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4 (* ||A|| A project by Andrea Asperti *)
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15 include "basic_2/static/lfdeq_lfeq.ma".
16 include "basic_2/static/ffdeq.ma".
18 (* DEGREE-BASED EQUIVALENCE FOR CLOSURES ON REFERRED ENTRIES ****************)
20 (* Properties with syntactic equivalence on referred entries ****************)
22 lemma lfeq_lfdeq_trans: ∀h,o,L1,L,T1. L1 ≡[T1] L →
23 ∀G1,G2,L2,T2. ⦃G1, L, T1⦄ ≛[h, o] ⦃G2, L2, T2⦄ → ⦃G1, L1, T1⦄ ≛[h, o] ⦃G2, L2, T2⦄.
24 #h #o #L1 #L #T1 #HL1 #G1 #G2 #L2 #T2 #H
25 elim (ffdeq_inv_gen_sn … H) -H #H #HL2 #T12 destruct
26 /3 width=3 by ffdeq_intro_sn, lfeq_lfdeq_trans/