X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_transition%2Fcwhx_rdeq.ma;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_transition%2Fcwhx_rdeq.ma;h=0000000000000000000000000000000000000000;hb=31be09cc0d040577917783e050e1d38c0daa8f01;hp=df1a77e38477b1f4bd36afeda7eab7391d5b37e5;hpb=bf2b1df641df98a3b614a8c3d53edee8beb0964a;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cwhx_rdeq.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cwhx_rdeq.ma deleted file mode 100644 index df1a77e38..000000000 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cwhx_rdeq.ma +++ /dev/null @@ -1,41 +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/static/rdeq_fqup.ma". -include "basic_2/rt_transition/cwhx.ma". - -(* WHD NORMAL TERMS FOR UNBOUND CONTEXT-SENSITIVE PARALLEL RT-TRANSITION ****) - -(* Properties with sort-irrelevant equivalence ******************************) - -lemma rdeq_tdeq_cwhx_trans (h) (G): - ∀L2,T2. ⦃G,L2⦄ ⊢ ⬈[h] 𝐖𝐇⦃T2⦄ → - ∀T1. T1 ≛ T2 → - ∀L1. L1 ≛[T1] L2 → ⦃G,L1⦄ ⊢ ⬈[h] 𝐖𝐇⦃T1⦄. -#h #G #L2 #T2 #H elim H -L2 -T2 -[ #L2 #s2 #X1 #HX #L1 #HL - elim (tdeq_inv_sort2 … HX) -HX #s1 #H destruct -s2 // -| #p #L2 #W2 #T2 #X1 #HX #L1 #HL - elim (tdeq_inv_pair2 … HX) -HX #W1 #T1 #_ #_ #H destruct -W2 -T2 // -| #L2 #V2 #T2 #_ #IH #X1 #HX #L1 #HL - elim (tdeq_inv_pair2 … HX) -HX #V1 #T1 #HV12 #HT12 #H destruct - elim (rdeq_inv_bind … HL) -HL #HV1 #HT1 - /5 width=2 by cwhx_ldef, rdeq_bind_repl_dx, ext2_pair/ -] -qed-. - -lemma tdeq_cwhx_trans (h) (G) (L): - ∀T2. ⦃G,L⦄ ⊢ ⬈[h] 𝐖𝐇⦃T2⦄ → - ∀T1. T1 ≛ T2 → ⦃G,L⦄ ⊢ ⬈[h] 𝐖𝐇⦃T1⦄. -/3 width=5 by rdeq_tdeq_cwhx_trans/ qed-.