X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Frsx_drops.ma;h=b8d78ca674dbb34472a340c1584c82e840bd0330;hp=c4f6113ce7e70975937776885ac7e51248c43388;hb=3c7b4071a9ac096b02334c1d47468776b948e2de;hpb=2f6f2b7c01d47d23f61dd48d767bcb37aecdcfea diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rsx_drops.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rsx_drops.ma index c4f6113ce..b8d78ca67 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rsx_drops.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rsx_drops.ma @@ -17,15 +17,15 @@ include "basic_2/rt_transition/lpx_drops.ma". include "basic_2/rt_computation/rsx_length.ma". include "basic_2/rt_computation/rsx_fqup.ma". -(* STRONGLY NORMALIZING REFERRED LOCAL ENV.S FOR UNBOUND RT-TRANSITION ******) +(* STRONGLY NORMALIZING REFERRED LOCAL ENVS FOR EXTENDED RT-TRANSITION ******) (* Properties with generic relocation ***************************************) (* Note: this uses length *) (* Basic_2A1: uses: lsx_lift_le lsx_lift_ge *) -lemma rsx_lifts (h) (G): - d_liftable1_isuni … (λL,T. G ⊢ ⬈*𝐒[h,T] L). -#h #G #K #T #H @(rsx_ind … H) -K +lemma rsx_lifts (G): + d_liftable1_isuni … (λL,T. G ⊢ ⬈*𝐒[T] L). +#G #K #T #H @(rsx_ind … H) -K #K1 #_ #IH #b #f #L1 #HLK1 #Hf #U #HTU @rsx_intro #L2 #HL12 #HnL12 elim (lpx_drops_conf … HLK1 … HL12) /5 width=9 by reqx_lifts_bi, lpx_fwd_length/ @@ -34,9 +34,9 @@ qed-. (* Inversion lemmas on relocation *******************************************) (* Basic_2A1: uses: lsx_inv_lift_le lsx_inv_lift_be lsx_inv_lift_ge *) -lemma rsx_inv_lifts (h) (G): - d_deliftable1_isuni … (λL,T. G ⊢ ⬈*𝐒[h,T] L). -#h #G #L #U #H @(rsx_ind … H) -L +lemma rsx_inv_lifts (G): + d_deliftable1_isuni … (λL,T. G ⊢ ⬈*𝐒[T] L). +#G #L #U #H @(rsx_ind … H) -L #L1 #_ #IH #b #f #K1 #HLK1 #Hf #T #HTU @rsx_intro #K2 #HK12 #HnK12 elim (drops_lpx_trans … HLK1 … HK12) -HK12 /4 width=10 by reqx_inv_lifts_bi/ @@ -45,26 +45,26 @@ qed-. (* Advanced properties ******************************************************) (* Basic_2A1: uses: lsx_lref_free *) -lemma rsx_lref_atom_drops (h) (G): - ∀L,i. ⇩*[Ⓕ,𝐔❨i❩] L ≘ ⋆ → G ⊢ ⬈*𝐒[h,#i] L. -#h #G #L1 #i #HL1 +lemma rsx_lref_atom_drops (G): + ∀L,i. ⇩*[Ⓕ,𝐔❨i❩] L ≘ ⋆ → G ⊢ ⬈*𝐒[#i] L. +#G #L1 #i #HL1 @(rsx_lifts … (#0) … HL1) -HL1 // qed. (* Basic_2A1: uses: lsx_lref_skip *) -lemma rsx_lref_unit_drops (h) (G): - ∀I,L,K,i. ⇩[i] L ≘ K.ⓤ[I] → G ⊢ ⬈*𝐒[h,#i] L. -#h #G #I #L1 #K1 #i #HL1 +lemma rsx_lref_unit_drops (G): + ∀I,L,K,i. ⇩[i] L ≘ K.ⓤ[I] → G ⊢ ⬈*𝐒[#i] L. +#G #I #L1 #K1 #i #HL1 @(rsx_lifts … (#0) … HL1) -HL1 // qed. (* Advanced forward lemmas **************************************************) (* Basic_2A1: uses: lsx_fwd_lref_be *) -lemma rsx_fwd_lref_pair_drops (h) (G): - ∀L,i. G ⊢ ⬈*𝐒[h,#i] L → - ∀I,K,V. ⇩[i] L ≘ K.ⓑ[I]V → G ⊢ ⬈*𝐒[h,V] K. -#h #G #L #i #HL #I #K #V #HLK +lemma rsx_fwd_lref_pair_drops (G): + ∀L,i. G ⊢ ⬈*𝐒[#i] L → + ∀I,K,V. ⇩[i] L ≘ K.ⓑ[I]V → G ⊢ ⬈*𝐒[V] K. +#G #L #i #HL #I #K #V #HLK lapply (rsx_inv_lifts … HL … HLK … (#0) ?) -L /2 width=2 by rsx_fwd_pair/ qed-.