proposition: Lemma ZeroIffInitialAndTerminal (b : C) : isZero b <-> (isInitial C b) × (isTerminal C b).
proof: Proof. unfold isZero, isInitial, isTerminal. split; intros H; apply H. Qed.
imports: UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.opp_precat UniMath.CategoryTheory.Limits.Initial UniMath.CategoryTheory.Limits.Terminal