X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fs_transition%2Ffquq.ma;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fs_transition%2Ffquq.ma;h=5efd7b490fb65f62b969dbb454c6104f6f421772;hb=93bba1c94779e83184d111cd077d4167e42a74aa;hp=0000000000000000000000000000000000000000;hpb=9a023f554e56d6edbbb2eeaf17ce61e31857ef4a;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/s_transition/fquq.ma b/matita/matita/contribs/lambdadelta/basic_2/s_transition/fquq.ma
new file mode 100644
index 000000000..5efd7b490
--- /dev/null
+++ b/matita/matita/contribs/lambdadelta/basic_2/s_transition/fquq.ma
@@ -0,0 +1,40 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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 "basic_2/notation/relations/suptermopt_6.ma".
+include "basic_2/s_transition/fqu.ma".
+
+(* OPTIONAL SUPCLOSURE ******************************************************)
+
+(* Basic_2A1: was: fquqa *)
+(* Basic_2A1: includes: fquq_inv_gen *)
+definition fquq: tri_relation genv lenv term ≝ tri_RC … fqu.
+
+interpretation
+   "optional structural successor (closure)"
+   'SupTermOpt G1 L1 T1 G2 L2 T2 = (fquq G1 L1 T1 G2 L2 T2).
+
+(* Basic properties *********************************************************)
+
+(* Basic_2A1: includes: fquqa_refl *)
+lemma fquq_refl: tri_reflexive … fquq.
+// qed.
+
+lemma fqu_fquq: ∀G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊐ ⦃G2, L2, T2⦄ → ⦃G1, L1, T1⦄ ⊐⸮ ⦃G2, L2, T2⦄.
+/2 width=1 by or_introl/ qed.
+
+(* Basic_2A1: removed theorems 8:
+              fquq_lref_O fquq_pair_sn fquq_bind_dx fquq_flat_dx fquq_drop
+              fquqa_drop fquq_fquqa fquqa_inv_fquq
+*)