X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fstatic%2Ffsle_length.ma;h=9f54a92e412a15b5891d3972e43e2e4c353e87b1;hp=c2275e65f84fc0b1aa5184c42d4e5abd93499869;hb=222044da28742b24584549ba86b1805a87def070;hpb=990f97071a9939d47be16b36f6045d3b23f218e0 diff --git a/matita/matita/contribs/lambdadelta/basic_2/static/fsle_length.ma b/matita/matita/contribs/lambdadelta/basic_2/static/fsle_length.ma index c2275e65f..9f54a92e4 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/static/fsle_length.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/static/fsle_length.ma @@ -25,7 +25,7 @@ lemma fsle_sort_bi: ∀L1,L2,s1,s2. |L1| = |L2| → ⦃L1, ⋆s1⦄ ⊆ ⦃L2, lemma fsle_gref_bi: ∀L1,L2,l1,l2. |L1| = |L2| → ⦃L1, §l1⦄ ⊆ ⦃L2, §l2⦄. /3 width=8 by lveq_length_eq, frees_gref, sle_refl, ex4_4_intro/ qed. -lemma fsle_zero_bi: ∀K1,K2. |K1| = |K2| → ∀V1,V2. ⦃K1, V1⦄ ⊆ ⦃K2, V2⦄ → +lemma fsle_pair_bi: ∀K1,K2. |K1| = |K2| → ∀V1,V2. ⦃K1, V1⦄ ⊆ ⦃K2, V2⦄ → ∀I1,I2. ⦃K1.ⓑ{I1}V1, #O⦄ ⊆ ⦃K2.ⓑ{I2}V2, #O⦄. #K1 #K2 #HK #V1 #V2 * #n1 #n2 #f1 #f2 #Hf1 #Hf2 #HK12 #Hf12 @@ -33,3 +33,8 @@ lemma fsle_zero_bi: ∀K1,K2. |K1| = |K2| → ∀V1,V2. ⦃K1, V1⦄ ⊆ ⦃K2, elim (lveq_inj_length … HK12) // -HK #H1 #H2 destruct /3 width=12 by frees_pair, lveq_bind, sle_next, ex4_4_intro/ qed. + +lemma fsle_unit_bi: ∀K1,K2. |K1| = |K2| → + ∀I1,I2. ⦃K1.ⓤ{I1}, #O⦄ ⊆ ⦃K2.ⓤ{I2}, #O⦄. +/3 width=8 by frees_unit, lveq_length_eq, sle_refl, ex4_4_intro/ +qed.