X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fstatic_2%2Fstatic%2Ffsle.ma;h=659060756188b3c46265e5a6cda5acd723cfc0d6;hb=dc605ae41c39773f55381f241b1ed3db4acf5edd;hp=bfafabbdbb0edfcefae8808a3b750f3ceb567374;hpb=ff612dc35167ec0c145864c9aa8ae5e1ebe20a48;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/static_2/static/fsle.ma b/matita/matita/contribs/lambdadelta/static_2/static/fsle.ma index bfafabbdb..659060756 100644 --- a/matita/matita/contribs/lambdadelta/static_2/static/fsle.ma +++ b/matita/matita/contribs/lambdadelta/static_2/static/fsle.ma @@ -12,7 +12,8 @@ (* *) (**************************************************************************) -include "ground_2/relocation/rtmap_id.ma". +include "ground/xoa/ex_4_4.ma". +include "ground/relocation/rtmap_id.ma". include "static_2/notation/relations/subseteq_4.ma". include "static_2/syntax/lveq.ma". include "static_2/static/frees.ma". @@ -20,8 +21,8 @@ include "static_2/static/frees.ma". (* FREE VARIABLES INCLUSION FOR RESTRICTED CLOSURES *************************) definition fsle: 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. + ∃∃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 = (fsle L1 T1 L2 T2). @@ -31,8 +32,8 @@ interpretation "free variables inclusion (term)" (* Basic properties *********************************************************) -lemma fsle_sort: ∀L,s1,s2. ⦃L, ⋆s1⦄ ⊆ ⦃L, ⋆s2⦄. +lemma fsle_sort: ∀L,s1,s2. ❪L,⋆s1❫ ⊆ ❪L,⋆s2❫. /3 width=8 by frees_sort, sle_refl, ex4_4_intro/ qed. -lemma fsle_gref: ∀L,l1,l2. ⦃L, §l1⦄ ⊆ ⦃L, §l2⦄. +lemma fsle_gref: ∀L,l1,l2. ❪L,§l1❫ ⊆ ❪L,§l2❫. /3 width=8 by frees_gref, sle_refl, ex4_4_intro/ qed.