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4 (* ||A|| A project by Andrea Asperti *)
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15 include "static_2/static/feqg_length.ma".
17 (* GENERIC EQUIVALENCE FOR CLOSURES ON REFERRED ENTRIES *********************)
19 (* Properties with structural successor for closures ************************)
21 lemma fqu_fneqg (S) (b) (G1) (G2) (L1) (L2) (T1) (T2):
22 ❨G1,L1,T1❩ ⬂[b] ❨G2,L2,T2❩ → ❨G1,L1,T1❩ ≛[S] ❨G2,L2,T2❩ → ⊥.
23 #S #b #G1 #G2 #L1 #L2 #T1 #T2 #H elim H -G1 -G2 -L1 -L2 -T1 -T2
24 [ /3 width=8 by feqg_fwd_length, nsucc_inv_refl/
25 | /3 width=9 by teqg_inv_pair_xy_x, feqg_fwd_teqg/
26 | /3 width=9 by teqg_inv_pair_xy_y, feqg_fwd_teqg/
27 | /3 width=9 by teqg_inv_pair_xy_y, feqg_fwd_teqg/
28 | /3 width=9 by teqg_inv_pair_xy_y, feqg_fwd_teqg/
29 | /3 width=8 by feqg_fwd_length, nsucc_inv_refl/