PreCategory := @lax_coslice_category _ cat a (Pseudofunctor.
Require Import Functor.Core. Require Import Category.Dual. Require Import InitialTerminalCategory.Core InitialTerminalCategory.Pseudofunctors. Require Import Cat.Core. Require Import Category.Strict. Require Import NaturalTransformation.Paths. Require Import Pseudofunctor.Core. Import Functor.Identity.FunctorIdentityNotations. Import Pseudofunctor.Identity.PseudofunctorIdentityNotations. Import LaxComma.CoreLaws.LaxCommaCategory.