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update in ground_2 and basic_2
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / static / fle.ma
index 921c37b8842e95e442f87c3bf172d961da1322ba..cfc4778db2cf5fa4768ef8b582e7ea9ec18411ea 100644 (file)
 (*                                                                        *)
 (**************************************************************************)
 
-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).