proposition: Lemma law1 : functor o inverse = 1 /\ inverse o functor = 1.
proof: Proof. unfold functor, inverse. t_prod. Qed.
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