X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Flsubsx_rdsx.ma;h=7240fb3b659294dc6a11ba4c942bff7c8e518412;hp=70ba811a931419615ac2ec7e1de8553255473449;hb=f308429a0fde273605a2330efc63268b4ac36c99;hpb=87f57ddc367303c33e19c83cd8989cd561f3185b diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lsubsx_rdsx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lsubsx_rdsx.ma index 70ba811a9..7240fb3b6 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lsubsx_rdsx.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lsubsx_rdsx.ma @@ -22,9 +22,9 @@ include "basic_2/rt_computation/lsubsx.ma". (* Basic_2A1: uses: lsx_cpx_trans_lcosx *) lemma rdsx_cpx_trans_lsubsx (h): - ∀G,L0,T1,T2. ⦃G, L0⦄ ⊢ T1 ⬈[h] T2 → - ∀f,L. G ⊢ L0 ⊆ⓧ[h, f] L → - G ⊢ ⬈*[h, T1] 𝐒⦃L⦄ → G ⊢ ⬈*[h, T2] 𝐒⦃L⦄. + ∀G,L0,T1,T2. ⦃G,L0⦄ ⊢ T1 ⬈[h] T2 → + ∀f,L. G ⊢ L0 ⊆ⓧ[h,f] L → + G ⊢ ⬈*[h,T1] 𝐒⦃L⦄ → G ⊢ ⬈*[h,T2] 𝐒⦃L⦄. #h #G #L0 #T1 #T2 #H @(cpx_ind … H) -G -L0 -T1 -T2 // [ #I0 #G #K0 #V1 #V2 #W2 #_ #IH #HVW2 #g #L #HK0 #HL elim (lsubsx_inv_pair_sn_gen … HK0) -HK0 * @@ -63,13 +63,13 @@ qed-. (* Basic_2A1: uses: lsx_cpx_trans_O *) lemma rdsx_cpx_trans (h): - ∀G,L,T1,T2. ⦃G, L⦄ ⊢ T1 ⬈[h] T2 → - G ⊢ ⬈*[h, T1] 𝐒⦃L⦄ → G ⊢ ⬈*[h, T2] 𝐒⦃L⦄. + ∀G,L,T1,T2. ⦃G,L⦄ ⊢ T1 ⬈[h] T2 → + G ⊢ ⬈*[h,T1] 𝐒⦃L⦄ → G ⊢ ⬈*[h,T2] 𝐒⦃L⦄. /3 width=6 by rdsx_cpx_trans_lsubsx, lsubsx_refl/ qed-. lemma rdsx_cpxs_trans (h): - ∀G,L,T1,T2. ⦃G, L⦄ ⊢ T1 ⬈*[h] T2 → - G ⊢ ⬈*[h, T1] 𝐒⦃L⦄ → G ⊢ ⬈*[h, T2] 𝐒⦃L⦄. + ∀G,L,T1,T2. ⦃G,L⦄ ⊢ T1 ⬈*[h] T2 → + G ⊢ ⬈*[h,T1] 𝐒⦃L⦄ → G ⊢ ⬈*[h,T2] 𝐒⦃L⦄. #h #G #L #T1 #T2 #H @(cpxs_ind_dx ???????? H) -T1 // /3 width=3 by rdsx_cpx_trans/