Definition is_strictlyunitpreserving (upd : unit_preserving_data) : UU := ∑ (pf : I_{N} = (F I_{M})), upd = transportf _ pf (identity I_{N}).
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Monoidal.AlternativeDefinitions.MonoidalCategoriesCurried.