -H1f * #g21 #g #H1g #H21 #H
-[ cases (gr_coafter_inv_push_sn_push … H2f … H1 H) -f1 -f #g22 #H2g #H22
-  @(gr_eq_push … H21 H22) -f21 -f22
-| cases (gr_coafter_inv_push_sn_next … H2f … H1 H) -f1 -f #g22 #H2g #H22
-  @(gr_eq_next … H21 H22) -f21 -f22
-]
-@(gr_coafter_inj_unit_aux (⫰*[↓n]g1) … (⫰*[↓n]g)) -gr_coafter_inj_unit_aux
-/2 width=1 by gr_coafter_tls_bi_tls, gr_ist_tls, gr_pat_unit_succ_tls/
-qed-.
-
-(*** coafter_inj_aux *)
-fact gr_coafter_inj_aux:
-     (∀f1. @❪𝟏, f1❫ ≘ 𝟏 → H_gr_coafter_inj f1) →
-     ∀i2,f1. @❪𝟏, f1❫ ≘ i2 → H_gr_coafter_inj f1.
-#H0 #i2 elim i2 -i2 /2 width=1 by/ -H0
-#i2 #IH #f1 #H1f1 #H2f1 #f #f21 #f22 #H1f #H2f
-elim (gr_pat_inv_unit_succ … H1f1) -H1f1 [ |*: // ] #g1 #H1g1 #H1
-elim (gr_coafter_inv_next_sn … H1f … H1) -H1f #g #H1g #H
-lapply (gr_coafter_inv_next_sn_push … H2f … H1 H) -f #H2g
-/3 width=6 by gr_ist_inv_next/
-qed-.
-
-(*** coafter_inj *)
-theorem gr_coafter_inj:
-        ∀f1. H_gr_coafter_inj f1.
-#f1 #H cases (H (𝟏)) /3 width=7 by gr_coafter_inj_aux, gr_coafter_inj_unit_aux/
-qed-.