update in ground

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

diff --git a/matita/matita/contribs/lambdadelta/ground/relocation/gr_coafter_ist_isi.ma b/matita/matita/contribs/lambdadelta/ground/relocation/gr_coafter_ist_isi.ma
deleted file mode 100644 (file)
index a73cfa2..0000000
--- a/matita/matita/contribs/lambdadelta/ground/relocation/gr_coafter_ist_isi.ma
+++ /dev/null
@@ -1,59 +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_isi_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_fwd_isid2 *)
-definition H_gr_coafter_des_ist_sn_isi: predicate gr_map ≝
-           λf1. ∀f2,f. f1 ~⊚ f2 ≘ f → 𝐓❪f1❫ → 𝐈❪f❫ → 𝐈❪f2❫.
-
-(* Destructions with gr_ist and gr_isi **************************************)
-
-(*** coafter_fwd_isid2_O_aux *)
-corec fact gr_coafter_des_ist_sn_isi_unit_aux:
-           ∀f1. @❪𝟏, f1❫ ≘ 𝟏 → H_gr_coafter_des_ist_sn_isi f1.
-#f1 #H1f1 #f2 #f #H #H2f1 #Hf
-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 … H … H1) -H * #g2 #g #H #H2 #H0
-[ lapply (gr_isi_inv_push … Hf … H0) -Hf #Hg
-  @(gr_isi_push … H2) -H2
-  /3 width=7 by gr_coafter_tls_sn_tls, gr_pat_unit_succ_tls, gr_ist_tls, gr_isi_tls/
-| cases (gr_isi_inv_next … Hf … H0)
-]
-qed-.
-
-(*** coafter_fwd_isid2_aux *)
-fact gr_coafter_des_ist_sn_isi_aux:
-     (∀f1. @❪𝟏, f1❫ ≘ 𝟏 → H_gr_coafter_des_ist_sn_isi f1) →
-     ∀i2,f1. @❪𝟏, f1❫ ≘ i2 → H_gr_coafter_des_ist_sn_isi f1.
-#H0 #i2 elim i2 -i2 /2 width=1 by/ -H0
-#i2 #IH #f1 #H1f1 #f2 #f #H #H2f1 #Hf
-elim (gr_pat_inv_unit_succ … H1f1) -H1f1 [ |*: // ] #g1 #Hg1 #H1
-elim (gr_coafter_inv_next_sn … H … H1) -H #g #Hg #H0
-@(IH … Hg1 … Hg) /2 width=3 by gr_ist_inv_next, gr_isi_inv_push/ (* * full auto fails *)
-qed-.
-
-(*** coafter_fwd_isid2 *)
-lemma gr_coafter_des_ist_sn_isi:
-      ∀f1. H_gr_coafter_des_ist_sn_isi f1.
-#f1 #f2 #f #Hf #H cases (H (𝟏))
-/3 width=7 by gr_coafter_des_ist_sn_isi_aux, gr_coafter_des_ist_sn_isi_unit_aux/
-qed-.