milestone update in basic_2

[helm.git] / matita / matita / contribs / lambdadelta / static_2 / static / feqg_fqu.ma

diff --git a/matita/matita/contribs/lambdadelta/static_2/static/feqg_fqu.ma b/matita/matita/contribs/lambdadelta/static_2/static/feqg_fqu.ma
new file mode 100644 (file)
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+++ b/matita/matita/contribs/lambdadelta/static_2/static/feqg_fqu.ma
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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 "static_2/static/feqg_length.ma".
+
+(* GENERIC EQUIVALENCE FOR CLOSURES ON REFERRED ENTRIES *********************)
+
+(* Properties with structural successor for closures ************************)
+
+lemma fqu_fneqg (S) (b) (G1) (G2) (L1) (L2) (T1) (T2):
+      ❪G1,L1,T1❫ ⬂[b] ❪G2,L2,T2❫ → ❪G1,L1,T1❫ ≛[S] ❪G2,L2,T2❫ → ⊥.
+#S #b #G1 #G2 #L1 #L2 #T1 #T2 #H elim H -G1 -G2 -L1 -L2 -T1 -T2
+[ /3 width=8 by feqg_fwd_length, succ_inv_refl_sn/
+| /3 width=9 by teqg_inv_pair_xy_x, feqg_fwd_teqg/
+| /3 width=9 by teqg_inv_pair_xy_y, feqg_fwd_teqg/
+| /3 width=9 by teqg_inv_pair_xy_y, feqg_fwd_teqg/
+| /3 width=9 by teqg_inv_pair_xy_y, feqg_fwd_teqg/
+| /3 width=8 by feqg_fwd_length, succ_inv_refl_sn/
+]
+qed-.