(* UNIFORM ELEMENTS FOR TOTAL RELOCATION MAPS *******************************)
+(* Constructions with tr_compose and tr_next ********************************)
+
+lemma tr_compose_uni_unit_sn (f):
+ ↑f ≗ 𝐮❨𝟏❩∘f.
+#f >nsucc_zero <tr_uni_succ //
+qed.
+
(* Constructions with tr_compose and tr_tl **********************************)
lemma tr_tl_compose_uni_sn (n) (f):
(* Main constructions with tr_compose and tr_tls ****************************)
-theorem tr_compose_uni_dx (f) (p):
+theorem tr_compose_uni_dx_pap (f) (p):
(𝐮❨f@⧣❨p❩❩∘⇂*[p]f) ≗ f∘𝐮❨p❩.
#f #p
@nstream_eq_inv_ext #q