Require Import Basics.Overture Basics.Tactics.
Require Import WildCat.Core.
(** Empty category *)
Instance isgraph_empty : IsGraph Empty.
Proof.
by apply Build_IsGraph.
Defined.
Instance is01cat_empty : Is01Cat Empty.
Proof.
srapply Build_Is01Cat; intros [].
Defined.
Instance is0gpd_empty : Is0Gpd Empty.
Proof.
constructor; intros [].
Defined.
Instance is2graph_empty : Is2Graph Empty.
Proof.
intros f g.
by apply Build_IsGraph.
Defined.
Instance is1cat_empty : Is1Cat Empty.
Proof.
snapply Build_Is1Cat; intros [].
Defined.