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1 (**************************************************************************)
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14
15 include "ground/relocation/pr_isi_eq.ma".
16 include "ground/relocation/pr_fcla.ma".
17
18 (* FINITE COLENGTH ASSIGNMENT FOR PARTIAL RELOCATION MAPS *******************)
19
20 (* Constructions with pr_eq *************************************************)
21
22 (*** fcla_eq_repl_back *)
23 lemma pr_fcla_eq_repl_back (n):
24       pr_eq_repl_back … (λf. 𝐂❨f❩ ≘ n).
25 #n #f1 #H elim H -f1 -n /3 width=3 by pr_fcla_isi, pr_isi_eq_repl_back/
26 #f1 #n #_ #IH #g2 #H [ elim (pr_eq_inv_push_sn … H) | elim (pr_eq_inv_next_sn … H) ] -H
27 /3 width=3 by pr_fcla_push, pr_fcla_next/
28 qed-.
29
30 (*** fcla_eq_repl_fwd *)
31 lemma fcla_eq_repl_fwd (n):
32       pr_eq_repl_fwd … (λf. 𝐂❨f❩ ≘ n).
33 #n @pr_eq_repl_sym /2 width=3 by pr_fcla_eq_repl_back/
34 qed-.