X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fstatic%2Fffdeq.ma;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fstatic%2Fffdeq.ma;h=0000000000000000000000000000000000000000;hb=222044da28742b24584549ba86b1805a87def070;hp=ac4a6b16923480a64738442c06351f5d16099b58;hpb=5c186c72f508da0849058afeecc6877cd9ed6303;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/static/ffdeq.ma b/matita/matita/contribs/lambdadelta/basic_2/static/ffdeq.ma deleted file mode 100644 index ac4a6b169..000000000 --- a/matita/matita/contribs/lambdadelta/basic_2/static/ffdeq.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 "basic_2/notation/relations/stareqsn_8.ma". -include "basic_2/syntax/genv.ma". -include "basic_2/static/lfdeq.ma". - -(* DEGREE-BASED EQUIVALENCE FOR CLOSURES ON REFERRED ENTRIES ****************) - -inductive ffdeq (h) (o) (G) (L1) (T1): relation3 genv lenv term ≝ -| ffdeq_intro_sn: ∀L2,T2. L1 ≛[h, o, T1] L2 → T1 ≛[h, o] T2 → - ffdeq h o G L1 T1 G L2 T2 -. - -interpretation - "degree-based equivalence on referred entries (closure)" - 'StarEqSn h o G1 L1 T1 G2 L2 T2 = (ffdeq h o G1 L1 T1 G2 L2 T2). - -(* Basic_properties *********************************************************) - -lemma ffdeq_intro_dx (h) (o) (G): ∀L1,L2,T2. L1 ≛[h, o, T2] L2 → - ∀T1. T1 ≛[h, o] T2 → ⦃G, L1, T1⦄ ≛[h, o] ⦃G, L2, T2⦄. -/3 width=3 by ffdeq_intro_sn, tdeq_lfdeq_div/ qed. - -(* Basic inversion lemmas ***************************************************) - -lemma ffdeq_inv_gen_sn: ∀h,o,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ≛[h, o] ⦃G2, L2, T2⦄ → - ∧∧ G1 = G2 & L1 ≛[h, o, T1] L2 & T1 ≛[h, o] T2. -#h #o #G1 #G2 #L1 #L2 #T1 #T2 * -G2 -L2 -T2 /2 width=1 by and3_intro/ -qed-. - -lemma ffdeq_inv_gen_dx: ∀h,o,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ≛[h, o] ⦃G2, L2, T2⦄ → - ∧∧ G1 = G2 & L1 ≛[h, o, T2] L2 & T1 ≛[h, o] T2. -#h #o #G1 #G2 #L1 #L2 #T1 #T2 * -G2 -L2 -T2 -/3 width=3 by tdeq_lfdeq_conf, and3_intro/ -qed-. - -(* Basic_2A1: removed theorems 6: - fleq_refl fleq_sym fleq_inv_gen - fleq_trans fleq_canc_sn fleq_canc_dx -*)