proposition: Proposition twosided_disp_nat_trans_ax (τθ : twosided_disp_nat_trans) {x₁ x₂ : C₁} {y₁ y₂ : C₂} {f : x₁ --> x₂} {g : y₁ --> y₂} {xy₁ : D x₁ y₁} {xy₂ : D x₂ y₂} (fg : xy₁ -->[ f ][ g ] xy₂) : #2 FG fg ;;2 τθ _ _ xy₂ = transportb_disp_mor2 (nat_trans_ax τ _ _ f) (nat_trans_ax θ _ _ g) (τθ _ _ xy₁ ;;2 #2 FG' fg).
proof: Proof. apply (pr2 τθ). Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.whiskering UniMath.CategoryTheory.PrecategoryBinProduct UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Functors UniMath.CategoryTheory.DisplayedCats.NaturalTransformations UniMath.CategoryTheory.TwoSidedDisplayedCats.TwoSidedDispCat UniMath.CategoryTheory.TwoSidedDisplayedCats.Univalence UniMath.CategoryTheory.TwoSidedDisplayedCats.Discrete UniMath.CategoryTheory.TwoSidedDisplayedCats.Total UniMath.CategoryTheory.TwoSidedDisplayedCats.DisplayedFunctor