Definition induced_precategoryWithBinOps (M : precategoryWithBinOps) {X:Type} (j : X -> ob M) : precategoryWithBinOps. Proof. exists (induced_category M j). intros a b. exact (@to_binop M (j a) (j b)). Defined.
Require Import UniMath.Foundations.PartD. Require Import UniMath.Foundations.Propositions. Require Import UniMath.Foundations.Sets. Require Import UniMath.Algebra.BinaryOperations. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.TransportMorphisms. Require Import UniMath.CategoryTheory.PrecategoryBinProduct. Require Import UniMath.CategoryTheory.opp_precat.