update in ground

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

diff --git a/matita/matita/contribs/lambdadelta/ground/relocation/gr_coafter_pat_tls.ma b/matita/matita/contribs/lambdadelta/ground/relocation/gr_coafter_pat_tls.ma
deleted file mode 100644 (file)
index 529b4ca..0000000
--- a/matita/matita/contribs/lambdadelta/ground/relocation/gr_coafter_pat_tls.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_coafter_nat_tls.ma".
-
-(* RELATIONAL CO-COMPOSITION FOR GENERIC RELOCATION MAPS ********************)
-
-(* Constructions with gr_pat and gr_tls *************************************)
-
-(* Note: this does not require ↑ first and second j *)
-(*** coafter_tls_succ *)
-lemma gr_coafter_tls_tl_tls:
-      ∀g2,g1,g. g2 ~⊚ g1 ≘ g →
-      ∀j. @❪𝟏, g2❫ ≘ j → ⫰*[j]g2 ~⊚ ⫰g1 ≘ ⫰*[j]g.
-#g2 #g1 #g #Hg #j #Hg2
-lapply (gr_nat_pred_bi … Hg2) -Hg2 #Hg2
-lapply (gr_coafter_tls_bi_tls … Hg2 … Hg) -Hg #Hg
-lapply (gr_pat_unit_succ_tls … Hg2) -Hg2 #H
-elim (gr_pat_inv_unit_bi … H) -H [ |*: // ] #f2 #H2
-elim (gr_coafter_inv_push_sn … Hg … H2) -Hg * #f1 #f #Hf #H1 #H0
->(npsucc_pred j) <gr_tls_succ <gr_tls_succ //
-qed.
-
-(* Note: parked for now
-lemma coafter_fwd_xpx_pushs:
-      ∀g2,f1,g,i,j. @❪i, g2❫ ≘ j → g2 ~⊚ ⫯*[i]⫯f1 ≘ g →
-      ∃∃f.  ⫰*[↑j]g2 ~⊚ f1 ≘ f & ⫯*[j]⫯f = g.
-#g2 #g1 #g #i #j #Hg2 <pushs_xn #Hg(coafter_fwd_pushs … Hg Hg2) #f #H0 destruct
-lapply (coafter_tls … Hg2 Hg) -Hg <tls_pushs <tls_pushs #Hf
-lapply (at_inv_tls … Hg2) -Hg2 #H
-lapply (coafter_eq_repl_fwd2 … Hf … H) -H -Hf #Hf
-elim (coafter_inv_ppx … Hf) [|*: // ] -Hf #g #Hg #H destruct
-/2 width=3 by ex2_intro/
-qed-.
-
-lemma coafter_fwd_xnx_pushs:
-      ∀g2,f1,g,i,j. @❪i, g2❫ ≘ j → g2 ~⊚ ⫯*[i]↑f1 ≘ g →
-      ∃∃f. ⫰*[↑j]g2 ~⊚ f1 ≘ f & ⫯*[j] ↑f = g.
-#g2 #g1 #g #i #j #Hg2 #Hg
-elim (coafter_fwd_pushs … Hg Hg2) #f #H0 destruct
-lapply (coafter_tls … Hg2 Hg) -Hg <tls_pushs <tls_pushs #Hf
-lapply (at_inv_tls … Hg2) -Hg2 #H
-lapply (coafter_eq_repl_fwd2 … Hf … H) -H -Hf #Hf
-elim (coafter_inv_pnx … Hf) [|*: // ] -Hf #g #Hg #H destruct
-/2 width=3 by ex2_intro/
-qed-.
-*)