fact: Definition comma_category_projection_functor : Functor ((A -> C)^op * (B -> C)) (Cat / !((A * B; PAB) : Cat)) := Build_Functor ((A -> C)^op * (B -> C)) (Cat / !((A * B; PAB) : Cat)) comma_category_projection_functor_object_of comma_category_projection_functor_morphism_of comma_category_projection_functor_composition_of comma_category_projection_functor_identity_of.
imports: Category.Core Functor.Core Category.Prod Functor.Prod.Core Category.Dual Functor.Dual Functor.Composition.Core InitialTerminalCategory.Core InitialTerminalCategory.Functors NatCategory FunctorCategory.Core Cat.Core Functor.Paths Comma.InducedFunctors Comma.Projection Types.Forall PathGroupoids HoTT.Tactics