X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fcomputation%2Fcsx_lleq.ma;h=765861e3bf61dac1d41a1d53918d34908b7d9e85;hb=7a25b8fcba2436a75556db1725c6e1be78a9faca;hp=d56acd9df2bf21a29b132e4d94e1d6f6fa5b27f4;hpb=6aab24b40d5d09561375959043ecd85c8b428d85;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/computation/csx_lleq.ma b/matita/matita/contribs/lambdadelta/basic_2/computation/csx_lleq.ma index d56acd9df..765861e3b 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/computation/csx_lleq.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/computation/csx_lleq.ma @@ -20,11 +20,11 @@ include "basic_2/computation/csx.ma". (* Properties on lazy equivalence for local environments ********************) lemma csx_lleq_conf: ∀h,g,G,L1,T. ⦃G, L1⦄ ⊢ ⬊*[h, g] T → - ∀L2. L1 ⋕[T, 0] L2 → ⦃G, L2⦄ ⊢ ⬊*[h, g] T. + ∀L2. L1 ≡[T, 0] L2 → ⦃G, L2⦄ ⊢ ⬊*[h, g] T. #h #g #G #L1 #T #H @(csx_ind … H) -T /4 width=6 by csx_intro, cpx_lleq_conf_dx, lleq_cpx_trans/ qed-. lemma csx_lleq_trans: ∀h,g,G,L1,L2,T. - L1 ⋕[T, 0] L2 → ⦃G, L2⦄ ⊢ ⬊*[h, g] T → ⦃G, L1⦄ ⊢ ⬊*[h, g] T. + L1 ≡[T, 0] L2 → ⦃G, L2⦄ ⊢ ⬊*[h, g] T → ⦃G, L1⦄ ⊢ ⬊*[h, g] T. /3 width=3 by csx_lleq_conf, lleq_sym/ qed-.