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