]> matita.cs.unibo.it Git - helm.git/blob - matita/matita/contribs/lambdadelta/basic_2/s_transition/fquq.ma
basic_2: stronger supclosure allows better inversion lemmas
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / s_transition / fquq.ma
1 (**************************************************************************)
2 (*       ___                                                              *)
3 (*      ||M||                                                             *)
4 (*      ||A||       A project by Andrea Asperti                           *)
5 (*      ||T||                                                             *)
6 (*      ||I||       Developers:                                           *)
7 (*      ||T||         The HELM team.                                      *)
8 (*      ||A||         http://helm.cs.unibo.it                             *)
9 (*      \   /                                                             *)
10 (*       \ /        This file is distributed under the terms of the       *)
11 (*        v         GNU General Public License Version 2                  *)
12 (*                                                                        *)
13 (**************************************************************************)
14
15 include "basic_2/notation/relations/suptermopt_6.ma".
16 include "basic_2/s_transition/fqu.ma".
17
18 (* OPTIONAL SUPCLOSURE ******************************************************)
19
20 (* Basic_2A1: was: fquqa *)
21 (* Basic_2A1: includes: fquq_inv_gen *)
22 definition fquq: tri_relation genv lenv term ≝ tri_RC … fqu.
23
24 interpretation
25    "optional structural successor (closure)"
26    'SupTermOpt G1 L1 T1 G2 L2 T2 = (fquq G1 L1 T1 G2 L2 T2).
27
28 (* Basic properties *********************************************************)
29
30 (* Basic_2A1: includes: fquqa_refl *)
31 lemma fquq_refl: tri_reflexive … fquq.
32 // qed.
33
34 lemma fqu_fquq: ∀G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊐ ⦃G2, L2, T2⦄ → ⦃G1, L1, T1⦄ ⊐⸮ ⦃G2, L2, T2⦄.
35 /2 width=1 by or_introl/ qed.
36
37 (* Basic_2A1: removed theorems 8:
38               fquq_lref_O fquq_pair_sn fquq_bind_dx fquq_flat_dx fquq_drop
39               fquqa_drop fquq_fquqa fquqa_inv_fquq
40 *)