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14
15 include "ground/relocation/tr_eq.ma".
16 include "ground/relocation/tr_pn.ma".
17
18 (* PUSH AND NEXT FOR TOTAL RELOCATION MAPS **********************************)
19
20 (* Constructions with stream_eq *********************************************)
21
22 lemma tr_push_eq_repl:
23       stream_eq_repl … (λf1,f2. ⫯f1 ≗ ⫯f2).
24 /2 width=1 by stream_eq_cons/ qed.
25
26 lemma tr_next_eq_repl:
27       stream_eq_repl … (λf1,f2. ↑f1 ≗ ↑f2).
28 * #p1 #f1 * #p2 #f2 #H
29 elim (stream_eq_inv_cons_bi … H) -H [|*: // ]
30 /2 width=1 by stream_eq_cons/
31 qed.