X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Frdsx_drops.ma;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Frdsx_drops.ma;h=0000000000000000000000000000000000000000;hb=a454837a256907d2f83d42ced7be847e10361ea9;hp=3c1c6ac7eba025e324c0c10e3424d153e50068ba;hpb=b4283c079ed7069016b8d924bbc7e08872440829;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rdsx_drops.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rdsx_drops.ma deleted file mode 100644 index 3c1c6ac7e..000000000 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rdsx_drops.ma +++ /dev/null @@ -1,66 +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_drops.ma". -include "basic_2/rt_transition/lpx_drops.ma". -include "basic_2/rt_computation/rdsx_length.ma". -include "basic_2/rt_computation/rdsx_fqup.ma". - -(* STRONGLY NORMALIZING REFERRED LOCAL ENV.S FOR UNBOUND RT-TRANSITION ******) - -(* Properties with generic relocation ***************************************) - -(* Note: this uses length *) -(* Basic_2A1: uses: lsx_lift_le lsx_lift_ge *) -lemma rdsx_lifts (h) (G): d_liftable1_isuni … (λL,T. G ⊢ ⬈*[h,T] 𝐒⦃L⦄). -#h #G #K #T #H @(rdsx_ind … H) -K -#K1 #_ #IH #b #f #L1 #HLK1 #Hf #U #HTU @rdsx_intro -#L2 #HL12 #HnL12 elim (lpx_drops_conf … HLK1 … HL12) -/5 width=9 by rdeq_lifts_bi, lpx_fwd_length/ -qed-. - -(* Inversion lemmas on relocation *******************************************) - -(* Basic_2A1: uses: lsx_inv_lift_le lsx_inv_lift_be lsx_inv_lift_ge *) -lemma rdsx_inv_lifts (h) (G): d_deliftable1_isuni … (λL,T. G ⊢ ⬈*[h,T] 𝐒⦃L⦄). -#h #G #L #U #H @(rdsx_ind … H) -L -#L1 #_ #IH #b #f #K1 #HLK1 #Hf #T #HTU @rdsx_intro -#K2 #HK12 #HnK12 elim (drops_lpx_trans … HLK1 … HK12) -HK12 -/4 width=10 by rdeq_inv_lifts_bi/ -qed-. - -(* Advanced properties ******************************************************) - -(* Basic_2A1: uses: lsx_lref_free *) -lemma rdsx_lref_atom (h) (G): ∀L,i. ⬇*[Ⓕ,𝐔❴i❵] L ≘ ⋆ → G ⊢ ⬈*[h,#i] 𝐒⦃L⦄. -#h #G #L1 #i #HL1 -@(rdsx_lifts … (#0) … HL1) -HL1 // -qed. - -(* Basic_2A1: uses: lsx_lref_skip *) -lemma rdsx_lref_unit (h) (G): ∀I,L,K,i. ⬇*[i] L ≘ K.ⓤ{I} → G ⊢ ⬈*[h,#i] 𝐒⦃L⦄. -#h #G #I #L1 #K1 #i #HL1 -@(rdsx_lifts … (#0) … HL1) -HL1 // -qed. - -(* Advanced forward lemmas **************************************************) - -(* Basic_2A1: uses: lsx_fwd_lref_be *) -lemma rdsx_fwd_lref_pair (h) (G): - ∀L,i. G ⊢ ⬈*[h,#i] 𝐒⦃L⦄ → - ∀I,K,V. ⬇*[i] L ≘ K.ⓑ{I}V → G ⊢ ⬈*[h,V] 𝐒⦃K⦄. -#h #G #L #i #HL #I #K #V #HLK -lapply (rdsx_inv_lifts … HL … HLK … (#0) ?) -L -/2 width=2 by rdsx_fwd_pair/ -qed-.