update in ground

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

diff --git a/matita/matita/contribs/lambdadelta/ground/relocation/gr_after_isi.ma b/matita/matita/contribs/lambdadelta/ground/relocation/gr_after_isi.ma
deleted file mode 100644 (file)
index 189c675..0000000
--- a/matita/matita/contribs/lambdadelta/ground/relocation/gr_after_isi.ma
+++ /dev/null
@@ -1,73 +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_isi.ma".
-include "ground/relocation/gr_after_after.ma".
-
-(* RELATIONAL COMPOSITION FOR GENERIC RELOCATION MAPS ***********************)
-
-(* Constructions with gr_isi ************************************************)
-
-(*** after_isid_sn *)
-corec lemma gr_after_isi_sn:
-            ∀f1. 𝐈❪f1❫ → ∀f2. f1 ⊚ f2 ≘ f2.
-#f1 * -f1
-#f1 #g1 #Hf1 #H1 #f2 cases (gr_map_split_tl f2) #H2
-/3 width=7 by gr_after_push, gr_after_refl/
-qed.
-
-(*** after_isid_dx *)
-corec lemma gr_after_isi_dx:
-            ∀f2. 𝐈❪f2❫ → ∀f1. f1 ⊚ f2 ≘ f1.
-#f2 * -f2
-#f2 #g2 #Hf2 #H2 #f1 cases (gr_map_split_tl f1) #H1
-[ /3 width=7 by gr_after_refl/
-| @(gr_after_next … H1 H1) /3 width=3 by gr_isi_push/
-]
-qed.
-
-(* Destructions with gr_isi *************************************************)
-
-(*** after_isid_inv_sn *)
-lemma gr_after_isi_inv_sn:
-      ∀f1,f2,f. f1 ⊚ f2 ≘ f → 𝐈❪f1❫ → f2 ≡ f.
-/3 width=6 by gr_after_isi_sn, gr_after_mono/ qed-.
-
-(*** after_isid_inv_dx *)
-lemma gr_after_isi_inv_dx:
-      ∀f1,f2,f. f1 ⊚ f2 ≘ f → 𝐈❪f2❫ → f1 ≡ f.
-/3 width=6 by gr_after_isi_dx, gr_after_mono/ qed-.
-
-(*** after_fwd_isid1 *)
-corec lemma gr_after_des_isi_sn:
-            ∀f1,f2,f. f1 ⊚ f2 ≘ f → 𝐈❪f❫ → 𝐈❪f1❫.
-#f1 #f2 #f * -f1 -f2 -f
-#f1 #f2 #f #g1 [1,2: #g2 ] #g #Hf #H1 [1,2: #H2 ] #H0 #H
-[ /4 width=6 by gr_isi_inv_push, gr_isi_push/ ]
-cases (gr_isi_inv_next … H … H0)
-qed-.
-
-(*** after_fwd_isid2 *)
-corec lemma gr_after_des_isi_dx:
-            ∀f1,f2,f. f1 ⊚ f2 ≘ f → 𝐈❪f❫ → 𝐈❪f2❫.
-#f1 #f2 #f * -f1 -f2 -f
-#f1 #f2 #f #g1 [1,2: #g2 ] #g #Hf #H1 [1,2: #H2 ] #H0 #H
-[ /4 width=6 by gr_isi_inv_push, gr_isi_push/ ]
-cases (gr_isi_inv_next … H … H0)
-qed-.
-
-(*** after_inv_isid3 *)
-lemma gr_after_inv_isi:
-      ∀f1,f2,f. f1 ⊚ f2 ≘ f → 𝐈❪f❫ → 𝐈❪f1❫ ∧ 𝐈❪f2❫.
-/3 width=4 by gr_after_des_isi_dx, gr_after_des_isi_sn, conj/ qed-.