update in ground

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

diff --git a/matita/matita/contribs/lambdadelta/ground/relocation/gr_after_ist.ma b/matita/matita/contribs/lambdadelta/ground/relocation/gr_after_ist.ma
deleted file mode 100644 (file)
index 466df35..0000000
--- a/matita/matita/contribs/lambdadelta/ground/relocation/gr_after_ist.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_pat_lt.ma".
-include "ground/relocation/gr_ist.ma".
-include "ground/relocation/gr_after_pat.ma".
-
-(* RELATIONAL COMPOSITION FOR GENERIC RELOCATION MAPS ***********************)
-
-(* Destructions with gr_ist *************************************************)
-
-(*** after_istot_fwd *)
-lemma gr_after_ist_des:
-      ∀f2,f1,f. f2 ⊚ f1 ≘ f → 𝐓❪f2❫ → 𝐓❪f1❫ → 𝐓❪f❫.
-#f2 #f1 #f #Hf #Hf2 #Hf1 #i1 elim (Hf1 i1) -Hf1
-#i2 #Hf1 elim (Hf2 i2) -Hf2
-/3 width=7 by gr_after_des_pat, ex_intro/
-qed-.
-
-(*** after_fwd_istot_dx *)
-lemma gr_after_des_ist_dx:
-      ∀f2,f1,f. f2 ⊚ f1 ≘ f → 𝐓❪f❫ → 𝐓❪f1❫.
-#f2 #f1 #f #H #Hf #i1 elim (Hf i1) -Hf
-#i2 #Hf elim (gr_after_pat_des … Hf … H) -f /2 width=2 by ex_intro/
-qed-.
-
-(*** after_fwd_istot_sn *)
-lemma gr_after_des_ist_sn:
-      ∀f2,f1,f. f2 ⊚ f1 ≘ f → 𝐓❪f❫ → 𝐓❪f2❫.
-#f2 #f1 #f #H #Hf #i1 elim (Hf i1) -Hf
-#i #Hf elim (gr_after_pat_des … Hf … H) -f
-#i2 #Hf1 #Hf2 lapply (gr_pat_increasing … Hf1) -f1
-#Hi12 elim (gr_pat_le_ex … Hf2 … Hi12) -i2 /2 width=2 by ex_intro/
-qed-.
-
-(*** after_at1_fwd *)
-lemma gr_after_des_ist_pat:
-      ∀f1,i1,i2. @❪i1, f1❫ ≘ i2 → ∀f2. 𝐓❪f2❫ → ∀f. f2 ⊚ f1 ≘ f →
-      ∃∃i. @❪i2, f2❫ ≘ i & @❪i1, f❫ ≘ i.
-#f1 #i1 #i2 #Hf1 #f2 #Hf2 #f #Hf elim (Hf2 i2) -Hf2
-/3 width=8 by gr_after_des_pat, ex2_intro/
-qed-.
-
-(* Inversions with gr_ist ***************************************************)
-
-(*** after_inv_istot *)
-lemma gr_after_inv_ist:
-      ∀f2,f1,f. f2 ⊚ f1 ≘ f → 𝐓❪f❫ → ∧∧ 𝐓❪f2❫ & 𝐓❪f1❫.
-/3 width=4 by gr_after_des_ist_sn, gr_after_des_ist_dx, conj/ qed-.