proposition: Lemma flmonoidal_strong_equality {Fm_strong : fmonoidal_stronglaws (pr11 Fm) (pr21 Fm)} (fl1 fl2 : flmonoidal Fm_strong) : (∏ x y : C', pr111 fl1 x y = pr111 fl2 x y) -> (pr211 fl1 = pr211 fl2) -> fl1 = fl2.
proof: Proof. intros pT pU. use total2_paths_f. - use flmonoidal_equality. + exact pT. + exact pU. - apply isaprop_flmonoidal_stronglaws. Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Monoidal.WhiskeredBifunctors UniMath.CategoryTheory.Monoidal.Categories UniMath.CategoryTheory.Monoidal.Displayed.WhiskeredDisplayedBifunctors UniMath.CategoryTheory.Monoidal.Displayed.Monoidal UniMath.CategoryTheory.Monoidal.Functors UniMath.CategoryTheory.Monoidal.Displayed.TotalMonoidal UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Functors UniMath.CategoryTheory.DisplayedCats.Constructions UniMath.CategoryTheory.DisplayedCats.Total UniMath.CategoryTheory.DisplayedCats.Constructions