fact: Definition sigma_transportf_left {x₁ x₂ : C₁} {f : x₁ --> x₂} {y₁ y₂ : C₂} {g₁ g₂ : y₁ --> y₂} (p : g₂ = g₁) {xy₁ : sigma_twosided_disp_cat_data x₁ y₁} {xy₂ : sigma_twosided_disp_cat_data x₂ y₂} (fg : xy₁ -->[ f ][ g₂ ] xy₂) : transportf (λ z, xy₁ -->[ f ][ z ] xy₂) p fg = transportf (λ z, _ -->[ f ][ z ] _) p (pr1 fg) ,, transportf (λ z, @mor_disp _ D₂ _ _ (pr2 xy₁) (pr2 xy₂) z) (sigma_transportf_left_path p fg) (pr2 fg).
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Isos UniMath.CategoryTheory.DisplayedCats.Univalence UniMath.CategoryTheory.DisplayedCats.Projection UniMath.CategoryTheory.TwoSidedDisplayedCats.TwoSidedDispCat UniMath.CategoryTheory.TwoSidedDisplayedCats.Isos UniMath.CategoryTheory.TwoSidedDisplayedCats.Univalence UniMath.CategoryTheory.TwoSidedDisplayedCats.Discrete UniMath.CategoryTheory.TwoSidedDisplayedCats.Total