fact: Definition strict_double_cat_id_left_square {C : category} {D : twosided_disp_cat C C} {I : hor_id D} {Cm : hor_comp D} (lp : strict_double_cat_id_left I Cm) : UU := ∏ (x₁ x₂ y₁ y₂ : C) (v₁ : x₁ --> x₂) (v₂ : y₁ --> y₂) (h : D x₁ y₁) (k : D x₂ y₂) (s : h -->[ v₁ ][ v₂ ] k), double_hor_comp_mor Cm (double_id_mor I v₁) s = transportb_hor_mor (lp _ _ h) (lp _ _ k) s.
imports: UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Prelude UniMath.CategoryTheory.Core.Setcategories UniMath.CategoryTheory.Categories.CategoryOfSetCategories UniMath.CategoryTheory.TwoSidedDisplayedCats.TwoSidedDispCat UniMath.CategoryTheory.TwoSidedDisplayedCats.DisplayedFunctor UniMath.CategoryTheory.TwoSidedDisplayedCats.DisplayedNatTrans UniMath.CategoryTheory.TwoSidedDisplayedCats.Isos UniMath.CategoryTheory.TwoSidedDisplayedCats.Univalence UniMath.CategoryTheory.TwoSidedDisplayedCats.Strictness UniMath.CategoryTheory.TwoSidedDisplayedCats.TransportLaws UniMath.Bicategories.DoubleCategories.Basics.DoubleCategoryBasics