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_csx.ma;h=24ff0f82a6a3e4160d8197ed9729cca020aa499e;hp=f9f97bca8c91aea82c7c9dbb64d56b4e7bc738e6;hb=25c634037771dff0138e5e8e3d4378183ff49b86;hpb=bd53c4e895203eb049e75434f638f26b5a161a2b diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rsx_csx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rsx_csx.ma index f9f97bca8..24ff0f82a 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rsx_csx.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rsx_csx.ma @@ -38,7 +38,7 @@ lemma rsx_fwd_lref_pair_csx (h) (G): /2 width=4 by rsx_fwd_lref_pair_csx_aux/ qed-. lemma rsx_fwd_lref_pair_csx_drops (h) (G): - ∀I,K,V,i,L. ⇩*[i] L ≘ K.ⓑ[I]V → G ⊢ ⬈*[h,#i] 𝐒❪L❫ → ❪G,K❫ ⊢ ⬈*[h] 𝐒❪V❫. + ∀I,K,V,i,L. ⇩[i] L ≘ K.ⓑ[I]V → G ⊢ ⬈*[h,#i] 𝐒❪L❫ → ❪G,K❫ ⊢ ⬈*[h] 𝐒❪V❫. #h #G #I #K #V #i elim i -i [ #L #H >(drops_fwd_isid … H) -H /2 width=2 by rsx_fwd_lref_pair_csx/ @@ -57,15 +57,15 @@ lemma rsx_inv_lref_pair (h) (G): /3 width=2 by rsx_fwd_lref_pair_csx, rsx_fwd_pair, conj/ qed-. lemma rsx_inv_lref_pair_drops (h) (G): - ∀I,K,V,i,L. ⇩*[i] L ≘ K.ⓑ[I]V → G ⊢ ⬈*[h,#i] 𝐒❪L❫ → + ∀I,K,V,i,L. ⇩[i] L ≘ K.ⓑ[I]V → G ⊢ ⬈*[h,#i] 𝐒❪L❫ → ∧∧ ❪G,K❫ ⊢ ⬈*[h] 𝐒❪V❫ & G ⊢ ⬈*[h,V] 𝐒❪K❫. /3 width=5 by rsx_fwd_lref_pair_csx_drops, rsx_fwd_lref_pair_drops, conj/ qed-. lemma rsx_inv_lref_drops (h) (G): ∀L,i. G ⊢ ⬈*[h,#i] 𝐒❪L❫ → ∨∨ ⇩*[Ⓕ,𝐔❨i❩] L ≘ ⋆ - | ∃∃I,K. ⇩*[i] L ≘ K.ⓤ[I] - | ∃∃I,K,V. ⇩*[i] L ≘ K.ⓑ[I]V & ❪G,K❫ ⊢ ⬈*[h] 𝐒❪V❫ & G ⊢ ⬈*[h,V] 𝐒❪K❫. + | ∃∃I,K. ⇩[i] L ≘ K.ⓤ[I] + | ∃∃I,K,V. ⇩[i] L ≘ K.ⓑ[I]V & ❪G,K❫ ⊢ ⬈*[h] 𝐒❪V❫ & G ⊢ ⬈*[h,V] 𝐒❪K❫. #h #G #L #i #H elim (drops_F_uni L i) [ /2 width=1 by or3_intro0/ | * * /4 width=10 by rsx_fwd_lref_pair_csx_drops, rsx_fwd_lref_pair_drops, ex3_3_intro, ex1_2_intro, or3_intro2, or3_intro1/ @@ -102,7 +102,7 @@ lemma rsx_lref_pair (h) (G): (* Basic_2A1: uses: lsx_lref_be *) lemma rsx_lref_pair_drops (h) (G): ∀K,V. ❪G,K❫ ⊢ ⬈*[h] 𝐒❪V❫ → G ⊢ ⬈*[h,V] 𝐒❪K❫ → - ∀I,i,L. ⇩*[i] L ≘ K.ⓑ[I]V → G ⊢ ⬈*[h,#i] 𝐒❪L❫. + ∀I,i,L. ⇩[i] L ≘ K.ⓑ[I]V → G ⊢ ⬈*[h,#i] 𝐒❪L❫. #h #G #K #V #HV #HK #I #i elim i -i [ #L #H >(drops_fwd_isid … H) -H /2 width=1 by rsx_lref_pair/ | #i #IH #L #H