{A B I i j} (l : I) (w : IW I A B i j l) : path_index_iw_label l w # iw_sup I A B i j (iw_label w) (iw_arity l w) = w. Proof. by destruct w. Defined.
Require Import Basics. Require Import Types.Forall Types.Sigma Types.Prod Types.WType.