X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Fcsx_csx.ma;h=6948d70bbef9d6bf8b169fa58b20fdc5d658b607;hp=0500e42547b2dc03494919ce9cfc8ef146f60ce4;hb=25c634037771dff0138e5e8e3d4378183ff49b86;hpb=bd53c4e895203eb049e75434f638f26b5a161a2b diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_csx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_csx.ma index 0500e4254..6948d70bb 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_csx.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_csx.ma @@ -55,7 +55,7 @@ qed. (* Basic_1: was just: sn3_abbr *) (* Basic_2A1: was: csx_lref_bind *) lemma csx_lref_pair_drops (h) (G): - ∀I,L,K,V,i. ⇩*[i] L ≘ K.ⓑ[I]V → + ∀I,L,K,V,i. ⇩[i] L ≘ K.ⓑ[I]V → ❪G,K❫ ⊢ ⬈*[h] 𝐒❪V❫ → ❪G,L❫ ⊢ ⬈*[h] 𝐒❪#i❫. #h #G #I #L #K #V #i #HLK #HV @csx_intro #X #H #Hi elim (cpx_inv_lref1_drops … H) -H @@ -71,7 +71,7 @@ qed. (* Basic_1: was: sn3_gen_def *) (* Basic_2A1: was: csx_inv_lref_bind *) lemma csx_inv_lref_pair_drops (h) (G): - ∀I,L,K,V,i. ⇩*[i] L ≘ K.ⓑ[I]V → + ∀I,L,K,V,i. ⇩[i] L ≘ K.ⓑ[I]V → ❪G,L❫ ⊢ ⬈*[h] 𝐒❪#i❫ → ❪G,K❫ ⊢ ⬈*[h] 𝐒❪V❫. #h #G #I #L #K #V #i #HLK #Hi elim (lifts_total V (𝐔❨↑i❩)) @@ -81,8 +81,8 @@ qed-. lemma csx_inv_lref_drops (h) (G): ∀L,i. ❪G,L❫ ⊢ ⬈*[h] 𝐒❪#i❫ → ∨∨ ⇩*[Ⓕ,𝐔❨i❩] L ≘ ⋆ - | ∃∃I,K. ⇩*[i] L ≘ K.ⓤ[I] - | ∃∃I,K,V. ⇩*[i] L ≘ K.ⓑ[I]V & ❪G,K❫ ⊢ ⬈*[h] 𝐒❪V❫. + | ∃∃I,K. ⇩[i] L ≘ K.ⓤ[I] + | ∃∃I,K,V. ⇩[i] L ≘ K.ⓑ[I]V & ❪G,K❫ ⊢ ⬈*[h] 𝐒❪V❫. #h #G #L #i #H elim (drops_F_uni L i) /2 width=1 by or3_intro0/ * * /4 width=9 by csx_inv_lref_pair_drops, ex2_3_intro, ex1_2_intro, or3_intro2, or3_intro1/ qed-.