include "delayed_updating/unwind/unwind2_path.ma".
include "delayed_updating/unwind/unwind_gen_structure.ma".
-include "delayed_updating/syntax/path_inner.ma".
-include "delayed_updating/syntax/path_proper.ma".
-include "ground/xoa/ex_4_2.ma".
(* UNWIND FOR PATH **********************************************************)
<reverse_rcons <list_tl_lcons <unwind2_rmap_append
@ex3_2_intro [4: |*: // ] <unwind2_path_unfold // (**) (* auto fails *)
qed-.
+
+(* Destructions with inner condition for path *******************************)
+
+lemma unwind2_path_des_inner (f) (p):
+ ▼[f]p ϵ 𝐈 → p ϵ 𝐈.
+#f #p @(list_ind_rcons … p) -p //
+#p * [ #n ] #_ //
+<unwind2_path_d_dx #H0
+elim (pic_inv_d_dx … H0)
+qed-.