X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fstatic%2Frdeq_drops.ma;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fstatic%2Frdeq_drops.ma;h=0000000000000000000000000000000000000000;hb=ff612dc35167ec0c145864c9aa8ae5e1ebe20a48;hp=1cff3b95cee932095d83308d474debd60c9e2114;hpb=222044da28742b24584549ba86b1805a87def070;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/static/rdeq_drops.ma b/matita/matita/contribs/lambdadelta/basic_2/static/rdeq_drops.ma deleted file mode 100644 index 1cff3b95c..000000000 --- a/matita/matita/contribs/lambdadelta/basic_2/static/rdeq_drops.ma +++ /dev/null @@ -1,47 +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 "basic_2/relocation/lifts_tdeq.ma". -include "basic_2/static/rex_drops.ma". -include "basic_2/static/rdeq.ma". - -(* DEGREE-BASED EQUIVALENCE FOR LOCAL ENVIRONMENTS ON REFERRED ENTRIES ******) - -(* Properties with generic slicing for local environments *******************) - -lemma rdeq_lifts_sn: ∀h,o. f_dedropable_sn (cdeq h o). -/3 width=5 by rex_liftable_dedropable_sn, tdeq_lifts_sn/ qed-. - -(* Inversion lemmas with generic slicing for local environments *************) - -lemma rdeq_inv_lifts_sn: ∀h,o. f_dropable_sn (cdeq h o). -/2 width=5 by rex_dropable_sn/ qed-. - -(* Note: missing in basic_2A1 *) -lemma rdeq_inv_lifts_dx: ∀h,o. f_dropable_dx (cdeq h o). -/2 width=5 by rex_dropable_dx/ qed-. - -(* Basic_2A1: uses: lleq_inv_lift_le lleq_inv_lift_be lleq_inv_lift_ge *) -lemma rdeq_inv_lifts_bi: ∀h,o,L1,L2,U. L1 ≛[h, o, U] L2 → ∀b,f. 𝐔⦃f⦄ → - ∀K1,K2. ⬇*[b, f] L1 ≘ K1 → ⬇*[b, f] L2 ≘ K2 → - ∀T. ⬆*[f] T ≘ U → K1 ≛[h, o, T] K2. -/2 width=10 by rex_inv_lifts_bi/ qed-. - -lemma rdeq_inv_lref_pair_sn: ∀h,o,L1,L2,i. L1 ≛[h, o, #i] L2 → ∀I,K1,V1. ⬇*[i] L1 ≘ K1.ⓑ{I}V1 → - ∃∃K2,V2. ⬇*[i] L2 ≘ K2.ⓑ{I}V2 & K1 ≛[h, o, V1] K2 & V1 ≛[h, o] V2. -/2 width=3 by rex_inv_lref_pair_sn/ qed-. - -lemma rdeq_inv_lref_pair_dx: ∀h,o,L1,L2,i. L1 ≛[h, o, #i] L2 → ∀I,K2,V2. ⬇*[i] L2 ≘ K2.ⓑ{I}V2 → - ∃∃K1,V1. ⬇*[i] L1 ≘ K1.ⓑ{I}V1 & K1 ≛[h, o, V1] K2 & V1 ≛[h, o] V2. -/2 width=3 by rex_inv_lref_pair_dx/ qed-.