fact: Definition preserves_unit_strictly {C D : category} {M : monoidal C} {N : monoidal D} {F : functor C D} (pu : preserves_unit M N F) : UU := ∑ (pf : I_{N} = (F I_{M})), pu = transportf _ pf (identity I_{N}).
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.whiskering UniMath.CategoryTheory.Monoidal.WhiskeredBifunctors UniMath.CategoryTheory.Monoidal.Categories UniMath.CategoryTheory.Monoidal.Structure.Symmetric