update in ground

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

diff --git a/matita/matita/contribs/lambdadelta/ground/relocation/gr_coafter_ist_isf.ma b/matita/matita/contribs/lambdadelta/ground/relocation/gr_coafter_ist_isf.ma
deleted file mode 100644 (file)
index 20d861a..0000000
--- a/matita/matita/contribs/lambdadelta/ground/relocation/gr_coafter_ist_isf.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_isf_tls.ma".
-include "ground/relocation/gr_ist_tls.ma".
-include "ground/relocation/gr_coafter_nat_tls.ma".
-include "ground/relocation/gr_coafter_isi.ma".
-
-(* RELATIONAL CO-COMPOSITION FOR GENERIC RELOCATION MAPS ********************)
-
-(*** H_coafter_isfin2_fwd *)
-definition H_gr_coafter_des_ist_isf: predicate gr_map ≝
-           λf1. ∀f2. 𝐅❪f2❫ → 𝐓❪f1❫ → ∀f. f1 ~⊚ f2 ≘ f →  𝐅❪f❫.
-
-(* Destructions with gr_ist and gr_isf **************************************)
-
-(*** coafter_isfin2_fwd_O_aux *)
-fact gr_coafter_des_ist_isf_unit_aux:
-     ∀f1. @❪𝟏, f1❫ ≘ 𝟏 → H_gr_coafter_des_ist_isf f1.
-#f1 #Hf1 #f2 #H
-generalize in match Hf1; generalize in match f1; -f1
-@(gr_isf_ind … H) -f2
-[ /3 width=4 by gr_coafter_isi_inv_dx, gr_isf_isi/ ]
-#f2 #_ #IH #f1 #H #Hf1 #f #Hf
-elim (gr_pat_inv_unit_bi … H) -H [ |*: // ] #g1 #H1
-lapply (gr_ist_inv_push … Hf1 … H1) -Hf1 #Hg1
-elim (Hg1 (𝟏)) #n #Hn
-[ elim (gr_coafter_inv_push_bi … Hf) | elim (gr_coafter_inv_push_next … Hf)
-] -Hf [1,6: |*: // ] #g #Hg #H0 destruct
-/5 width=6 by gr_isf_next, gr_isf_push, gr_isf_inv_tls, gr_ist_tls, gr_pat_unit_succ_tls, gr_coafter_tls_sn_tls/
-qed-.
-
-(*** coafter_isfin2_fwd_aux *)
-fact gr_coafter_des_ist_isf_aux:
-     (∀f1. @❪𝟏, f1❫ ≘ 𝟏 → H_gr_coafter_des_ist_isf f1) →
-     ∀i2,f1. @❪𝟏, f1❫ ≘ i2 → H_gr_coafter_des_ist_isf f1.
-#H0 #i2 elim i2 -i2 /2 width=1 by/ -H0
-#i2 #IH #f1 #H1f1 #f2 #Hf2 #H2f1 #f #Hf
-elim (gr_pat_inv_unit_succ … H1f1) -H1f1 [ |*: // ] #g1 #Hg1 #H1
-elim (gr_coafter_inv_next_sn … Hf … H1) -Hf #g #Hg #H0
-lapply (IH … Hg1 … Hg) -i2 -Hg
-/2 width=4 by gr_ist_inv_next, gr_isf_push/ (* * full auto fails *)
-qed-.
-
-(*** coafter_isfin2_fwd *)
-lemma gr_coafter_des_ist_isf: ∀f1. H_gr_coafter_des_ist_isf f1.
-#f1 #f2 #Hf2 #Hf1 cases (Hf1 (𝟏))
-/3 width=7 by gr_coafter_des_ist_isf_aux, gr_coafter_des_ist_isf_unit_aux/
-qed-.