X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fstatic%2Ffle.ma;h=cfc4778db2cf5fa4768ef8b582e7ea9ec18411ea;hp=921c37b8842e95e442f87c3bf172d961da1322ba;hb=990f97071a9939d47be16b36f6045d3b23f218e0;hpb=42705ef31dd3513a998533e02b5f20fb38dd4fb2 diff --git a/matita/matita/contribs/lambdadelta/basic_2/static/fle.ma b/matita/matita/contribs/lambdadelta/basic_2/static/fle.ma index 921c37b88..cfc4778db 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/static/fle.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/static/fle.ma @@ -12,24 +12,9 @@ (* *) (**************************************************************************) -include "ground_2/relocation/rtmap_id.ma". -include "basic_2/notation/relations/subseteq_4.ma". -include "basic_2/syntax/lveq.ma". -include "basic_2/static/frees.ma". +include "basic_2/static/fsle.ma". -(* FREE VARIABLES INCLUSION FOR RESTRICTED CLOSURES *************************) +(* FREE VARIABLES INCLUSION FOR TERMS ***************************************) -definition fle: bi_relation lenv term ≝ λL1,T1,L2,T2. - ∃∃n1,n2,f1,f2. L1 ⊢ 𝐅*⦃T1⦄ ≡ f1 & L2 ⊢ 𝐅*⦃T2⦄ ≡ f2 & - L1 ≋ⓧ*[n1, n2] L2 & ⫱*[n1]f1 ⊆ ⫱*[n2]f2. - -interpretation "free variables inclusion (restricted closure)" - 'SubSetEq L1 T1 L2 T2 = (fle L1 T1 L2 T2). - -(* Basic properties *********************************************************) - -lemma fle_sort: ∀L,s1,s2. ⦃L, ⋆s1⦄ ⊆ ⦃L, ⋆s2⦄. -/3 width=8 by frees_sort, sle_refl, ex4_4_intro/ qed. - -lemma fle_gref: ∀L,l1,l2. ⦃L, §l1⦄ ⊆ ⦃L, §l2⦄. -/3 width=8 by frees_gref, sle_refl, ex4_4_intro/ qed. +interpretation "free variables inclusion (term)" + 'subseteq T1 T2 = (fsle LAtom T1 LAtom T2).