Definition idtodet_iso {C : markov_category} {x y : C} (p : x = y) : deterministic_iso x y. Proof. induction p. apply identity_deterministic_iso. Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Prelude. Require Import UniMath.CategoryTheory.Limits.Terminal. Require Import UniMath.CategoryTheory.Monoidal.Categories. Require Import UniMath.CategoryTheory.Monoidal.Structure.Cartesian. Require Import UniMath.CategoryTheory.Monoidal.Structure.Symmetric. Require Import UniMath.CategoryTheory.MarkovCategories.MarkovCategory. Import MonoidalNotations. Require Import UniMath.CategoryTheory.MarkovCategories.Determinism.