fact: Definition mixed_distr_law_laws (τ : mixed_distr_law_data) : UU := ((ε ▹ f) • lunitor f = τ • (f ◃ ε) • runitor f) × ((δ ▹ f) • rassociator e e f • (e ◃ τ) • lassociator e f e • (τ ▹ e) • rassociator f e e = τ • (f ◃ δ)) × ((e ◃ η) • τ = runitor e • linvunitor e • (η ▹ e)) × ((e ◃ μ) • τ = lassociator e f f • (τ ▹ f) • rassociator f e f • (f ◃ τ) • lassociator f f e • (μ ▹ e)).
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.DisplayedCats.Core UniMath.Bicategories.Core.Bicat UniMath.Bicategories.Core.BicategoryLaws UniMath.Bicategories.Core.Invertible_2cells UniMath.Bicategories.Core.Unitors UniMath.Bicategories.Core.Examples.OpCellBicat UniMath.Bicategories.DisplayedBicats.DispBicat UniMath.Bicategories.DisplayedBicats.Examples.MonadsLax UniMath.Bicategories.Monads.Examples.MonadsInOp2Bicat