fact: Definition law : functor o inverse = 1 /\ inverse o functor = 1 := (idpath, idpath)%core.
imports: HoTT.Basics HoTT.Types Category.Core Functor.Core InitialTerminalCategory.Core InitialTerminalCategory.Functors Category.Prod Functor.Prod Functor.Composition.Core Functor.Identity Functor.Composition.Laws