proposition: Proposition transportf_square_prewhisker {C : double_cat} {x₁ x₂ y₁ y₂ z₁ z₂ : C} {v₁ v₁' : x₁ -->v y₁} {v₂ v₂' : x₂ -->v y₂} {w₁ : y₁ -->v z₁} {w₂ : y₂ -->v z₂} {h₁ : x₁ -->h x₂} {h₂ : y₁ -->h y₂} {k : z₁ -->h z₂} (p : v₁ = v₁') (q : v₂ = v₂') (s : square v₁ v₂ h₁ h₂) (s' : square w₁ w₂ h₂ k) : transportf_square p q s ⋆v s' = transportf_square (maponpaths (λ z, z ·v _) p) (maponpaths (λ z, z ·v _) q) (s ⋆v s').
proof: Proof. induction p, q ; cbn. apply idpath. Qed.
imports: UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Prelude UniMath.CategoryTheory.TwoSidedDisplayedCats.TwoSidedDispCat UniMath.CategoryTheory.TwoSidedDisplayedCats.Univalence UniMath.Bicategories.Core.Bicat UniMath.Bicategories.DoubleCategories.Core.DoubleCats UniMath.Bicategories.DoubleCategories.Core.UnivalentDoubleCats