X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Frdsx_rdsx.ma;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Frdsx_rdsx.ma;h=0000000000000000000000000000000000000000;hb=a454837a256907d2f83d42ced7be847e10361ea9;hp=861fe1f45789084e20a09a6afae3cbd533f54d9f;hpb=b4283c079ed7069016b8d924bbc7e08872440829;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rdsx_rdsx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rdsx_rdsx.ma deleted file mode 100644 index 861fe1f45..000000000 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rdsx_rdsx.ma +++ /dev/null @@ -1,38 +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/rt_transition/lpx_rdeq.ma". -include "basic_2/rt_computation/rdsx.ma". - -(* STRONGLY NORMALIZING REFERRED LOCAL ENV.S FOR UNBOUND RT-TRANSITION ******) - -(* Advanced properties ******************************************************) - -(* Basic_2A1: uses: lsx_lleq_trans *) -lemma rdsx_rdeq_trans (h) (G): - ∀L1,T. G ⊢ ⬈*[h,T] 𝐒⦃L1⦄ → - ∀L2. L1 ≛[T] L2 → G ⊢ ⬈*[h,T] 𝐒⦃L2⦄. -#h #G #L1 #T #H @(rdsx_ind … H) -L1 -#L1 #_ #IHL1 #L2 #HL12 @rdsx_intro -#L #HL2 #HnL2 elim (rdeq_lpx_trans … HL2 … HL12) -HL2 -/4 width=5 by rdeq_repl/ -qed-. - -(* Basic_2A1: uses: lsx_lpx_trans *) -lemma rdsx_lpx_trans (h) (G): - ∀L1,T. G ⊢ ⬈*[h,T] 𝐒⦃L1⦄ → - ∀L2. ⦃G,L1⦄ ⊢ ⬈[h] L2 → G ⊢ ⬈*[h,T] 𝐒⦃L2⦄. -#h #G #L1 #T #H @(rdsx_ind … H) -L1 #L1 #HL1 #IHL1 #L2 #HL12 -elim (rdeq_dec L1 L2 T) /3 width=4 by rdsx_rdeq_trans/ -qed-.