fact: Definition lenses_laws {s v : C} (l : twosided_disp_cat_of_lawless_lenses s v) : UU := let g := pr1 l in let p := pr2 l in (p · g = BinProductPr1 _ _) × (BinProductArrow _ _ g (identity s) · p = identity s) × (BinProductOfArrows _ (prodC v _) (prodC _ _) (identity v) p · p = BinProductArrow _ _ (BinProductPr1 _ _) (BinProductPr2 _ _ · BinProductPr2 _ _) · p).
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Limits.BinProducts UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Isos UniMath.CategoryTheory.DisplayedCats.Constructions UniMath.CategoryTheory.DisplayedCats.Univalence UniMath.CategoryTheory.DisplayedCats.Projection UniMath.CategoryTheory.TwoSidedDisplayedCats.TwoSidedDispCat UniMath.CategoryTheory.TwoSidedDisplayedCats.Isos UniMath.CategoryTheory.TwoSidedDisplayedCats.Strictness UniMath.CategoryTheory.TwoSidedDisplayedCats.Discrete UniMath.CategoryTheory.TwoSidedDisplayedCats.Univalence UniMath.CategoryTheory.TwoSidedDisplayedCats.Total UniMath.CategoryTheory.TwoSidedDisplayedCats.Examples.FiberwiseProduct UniMath.CategoryTheory.TwoSidedDisplayedCats.Examples.DispCatOnTwoSidedDispCat