#f elim (pn_split f) * #g #H #Hf destruct
/3 width=3 by isfin_fwd_push, isfin_inv_next/
qed.
+
+(* Inversion lemmas with tail ***********************************************)
+
+lemma isfin_inv_tl: ∀f. 𝐅⦃⫱f⦄ → 𝐅⦃f⦄.
+#f elim (pn_split f) * /2 width=1 by isfin_next, isfin_push/
+qed-.