fact: Definition cia (X : algebra_ob F) : UU := ∏ (x : C) (e : x --> CP (F x) (alg_carrier _ X)), ∃! h : x --> alg_carrier _ X, cia_characteristic_formula X e h.
imports: UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.MoreFoundations.Tactics UniMath.MoreFoundations.PartA UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Limits.BinCoproducts UniMath.CategoryTheory.Limits.Terminal UniMath.CategoryTheory.FunctorAlgebras UniMath.CategoryTheory.FunctorCoalgebras