lemma nap_plus_lift_rmap_append_closed_Lq_dx (o) (f) (p) (q) (m) (n):
q ϵ 𝐂❨o,n❩ →
- 🠢[f](p)@❨m❩+🠢[f](p●𝗟◗q)@§❨n❩ = 🠢[f](p●𝗟◗q)@§❨m+n❩.
+ 🠢[f]p@❨m❩+🠢[f](p●𝗟◗q)@§❨n❩ = 🠢[f](p●𝗟◗q)@§❨m+n❩.
#o #f #p #q #m #n #Hq
+<tr_nap_plus_dx_xap
/4 width=2 by eq_f2, tr_xap_eq_repl, tls_succ_lift_rmap_append_closed_Lq_dx/
qed-.