X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fstatic_2%2Fstatic%2Frdeq_drops.ma;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fstatic_2%2Fstatic%2Frdeq_drops.ma;h=0000000000000000000000000000000000000000;hb=adb9ba187619cea977d1d22971eba27eb437cd6a;hp=15e7ca69ca90952a08807927fa991db543732f08;hpb=f677b4ef7fa20f1ab36c5ee59598865d5c1b719b;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/static_2/static/rdeq_drops.ma b/matita/matita/contribs/lambdadelta/static_2/static/rdeq_drops.ma deleted file mode 100644 index 15e7ca69c..000000000 --- a/matita/matita/contribs/lambdadelta/static_2/static/rdeq_drops.ma +++ /dev/null @@ -1,52 +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 "static_2/relocation/lifts_tdeq.ma". -include "static_2/static/rex_drops.ma". -include "static_2/static/rdeq.ma". - -(* SORT-IRRELEVANT EQUIVALENCE FOR LOCAL ENVIRONMENTS ON REFERRED ENTRIES ***) - -(* Properties with generic slicing for local environments *******************) - -lemma rdeq_lifts_sn: f_dedropable_sn cdeq. -/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: f_dropable_sn cdeq. -/2 width=5 by rex_dropable_sn/ qed-. - -lemma rdeq_inv_lifts_dx: f_dropable_dx cdeq. -/2 width=5 by rex_dropable_dx/ qed-. - -lemma rdeq_inv_lifts_bi: ∀L1,L2,U. L1 ≛[U] L2 → ∀b,f. 𝐔⦃f⦄ → - ∀K1,K2. ⇩*[b,f] L1 ≘ K1 → ⇩*[b,f] L2 ≘ K2 → - ∀T. ⇧*[f] T ≘ U → K1 ≛[T] K2. -/2 width=10 by rex_inv_lifts_bi/ qed-. - -lemma rdeq_inv_lref_pair_sn: ∀L1,L2,i. L1 ≛[#i] L2 → ∀I,K1,V1. ⇩*[i] L1 ≘ K1.ⓑ{I}V1 → - ∃∃K2,V2. ⇩*[i] L2 ≘ K2.ⓑ{I}V2 & K1 ≛[V1] K2 & V1 ≛ V2. -/2 width=3 by rex_inv_lref_pair_sn/ qed-. - -lemma rdeq_inv_lref_pair_dx: ∀L1,L2,i. L1 ≛[#i] L2 → ∀I,K2,V2. ⇩*[i] L2 ≘ K2.ⓑ{I}V2 → - ∃∃K1,V1. ⇩*[i] L1 ≘ K1.ⓑ{I}V1 & K1 ≛[V1] K2 & V1 ≛ V2. -/2 width=3 by rex_inv_lref_pair_dx/ qed-. - -lemma rdeq_inv_lref_pair_bi (L1) (L2) (i): - L1 ≛[#i] L2 → - ∀I1,K1,V1. ⇩*[i] L1 ≘ K1.ⓑ{I1}V1 → - ∀I2,K2,V2. ⇩*[i] L2 ≘ K2.ⓑ{I2}V2 → - ∧∧ K1 ≛[V1] K2 & V1 ≛ V2 & I1 = I2. -/2 width=6 by rex_inv_lref_pair_bi/ qed-.