- ▶[f]p@❨m❩+♭q = ▶[f](p●𝗟◗q)@§❨m+n❩.
-#o #f #p #q #m #n #Hq
-<tr_nap_plus @eq_f2
-[ <(tr_xap_eq_repl … (tls_succ_unwind2_rmap_append_closed_Lq_dx …)) //
-| /2 width=2 by nap_unwind2_rmap_append_closed_Lq_dx_depth/
-]
-qed-.
-
-lemma nap_plus_unwind2_rmap_append_closed_bLq_dx_depth (o) (f) (p) (b) (q) (m) (n):
- b ϵ 𝐂❨Ⓣ,m❩ → q ϵ 𝐂❨o,n❩ →
- ♭b+♭q = ▶[f](p●b●𝗟◗q)@§❨m+n❩.
-#o #f #p #b #q #m #n #Hb #Hq
->(xap_unwind2_rmap_append_closed_true_dx_depth f p … Hb) -Hb
->(nap_plus_unwind2_rmap_append_closed_Lq_dx_depth … Hq) -Hq //
-qed-.
-
-lemma tls_succ_plus_unwind2_rmap_append_closed_bLq_dx (o) (f) (p) (b) (q) (m) (n):
- b ϵ 𝐂❨Ⓣ,m❩ → q ϵ 𝐂❨o,n❩ →
- ▶[f]p ≗ ⇂*[↑(m+n)]▶[f](p●b●𝗟◗q).
-#o #f #p #b #q #m #n #Hb #Hq
->nplus_succ_dx <stream_tls_plus >list_append_assoc
-@(stream_eq_trans … (tls_unwind2_rmap_append_closed_true_dx … Hb)) -Hb
-/3 width=2 by stream_tls_eq_repl, tls_succ_unwind2_rmap_append_closed_Lq_dx/