fact: Definition lax_comma_category `{Funext} A B (S : Pseudofunctor A) (T : Pseudofunctor B) `{forall a b, IsHSet (Functor (S a) (T b))} : PreCategory := @Build_PreCategory (@object _ _ _ S T) (@morphism _ _ _ S T) (@identity _ _ _ S T) (@compose _ _ _ S T) (@associativity _ _ _ S T) (@left_identity _ _ _ S T) (@right_identity _ _ _ S T) _.
imports: Functor.Core Category.Dual InitialTerminalCategory.Core InitialTerminalCategory.Pseudofunctors Cat.Core Category.Strict NaturalTransformation.Paths Pseudofunctor.Core