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14
15 include "basic_2/notation/relations/isidentity_2.ma".
16 include "basic_2/static/frees.ma".
17
18 (* FREE VARIABLES IDENTITY FOR RESTRICTED CLOSURES **************************)
19
20 definition fid: relation2 … ≝ λL,T.
21                 ∀f. L ⊢ 𝐅*⦃T⦄ ≡ f →  𝐈⦃f⦄.
22
23 interpretation "free variables identity (restricted closure)"
24    'IsIdentity L T = (fid L T).
25
26 (* Basic properties *********************************************************)
27
28 lemma fid_sort: ∀L,s. 𝐈⦃L, ⋆s⦄.
29 /2 width=3 by frees_inv_sort/ qed.
30
31 lemma fid_gref: ∀L,l. 𝐈⦃L, §l⦄.
32 /2 width=3 by frees_inv_gref/ qed.