X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fstatic%2Flfxs_fle.ma;h=cc067e50ae7ac5668174a7149b79b8189b688a03;hb=26d2ecb945a881c61d03f3c259996374209f5d7f;hp=0d851ce6a9626a29052fcff4fd86c4657296d642;hpb=6ed4f0127b8acb6caeba6fbfadef7f990dd7803e;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/static/lfxs_fle.ma b/matita/matita/contribs/lambdadelta/basic_2/static/lfxs_fle.ma index 0d851ce6a..cc067e50a 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/static/lfxs_fle.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/static/lfxs_fle.ma @@ -12,6 +12,7 @@ (* *) (**************************************************************************) +include "basic_2/syntax/lveq_length.ma". include "basic_2/static/fle.ma". include "basic_2/static/lfxs_lfxs.ma". @@ -19,8 +20,10 @@ include "basic_2/static/lfxs_lfxs.ma". (* Properties with free variables inclusion for restricted closures *********) +(* Note: we just need lveq_inv_refl: ∀L,n1,n2. L ≋ⓧ*[n1, n2] L → ∧∧ 0 = n1 & 0 = n2 *) lemma fle_lfxs_trans: ∀R,L1,T1,T2. ⦃L1, T1⦄ ⊆ ⦃L1, T2⦄ → ∀L2. L1 ⪤*[R, T2] L2 → L1 ⪤*[R, T1] L2. -#R #L1 #T1 #T2 * #f1 #f2 #Hf1 #Hf2 #Hf12 #L2 #HL12 +#R #L1 #T1 #T2 * #n1 #n2 #f1 #f2 #Hf1 #Hf2 #Hn #Hf #L2 #HL12 +elim (lveq_inj_length … Hn ?) // #H1 #H2 destruct /4 width=5 by lfxs_inv_frees, sle_lexs_trans, ex2_intro/ qed-.